%
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% This is a list of references concerning interior point methods for
% mathematical programming.
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% Compiled by : Eberhard Kranich
%
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% The author is obliged to Eric Grosse and Dave Gay for making this
% bibliography available via NETLIB.
%
% ****************************************************************
% * ATTENTION: The former "int:" part of the citation keys are *
% * changed to "ipm:"; e.g., int:xyz --> ipm:xyz. *
% ****************************************************************
%
% Current number of references : 2446
%
% Last edit : February 10, 1999
%
%
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@incollection{ipm:Abhyankar1,
author = "S. S. Abhyankar and T. L. Morin and T. B. Trafalis",
title = "Efficient faces of polytope\,: {Interior} point algorithms,
parameterization of algebraic varieties, and multiple objective
optimization",
booktitle = "Mathematical Developments Arising from Linear
Programming\,:\,Proceedings of a Joint Summer Research Conference held at
Bowdoin College, Brunswick, Maine, USA, June/July 1988",
editor = "J. C. Lagarias and M. J. Todd",
year = "1990",
pages = "319--341",
series = "Contemporary Mathematics",
volume = "114",
publisher = "American Mathematical Society",
address = "Providence, Rhode Island, USA"
}
@techreport{ipm:Adler1,
author = "I. Adler",
title = "A primal--dual implementation of {Karmarkar's} algorithm",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Atlanta, GA,
USA}",
year = "1985",
month = "November",
institution = "Operations Research Center, University of California",
address = "Berkeley, CA\,94720, USA"
}
@article{ipm:Adler2,
author = "I. Adler and R. D. C. Monteiro",
title = "Limiting behavior of the affine scaling continuous trajectories for
linear programming problems",
journal = "Mathematical Programming",
volume = "50",
year = "1991",
pages = "29--51"
}
@article{ipm:Adler3,
author = "I. Adler and R. D. C. Monteiro",
title = "A geometric view of parametric linear programming",
journal = "Algorithmica",
volume = "8",
year = "1992",
pages = "161--176"
}
@techreport{ipm:Adler4,
author = "I. Adler and G. Veiga",
title = "On implementing interior point methods for linear programming",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Los Angeles,
CA, USA}",
year = "1986",
month = "April",
institution = "Department of Industrial Engineering and Operations
Research, University of California",
address = "Berkeley, CA\,94720, USA"
}
@techreport{ipm:Adler5,
author = "I. Adler and N. K. Karmarkar and G. Veiga",
title = "Implementing an interior point algorithm for linear programming",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Miami Beach,
FL, USA}",
year = "1986",
month = "October",
institution = "Department of Industrial Engineering and Operations
Research, University of California",
address = "Berkeley, CA\,94720, USA"
}
@techreport{ipm:Adler6,
author = "I. Adler and N. K. Karmarkar and M. G. C. Resende and G. Veiga",
title = "Implementation of an interior point algorithm for linear
programming",
type = "{Technical Report}",
year = "1986",
institution = "Department of Industrial Engineering and Operations
Research, University of California",
address = "Berkeley, CA\,94720, USA"
}
@techreport{ipm:Adler7,
author = "I. Adler and {M. de} Carvalho and M. G. C. Resende and G. Veiga",
title = "Computational performance of variants of {Karmarkar's} algorithm",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in St. Louis,
USA}",
year = "1987",
month = "October",
institution = "Department of Industrial Engineering and Operations
Research, University of California",
address = "Berkeley, CA~94720, USA"
}
@techreport{ipm:Adler8,
author = "I. Adler and {M. de} Carvalho and M. G. C. Resende and G. Veiga",
title = "A {Monte--Carlo} study of variants of interior point algorithms",
type = "{Technical Report}",
year = "1987",
institution = "Department of Industrial Engineering and Operations
Research, University of California",
address = "Berkeley, CA~94720, USA"
}
@article{ipm:Adler9,
author = "I. Adler and N. K. Karmarkar and M. G. C. Resende and G. Veiga",
title = "Data structures and programming techniques for the implementation
of {Karmarkar's} algorithm",
journal = "ORSA Journal on Computing",
volume = "1",
year = "1989",
pages = "84--106"
}
@article{ipm:Adler10,
author = "I. Adler and N. K. Karmarkar and M. G. C. Resende and G. Veiga",
title = "An implementation of {Karmarkar's} algorithm for linear
programming",
journal = "Mathematical Programming",
volume = "44",
year = "1989",
pages = "297--335",
note = "(Errata in {\em Mathematical Programming}, 50:415, 1991)"
}
@techreport{ipm:Adler11,
author = "I. Adler and R. D. C. Monteiro",
title = "An interior point algorithm applied to a class of convex
separable programming problems",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Nashville,
Tennessee, USA}",
year = "1991",
month = "May",
institution = "Department of Industrial Engineering and Operations
Research, University of California",
address = "Berkeley, CA~94720, USA"
}
@techreport{ipm:Adler12,
author = "I. Adler",
title = "Implementation issues of path--following algorithms for linear
programming",
type = "{Talk held at the EURO/TIMS Joint International Conference on
Operational Research in Paris, France}",
year = "1988",
month = "July",
institution = "Department of Industrial Engineering and Operations
Research, University of California",
address = "Berkeley, CA~94720, USA"
}
@techreport{ipm:Adler13,
author = "I. Adler",
title = "Computational tests of the {Karmarkar} algorithm",
type = "{Talk held at the SIAM Conference on Optimization in Houston, TX,
USA}",
year = "1987",
month = "May",
institution = "Department of Industrial Engineering and Operations
Research, University of California",
address = "Berkeley, CA~94720, USA"
}
@incollection{ipm:Adler14,
author = "I. Adler and R. D. C. Monteiro",
title = "Limiting behavior of the affine scaling continuous
trajectories for linear programming problems",
booktitle = "Mathematical Developments Arising from Linear Programming\,:
Proceedings of a Joint Summer Research Conference held at Bowdoin College,
Brunswick, Maine, USA, June/July 1988",
editor = "J. C. Lagarias and M. J. Todd",
year = "1990",
pages = "189--211",
series = "Contemporary Mathematics",
volume = "114",
publisher = "American Mathematical Society",
address = "Providence, Rhode Island, USA"
}
@article{ipm:Adler15,
author = "I. Adler and P. A. Beling",
title = "Polynomial algorithms for {LP} over a subring of the algebraic
integers with applications to {LP} with circulant matrices",
journal = "Mathematical Programming",
volume = "57",
year = "1992",
pages = "121--143",
note = "Condensed version in\,: {\em 32nd Annual Symposium on Foundations of
Computer Science (San Juan, 1991), pp.\,480--487, IEEE Computer Society
Press, Los Alamitos, CA, USA, 1991}"
}
@article{ipm:Adler16,
author = "I. Adler and R. Shamir",
title = "A randomized scheme for speeding up algorithms for linear and
convex programming with high constraints--to--variables ratio",
journal = "Mathematical Programming",
volume = "61",
year = "1993",
pages = "39--53"
}
@article{ipm:Adler17,
author = "I. Adler and P. A. Beling",
title = "Polynomial algorithms for linear programming over the algebraic
numbers",
journal = "Algorithmica",
volume = "12",
year = "1994",
pages = "436--457"
}
@techreport{ipm:Adler18,
author = "I. Adler and F. Alizadeh",
title = "Primal--dual interior point algorithms for convex quadratically
constrained and semidefinite optimization problems",
type = "{RUTCOR Research Report}",
year = "1995",
number = "RRR~46--95",
institution = "RUTCOR -- Rutgers Center for Operations Research, Hill
Center for Mathematical Sciences",
address = "New Brunswick, NJ~08903, USA",
}
@article{ipm:Akguel1,
author = "M. Akg{\"{u}}l",
title = "A short proof of {Karmarkar's} main result",
journal = "Do{\u{g}}a T{\"{u}}rk Matematik Dergisi (Turkish Journal of
Mathematics, Ankara)",
volume = "14",
year = "1990",
pages = "48--55"
}
@article{ipm:Akguel2,
author = "M. Akg{\"{u}}l",
title = "On the exact solution of a system of linear homogeneous equations
via a projective algorithm",
journal = "Arabian Journal for Science and Engineering",
volume = "15",
number = "4",
year = "1990",
pages = "753--754"
}
@techreport{ipm:Akrotirianakis1,
author = "I. Akrotirianakis and B. Rustem",
title = "A globally convergent interior point algorithm for general
non--linear programming problems",
type = "{Technical Report}",
number = "97--14",
year = "1997",
month = "November",
institution = "Department of Computing, Imperial College of Science,
Technology and Medicine",
address = "180~Queen's Gate, London\,SW7\,2BZ, United Kingdom"
}
@article{ipm:Albuquerque1,
author = "J. S.Albuquerque and V. Gopal and G. H. Staus and L. T. Biegler
and B. C. Ydstie",
title = "Interior point {SQP} strategies for structured process
optimization problems",
journal = "Computers and Chemical Engineering",
volume = "21",
year = "1997",
pages = "S853--S859 (Supplement)"
}
@techreport{ipm:Alfakih1,
author = "A. Y. Alfakih and A. Khandani and H. Wolkowicz",
title = "An interior--point algorithm for the {Euclidean} distance matrix
completion problem",
type = "{Research Report}",
number = "CORR~97--9",
year = "1997",
institution = "Department of Combinatorics and Optimization, University
of Waterloo",
address = "Waterloo, Ontario, Canada"
}
@article{ipm:Alizadeh1,
author = "F. Alizadeh",
title = "A sublinear--time randomized parallel algorithm for the
maximum clique problem in perfect graphs",
journal = "Proceedings of the Second ACM--SIAM Symposium on Discrete
Algorithms",
year = "1991",
pages = "188--194"
}
@incollection{ipm:Alizadeh2,
author = "F. Alizadeh",
title = "Optimization over the positive semi-definite cone\,:
{Interior--point} methods and combinatorial applications",
booktitle = "Advances in Optimization and Parallel Computing",
editor = "P. M. Pardalos",
year = "1992",
pages = "1--25",
publisher = "North Holland",
address = "Amsterdam, The Netherlands"
}
@incollection{ipm:Alizadeh3,
author = "F. Alizadeh",
title = "Combinatorial optimization with semi--definite matrices",
booktitle = "Proceedings of the Second Integer Programming and
Combinatorial Optimization (IPCO) Conference",
editor = "E. Balas and G. Cornu{\'e}jols and R. Kannan",
year = "1992",
pages = "385--405",
publisher = "Carnegie--Mellon University",
address = "Pittsburg, PA, USA"
}
@phdthesis{ipm:Alizadeh4,
author = "F. Alizadeh",
title = "Combinatorial optimization with interior point methods and
semi--definite matrices",
year = "1991",
school = "University of Minnesota",
address = "Minneapolis, Minnesota, USA"
}
@article{ipm:Alizadeh5,
author = "F. Alizadeh",
title = "Interior point methods in semidefinite programming with
applications to combinatorial optimization",
journal = "SIAM Journal on Optimization",
volume = "5",
year = "1995",
pages = "13--51"
}
@techreport{ipm:Alizadeh6,
author = "F. Alizadeh and J.--P. A. Haeberly and M. L. Overton",
title = "Complementarity and nondegeneracy in semidefinite programming",
type = "{RUTCOR Research Report}",
year = "1995",
month = "March",
institution = "RUTCOR -- Rutgers Center for Operations Research, Hill
Center for Mathematical Sciences",
address = "New Brunswick, NJ~08903, USA",
}
@techreport{ipm:Alizadeh7,
author = "F. Alizadeh and J.--P. A. Haeberly and M. L. Overton",
title = "Primal--dual interior--point methods for semidefinite programming",
type = "{RUTCOR Research Report}",
year = "1995",
institution = "RUTCOR -- Rutgers Center for Operations Research, Hill
Center for Mathematical Sciences",
address = "New Brunswick, NJ~08903, USA",
note = "Also published as\,: Technical Report, Courant Institute of
Mathematical Sciences, New York University, New York, 1995"
}
@incollection{ipm:Alizadeh8,
author = "F. Alizadeh and J.--P. A. Haeberly and M. L. Overton",
title = "A new primal--dual interior--point method for semidefinite
programming",
booktitle = "Applied Linear Algebra (Proceedings of the 5th SIAM
Conference, held in Snowbird, UT, USA, June 1994)",
editor = "J. G. Lewis",
year = "1994",
pages = "113--117",
publisher = "SIAM Publications",
address = "Philadelphia, PA, USA"
}
@techreport{ipm:Alizadeh9,
author = "F. Alizadeh and J.--P. A. Haeberly and M. V. Nayakkankuppam
and M. L. Overton",
title = "{SDPpack} user's guide, version 0.8beta",
type = "{Technical Report}",
number = "734",
year = "1997",
month = "March",
institution = "Department of Computer Science, New York University",
address = "New York, NY, USA"
}
@article{ipm:Alizadeh10,
author = "F. Alizadeh and J.--P. A. Haeberly and M. L. Overton",
title = "Primal--dual interior--point methods for semidefinite
programming\,: {Convergence} rates, stability and numerical results",
journal = "SIAM Journal on Optimization",
volume = "8",
year = "1998",
pages = "746--768"
}
@techreport{ipm:Alizadeh11,
author = "F. Alizadeh and J.--P. A. Haeberly and M. V. Nayakkankuppam
and M. L. Overton and S. Schmieta",
title = "{SDPpack} user's guide, version 0.9beta",
type = "{Technical Report}",
number = "737",
year = "1997",
institution = "Department of Computer Science, New York University",
address = "New York, NY, USA"
}
@techreport{ipm:Alizadeh12,
author = "F. Alizadeh and S. Schmieta",
title = "Optimization with semidefinite, quadratic and linear constraints",
type = "{RUTCOR Research Report}",
number = "RRR\,23--97",
year = "1997",
month = "November",
institution = "RUTCOR -- Rutgers Center for Operations Research, Hill
Center for Mathematical Sciences",
address = "New Brunswick, NJ~08903, USA"
}
@article{ipm:AlSultan1,
author = "K. S. {Al--Sultan}",
title = "A {Newton} based radius reduction algorithm for nearest point
problems in pos cones",
journal = "ORSA Journal on Computing",
volume = "6",
year = "1994",
pages = "282--289"
}
@phdthesis{ipm:AlSultan2,
author = "K. S. {Al--Sultan}",
title = "Nearest point problems\,: {Theory} and algorithms",
year = "1990",
school = "University of Michigan",
address = "Ann Arbor, Michigan, USA"
}
@article{ipm:Altman1,
author = "A. Altman and J. Gondzio",
title = "An efficient implementation of a higher order primal--dual
interior point method for large sparse linear programs",
journal = "Archives of Control Sciences",
volume = "2",
year = "1993",
pages = "23--40"
}
@techreport{ipm:Altman2,
author = "A. Altman and J. Gondzio",
title = "{\em HOPDM} -- {A} higher order primal--dual method for large
scale linear programming",
type = "{Program Manual}",
year = "1992",
month = "July",
institution = "Systems Research Institute, Polish Academy of Sciences",
address = "Newelska6, PL--01--447~Warshaw, Poland",
note = "See also Altman and Gondzio \cite{ipm:Altman3}"
}
@article{ipm:Altman3,
author = "A. Altman and J. Gondzio",
title = "{\em HOPDM} -- {A} higher order primal--dual method for large
scale linear programming",
journal = "European Journal of Operational Research",
volume = "66",
year = "1993",
pages = "159--160",
note = "See also Altman and Gondzio \cite{ipm:Altman2}, and Gondzio
\cite{ipm:Gondzio9}"
}
@incollection{ipm:Altman4,
author = "A. Altman",
title = "An application of an interior point method for problems with
uncertainty",
booktitle = "Operations Research~'93",
editor = "A. Bachem and U. Derigs and M. J{\"u}nger and R. Schrader",
year = "1994",
pages = "5--7",
publisher = "Physica Verlag (A Springer--Verlag Company)",
address = "Heidelberg, Germany"
}
@article{ipm:Altman5,
author = "A. Altman",
title = "{\em QHOPDM} -- {A} higher order primal--dual method for large
scale convex quadratic programming",
journal = "European Journal of Operational Research",
volume = "87",
year = "1995",
pages = "200--202"
}
@article{ipm:Altman6,
author = "A. Altman and M. Amann and G. Klaassen and A. Ruszczynski
and W. Sch{\"o}pp",
title = "Cost--effective sulphur emission reduction under uncertainty",
journal = "European Journal of Operational Research",
volume = "90",
year = "1996",
pages = "395--412"
}
@article{ipm:Altman7,
author = "A. Altman and K. C. Kiwiel",
title = "A note on some analytic center cutting plane methods for convex
feasibility and minimization problems",
journal = "Computational Optimization and Applications",
volume = "5",
year = "1996",
pages = "175--180"
}
@article{ipm:Altman8,
author = "A. Altman",
title = "The interior point method for nondifferentiable optimization",
journal = "Journal of Computer and Systems Sciences International",
volume = "33",
number = "6",
year = "1995",
pages = "12--21"
}
@article{ipm:Altman9,
author = "A. Altman",
title = "Higher order primal--dual interior point method for separable
convex quadratic optimization",
journal = "Control and Cybernetics (Poland)",
volume = "25",
year = "1996",
pages = "761--772"
}
@techreport{ipm:Altman10,
author = "A. Altman and J. Gondzio",
title = "Regularized symmetric indefinite systems in interior point
methods for linear and quadratic optimization",
type = "{Logilab Technical Report}",
number = "98.6",
year = "1998",
month = "March",
institution = "Section of Management Studies, University of Geneva",
address = "102 Bd. Carl Vogt, CH--1211 Geneva 4, Switzerland"
}
@article{ipm:Amaya1,
author = "J. Amaya",
title = "Numerical experiments with the symmetric affine scaling algorithm
on degenerate linear programming problems",
journal = "Optimization",
volume = "27",
year = "1993",
pages = "51--62"
}
@article{ipm:Amaya2,
author = "J. Amaya",
title = "On the symmetric affine scaling algorithm for linear programming",
journal = "Optimization",
volume = "32",
year = "1995",
pages = "147--158"
}
@techreport{ipm:Andersen1,
author = "J. A. Andersen and R. Levkovitz and G. Mitra and M. Tamiz",
title = "Adopting interior search algorithms for the solution of {LP}s for
serial, coarse grain parallel and massively parallel computers",
type = "{Talk held at the First International Symposium on Interior Point
Methods for Linear Programming\,: Theory and Practice, in Scheveningen, The
Netherlands}",
year = "1990",
month = "January",
institution = "Department of Mathematics and Statistics, Brunel
University",
address = "Uxbridge, Middlesex~UB8~3PH, United Kingdom"
}
@techreport{ipm:Andersen2,
author = "J. A. Andersen and G. Mitra",
title = "Solving the {Newton} iteration step of the interior point method
on massively parallel ({SIMD}) computer",
type = "{Talk held at the Symposium APMOD~'91---Applied Mathematical
Programming and Modelling, Brunel University, London, United Kingdom}",
year = "1991",
month = "January",
institution = "Department of Mathematics and Statistics, Brunel
University",
address = "Uxbridge, Middlesex~UB8~3PH, United Kingdom"
}
@article{ipm:Andersen3,
author = "K. D. Andersen",
title = "An infeasible dual affine scaling method for linear programming",
journal = "Mathematical Programming Society Committee on Algorithms (COAL)
Bulletin",
volume = "22",
year = "1993",
pages = "19--27"
}
@incollection{ipm:Andersen4,
author = "J. A. Andersen and R. Levkovitz and G. Mitra",
title = "Adapting the interior point method for the solution of linear
programs on high performance computers",
booktitle = "Operations Research and Computer Science\,: New Developments in
Their Interfaces",
year = "1992",
pages = "73--86",
publisher = "Pergamon Press",
address = "Oxford, United Kingdom",
editor = "O. Balci and R. Sharda and S. A. Zenios"
}
@phdthesis{ipm:Andersen5,
author = "J. A. Andersen",
title = "Iterative methods for the solution of linear programs",
year = "1992",
school = "Department of Mathematics and Statistics, Brunel University",
address = "Uxbridge, Middlesex~UB8\,3PH, United Kingdom"
}
@article{ipm:Andersen6,
author = "E. D. Andersen and Y. Ye",
title = "Combining interior--point algorithms and pivoting for linear
programming",
journal = "Management Science",
volume = "42",
year = "1996",
pages = "1719--1731"
}
@article{ipm:Andersen7,
author = "E. D. Andersen",
title = "Finding all linearly dependent rows in large--scale linear
programming",
journal = "Optimization Methods and Software",
volume = "6",
year = "1995",
pages = "219--2227"
}
@article{ipm:Andersen8,
author = "K. D. Andersen and E. Christiansen",
title = "Limit analysis with the dual affine scaling algorithm",
journal = "Journal of Computational and Applied Mathematics",
volume = "59",
year = "1995",
pages = "233--243"
}
@article{ipm:Andersen9,
author = "E. D. Andersen and K. D. Andersen",
title = "Presolving in linear programming",
journal = "Mathematical Programming",
volume = "71",
year = "1995",
pages = "221--245"
}
@techreport{ipm:Andersen10,
author = "K. D. Andersen",
title = "A large scaling implementation of the dual affine scaling
algorithm",
type = "Preprint",
year = "1993",
institution = "Department of Mathematics and Computer Science, Odense
University",
address = "DK--5320~Odense~M, Denmark",
note = "To appear in {\em Mathematical Programming Society Committee on
Algorithms (COAL) Bulletin}"
}
@article{ipm:Andersen11,
author = "K. D. Andersen",
title = "A modified {Schur} complement for handling dense columns in
interior point methods for linear programming",
journal = "ACM Transactions on Mathematical Software",
volume = "22",
year = "1996",
pages = "348--356"
}
@techreport{ipm:Andersen12,
author = "K. D. Andersen and E. D. Christiansen",
title = "A {Newton} barrier method for minimizing a sum of {Euclidean}
norms subject to linear equality constraints",
type = "Preprint",
number = "95--07",
year = "1995",
month = "February",
institution = "Department of Mathematics and Computer Science, Odense
University",
address = "DK--5320~Odense~M, Denmark"
}
@article{ipm:Andersen13,
author = "E. D. Andersen and Y. Ye",
title = "On a homogeneous algorithm for the monotone complementarity
problem",
journal = "Mathematical Programming",
volume = "84",
year = "1999",
pages = "375--399"
}
@techreport{ipm:Andersen14,
author = "K. D. Andersen and E. D. Christiansen",
title = "A symmetric primal--dual {Newton} method for minimizing a sum of
norms",
type = "Preprint",
year = "1995",
institution = "Department of Mathematics and Computer Science, Odense
University",
address = "DK--5320~Odense~M, Denmark"
}
@incollection{ipm:Anderson15,
author = "E. D. Andersen and J. Gondzio and C. M{\'e}sz{\'a}ros
and X. Xu",
title = "Implementation of interior point methods for large scale linear
programming",
booktitle = "Interior Point Methods of Mathematical Programming",
editor = "T. Terlaky",
year = "1996",
pages = "189--252",
series = "Applied Optimization",
volume = "5",
publisher = "Kluer Academic Publishers",
address = "Dordrecht, The Netherlands"
}
@phdthesis{ipm:Andersen16,
author = "E. D. Andersen",
title = "Solution of linear and convex optimization problems with
interior--point methods",
year = "1996",
month = "January",
school = "Department of Mathematics and Computer Science, Odense
University,",
address = "DK--5320~Odense~M, Denmark"
}
@article{ipm:Andersen17,
author = "K. D. Andersen",
title = "An efficient {Newton} barrier method for minimizing a sum of
{Euclidean} norms",
journal = "SIAM Journal on Optimization",
volume = "6",
year = "1996",
pages = "74--95"
}
@techreport{ipm:Andersen18,
author = "E. D. Andersen and K. D. Andersen",
title = "{The APOS LP solver}",
type = "{Technical Report}",
year = "1995",
institution = "Center of Operations Research and Econometrics, Universite
Catholique de Louvain",
address = "B--1348~Louvain--la--Neuve, Belgium"
}
@techreport{ipm:Andersen19,
author = "E. D. Andersen",
title = "Implementation of interior point methods for large scale linear
programming",
type = "{Technical Report}",
number = "96--1",
year = "1996",
institution = "Department of Management, School of Business and
Admininstration, Odense Uinversity",
address = "Odense, Denmark"
}
@techreport{ipm:Andersen20,
author = "E. D. Andersen and K. D. Andersen",
title = "{The APOS linear programming solver\,: An} implementation of the
homogeneous algorithm",
type = "{CORE Discussion Paper}",
number = "9337",
year = "1997",
institution = "Center of Operations Research and Econometrics, Universite
Catholique de Louvain",
address = "B--1348~Louvain--la--Neuve, Belgium"
}
@techreport{ipm:Andersen21,
author = "E. D. Andersen",
title = "On exploiting problem structure in a basis identification
procedure for linear programming",
type = "{Technical Report}",
number = "96--6",
year = "1996",
institution = "Department of Management, School of Business and
Admininstration, Odense Uinversity",
address = "Odense, Denmark"
}
@article{ipm:Andersen22,
author = "E. D. Andersen and Y. Ye",
title = "A computational study of the homogeneous algorithm for
large-- scale convex optimization",
journal = "Computational Optimization and Applications",
volume = "10",
year = "1998",
pages = "243--269"
}
@incollection{ipm:Andersen23,
author = "E. D. Andersen and Y. Ye",
title = "On a homogeneous algorithm for a monotone complementarity problem
with nonlinear equality constraints",
booktitle = "Complementarity and Variational Problems\,:
State--of--the--Art (Baltimore 1995)",
editor = "M. C. Ferris and J.--S. Pang",
year = "1997",
pages = "1--11",
publisher = "SIAM Publications",
address = "Philadelphia, PA, USA"
}
@techreport{ipm:Andersen24,
author = "E. D. Andersen and K. D. Andersen",
title = "A parallel interior--point algorithm for linear programming on a
shared memory machine",
type = "{CORE Discussion Paper}",
number = "9808",
year = "1998",
institution = "Center of Operations Research and Econometrics, Universite
Catholique de Louvain",
address = "B--1348~Louvain--la--Neuve, Belgium"
}
@techreport{ipm:Andersen25,
author = "E. D. Andersen and A. Damgaard",
title = "Utility based option pricing with proportional transaction
costs and diversification problems\,: {An} interior point optimization
approach",
type = "{Technical Report}",
number = "",
year = "1997",
institution = "Department of Management, School of Business and
Admininstration, Odense University",
address = "Odense, Denmark"
}
@incollection{ipm:Andersen26,
author = "E. D. Andersen",
title = "The homogeneous self--dual methods for linear programming",
booktitle = "Encyclopaedia of Optimization",
editor = "C. A. Floudas and P. M. Pardalos",
year = "1997",
pages = "",
publisher = "Kluwer Academic Publishers",
address = "Dordrecht, The Netherlands"
}
@techreport{ipm:Andersen27,
author = "K. D. Andersen and E. Christiansen and A. R. Conn
and M. L. Overton",
title = "An efficient primal--dual interior--point method for
minimizing a sum of {Euclidean} norms",
type = "{CORE Discussion Paper}",
number = "",
year = "1998",
month = "August",
institution = "Center of Operations Research and Econometrics,
Universite Catholique de Louvain",
address = "B--1348~Louvain--la--Neuve, Belgium"
}
@article{ipm:Andrusenko1,
author = "S. K. Andrusenko and E. A. Nurminskii and P. I. Stetsyuk",
title = "Numerical experiments in a new class of algorithms in linear
programming",
journal = "Zhurnal Vychislitel'noi Matematiki~i~ Matematicheskoi
Fiziki (Moscow)",
volume = "27",
year = "1987",
pages = "349--356",
note = "Translated in\,: {\em USSR Computational Mathematics and
Mathematical Physics}, 27(2):18--22, 1987"
}
@article{ipm:Angier1,
author = "N. Angier",
title = "Folding the perfect corner",
journal = "Time Magazin",
volume = "124",
year = "1984",
month = "December 3,",
pages = "55"
}
@article{ipm:Anitescu1,
author = "M. Anitescu and G. Lesaja and F. Potra",
title = "An infeasible--interior--point predictor--corrector algorithm for
the {$P_{*}$}--geometric {LCP}",
journal = "Applied Mathematics and Optimization",
volume = "36",
year = "1997",
pages = "203--228"
}
@techreport{ipm:Anitescu2,
author = "M. Anitescu and G. Lesaja and F. Potra",
title = "Equivalence between different formulations of the linear
complementarity problem",
type = "{Reports on Computational Mathematics}",
number = "71",
year = "1995",
month = "June",
institution = "Department of Mathematics, University of Iowa",
address = "Iowa City, IA~52242, USA"
}
@techreport{ipm:Anstreicher1,
author = "K. M. Anstreicher",
title = "Analysis of a modified {Karmarkar} algorithm for linear
programming",
type = "{Technical Report}",
number = "B\#84",
year = "1985",
month = "August",
institution = "Yale School of Management, Yale University",
address = "New Haven, CT~06520, USA"
}
@techreport{ipm:Anstreicher2,
author = "K. M. Anstreicher",
title = "Analysis of {Karmarkar's} algorithm for fractional linear
programming",
type = "{Technical Report}",
year = "1985",
month = "November",
institution = "Yale School of Management, Yale University",
address = "New Haven, CT~06520, USA"
}
@article{ipm:Anstreicher3,
author = "K. M. Anstreicher",
title = "A monotonic projective algorithm for fractional linear
programming",
journal = "Algorithmica",
volume = "1",
number = "4",
year = "1986",
pages = "483--498"
}
@article{ipm:Anstreicher4,
author = "K. M. Anstreicher",
title = "A strenghtened acceptance criterion for approximate projections in
{Karmarkar's} algorithm",
journal = "Operations Research Letters",
volume = "5",
year = "1986",
pages = "211--214"
}
@techreport{ipm:Anstreicher5,
author = "K. M. Anstreicher",
title = "On the complexity of the projective algorithm for standard form
linear programming",
type = "{Technical Report}",
number = "B\#104",
year = "1987",
institution = "Yale School of Management, Yale University",
address = "New Haven, CT~06520, USA"
}
@incollection{ipm:Anstreicher6,
author = "K. M. Anstreicher",
title = "Dual ellipsoids and degeneracy in the projective algorithm for
linear programming",
booktitle = "Mathematical Developments Arising from Linear Programming\,:
Proceedings of a Joint Summer Research Conference held at Bowdoin College,
Brunswick, Maine, USA, June/July 1988",
editor = "J. C. Lagarias and M. J. Todd",
year = "1990",
pages = "141--149",
series = "Contemporary Mathematics",
volume = "114",
publisher = "American Mathematical Society",
address = "Providence, Rhode Island, USA"
}
@article{ipm:Anstreicher7,
author = "K. M. Anstreicher",
title = "Linear programming and the {Newton} barrier flow",
journal = "Mathematical Programming",
volume = "41",
year = "1988",
pages = "367--373"
}
@article{ipm:Anstreicher8,
author = "K. M. Anstreicher",
title = "On the performance of {Karmarkar's} algorithm over a sequence of
iterations",
journal = "SIAM Journal on Optimization",
volume = "1",
number = "1",
year = "1991",
pages = "22--29"
}
@article{ipm:Anstreicher9,
author = "K. M. Anstreicher",
title = "The worst--case step in {Karmarkar's} algorithm",
journal = "Mathematics of Operations Research",
volume = "14",
year = "1989",
pages = "294--302"
}
@article{ipm:Anstreicher10,
author = "K. M. Anstreicher",
title = "Progress in interior point algorithms since 1984",
journal = "SIAM News",
volume = "22",
year = "1989",
month = "March",
pages = "12--14"
}
@article{ipm:Anstreicher11,
author = "K. M. Anstreicher",
title = "A combined phase\,{I}\,--\,phase\,{II} scaled potential algorithm
for linear programming",
journal = "Mathematical Programming",
volume = "52",
year = "1991",
pages = "429--439"
}
@article{ipm:Anstreicher12,
author = "K. M. Anstreicher",
title = "A standard form variant and safeguarded linesearch for the modified
{Karmarkar} algorithm",
journal = "Mathematical Programming",
volume = "47",
year = "1990",
pages = "337--351"
}
@article{ipm:Anstreicher13,
author = "K. M. Anstreicher and R. A. Bosch",
title = "Long steps in a ${O(n^{3}L)}$ algorithm for linear programming",
journal = "Mathematical Programming",
volume = "54",
year = "1992",
pages = "251--265"
}
@article{ipm:Anstreicher14,
author = "K. M. Anstreicher and P. Watteyne",
title = "A family of search directions for {Karmarkar's} algorithm",
journal = "Operations Research",
volume = "41",
year = "1993",
pages = "759--767"
}
@article{ipm:Anstreicher15,
author = "K. M. Anstreicher and {D. den} Hertog and C. Roos and T. Terlaky",
title = "A long step barrier method for convex quadratic programming",
journal = "Algorithmica",
volume = "10",
year = "1993",
pages = "365--382"
}
@article{ipm:Anstreicher16,
author = "K. M. Anstreicher",
title = "Strict monotonicity and improved complexity in the standard form
projective algorithm for linear programming",
journal = "Mathematical Programming",
volume = "62",
year = "1993",
pages = "517--535"
}
@article{ipm:Anstreicher17,
author = "K. M. Anstreicher",
title = "On monotonicity in the scaled potential algorithm for linear
programming",
journal = "Linear Algebra and Its Applications",
volume = "152",
year = "1991",
pages = "223--232"
}
@article{ipm:Anstreicher18,
author = "K. M. Anstreicher",
title = "A combined phase\,{I}\,--\,phase\,{II} projective algorithm for
linear programming",
journal = "Mathematical Programming",
volume = "43",
year = "1989",
pages = "209--223"
}
@article{ipm:Anstreicher19,
author = "K. M. Anstreicher",
title = "On long step path following and {SUMT} for linear and quadratic
programming",
journal = "SIAM Journal on Optimization",
volume = "6",
year = "1996",
pages = "33--46"
}
@article{ipm:Anstreicher20,
author = "K. M. Anstreicher",
title = "On interior algorithms for linear programming with no regularity
assumptions",
journal = "Operations Research Letters",
volume = "11",
year = "1992",
pages = "209--212"
}
@techreport{ipm:Anstreicher21,
author = "K. M. Anstreicher and R. A. Bosch",
title = "On partial updating in a potential reduction linear programming
algorithm of {Kojima, Mizuno and Yoshise}",
type = "{Technical Report}",
year = "1991",
institution = "Yale School of Management, Yale University",
address = "New Haven, CT~06520, USA",
note = "Same as Bosch and Anstreicher \cite{ipm:Bosch2}"
}
@techreport{ipm:Anstreicher22,
author = "K. M. Anstreicher",
title = "Recent developments in algorithms for linear programming",
type = "{Talk held at the Third SIAM Conference on Optimization in Boston,
MA, USA}",
year = "1989",
month = "April",
institution = "Yale School of Management, Yale University",
address = "New Haven, CT~06520, USA"
}
@techreport{ipm:Anstreicher23,
author = "K. M. Anstreicher",
title = "Advances in interior point methods for linear programming",
type = "{Tutorial held at the ORSA/TIMS Joint National Meeting in Anaheim,
CA, USA}",
year = "1991",
month = "November",
institution = "Department of Management Science, University of Iowa",
address = "Iowa City, IA~52242, USA"
}
@techreport{ipm:Anstreicher24,
author = "K. M. Anstreicher and J. Ji",
title = "More on dual ellipsoids and degeneracy in interior algorithms for
linear programming",
type = "{Talk held at the Fourth SIAM Conference on Optimization in Chicago,
IL, USA}",
year = "1992",
month = "May",
institution = "Department of Management Science, University of Iowa",
address = "Iowa City, IA~52242, USA"
}
@techreport{ipm:Anstreicher25,
author = "K. M. Anstreicher",
title = "Efficient centering for linear programming interior point methods",
type = "{Technical Report}",
year = "1992",
month = "January",
institution = "Department of Management Science, University of Iowa",
address = "Iowa City, IA~52242, USA"
}
@techreport{ipm:Anstreicher26,
author = "K. M. Anstreicher and J. Ji and Y. Ye",
title = "Average performance of an ellipsoid termination criterion for
linear programming interior point algorithms",
type = "{Technical Report}",
number = "92--01",
year = "1992",
month = "February",
institution = "Department of Management Science, University of Iowa",
address = "Iowa City, IA~52242, USA"
}
@techreport{ipm:Anstreicher27,
author = "K. M. Anstreicher and J. Ji and F. A. Potra and Y. Ye",
title = "Probabilistic analysis of an infeasible primal--dual algorithm for
linear programming",
type = "{Reports on Computational Mathematics}",
number = "27",
year = "1992",
month = "July",
institution = "Department of Mathematics, University of Iowa",
address = "Iowa City, IA~52242, USA"
}
@incollection{ipm:Anstreicher28,
author = "K. M. Anstreicher and J. Ji and F. A. Potra and Y. Ye",
title = "Average performance of a self--dual interior--point algorithm for
linear programming",
booktitle = "Complexity in Numerical Optimization",
editor = "P. M. Pardalos",
year = "1993",
pages = "1--15",
publisher = "World Scientific Publishing Co.",
address = "London, United Kingdom"
}
@article{ipm:Anstreicher29,
author = "K. M. Anstreicher and J.--Ph. Vial",
title = "On the convergence of an infeasible primal--dual interior--point
method for convex programming",
journal = "Optimization Methods and Software",
volume = "3",
year = "1994",
pages = "273--283"
}
@article{ipm:Anstreicher30,
author = "K. M. Anstreicher and R. A. Bosch",
title = "A new infinity--norm path following algorithm for linear
programming",
journal = "SIAM Journal on Optimization",
volume = "5",
year = "1995",
pages = "236--246"
}
@article{ipm:Anstreicher31,
author = "K. M. Anstreicher",
title = "Large step volumetric potential reduction algorithms for
linear programming",
journal = "Annals of Operations Research",
volume = "62",
year = "1996",
pages = "521--538"
}
@article{ipm:Anstreicher32,
author = "K. M. Anstreicher",
title = "On {Vaidya's} volumetric cutting plane method for convex
programming",
journal = "Mathematics of Operations Research",
volume = "22",
year = "1997",
pages = "63--89"
}
@article{ipm:Anstreicher33,
author = "K. M. Anstreicher",
title = "Volumetric path following algorithms for linear programming",
journal = "Mathematical Programming",
volume = "76",
year = "1997",
pages = "245--263"
}
@book{ipm:Anstreicher34,
author = "K. M. Anstreicher and R. M. Freund",
title = "{Interior Point Methods in Mathematical Programming}",
year = "1996",
series = "Annals of Operations Research",
volume = "62",
publisher = "Baltzer Science Publishing Company",
address = "Basel, Switzerland",
note = "Special issue"
}
@incollection{ipm:Anstreicher35,
author = "K. M. Anstreicher and M. Fampa",
title = "A long--step path following algorithm for semidefinite
programming problems",
year = "1998",
pages = "181--196",
booktitle = "Topics in Semidefinite and Interior--Point Methods",
editor = "P. M. Pardalos and M. Wolkowicz",
series = "Fields Institute Communications Series",
volume = "18",
publisher = "American Mathematical Society (AMS)",
address = "Providence, RI, USA"
}
@book{ipm:Anstreicher36,
author = "K. M. Anstreicher",
title = "{Interior Point Methods in Theory and Practice}",
year = "1997",
series = "Mathematical Programming",
volume = "76",
publisher = "North Holland",
address = "Amsterdam, The Netherlands",
note = "(Special issue)"
}
@incollection{ipm:Anstreicher37,
author = "K. M. Anstreicher",
title = "Potential reduction Algorithms",
booktitle = "Interior Point Methods of Mathematical Programming",
editor = "T. Terlaky",
year = "1996",
pages = "125--158",
series = "Applied Optimization",
volume = "5",
publisher = "Kluer Academic Publishers",
address = "Dordrecht, The Netherlands"
}
@techreport{ipm:Anstreicher38,
author = "K. M. Anstreicher",
title = "Ellipsoidal approximations of convex sets based on the volumetric
barrier",
type = "{Technical Report}",
year = "1997",
month = "March",
institution = "Department of Mathematics, University of Iowa",
address = "Iowa City, IA~52242, USA"
}
@article{ipm:Anstreicher39,
author = "K. M. Anstreicher",
title = "Towards a practical volumetric cutting plane method for convex
programming",
journal = "SIAM Journal on Optimization",
volume = "9",
year = "1999",
pages = "190--206"
}
@techreport{ipm:Anstreicher40,
author = "K. M. Anstreicher",
title = "The volumetric barrier for semidefinite programming",
type = "{Technical Report}",
year = "1998",
month = "January",
institution = "Department of Mathematics, University of Iowa",
address = "Iowa City, IA~52242, USA"
}
@techreport{ipm:Anstreicher41,
author = "K. M. Anstreicher and H. Wolkowicz",
title = "On {Lagrangian} relaxation of quadratic matrix constraints",
type = "{Research Report}",
number = "CORR 98--24",
year = "1998",
institution = "Department of Combinatorics and Optimization,
University of Waterloo",
address = "Waterloo, Ontario~N2L\,3G1, Canada"
}
@techreport{ipm:Anstreicher42,
author = "K. M. Anstreicher",
title = "On the equivalence of convex programming bounds for
{Boolean} quadratic programming",
type = "{Technical Report}",
number = "",
year = "1998",
month = "May",
institution = "Department of Mathematics, University of Iowa",
address = "Iowa City, IA~52242, USA"
}
@techreport{ipm:Anstreicher43,
author = "K. M. Anstreicher X. Chen and H. Wolkowicz and Y.--X. Yuan",
title = "Strong duality for a trust--region type relaxation of the
quadratic assignment problem",
type = "{Research Report}",
number = "CORR 98--31",
year = "1998",
institution = "Department of Combinatorics and Optimization,
University of Waterloo",
address = "Waterloo, Ontario~N2L\,3G1, Canada"
}
@techreport{ipm:Anstreicher44,
author = "K. M. Anstreicher",
title = "The volumetric barrier for convex quadratic constraints",
type = "{Technical Report}",
number = "",
year = "1998",
month = "October",
institution = "Department of Mathematics, University of Iowa",
address = "Iowa City, IA~52242, USA"
}
@book{ipm:Arbel1,
author = "A. Arbel",
title = "{Exploring Interior Point Linear Programming\,: Algorithms
and Software}",
year = "1993",
series = "Foundations of Computing Series",
publisher = "MIT Press",
address = "Cambridge, MA~02142, USA"
}
@article{ipm:Arbel2,
author = "A. Arbel",
title = "An interior multiobjective linear programming algorithm",
journal = "Computers and Operations Research",
volume = "20",
number = "7",
year = "1993",
pages = "723--735"
}
@article{ipm:Arbel3,
author = "A. Arbel",
title = "Anchoring points and cones of opportunities in interior
multiobjective linear programming",
journal = "Journal of the Operational Research Society",
volume = "45",
number = "1",
year = "1994",
pages = "83--96"
}
@article{ipm:Arbel4,
author = "A. Arbel",
title = "Generating interior search directions for multiobjective linear
programming using approximate gradients and efficient anchoring points",
journal = "Optimization",
volume = "28",
year = "1993",
pages = "149--164"
}
@article{ipm:Arbel5,
author = "A. Arbel",
title = "An interior multiobjective primal--dual linear programming
algorithm using approximated gradients and sequential generation of anchor
points",
journal = "Optimization",
volume = "30",
year = "1994",
pages = "137--150"
}
@article{ipm:Arbel6,
author = "A. Arbel",
title = "Using efficient anchoring points for generating search directions
in interior multi--objective linear programming",
journal = "Journal of the Operational Research Society",
volume = "45",
year = "1994",
pages = "330--334"
}
@article{ipm:Arbel7,
author = "A. Arbel",
title = "Using sequential generation of anchoring points in an interior
multi--objective primal--dual linear programming algorithm",
journal = "Archives of Control Sciences",
volume = "2",
year = "1993",
pages = "5--21"
}
@article{ipm:Arbel8,
author = "A. Arbel",
title = "A multiobjective interior primal--dual linear programming
algorithm",
journal = "Computers and Operations Research",
volume = "21",
year = "1994",
pages = "433--445"
}
@incollection{ipm:Arbel9,
author = "A. Arbel",
title = "Interior--point methods for multiobjective linear programming
problems",
booktitle = "Multiple Criteria Decision Making, Proceedings of the 10th
International Conference ''Expand and Enrich the Domain of Thinking and
Application'', held at Taipei, Taiwan, July 1992",
editor = "G. H. Tzeng et al.",
year = "1994",
pages = "27--36",
publisher = "Springer Verlag",
address = "Berlin, Germany"
}
@incollection{ipm:Arbel10,
author = "A. Arbel and S. S. Oren",
title = "A modification of {Karmarkar's} algorithm for multiple objective
linear programming",
booktitle = "Multiple Criteria Decision Making, Proceedings of the 10th
International Conference ''Expand and Enrich the Domain of Thinking and
Application'', held at Taipei, Taiwan, July 1992",
editor = "G. H. Tzeng",
year = "1994",
pages = "37--46",
publisher = "Springer Verlag",
address = "Berlin, Germany"
}
@article{ipm:Arbel11,
author = "A. Arbel",
title = "A weighted--gradient approach to multi--objective linear
programming problems using the analytical hierarchy process",
journal = "Mathematical Computations and Modelling",
volume = "17",
number = "4--5",
year = "1993",
pages = "27--39"
}
@article{ipm:Arbel12,
author = "A. Arbel",
title = "Large--scale optimization methods applied to the cutting
stock problem of irregular shapes",
journal = "International Journal of Production Research",
volume = "31",
year = "1993",
pages = "483--500"
}
@article{ipm:Arbel13,
author = "A. Arbel",
title = "An interior multiple objective primal--dual linear programming
algorithm using efficient anchoring points",
journal = "Journal of the Operational Research Society",
volume = "46",
year = "1995",
pages = "1121--1132"
}
@article{ipm:Arbel14,
author = "A. Arbel and S. S. Oren",
title = "Using approximate gradients in developing an interactive interior
primal--dual multiobjective linear programming algorithm",
journal = "European Journal of the Operational Research",
volume = "89",
year = "1996",
pages = "202--211"
}
@article{ipm:Arbel15,
author = "A. Arbel and S. S. Oren",
title = "Generating interior search directions for multiobjective linear
programming",
journal = "Journal of Multi--Criteria Decisions and Analysis",
volume = "2",
year = "1993",
pages = "73--86"
}
@article{ipm:Arbel16,
author = "A. Arbel and P. Korhonen",
title = "Using aspiration levels in an interactive interior multiobjective
linear programming algorithm",
journal = "European Journal of the Operational Research",
volume = "89",
year = "1996",
pages = "193--201"
}
@article{ipm:Arbel17,
author = "A. Arbel",
title = "An interior multiobjective primal--dual linear programming
algorithm based on approximated gradients and efficient anchoring points",
journal = "Computers and Operations Research",
volume = "24",
year = "1997",
pages = "353--365"
}
@article{ipm:Arbel18,
author = "A. Arbel and P. Korhonen",
title = "Using aspiration levels in an interior primal--dual multiobjective
linear programming algorithm",
journal = "Journal of Multi--Criteria Decisions and Analysis",
volume = "5",
year = "1996",
pages = "61--71"
}
@incollection{ipm:Arbel19,
author = "A. Arbel and P.Korhonen",
title = "An interior multiobjective linear programming algorithm using
aspirations",
booktitle = "Multiple Criteria Decision Making, Proceedings of the
Conference held at Hagen, Germany, 1995",
editor = "G. Fandel and T. Gal",
year = "1997",
pages = "245--254",
series = "Lecture Notes in Economics and Mathematical Systems",
volume = "448",
publisher = "Springer Verlag",
address = "Berlin, Germany"
}
@phdthesis{ipm:ArgaezRamos1,
author = "M. {Arg{\'a}ez Ramos}",
title = "Exact and inexact {Newton} linesearch interior--point algorithms
for nonlinear programming problems",
year = "1997",
school = "Department of Computational and Applied Mathematics, Rice
University",
address = "Houston, TX~77251, USA",
note = "Available as\,: Technical Report TR97--13"
}
@article{ipm:Armacost1,
author = "A. Armacost and S. Mehrotra",
title = "A computational comparison of the network simplex method with the
dual affine scaling method",
journal = "Journal of the Operational Research Society of India (Opsearch)",
volume = "28",
number = "1",
year = "1991",
pages = "18--35"
}
@techreport{ipm:Armand1,
author = "P. Armand and J. C. Gilbert and S. Jan--J{\'e}gou",
title = "A feasible {BFGS} interior point algorithm for solving strongly
convex minimization problems",
type = "{Research Report}",
number = "3500",
year = "1998",
month = "October",
institution = "Institute National de Recherche en Informatique et
Automatique (INRIA)",
address = "F--78153~Roquencourt, France"
}
@techreport{ipm:Aronson1,
author = "J. Aronson and R. Barr and R. Helgason and J. Kennington and
A. Loh and H. Zaki",
title = "The projective transformation algorithm by {Karmarkar}\,: {A}
computational experiment with assignment problems",
type = "{Technical Report}",
number = "85--OR--3",
year = "1985",
month = "August",
institution = "Department of Operations Research, Southern Methodist
University",
address = "Dallas, TX~75275, USA"
}
@techreport{ipm:Aronson2,
author = "J. Aronson and R. Barr and R. Helgason and J. Kennington and
A. Loh and H. Zaki",
title = "A specialization of {Karmarkar's} algorithm to solve network
problems",
type = "{Technical Report}",
year = "1985",
institution = "Department of Operations Research, Southern Methodist
University",
address = "Dallas, TX~75275, USA"
}
@techreport{ipm:Asic1,
author = "M. D. A\u{s}i{\'c} and V. V. Kova\u{c}evi{\'c}--Vuj\u{c}i{\'c}
and M. D. Radosavljevi{\'c}--Nikoli{\'c}",
title = "Behavior of {Karmarkar's} method on degenerate problems",
type = "{Technical Report}",
year = "1988",
institution = "Department of Mathematics, Michigan State University",
address = "East Lansing, MI~48824, USA"
}
@article{ipm:Asic2,
author = "M. D. A\u{s}i{\'c} and V. V. Kova\u{c}evi{\'c}--Vuj\u{c}i{\'c}
and M. D. Radosavljevi{\'c}--Nikoli{\'c}",
title = "Asymptotic behavior of {Karmarkar's} method for linear programming",
journal = "Mathematical Programming",
volume = "46",
year = "1990",
pages = "173--190"
}
@techreport{ipm:Asic3,
author = "M. D. A\u{s}i{\'c} and V. V. Kova\u{c}evi{\'c}--Vuj\u{c}i{\'c}
and M. D. Radosavljevi{\'c}--Nikoli{\'c}",
title = "Asymptotic behavior and numerical stability of {Karmarkar's}
method for linear programming",
type = "{Technical Report}",
year = "1986",
institution = "University of Belgrade",
address = "Belgrade, Yugoslavia"
}
@article{ipm:Asic4,
author = "M. D. A\u{s}i{\'c} and V. V. Kova\u{c}evi{\'c}--Vuj\u{c}i{\'c}",
title = "An interior semi--infinite programming method",
journal = "Journal of Optimization Theory and Applications",
volume = "59",
year = "1988",
pages = "369--390"
}
@incollection{ipm:Asic5,
author = "M. D. A\u{s}i{\'c} and V. V. Kova\u{c}evi{\'c}--Vuj\u{c}i{\'c}
and M. D. Radosavljevi{\'c}--Nikoli{\'c}",
title = "A note on limiting behavior of the projective and the affine
rescaling algorithms",
booktitle = "Mathematical Developments Arising from Linear Programming\,:
Proceedings of a Joint Summer Research Conference held at Bowdoin College,
Brunswick, Maine, USA, June/July 1988",
editor = "J. C. Lagarias and M. J. Todd",
year = "1990",
pages = "151--157",
series = "Contemporary Mathematics",
volume = "114",
publisher = "American Mathematical Society",
address = "Providence, Rhode Island, USA"
}
@article{ipm:Asic6,
author = "M. D. A\u{s}i{\'c} and V. V. Kova\u{c}evi{\'c}--Vuj\u{c}i{\'c}
and M. D. Radosavljevi{\'c}--Nikoli{\'c}",
title = "Karmarkar algoritam\,: {Analiza} numericke stabilnosti i neke
modifikacije",
journal = "Proceedings of the 12th Yugoslav Symposium on Operations
Research (Herceg--Novi, Yugoslavia, October 1985)",
year = "1985",
pages = "33--41",
note = "(In Yugoslav)"
}
@article{ipm:Asic7,
author = "M. D. A\u{s}i{\'c} and V. V. Kova\u{c}evi{\'c}--Vuj\u{c}i{\'c}
and M. D. Radosavljevi{\'c}--Nikoli{\'c}",
title = "Asimptotsko ponasanje {Karmarkarove} metode",
journal = "Proceedings of the 13th Yugoslav Symposium on Operations
Research (Herceg--Novi, Yugoslavia, October 1986)",
year = "1986",
pages = "81--88",
note = "(In Yugoslav)"
}
@techreport{ipm:Asic8,
author = "M. D. A\u{s}i{\'c} and V. V. Kova\u{c}evi{\'c}--Vuj\u{c}i{\'c}",
title = "Ill--conditionedness and interior--point methods",
type = "{Technical Report}",
year = "1998",
month = "February",
institution = "Laboratory for Operations Research, Faculty of
Organizational Sciences, University of Belgrade",
address = "Jove Ilica~154, YU--11040~Belgrade, Yugoslavia"
}
@article{ipm:Astfalk1,
author = "G. Astfalk and I. J. Lustig and R. E. Marsten and D. Shanno",
title = "The interior--point method for linear programming",
journal = "IEEE Software",
volume = "9",
number = "4",
year = "1992",
pages = "61--68"
}
@misc{ipm:At1,
key = "AT and T Bell Laboratories",
title = "{The {AT~\&~T KORBX} Linear Programming System, AT~\&~T Bell
Laboratories, Holmdel, NJ~07733, USA}",
year = "1988",
address = "Holmdel, NJ~07733, USA",
note = "Introduced at the ORSA/TIMS Joint National Meeting in Denver, CO,
USA, October 1988"
}
@article{ipm:Atkinson1,
author = "D. S. Atkinson and P. M. Vaidya",
title = "A scaling technique for finding the weighted analytic center of a
polytope",
journal = "Mathematical Programming",
volume = "57",
year = "1992",
pages = "163--192"
}
@techreport{ipm:Atkinson2,
author = "D. S. Atkinson and P. M. Vaidya",
title = "A cutting plane algorithm that uses analytic centers",
type = "{Working Paper}",
year = "1992",
institution = "College of Commerce and Business Administration, University
of Illinois at Urbana--Champaign",
address = "Urbana, IL~61820, USA"
}
@techreport{ipm:Atkinson3,
author = "D. S. Atkinson and P. M. Vaidya",
title = "An analytic center based cutting plane algorithm for convex
programming",
type = "{Technical Report}",
year = "1992",
month = "June",
institution = "College of Commerce and Business Administration, University
of Illinois at Urbana--Champaign",
address = "Urbana, IL~61820, USA"
}
@article{ipm:Atkinson4,
author = "D. S. Atkinson and P. M. Vaidya",
title = "A cutting plane algorithm for convex programming that uses
analytic centers",
journal = "Mathematical Programming",
volume = "69",
year = "1995",
pages = "1--43"
}
@techreport{ipm:Atkinson5,
author = "D. S. Atkinson and P. M. Vaidya",
title = "Minimizing weighted self--concordant logarithmic barrier
functions by scaling",
type = "{Preprint}",
year = "1992",
institution = "Department of Mathematics, University of Illinois at
Urbana--Champaign",
address = "Urbana, IL~61820, USA"
}
@phdthesis{ipm:Atkinson6,
author = "D. S. Atkinson",
title = "Scaling and interior--point methods in optimization",
year = "1992",
school = "Coordinated Science Laboratory, College of Engineering,
University of Illinois at Urbana--Champaign",
address = "Urbana, IL~61820, USA"
}
@article{ipm:Auslender1,
author = "A. Auslender and M. Haddou",
title = "An interior--proximal method for convex linearly constrained
problems and its extension to variational inequalities",
journal = "Mathematical Programming",
volume = "71",
year = "1995",
pages = "77--100"
}
@techreport{ipm:Babrovnikova1,
author = "E. Babrovnikova and S. Vavasis",
title = "Accurate solution of weighted least squares by iterative methods",
type = "{Preprint}",
number = "ANL/MSC--P644--0297",
year = "1997",
month = "February",
institution = "Mathematics and Computer Science Division, Argonne National
Laboratory",
address = "Argonne, IL~60439, USA"
}
@mastersthesis{ipm:Bach1,
author = "R. Bach",
title = "{{\"U}ber die Effizienz eines polynomialen Verfahrens zur
L{\"o}sung von linearen Optimierungsproblemen. (About the efficiency of a
polynomial method for solving linear programming problems)}",
year = "1990",
month = "December",
school = "{Fachbereich Wirtschaftswissenschaften und Operations Research,
FernUniversit{\"a}t Hagen}",
address = "P. O. Box 940, D--5800 Hagen, Germany",
note = "(In German)"
}
@techreport{ipm:Bachem1,
author = "A. Bachem and M. Strietzel",
title = "{Eine parallele Implementierung des Karmarkar--Verfahrens (A
parallel implementation of Karmarkar's method)}",
type = "{Technical Report}",
number = "92--121",
year = "1992",
institution = "Department of Mathematics, University of Cologne",
address = "Cologne, Germany",
note = "(In German)"
}
@techreport{ipm:Bachem2,
author = "A. Bachem and M. Strietzel",
title = "{Einbettung der parallelen Grundsoftware CARO in die
primale--duale Barrierfunktionsmethode (Imbedding of the parallel basic
software CARO into the primal--dual barrier function method)}",
type = "{Technical Report}",
number = "93--129",
year = "1993",
institution = "Department of Mathematics, University of Cologne",
address = "Cologne, Germany",
note = "(In German)"
}
@techreport{ipm:Bagchi1,
author = "A. Bagchi and B. Kalantari",
title = "A method for computing approximate solution of the trust region
problem with application to projective methods for quadratic programming",
type = "{Working Paper}",
year = "1988",
institution = "Department of Computer Science, Rutgers University",
address = "New Brunswick, NJ~08903, USA"
}
@techreport{ipm:Bahn1,
author = "O. Bahn and J.--L. Goffin and J.--Ph. Vial and O. Du~Merle",
title = "Implementation and behavior of an interior point cutting plane
algorithm for convex programming\,: {An} application to geometric
programming",
type = "{Working Paper}",
year = "1991",
institution = "University of Geneva",
address = "Geneva, Switzerland",
note = "See also Bahn et al.\,\cite{ipm:Bahn3}"
}
@article{ipm:Bahn2,
author = "O. Bahn and O. Du~Merle and J.--L. Goffin and J.--Ph. Vial",
title = "A cutting plane method from analytic centers for stochastic
programming",
journal = "Mathematical Programming",
volume = "69",
year = "1995",
pages = "45--73"
}
@article{ipm:Bahn3,
author = "O. Bahn and J.--L. Goffin and J.--Ph. Vial and O. Du~Merle",
title = "Experimental behavior of an interior point cutting plane algorithm
for convex programming\,:\,{An} application to geometric programming",
journal = "Discrete Applied Mathematics",
volume = "49",
year = "1994",
pages = "3--23",
note = "See also Bahn et al.\,\cite{ipm:Bahn1}"
}
@techreport{ipm:Bai1,
author = "E. Bai and Y. Ye and R. Tempo",
title = "Bounded error parameter estimation\,: {A} sequential analytic
center approach",
type = "{Technical Report}",
year = "1997",
institution = "Department of Management Science, University of Iowa",
address = "Iowa City, IA~52242, USA"
}
@article{ipm:Balakrishnan1,
author = "V. Balakrishnan and E. Feron and S. Boyd and L. {El Ghaoui}",
title = "Computing bounds for the structured singular value via interior
point algorithm",
journal = "Proceedings of the American Control Conference (Chicago, IL,
USA, June 1992)",
volume = "3",
year = "1994",
pages = "2195--2196"
}
@techreport{ipm:Ballintijn1,
author = "C. Ballintijn",
title = "Implementation aspects and performance results of the dual--affine
algorithm",
type = "{Talk held at the 14th Conference on the Mathematics of Operations
Research in Dalfsen, The Netherlands}",
year = "1990",
month = "January",
institution = "Koninklijke Shell Laboratorium Amsterdam (KSLA)",
address = "Amsterdam, The Netherlands",
note = "See Marsten et al.\,\cite{ipm:Marsten5}"
}
@techreport{ipm:Barle1,
author = "J. Barle and J. Grad",
title = "The implementation of {Karmarkar's} algorithm using electronic
spreadsheet",
type = "{Talk held at the DGOR--Jahrestagung in Berlin, Germany}",
year = "1988",
month = "September",
institution = "Ekonomska Fakulteta Borisa Kidrica, University of Ljubljana",
address = "YU--61109~Ljubljana, Yugoslavia"
}
@article{ipm:Barle2,
author = "J. Barle and J. Grad",
title = "The implementations of interior point methods for solving {LP on
PC}",
journal = "Operations Research Proceedings 1992",
year = "1992",
pages = "26--33"
}
@article{ipm:Barnes1,
author = "E. R. Barnes",
title = "A variation on {Karmarkar's} algorithm for solving linear
programming problems",
journal = "Mathematical Programming",
volume = "36",
year = "1986",
pages = "174--182"
}
@techreport{ipm:Barnes2,
author = "E. R. Barnes",
title = "A sparse matrix version of {Karmarkar's} algorithm",
type = "{Technical Report}",
year = "1986",
institution = "Department of Mathematical Sciences, IBM~T.~J.~Watson
Research Center",
address = "P.\,O.\,Box 218, Yorktown Heights, NY~10598, USA"
}
@techreport{ipm:Barnes3,
author = "E. R. Barnes",
title = "A polynomial--time version of the affine scaling algorithm",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in St.~Louis,
USA}",
year = "1987",
month = "October",
institution = "Department of Mathematical Sciences, IBM~T.~J.~Watson
Research Center",
address = "P.~O.~Box~218, Yorktown Heights, NY~10598, USA"
}
@techreport{ipm:Barnes4,
author = "E. R. Barnes",
title = "The role of centering in interior point methods",
type = "{Technical Report}",
year = "1988",
institution = "Department of Mathematical Sciences, IBM~T.~J.~Watson
Research Center",
address = "P.~O.~Box~218, Yorktown Heights, NY~10598, USA"
}
@techreport{ipm:Barnes5,
author = "E. R. Barnes",
title = "Phase--{I} procedures for interior point problems",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Washington,
DC, USA}",
year = "1988",
month = "April",
institution = "Department of Mathematical Sciences, IBM~T.~J.~Watson
Research Center",
address = "P.~O.~Box~218, Yorktown Heights, NY~10598, USA"
}
@techreport{ipm:Barnes6,
author = "E. R. Barnes",
title = "Numerical techniques for interior point methods",
type = "{Technical Report}",
year = "1989",
institution = "School of Industrial and Systems Engineering, Georgia
Institute of Technology",
address = "Atlanta, GA~30322--0205, USA"
}
@techreport{ipm:Barnes7,
author = "E. R. Barnes",
title = "Computing centers and minimum covering ellipsoids for polytopes",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in New York, NY,
USA}",
year = "1989",
month = "October",
institution = "School of Industrial and Systems Engineering, Georgia
Institute of Technology",
address = "Atlanta, GA~30322--0205, USA"
}
@techreport{ipm:Barnes8,
author = "E. R. Barnes and D. J. Jensen",
title = "Affine--scaling algorithms for linear programming with centering
steps",
type = "{Technical Report}",
year = "1987",
institution = "Department of Mathematical Sciences, IBM~T.~J.~Watson
Research Center",
address = "P.~O.~Box~218, Yorktown Heights, NY~10598, USA"
}
@techreport{ipm:Barnes9,
author = "E. R. Barnes and S. Chopra and D. J. Jensen",
title = "Polynomial--time convergence of the affine scaling algorithm with
centering",
type = "{Talk held at the Conference on Progress in Mathematical
Programming, Asimolar Conference Center, Pacific Grove, CA, USA}",
year = "1987",
month = "March",
institution = "Department of Mathematical Sciences, IBM~T.~J.~Watson
Research Center",
address = "P.~O.~Box~218, Yorktown Heights, NY~10598, USA"
}
@techreport{ipm:Barnes10,
author = "E. R. Barnes and S. Chopra and D. J. Jensen",
title = "The affine scaling method with centering",
type = "{Technical Report}",
year = "1988",
institution = "Department of Mathematical Sciences, IBM~T.~J.~Watson
Research Center",
address = "P.~O.~Box~218, Yorktown Heights, NY~10598, USA"
}
@techreport{ipm:Barnes11,
author = "E. R. Barnes and S. Chopra and D. J. Jensen",
title = "A polynomial--time version of the affine--scaling algorithm",
type = "{Working Paper Series}",
number = "88--101",
year = "1988",
institution = "Graduate School of Business and Administration, New York
University",
address = "New York, NY~10006, USA"
}
@techreport{ipm:Barnes12,
author = "E. R. Barnes and A. Moretti",
title = "On the convergence of the affine scaling algorithm",
type = "{Technical Report}",
year = "1991",
institution = "School of Industrial and Systems Engineering, Georgia
Institute of Technology",
address = "Atlanta, GA~30332--0205, USA"
}
@incollection{ipm:Barnes13,
author = "E. R. Barnes",
title = "Some results concerning convergence of the affine scaling
algorithm",
booktitle = "Mathematical Developments Arising from Linear Programming\,:
Proceedings of a Joint Summer Research Conference held at Bowdoin College,
Brunswick, Maine, USA, June/July 1988",
editor = "J. C. Lagarias and M. J. Todd",
year = "1990",
pages = "131--139",
series = "Contemporary Mathematics",
volume = "114",
publisher = "American Mathematical Society",
address = "Providence, Rhode Island, USA"
}
@article{ipm:Barnes14,
author = "E. R. Barnes",
title = "Minimum containing ellipsoids and regular polyhedra",
journal = "Mathematical Programming Society Committee on Algorithms (COAL)
Newsletter",
volume = "19",
year = "1991",
month = "August",
pages = "2--6"
}
@techreport{ipm:Barutt1,
author = "J. F. Barutt and J. A. Ludvijsen and E. M. Olsen",
title = "Using the interior point method for solving large scale crew
scheduling problems",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Las Vegas, NV,
USA}",
year = "1990",
month = "May",
institution = "Northwest Airlines F--7140, MSP International Airport",
address = "St.~Paul, MN~55111, USA"
}
@techreport{ipm:Batterman1,
author = "A. Batterman and M. Heinkenschloss",
title = "Preconditioners for {Karush--Kuhn--Tucker} matrices arising in the
optimal control of distributed systems",
type = "{Technical Report}",
number = "TR~96--34",
year = "1996",
institution = "Department of Computational and Applied Mathematics, Rice
University",
address = "Houston, TX~77251, USA"
}
@article{ipm:Bayer1,
author = "D. A. Bayer and J. C. Lagarias",
title = "Karmarkar's linear programming algorithm and {N}ewton's method",
journal = "Mathematical Programming",
volume = "50",
year = "1991",
pages = "291--330"
}
@article{ipm:Bayer2,
author = "D. A. Bayer and J. C. Lagarias",
title = "The nonlinear geometry of linear programming, {Part\,I\,: Affine}
and projective scaling trajectories",
journal = "Transactions of the American Mathematical Society",
volume = "314",
number = "2",
year = "1989",
pages = "499--526"
}
@article{ipm:Bayer3,
author = "D. A. Bayer and J. C. Lagarias",
title = "The nonlinear geometry of linear programming, {Part\,II\,:
Legendre} transform coordinates",
journal = "Transactions of the American Mathematical Society",
volume = "314",
number = "2",
year = "1989",
pages = "527--581"
}
@misc{ipm:Bayer4,
author = "D. A. Bayer and N. K. Karmarkar and J. C. Lagarias",
title = "Methods and apparatus for optimization system operational
parameters",
howpublished = "U.~S.~Patent No.~4.744.027",
year = "1988",
note = "AT~\&~T Bell Laboratories, Murray Hill, NJ~07974, USA"
}
@inbook{ipm:Bazaraa1,
author = "M. S. Bazaraa and J. J. Jarvis and H. F. Sherali",
title = "Linear Programming and Network Flows",
chapter = "8.4\,: {Karmarkar's} projective algorithm, pages 380--394,
chapter 8.5~: {A}nalysis of {Karmarkar's} algorithm",
year = "1990",
pages = "394--418",
publisher = "John Wiley \& Sons",
address = "New York",
edition = "second"
}
@book{ipm:Beasley1,
author = "J. E. Beasley",
title = "{Advances in Linear and Integer Programming}",
year = "1996",
series = "Oxford Lecture Series in Mathematics and its Applications",
volume = "4",
publisher = "Oxford Science Publications, Oxford University Press",
address = "Oxford, Great Britain"
}
@article{ipm:Beck1,
author = "C. Beck",
title = "Computational issues in solving {LMIs} (linear matrix
inequalities)",
journal = "Proceedings of the 30th IEEE Conference on Decision and
Control (Brighton, United Kingdom, December 1991)",
year = "1991",
volume = "2",
pages = "1259--1260"
}
@inbook{ipm:Beisel1,
author = "E. P. Beisel and M. Mendel",
title = "{Optimierungsmethoden des Operations Research, Band\,1
(Optimization Methods of Operations Research, Vol.\,1)}",
chapter = "11\,: {Die Projektionsmethode von Karmarkar~(The projection
method of Karmarkar)}",
pages = "169--187",
publisher = "Vieweg Verlag",
address = "Braunschweig, Germany",
year = "1987",
note = "(In German)"
}
@techreport{ipm:Beisel2,
author = "E. P. Beisel",
title = "{Affin--transformierende global konvergente
Innere--Punkte--Verfahren der linearen Optimierung mit langen
Schrittweiten (Affine--scaling globally convergent long step interior--point
methods for linear programming)}",
type = "{Habilitationthesis}",
year = "1996",
institution = "Fachbereich Mathematik, Bergische Universit{\"a}t--
Gesamthochschule Wuppertal",
address = "Gauss--str. 20, D--42097~Wuppertal, Germany",
note = "(In German)"
}
@article{ipm:Belegundu1,
author = "A. D. Belegundu and L. Berke and S. N. Patnaik",
title = "An optimization algorithm based on the method of feasible
directions",
journal = "Structural Optimization",
volume = "9",
year = "1995",
pages = "83--88"
}
@article{ipm:Bellavia1,
author = "S. Bellavia",
title = "Inexact interior--point method",
journal = "Journal of Optimization Theory and Applications",
volume = "96",
year = "1998",
pages = "109--121"
}
@techreport{ipm:Benchakroun1,
author = "A. Benchakroun and J. P. Dussault and A. Mansouri",
title = "Local convergence analysis of the method of centers",
type = "{Talk held at the Fourth SIAM Conference on Optimization in Chicago,
IL, USA}",
year = "1992",
month = "May",
institution = "Universite de Sherbrooke",
address = "Sherbrooke, Canada"
}
@article{ipm:Benchakroun2,
author = "A. Benchakroun and J. P. Dussault and A. Mansouri",
title = "Un algorithme de points interieurs pour un probleme de
programmation non--lineaire",
journal = "Information Systems and Operational Research (INFORS)",
volume = "35",
year = "1997",
pages = "239--248"
}
@techreport{ipm:BenDaya1,
author = "M. {Ben--Daya} and C. M. Shetty",
title = "Polynomial barrier function algorithm for linear programming",
type = "{Technical Report}",
number = "J~88--4",
year = "1988",
institution = "School of Industrial and Systems Engineering, Georgia
Institute of Technology",
address = "Atlanta, GA~30322--0205, USA"
}
@article{ipm:BenDaya2,
author = "M. {Ben--Daya} and C. M. Shetty",
title = "Polynomial barrier function algorithm for convex quadratic
programming",
journal = "Arabian Journal for Science and Engineering",
volume = "15",
number = "4",
year = "1990",
pages = "657--670"
}
@article{ipm:BenDaya3,
author = "M. {Ben--Daya}",
title = "Line search techniques for the logarithmic barrier function in
quadratic programming",
journal = "Journal of the Operational Research Society",
volume = "46",
year = "1995",
pages = "322--328"
}
@techreport{ipm:Benjamin1,
author = "J. Benjamin and M. Dialsy",
title = "Some applications of the primal--dual interior point algorithm
using {GAUSS} programming language",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Philadelphia,
PA, USA}",
year = "1990",
month = "October",
institution = "Economics Department, North Carolina A\,\&\,T State
University",
address = "Greensboro, NC~27411, USA"
}
@techreport{ipm:Benson1,
author = "S. Benson and Y. Ye and X. Zhang",
title = "Solving large--scale sparse semidefinite programs for
combinatorial optimization",
type = "{Working Paper}",
number = "",
year = "1997",
month = "August",
institution = "Department of Management Science, University of Iowa",
address = "Iowa City, IA~52242, USA"
}
@techreport{ipm:Benson2,
author = "S. Benson and Y. Ye and X. Zhang",
title = "Mixed linear and semidefinite programming for combinatorial
and quadratic optimization",
type = "{Working Paper}",
number = "",
year = "1998",
month = "February",
institution = "Applied Mathematics and Computer SCiences, University
of Iowa",
address = "Iowa City, IA~52242, USA"
}
@techreport{ipm:BenTal1,
author = "A. {Ben--Tal} and A. S. Nemirovsky",
title = "Interior point polynomial time method for truss topology design",
type = "{Technical Report}",
number = "3/92",
year = "1992",
month = "June",
institution = "Optimization Laboratory, Faculty of Industrial Engineering
and Management at Technion, Technion City",
address = "Haifa~32000, Israel"
}
@article{ipm:BenTal2,
author = "A. {Ben--Tal} and A. S. Nemirovsky",
title = "Potential reduction polynomial time method for truss topology
design",
journal = "SIAM Journal on Optimization",
volume = "4",
year = "1994",
pages = "596--612"
}
@incollection{ipm:BenTal3,
author = "A. {Ben--Tal} and A. S. Nemirovsky",
title = "An interior point algorithm for truss topology design",
booktitle = "Topology Design of Structures",
pages = "55--69",
editor = "M. P. Bendsoe and C. A. Soares",
publisher = "Kluwer Academic Publishers",
address = "Dordrecht, The Netherlands",
year = "1993"
}
@techreport{ipm:BenTal4,
author = "A. {Ben--Tal} and M. Zibulevsky and I. Yusefovich",
title = "Penalty/barriers multipliers methods for minimax and constrained
smooth convex programs",
type = "{Research Report}",
number = "9/92",
year = "1992",
institution = "Optimization Laboratory, Faculty of Industrial Engineering
and Management, Technion, Israel Institute of Technology",
address = "Haifa, Israel"
}
@article{ipm:BenTal5,
author = "A. {Ben--Tal} and G. Roth",
title = "A truncated log barrier algorithm for large--scale convex
programming and minimax problems\,: {Implementation} and computational
results",
journal = "Optimization Methods and Software",
volume = "6",
year = "1996",
pages = "283--312"
}
@techreport{ipm:BenTal6,
author = "A. {Ben--Tal} and M. Zibulevsky",
title = "Penalty/barrier multipliers methods\,: {A} new class of augmented
{Lagrangian} algorithms for large--scale convex programming problems",
type = "{Research Report}",
number = "4/93",
year = "1993",
institution = "Optimization Laboratory, Faculty of Industrial Engineering
and Management, Technion, Israel Institute of Technology",
address = "Haifa~32000, Israel"
}
@techreport{ipm:BenTal7,
author = "A. {Ben--Tal} and A. S. Nemirovsky",
title = "Structural design via semidefinite programming",
type = "{Working Paper}",
number = "",
year = "1997",
month = "August",
institution = "Optimization Laboratory, Faculty of Industrial Engineering
and Management Technion -- Israel Institute of Technology, Technion
City",
address = "Haifa~32000, Israel"
}
@techreport{ipm:BenTal8,
author = "A. {Ben--Tal} and A. S. Nemirovsky",
title = "On polyhedral approximations of the second--order cone",
type = "{Research Report}",
number = "3/98",
year = "1998",
month = "",
institution = "Optimization Laboratory, Faculty of Industrial Engineering
and Management Technion -- Israel Institute of Technology, Technion
City",
address = "Haifa~32000, Israel"
}
@techreport{ipm:BenTal9,
author = "A. {Ben--Tal} and A. S. Nemirovsky",
title = "On the quality of {SDP} approximations of uncertain {SDP}
programs",
type = "{Research Report}",
number = "4/98",
year = "1998",
month = "",
institution = "Optimization Laboratory, Faculty of Industrial Engineering
and Management Technion -- Israel Institute of Technology, Technion
City",
address = "Haifa~32000, Israel"
}
@techreport{ipm:Bentham1,
author = "{H. van} Bentham and A. Hipolito and B. Jansen and C. Roos and
T. Terlaky and J. Warners",
title = "Radio link frequency assignment project\,: {Potential} reduction
methods",
type = "{Technical Annex}",
number = "T--2.3.2",
year = "1995",
institution = "Faculty of Technical Mathematics and Informatics, Delft
University of Technology",
address = "Delft, The Netherlands"
}
@article{ipm:Berger1,
author = "A. J. Berger and J. M. Mulvey and A. Ruszczynski",
title = "An extension of the {DQA} algorithm to convex stochastic programs",
journal = "SIAM Journal on Optimization",
volume = "4",
year = "1994",
pages = "735--753"
}
@article{ipm:Berke1,
author = "L. Berke and N. Khot and R. Polyak and R. Schneur",
title = "Application of the {Newton} modified barrier method in
structural optimizations",
journal = "Proceedings of the 33rd American Institute of Aeronautics
and Astronautics (AIAA) Conference",
year = "1992"
}
@techreport{ipm:Berkelaar1,
author = "A. B. Berkelaar and B. Jansen and C. Roos and T. Terlaky",
title = "Sensitivity analysis for degenerate quadratic programming",
type = "{Technical Report}",
number = "",
year = "1996",
month = "February",
institution = "Faculty of Technical Mathematics and Informatics, TU Delft",
address = "NL--2600~GA~Delft, The Netherlands"
}
@techreport{ipm:Berkelaar2,
author = "A. B. Berkelaar and B. Jansen and C. Roos and T. Terlaky",
title = "Optimal basis and optimal tripartition identification algorithms
for quadratic programming and linear complementarity problems -- from an
interior solution to a basis solution and vice versa",
type = "{Technical Report}",
number = "",
year = "1996",
month = "March",
institution = "Faculty of Technical Mathematics and Informatics, TU Delft",
address = "NL--2600~GA~Delft, The Netherlands"
}
@incollection{ipm:Berkelaar3,
author = "A. Berkelaar and C. Roos and T. Terlaky",
title = "The optimal set and optimal partition approach for linear and
quadratic programming",
booktitle = "Advances in Sensitivity Analysis and Parametric Programming",
editor = "T. Gal and H. J. Greenberg",
year = "1997",
pages = "6.1--6.44",
series = "International Series in Operations Research and Management
Science",
volume = "6",
publisher = "Kluwer Academic Press",
address = "Dordrecht, The Netherlands"
}
@article{ipm:Bertsekas1,
author = "D. P. Bertsekas",
title = "Projected {N}ewton methods for optimization problems with simple
constraints",
journal = "SIAM Journal on Control and Optimization",
volume = "20",
year = "1982",
pages = "221--246"
}
@article{ipm:Bertsimas1,
author = "D. Bertsimas and X. Luo",
title = "On the worst case complexity of potential reduction algorithms for
linear programming",
journal = "Mathematical Programming",
volume = "77",
year = "1997",
pages = "321--333"
}
@book{ipm:Bertsimas2,
author = "D. Bertsimas and J. Tsitsiklis",
title = "Introduction to Linear Optimization",
year = "1997",
publisher = "Athena Scientific",
address = ""
}
@article{ipm:Bertsimas3,
author = "D. Bertsimas and J. B. Orlin",
title = "A technique for speeding up the solution of the {Lagrangian}
dual",
journal = "Mathematical Programming",
volume = "63",
year = "1994",
pages = "23--45"
}
@article{ipm:Betke1,
author = "U. Betke and P. Gritzmann",
title = "Projection algorithms for linear programming",
journal = "European Journal of Operational Research",
volume = "60",
year = "1992",
pages = "287--295"
}
@techreport{ipm:Biegler1,
author = "L. Biegler and J. Nocedal and C. Schmitt and D. Ternet",
title = "Numerical experience with a reduced {Hessian} method for
large scale optimization",
type = "{Technical Report}",
number = "OTC\,97/06",
year = "1997",
month = "July",
institution = "Optimization Technology Center, Northwestern University",
address = "Evanston, IL~60208--3119, USA"
}
@article{ipm:Billups1,
author = "S. C. Billups and S. C. Ferris",
title = "Convergence of infeasible interior--point algorithms from arbitrary
starting points",
journal = "SIAM Journal on Optimization",
volume = "6",
year = "1996",
pages = "316--325"
}
@techreport{ipm:Birge1,
author = "J. R. Birge and L. Qi",
title = "Solving stochastic linear programs via a variant of {Karmarkar's}
algorithm",
type = "{Technical Report}",
number = "85--12",
year = "1985",
institution = "Department of Industrial and Operations Engineering,
University of Michigan",
address = "Ann Arbor, MI~48103, USA"
}
@article{ipm:Birge2,
author = "J. R. Birge and L. Qi",
title = "Computing block--angular {Karmarkar} projections with applications
to stochastic programming",
journal = "Management Science",
volume = "34",
year = "1988",
pages = "1472--1479"}
@techreport{ipm:Birge3,
author = "J. R. Birge and R. M. Freund and R. J. Vanderbei",
title = "Prior reduced fill--in in solving equations in interior point
algorithm",
type = "{Working Paper}",
number = "OR~3186--90--MS",
year = "1990",
institution = "Sloan School of Management, Massachusetts Institute of
Technology",
address = "Cambridge, MA~02139, USA",
note = "See also Birge, Freund and Vanderbei \cite{ipm:Birge7}"
}
@techreport{ipm:Birge4,
author = "J. R. Birge and C. Rosa",
title = "A simplified proof of the general convergence of affine scaling",
type = "{Technical Report}",
number = "91--7",
year = "1991",
institution = "Department of Industrial and Operations Engineering,
University of Michigan",
address = "Ann Arbor, MI~48104, USA"
}
@techreport{ipm:Birge5,
author = "J. R. Birge and D. Holmes",
title = "Using interior point methods for stochastic linear programming",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Anaheim, CA,
USA}",
year = "1991",
month = "November",
institution = "Department of Industrial and Operations Engineering,
University of Michigan",
address = "Ann Arbor, MI~48104, USA",
note = "See Birge and Holmes \cite{ipm:Birge6}"
}
@article{ipm:Birge6,
author = "J. R. Birge and D. F. Holmes",
title = "Efficient solution of two stage stochastic linear programs
using interior point methods",
journal = "Computational Optimization and Applications",
volume = "1",
year = "1992",
pages = "245--276"
}
@article{ipm:Birge7,
author = "J. R. Birge and R. M. Freund and R. J. Vanderbei",
title = "Prior reduced fill--in in solving equations in interior point
algorithms",
journal = "Operations Research Letters",
volume = "11",
year = "1992",
pages = "195--198"
}
@article{ipm:Birge8,
author = "J. R. Birge and H. Tang",
title = "Computing {Karmarkar's} projections quickly by using matrix
factorization",
journal = "Applied Mathematics, A Journal of the Chinese Universities
(Series B)",
volume = "11",
year = "1996",
pages = "227--248"
}
@article{ipm:Bisseling1,
author = "R. H. Bisseling and T. M. Doup and {L. D. J. C.} Loyens",
title = "A parallel interior point algorithm for linear programming on a
network of transputers",
journal = "Annals of Operations Research",
volume = "43",
year = "1993",
pages = "51--86"
}
@article{ipm:Bixby1,
author = "R. E. Bixby and J. W. Gregory and I. J. Lustig and R. E. Marsten
and D. F. Shanno",
title = "Very large--scale linear programming\,: {A} case study in
combining interior point and simplex methods",
journal = "Operations Research",
volume = "40",
year = "1992",
pages = "885--897"
}
@article{ipm:Bixby2,
author = "R. E. Bixby and M. J. Saltzman",
title = "Recovering an optimal {LP} basis from an interior point solution",
journal = "Operations Research Letters",
volume = "15",
year = "1994",
pages = "169--178"
}
@article{ipm:Blair1,
author = "C. E. Blair",
title = "The iterative step in the linear programming algorithm of
{N. Karmarkar}",
journal = "Algorithmica",
volume = "1",
number = "4",
year = "1986",
pages = "537--539"
}
@techreport{ipm:Blair2,
author = "C. E. Blair",
title = "{Karmarkar's} algorithm and the simplex algorithm",
type = "{Technical Report}",
year = "1989",
institution = "College of Commerce and Business Administration, University
of Illinois at Urbana--Champaign",
address = "Urbana, IL~61820, USA"
}
@article{ipm:Blanchon1,
author = "G. Blanchon and J.--C. Dodu and A. Renaud and M. Bouhtou",
title = "Implementation of a primal--dual interior--point method applied
to the planning of reactive power compensation devices",
journal = "Proceedings of the Twelfth Power Systems Computation Conference",
volume = "2",
year = "1996",
pages = "827--836"
}
@incollection{ipm:Bloch1,
author = "A. M. Bloch",
title = "Steepest descent, linear programming, and {Hamiltonian} flows",
booktitle = "Mathematical Developments Arising from Linear Programming\,:
Proceedings of a Joint Summer Research Conference held at Bowdoin College,
Brunswick, Maine, USA, June/July 1988",
editor = "J. C. Lagarias and M. J. Todd",
year = "1990",
pages = "77--88",
series = "Contemporary Mathematics",
volume = "114",
publisher = "American Mathematical Society",
address = "Providence, Rhode Island, USA"
}
@article{ipm:Blum1,
author = "L. Blum",
title = "Towards an asymptotic analysis of {Karmarkar's} algorithm",
journal = "Information Processing Letters",
volume = "23",
year = "1986",
pages = "189--194"
}
@article{ipm:Blum2,
author = "L. Blum",
title = "A new simple homotopy algorithm for linear programming {I}",
journal = "Journal of Complexity",
volume = "4",
year = "1988",
pages = "124--136"
}
@techreport{ipm:Boggs1,
author = "P. T. Boggs and P. D. Domich and C. Witzgall",
title = "On center trajectories for linear programming",
type = "{Technical Report}",
year = "1988",
institution = "United States Department of Commerce, National Institute of
Standards and Technology, Center for Applied Mathematics",
address = "Gaithersburg, MD~20899, USA"
}
@article{ipm:Boggs2,
author = "P. T. Boggs and P. D. Domich and J. R. Donaldson and C. Witzgall",
title = "Algorithmic enhancements to the method of center for linear
programming",
journal = "ORSA Journal on Computing",
volume = "1",
year = "1989",
pages = "159--171"
}
@techreport{ipm:Boggs3,
author = "P. T. Boggs",
title = "Higher--order methods for large linear and quadratic programming
problems",
type = "{Talk held at the Second International Conference on Industrial and
Applied Mathematics (ICIAM~'91), Washington, DC, USA}",
year = "1991",
month = "July",
institution = "United States Department of Commerce, National Institute of
Standards and Technology, Center for Applied Mathematics",
address = "Gaithersburg, MD~20899, USA"
}
@article{ipm:Boggs4,
author = "P. T. Boggs",
title = "Comparing algorithms is not an easy task",
journal = "SIAM News",
volume = "19",
number = "1",
year = "1986",
pages = "7"
}
@article{ipm:Boggs5,
author = "P. T. Boggs and P. D. Domich and J. E. Rogers and C. Witzgall",
title = "An interior--point method for linear and quadratic programming
problems",
journal = "Mathematical Programming Society Committee on Algorithms (COAL)
Newsletter",
volume = "19",
year = "1991",
month = "August",
pages = "32--40"
}
@techreport{ipm:Boggs6,
author = "P. T. Boggs",
title = "Interior point methods",
type = "{Technical Report}",
year = "1995",
institution = "United States Department of Commerce, National Institute of
Standards and Technology, Center for Applied Mathematics",
address = "Gaithersburg, MD~20899, USA",
note = "To appear in {\em Encyclopedia of Operations Research}"
}
@article{ipm:Boggs7,
author = "P. T. Boggs and P. D. Domich and J. E. Rogers and C. Witzgall",
title = "An interior--point method for general large scale quadratic
programming problems",
journal = "Annals of Operations Research",
volume = "62",
year = "1996",
pages = "419--437"
}
@techreport{ipm:Bonnans1,
author = "J. F. Bonnans and M. Bouhtou",
title = "An interior point affine algorithm for convex programming based on
a potential function",
type = "{Talk held at the Fourth SIAM Conference on Optimization in Chicago,
IL, USA}",
year = "1992",
month = "May",
institution = "Institute National de Recherche en Informatique et
Automatique (INRIA)",
address = "F--78153~Roquencourt, France"
}
@article{ipm:Bonnans2,
author = "J. F. Bonnans and M. Bouhtou",
title = "The trust region affine interior point algorithm for convex
and nonconvex quadratic programming",
journal = "R.A.I.R.O. Recherche Operationnelle/Operations Research",
volume = "29",
year = "1995",
pages = "195--217"
}
@article{ipm:Bonnans3,
author = "J. F. Bonnans and C. C. Gonzaga",
title = "Convergence of interior--point algorithms for the monotone
linear complementarity problem",
journal = "Mathematics of Operations Research",
volume = "21",
year = "1996",
pages = "1--25"
}
@article{ipm:Bonnans4,
author = "J. F. Bonnans and C. Pola",
title = "A trust region interior point algorithm for linearly
constrained optimization",
journal = "SIAM Journal on Optimization",
volume = "7",
year = "1997",
pages = "717--731",
url = "http://www.siam.org/journals/siopt/7--3/25063.html"
}
@article{ipm:Bonnans5,
author = "J. F. Bonnans and F. A. Potra",
title = "On the convergence of the iteration sequence of infeasible
path--following algorithms for linear complementarity problems",
journal = "Mathematics of Operations Research",
volume = "22",
year = "1997",
pages = "378--407"
}
@techreport{ipm:Bonnans6,
author = "J. F. Bonnans and F. A. Potra",
title = "Infeasible path--following algorithms for linear complementarity
problems",
type = "{Reports on Computational Mathematics}",
number = "63",
year = "1994",
institution = "Department of Mathematics, The University of Iowa",
address = "Iowa City, IA~52242, USA",
note = "To appear in {\em Mathematics of Operations Research}. See also
Potra and Bonnans \cite{ipm:Potra12}"
}
@inbook{ipm:Bonnans7,
author = "J. F. Bonnans and J. C. Gilbert and C. Lemar{\'e}chal and
C. Sagastiz{\'a}bal",
title = "{Optimisation Num{\'e}rique\, : Aspects Th{\'e}oriques et
Pratiques}",
chapter = "{Part\,IV\,: Algorithmes de points int{\'e}rieurs pour
l'optimisation lin{\'e}aire et quadratique (Interior point algorithms for
linear and quadratic optimization)}",
year = "1997",
volume = "257",
pages = "203--310",
series = "Math{\'e}matique \& Applications",
publisher = "Springer Verlag",
address = "Paris, France",
note = "(In French)"
}
@techreport{ipm:Borchers1,
author = "B. Borchers and J. E. Mitchell",
title = "Using an interior point method in a branch and bound algorithm for
integer programming",
type = "{RPI Mathematical Report}",
number = "195",
year = "1991",
institution = "Department of Mathematical Sciences, Rensselaer Polytechnic
Institute",
address = "Troy, NY~12180--3590, USA",
note = "Revised July 1992"
}
@phdthesis{ipm:Borchers2,
author = "B. Borchers",
title = "Improved branch and bound algorithms for integer programming",
year = "1992",
month = "June",
school = "Department of Mathematical Sciences, Rensselaer Polytechnic
Institute",
address = "Troy, NY~12180--3590, USA"
}
@techreport{ipm:Borchers3,
author = "B. Borchers",
title = "{CSDP}\,: {A C} library for semidefinite programming",
type = "{Technical Report}",
number = "",
year = "1997",
institution = "Faculty of Mathematics, Institute of Mining and Technology,
New Mexico Tech",
address = "Socorro, NM, USA"
}
@article{ipm:Borchers4,
author = "B. Borchers and J. E. Mitchell",
title = "A computational comparison of branch and bound and outer
approximation algorithms for $0--1$ mixed integer nonlinear programs",
journal = "Computers and Operations Research",
volume = "24",
year = "1997",
pages = "699--701"
}
@techreport{ipm:Borchers5,
author = "B. Borchers",
title = "{SDPLIB\,1.0}\,: {A} collection of semidefinite programming
test problems",
type = "{Technical Report}",
number = "",
year = "1998",
month = "July",
institution = "Faculty of Mathematics, Institute of Mining and Technology,
New Mexico Tech",
address = "Socorro, NM, USA"
}
@article{ipm:Bosch1,
author = "R. A. Bosch and K. M. Anstreicher",
title = "A partial updating algorithm for linear programs with many more
variables than constraints",
journal = "Optimization Methods and Software",
volume = "4",
year = "1995",
pages = "243--257"
}
@article{ipm:Bosch2,
author = "R. A. Bosch and K. M. Anstreicher",
title = "On partial updating in a potential reduction linear
programming algorithm of {Kojima, Mizuno and Yoshise}",
journal = "Algorithmica",
volume = "9",
number = "1",
year = "1993",
pages = "184--197",
note = "Same as Anstreicher and Bosch \cite{ipm:Anstreicher21}"
}
@article{ipm:Bosch3,
author = "R. A. Bosch",
title = "On {Mizuno's} rank one updating algorithm for linear programming",
journal = "SIAM Journal on Optimization",
volume = "3",
year = "1993",
pages = "861--867"
}
@techreport{ipm:Bosch4,
author = "R. A. Bosch",
title = "A new proof of a partial updating theorem",
type = "{Technical Report}",
number = "",
year = "1995",
institution = "Department of Mathematics, Oberlin College",
address = "Oberlin, OH~44074, USA"
}
@techreport{ipm:Bosch5,
author = "R. A. Bosch and R. V. Torenbeek",
title = "A family of algorithms for approximating the smallest eigenvalue
of a matrix with no complex eigenvalues",
type = "{Technical Report}",
number = "",
year = "1995",
institution = "Department of Mathematics, Oberlin College",
address = "Oberlin, OH~44074, USA"
}
@phdthesis{ipm:Bouhtou1,
author = "M. Bouhtou",
title = "M{\'e}thodes de points int{\'e}rieurs pour l'optimisation des
syst{\`e}mes de grande taille ({Interior point methods for large--scale
optimization systems})",
year = "1993",
school = "Laboratoire de Analyse et Modelisation de Syst{\`e}mes pour
l'Aide a la Decision (LAMSADE), Universit{\'e} de Paris Dauphine",
address = "F--75775~Paris~Cedex~16, France",
note = "(In French)"
}
@article{ipm:Boukari1,
author = "D. Boukari and A. V. Fiacco",
title = "Survey of penalty, exact penalty and multiplier methods from 1968
to 1993",
journal = "Optimization",
volume = "30",
year = "1995",
pages = "301--334"
}
@book{ipm:Box1,
author = "M. J. Box and D. Davies and W. H. Swann",
title = "Nonlinear Optimization Technique",
year = "1969",
series = "ICI Monograph of Mathematics and Statistics",
volume = "5",
publisher = "Oliver and Boyd Ltd.",
address = "London, United Kingdom"
}
@article{ipm:Boyd1,
author = "S. Boyd and L. {El Ghaoui}",
title = "Methods of centers for minimizing generalized eigenvalues",
journal = "Linear Algebra and Its Applications",
volume = "188/189",
year = "1993",
pages = "63--111"
}
@techreport{ipm:Boyd2,
author = "S. Boyd and L. Vandenberghe and M. Grant",
title = "Efficient convex optimization for engineering design",
type = "{ISL--Report}",
year = "1994",
institution = "Department of Electrical Engineering, Information Systems
Laboratory, Stanford University",
address = "Stanford, CA~94305, USA",
note = "Submitted to {\em Automatica}"
}
@book{ipm:Boyd3,
author = "S. Boyd and L. {El Ghaoui} and E. Feron and V. Balakrishnan",
title = "Linear Matrix Inequalities in System and Control Theory",
year = "1994",
series = "SIAM Studies in Applied Mathematics",
volume = "15",
publisher = "Society of Industrial and Applied Mathematics (SIAM)",
address = "Philadelphia, PA~19101, USA"
}
@article{ipm:Boyd4,
author = "S. Boyd and L. Vandenberghe",
title = "{CRCD} program\,: {Convex} optimization for engineering analysis
and design",
journal = "Proceedings of the 1995 American Control Conference",
volume = "Part 2/6",
year = "1995",
pages = "1069--1071"
}
@techreport{ipm:Branch1,
author = "M. A. Branch and T. F. Coleman and Y. Li",
title = "A subspace, interior, and conjugate gradient method for
large--scale bound--constrained minimization problems",
type = "{Technical Report}",
number = "TR~95--1525",
year = "1995",
institution = "Department of Computer Science, Cornell University",
address = "Ithaca, NY~14853, USA"
}
@article{ipm:Bregman1,
author = "L. M. Bregman",
title = "A polynomial--time simplex type method for solving linear systems
of inequalities",
journal = "Kibernetika (Kiev)",
volume = "26",
number = "1",
year = "1990",
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author = "M. G. Breitfeld and D. F. Shanno",
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type = "{Research Report}",
number = "RRR~12--94",
year = "1994",
institution = "RUTCOR\,--\,Rutgers Center for Operations Research, Rutgers
University",
address = "Busch Campus, New Brunswick, NJ~08903, USA",
note = "Submitted to {\em Mathematical Programming}"
}
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year = "1998",
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Institute of Technology",
address = "Atlanta, GA~30332--0205, USA"
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author = "J. V. Burke and A. A. Goldstein and P. Tseng and Y. Ye",
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type = "{Technical Report}",
number = "",
year = "1996",
month = "December",
institution = "Department of Mathematics, University of Washington",
address = "Seattle, WA~98195, USA"
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type = "{Technical Report}",
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year = "1996",
institution = "Optimization Technology Center, Northwestern University",
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}
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author = "R. Byrd and M. B. Hribar and J. Nocedal",
title = "An interior point algorithm for large scale nonlinear
programming",
type = "{Technical Report}",
number = "OTC\,97/05",
year = "1997",
month = "July",
institution = "Optimization Technology Center, Northwestern University",
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}
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author = "R. Byrd and G. Liu and J. Nocedal",
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programming",
type = "{Technical Report}",
number = "OTC\,98/02",
year = "1998",
month = "January",
institution = "Optimization Technology Center, Northwestern University",
address = "Evanston, IL~60208--3119, USA",
note = "To appear in {\em Proceedings of the 1997 Dundee Conference on
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year = "1992",
month = "August",
institution = "Department of Mathematics, University of Windsor",
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type = "{RUTCOR Research Report}",
number = "RRR~25--90",
year = "1990",
month = "May",
institution = "RUTCOR\,--\,Rutgers Center for Operations Research, Hill
Center for Mathematical Sciences",
address = "New Brunswick, NJ~08903, USA",
note = "Technical Report SOR~90--02, School of Engineering and Applied
Science, Department of Civil Engineering and Operations Research,
Princeton University, Princeton, NJ~08544, USA, 1990"
}
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author = "T. J. Carpenter and I. J. Lustig and J. M. Mulvey and
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year = "1993",
pages = "182--191"
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@phdthesis{ipm:Carpenter4,
author = "T. J. Carpenter",
title = "Practical interior--point methods for quadratic programming",
year = "1992",
school = "School of Engineering and Applied Science, Department of Civil
Engineering and Operations Research, Princeton University",
address = "Princeton, NJ~08544, USA"
}
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volume = "2",
year = "1993",
pages = "5--28"
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type = "{Technical Report}",
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month = "April",
institution = "School of Industrial and Systems Engineering, Georgia
Institute of Technology",
address = "Atlanta, GA~30332--0205, USA"
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author = "J. Castro and N. Nabona",
title = "Primal--dual interior point method for multicommodity network
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year = "1996",
pages = "451--458",
editor = "J. Dolezal et al.",
publisher = "Chapman \& Hall",
address = "London, Great Britain"
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type = "{Manuscript}",
number = "",
year = "1998",
month = "July",
institution = "Department of Statistics and Operations Research,
Universitat Rovira i Virgili",
address = "E--43006\,Tarragona, Spain"
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year = "1998",
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}
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year = "1986",
institution = "Department of Industrial and Management Systems
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number = "85--105",
year = "1985",
institution = "Department of Industrial and Management Systems
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address = "University Park, PA~16802, USA"
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year = "1985",
institution = "Department of Industrial Engineering, Purdue University",
address = "West Lafayette, IN~47907, USA",
note = "Revised 1986"
}
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title = "Exploiting special structures using a variant of {Karmarkar's}
algorithm",
type = "{Research Memorandum}",
number = "86--10",
year = "1986",
institution = "Department of Industrial Engineering, Purdue University",
address = "West Lafayette, IN~47907, USA"
}
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author = "V. Chandru",
title = "Notes on {Karmarkar's} new algorithm for linear programming",
type = "{Unpublished Memorandum}",
year = "1984",
institution = "Department of Industrial Engineering, Purdue University",
address = "West Lafayette, IN~47907, USA"
}
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author = "A. Charnes and T. Song and M. Wolfe",
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algorithm",
type = "{Research Report}",
number = "CCS~501",
year = "1984",
institution = "Center for Cybernetic Studies, University of Texas",
address = "Austin, TX~78712--1177, USA"
}
@techreport{ipm:Chen1,
author = "S. Chen",
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type = "{Talk held at the ORSA/TIMS Joint National Meeting in Los Angeles,
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year = "1986",
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institution = "AT~\&~T Bell Laboratories",
address = "Holmdel, NJ~07733, USA"
}
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author = "S. Chen and D. N. Lee",
title = "Supercomputers and an efficient implementation of {Karmarkar's}
algorithm",
type = "{Talk held at the SIAM National Meeting on Numerical Analysis in
Denver, CO, USA}",
year = "1987",
institution = "AT~\&~T Bell Laboratories",
address = "Holmdel, NJ~07733, USA"
}
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author = "B. T. Chen",
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{VIPs}",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Orlando, FL,
USA}",
year = "1992",
month = "April",
institution = "Department of Management and Systems, Washington State
University",
address = "Pullman, WA~99104, USA"
}
@phdthesis{ipm:Chen4,
author = "B. T. Chen",
title = "A continuation method for monotone variational inequality and
complementarity problems\,: {With} application to linear and nonlinear
programming",
year = "1990",
school = "Decision Sciences Department, The Wharton School, University of
Pennsylvania",
address = "Philadelphia, PA, USA"
}
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year = "1996",
pages = "97--138"
}
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author = "Y. C. Cheng and K. T. Medhi",
title = "The {AT\,\&\,T KORBX Linear Programming System}\,:
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type = "{Talk held at the ORSA/TIMS Joint National Meeting in New York, NY,
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year = "1989",
month = "October",
institution = "AT\,\&\,T Bell Laboratories",
address = "Holmdel, NJ~07733, USA"
}
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author = "Y. C. Cheng and J. M. Liu and M. Meketon and P. Wang and
R. Vanderbei and L. Slutsman",
title = "Linear programming algorithms implemented on the {AT~\&~T KORBX
System}",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Denver, CO,
USA}",
year = "1988",
month = "October",
institution = "AT~\&~T Bell Laboratories",
address = "Holmdel, NJ~07733, USA"
}
@techreport{ipm:Cheng3,
author = "Y. C. Cheng and D. J. Houck and E. Housos and C. Huang and
M. S. Meketon and L. Slutsman and R. Vanderbei and P. Wang",
title = "The {AT~\&~T~KORBX Linear Programming System}\,: {S}ystem
architecture and performance",
type = "{Talk held at the 13th International Symposium on Mathematical
Programming in Tokyo, Japan}",
year = "1988",
month = "August",
institution = "AT~\&~T Bell Laboratories",
address = "Holmdel, NJ~07733, USA"
}
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author = "Y. C. Cheng and D. J. Houck and J. M. Liu and M. S. Meketon
and L. Slutsman and R. J. Vanderbei and P. Wang",
title = "The {AT~\&~T~KORBX System}",
journal = "AT~\&~T Technical Journal",
volume = "68",
year = "1989",
pages = "7--19"
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volume = "31",
year = "1994",
pages = "95--106"
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volume = "87",
year = "1995",
pages = "301--321"
}
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author = "M. J. Chifflet and A. Lisser and D. Tachat and P. Tolla",
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type = "{Talk held at the 12th Triennial Conference on Operations Research
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year = "1990",
month = "June",
institution = "Laboratoire de Analyse et Modelisation de Systemes pour
l'Aide a la Decision (LAMSADE), Universite de Paris Dauphine",
address = "F--75775~Paris~Cedex~16, France"
}
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volume = "24",
number = "3",
year = "1991",
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pages = "24--25"
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year = "1994",
pages = "1.169--1.172"
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author = "P. Chin and A. Vannelli",
title = "{PCG} techniques for interior point algorithms",
journal = "Proceedings of the 36th Midwest Symposium on Circuits and
Systems (Detroit, MI, USA, August 1993)",
volume = "1",
year = "1994",
pages = "200--201"
}
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author = "S. S. Chiu and Y. Ye",
title = "Recovering the shadow price in projection methods for linear
programming",
type = "{Technical Report}",
year = "1985",
institution = "Engineering Economic Systems Department, Stanford
University",
address = "Stanford, CA~94305, USA"
}
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author = "S. S. Chiu and Y. Ye",
title = "Simplex method and {Karmarkar's} algorithm\,: {A} unifying
structure",
type = "{Technical Report}",
year = "1985/86",
institution = "Engineering Economic Systems Department, Stanford
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address = "Stanford, CA~94305, USA"
}
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author = "I. C. Choi and D. Goldfarb",
title = "Interior point methods for solving structured linear programs using
parallel computation",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in New York, NY,
USA}",
year = "1989",
month = "October",
institution = "Department of Industrial Engineering and Operations
Research, Columbia University",
address = "New York, NY~10027, USA"
}
@techreport{ipm:Choi2,
author = "I. C. Choi and D. Goldfarb",
title = "Detecting optimal basic and nonbasic variables prior to optimality
in interior point methods",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Las Vegas, NV,
USA}",
year = "1990",
month = "May",
institution = "Department of Industrial Engineering and Operations
Research, Columbia University",
address = "New York, NY~10027, USA"
}
@techreport{ipm:Choi3,
author = "I. C. Choi and C. L. Monma and D. F. Shanno",
title = "Computational experience with a primal--dual interior point
method for linear programming",
type = "{Technical Report}",
year = "1989",
institution = "RUTCOR Center of Operations Research, Rutgers University",
address = "New Brunswick, NJ~08903, USA"
}
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author = "I. C. Choi and C. L. Monma and D. F. Shanno",
title = "Further development of a primal--dual interior point method",
journal = "ORSA Journal on Computing",
volume = "2",
year = "1990",
pages = "304--311"
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@incollection{ipm:Choi5,
author = "I. C. Choi and D. Goldfarb",
title = "Solving multicommodity network flow problems by an interior point
method",
booktitle = "Large--Scale Numerical Optimization, Papers from the Workshop
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series = "SIAM Proceedings in Applied Mathematics",
volume = "46",
year = "1990",
pages = "58--69",
editor = "T. F. Coleman and Y. Li",
publisher = "Society of Industrial and Applied Mathematics (SIAM)",
address = "Philadelphia, PA, USA"
}
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author = "I. C. Choi",
title = "Partitioning methods in interior point algorithms",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Orlando, FL,
USA}",
year = "1992",
month = "April",
institution = "Department of Industrial Engineering, The Wichita State
University",
address = "Wichita, KS~67206, USA"
}
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author = "I. C. Choi and D. Goldfarb",
title = "Exploiting special structure in a primal--dual path--following
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journal = "Mathematical Programming",
volume = "58",
year = "1993",
pages = "33--52"
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@phdthesis{ipm:Choi8,
author = "I. C. Choi",
title = "Interior point methods for solving large structured linear
programs",
year = "1990",
school = "Department of Industrial Engineering and Operations Research,
Columbia University",
address = "New York, NY~10027, USA"
}
@article{ipm:Choi9,
author = "I. C. Choi and D. Goldfarb",
title = "On solution--containing ellipsoids in linear programming",
journal = "Journal of Optimization Theory and Applications",
volume = "80",
year = "1994",
pages = "161--173"
}
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volume = "42",
year = "1998",
pages = "145--173"
}
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author = "E. Christiansen and K. O. Kortanek",
title = "Computing material collapse displacement fields on a
{Cray~X--MP/48} by the {LP} primal affine scaling algorithm",
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volume = "22",
year = "1990",
pages = "355--376"
}
@article{ipm:Christiansen2,
author = "E. Christiansen and K. O. Kortanek",
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primal affine scaling algorithm",
journal = "Journal of Computational and Applied Mathematics",
volume = "34",
year = "1991",
pages = "47--63"
}
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author = "M. Christoforidis and M. Aganagic and B. Awobamise and S. Tong",
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power system using interior point method",
journal = "Power Industry Computer Application Conference",
volume = "",
year = "1995",
pages = "164--"
}
@article{ipm:Christoforidis2,
author = "M. Christoforidis and M. Aganagic and B. Awobamise and S. Tong
and A. F. Rahimi",
title = "Long--term/midterm resource optimization of a hydro--dominant
power system using interior point method",
journal = "IEEE Transactions on Power Systems",
volume = "11",
year = "1996",
pages = "287--294"
}
@article{ipm:Chu1,
author = "S. C. K. Chu",
title = "On the existence of positive non--extreme point solutions of
linear programming",
journal = "International Journal of Mathematical Education in Science
and Technology",
volume = "21",
year = "1990",
pages = "99--103"
}
@article{ipm:Clark1,
author = "C. E. Clark and J. L. Strand",
title = "Application of the {Karmarkar} algorithm and expert system
technology to transmission network planning",
journal = "GLOBECOM Tokyo~'87\,: Conference Record of the IEEE/IEICE
Global Telecommunications Conference in Tokyo",
volume = "2",
year = "1987",
pages = "270"
}
@book{ipm:Clausen1,
author = "J. Clausen and F. A. {Al--Khayyal}",
title = "Interior Point Methods",
year = "1991",
month = "August",
series = "Mathematical Programming Society Committee on Algorithms (COAL)
Newsletter",
volume = "19",
publisher = "Mathematical Programming Society",
address = "Amsterdam, The Netherlands"
}
@article{ipm:Clements1,
author = "K. A. Clements and P. W. Davis and K. P. Frey",
title = "An interior point algorithm for weighted least absolute value power
system state estimation",
journal = "IEEE Winter Power Meeting (New York 1991)",
volume = "",
year = "1991",
pages = "Paper.91--WM225--2 PWRS"
}
@techreport{ipm:Coleman1,
author = "T. Coleman and Y. Li",
title = "Quadratic interior point algorithms for piecewise linear problems",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in New York, NY,
USA}",
year = "1989",
month = "October",
institution = "School of Operations Research and Industrial Engineering,
Cornell University",
address = "Ithaca, NY~14853, USA"
}
@book{ipm:Coleman2,
author = "T. F. Coleman and Y. Li",
title = "Large--Scale Optimization, Papers from the Workshop held at
Cornell University, Ithaca, NY, USA, October 1989",
year = "1990",
series = "SIAM Proceedings in Applied Mathematics",
volume = "46",
publisher = "Society of Industrial and Applied Mathematics (SIAM)",
address = "Philadelphia, PA, USA"
}
@article{ipm:Coleman3,
author = "T. F. Coleman and Y. Li",
title = "A globally and quadratically convergent affine scaling method for
linear {L$_{\mbox{1}}$} problems",
journal = "Mathematical Programming",
volume = "52",
year = "1992",
pages = "189--222"
}
@article{ipm:Coleman4,
author = "T. F. Coleman and Y. Li",
title = "On the convergence of interior--reflective {Newton} methods for
nonlinear minimization subject to bounds",
journal = "Mathematical Programming",
volume = "67",
year = "1994",
pages = "189--224"
}
@article{ipm:Coleman5,
author = "T. F. Coleman and Y. Li",
title = "An interior trust region approach for nonlinear minimization
subject to bounds",
journal = "SIAM Journal on Optimization",
volume = "6",
year = "1996",
pages = "418--445"
}
@techreport{ipm:Coleman6,
author = "T. F. Coleman and J. Liu",
title = "An interior {Newton} method for quadratic programming",
type = "{Technical Report}",
number = "TR\,93--1388",
year = "1993",
month = "October",
institution = "Computer Science Department, Cornell University",
address = "Ithaca, NY~14853, USA"
}
@article{ipm:Coleman7,
author = "T. F. Coleman and L. A. Hulbert",
title = "A globally and superlinearly convergent algorithm for convex
quadratic programs with simple bounds",
journal = "SIAM Journal on Optimization",
volume = "3",
year = "1993",
pages = "298--321"
}
@article{ipm:Coleman8,
author = "T. F. Coleman and Y. Li",
title = "A reflective {Newton} method for minimizing a quadratic function
subject to bounds on some of the variables",
journal = "SIAM Journal on Optimization",
volume = "6",
year = "1996",
pages = "1040--1058"
}
@techreport{ipm:Coleman9,
author = "T. F. Coleman and J. Czyzyk and C. Sun and M. Wagner and S. J.
Wright",
title = "{pPCx}\,: {Parallel} software for linear programming",
type = "{Technical Report}",
number = "TR\,96--14",
year = "1996",
month = "December",
institution = "Computer Science Department, Cornell University",
address = "Ithaca, NY~14853, USA",
note = "See also {\it{Proceedings of the Eighth SIAM Conference on
Parallel Processing for Scientific Computing (Minneapolis, MN, 1997),
8pp. (electronic), SIAM, Philadelphia, PA, 1997}}"
}
@techreport{ipm:Colmenares1,
author = "O. Colmenares",
title = "Karmarkar's linear programming algorithm\,: {B}etter or worse than
the classical method~?",
type = "{Technical Report}",
year = "1985",
month = "January",
institution = "Graduate School of Management, University of California at
Los Angeles",
address = "Los Angeles, CA, USA"
}
@article{ipm:Cominetti1,
author = "R. Cominetti and J. {San Martin}",
title = "Asymptotic analysis of the exponential penalty trajectory in
linear programming",
journal = "Mathematical Programming",
volume = "67",
year = "1994",
pages = "169--187"
}
@techreport{ipm:Conn1,
author = "A. R. Conn and N. I. M. Gould and Ph. L. Toint",
title = "A globally convergent {Lagrangian} barrier algorithm for
optimization with general inequality constraints and simple bounds",
type = "{Technical Report}",
number = "92/07",
year = "1992",
institution = "Department of Mathematics, FUNDP",
address = "Namur, Belgium"
}
@article{ipm:Conn2,
author = "A. R. Conn and N. I. M. Gould and Ph. L. Toint",
title = "A note on using alternative second--order models for the
subproblems arising in barrier function methods for minimization",
journal = "Numerische Mathematik",
volume = "68",
year = "1994",
pages = "17--33"
}
@techreport{ipm:Conn3,
author = "A. R. Conn and M. L. Overton",
title = "A primal--dual interior--point method for minimizing a sum of
{Euclidean} distances",
type = "{Technical Report}",
year = "1995",
institution = "Department of Mathematics, FUNDP",
address = "Namur, Belgium",
note = "(In preparation)"
}
@techreport{ipm:Conn4,
author = "A. R. Conn and N. I. M. Gould and P. L. Toint",
title = "A primal--dual algorithm fror minimizing a nonconvex function
subject to bound and linear equality constraints",
type = "{Technical Report}",
number = "RC\,20639",
year = "1996",
institution = "IBM T.\,J.\,Watson Research Center",
address = "Yorktown Heights, New York, NY, USA"
}
@article{ipm:Conway1,
author = "R. Conway and M. Magazine",
title = "A case against software patents",
journal = "OR/MS Today",
volume = "18",
number = "1",
year = "1991",
month = "February",
pages = "14--15"
}
@inbook{ipm:Cook1,
author = "T. M. Cook and R. A. Russell",
title = "Introduction to Management Science",
chapter = "4\,: {A}n alternative to the simplex method --- {Karmarkar's}
algorithm",
pages = "137--139",
publisher = "Prentice Hall",
address = "Englewood Cliffs, NJ~07632, USA",
edition = "fourth",
year = "1989"
}
@inbook{ipm:Cottle1,
author = "R. Cottle and J.--S. Pang and R. E. Stone",
title = "{The Linear Complementarity Problem}",
chapter = "5.9\,: Interior--point methods",
pages = "461--475",
publisher = "Academic Press",
year = "1992"
}
@techreport{ipm:CPLEX1,
key = "Cplex1",
title = "{\emph{CPLEX User's Guide}}",
type = "Manual",
institution = "CPLEX Optimization, Inc.",
address = "Incline Village, NV, USA",
year = "1993",
url = "http://www.cplex.com/barsolv.html"
}
@article{ipm:Cremonese1,
author = "P. Cremonese",
title = "Programmazione lineare e algoritmo proiettivo. {Implementazione},
experienze, relazione col simplesso {(Linear Programming and Projective
Algorithm. Implementation, experiences, Simplex Relation)}",
journal = "Ricerca Operativa (Italy)",
volume = "18",
year = "1988",
pages = "73--102",
note = "(In Italian)"
}
@techreport{ipm:Crouzeix1,
author = "J. P. Crouzeix and C. Roos",
title = "On the inverse target map of a linear programming problem",
type = "{Working Paper}",
year = "1994",
institution = "University of Clermont",
address = "Clermont, France"
}
@techreport{ipm:Cvetkovic1,
author = "D. Cvetkovi{\'c} and M. Cangalovi{\'c} and
V. V. {Kova\u{c}evi{\'c}--Vuj\u{c}i{\'c}}",
title = "Semidefinite relaxations of traveling salesman problem",
type = "{Technical Report}",
number = "902--98",
year = "1998",
month = "November",
institution = "Laboratory for Operations Research, Faculty of
Organizational Sciences, University of Belgrade",
address = "Belgrade, Yugoslavia"
}
@article{ipm:Czyzyk1,
author = "J. Czyzyk and R. Fourer and S. Mehrotra",
title = "A study of the augmented system and column--splitting approaches
for solving two--stage stochastic linear programs by interior--point
methods",
journal = "ORSA Journal on Computing",
volume = "7",
year = "1995",
pages = "474--490"
}
@techreport{ipm:Czyzyk2,
author = "J. Czyzyk and R. Fourer and S. Mehrotra",
title = "Using massively parallel processors to solve large sparse linear
programs by an interior--point method",
type = "{Technical Report}",
year = "1994",
month = "July",
institution = "Department of Industrial Engineering and Management
Sciences, Northwestern University",
address = "Evanston, IL~60208--3119, USA",
note = "Revised May 1994"
}
@techreport{ipm:Czyzyk3,
author = "J. Czyzyk and S. Mehrotra and S. J. Wright",
title = "{PCx} user guide",
type = "{Technical Report}",
number = "OTC\,96/01",
year = "1996",
month = "May",
institution = "Optimization Technology Center, Northwestern University",
address = "Evanston, IL~60208--3119, USA",
note = "For a revised version see Czyzyk et al.\,\cite{ipm:Czyzyk4}",
url = "http://www.mcs.anl.gov/home/otc/Library/PCx/"
}
@techreport{ipm:Czyzyk4,
author = "J. Czyzyk and S. Mehrotra and M. Wagner and S. J. Wright",
title = "{PCx User's Guide (Version 1.1)}",
type = "{Technical Report}",
number = "OTC\,96/01",
year = "1997",
month = "November",
institution = "Optimization Technology Center, Northwestern University",
address = "Evanston, IL~60208--3119, USA",
note = "(Revised version of Czyzyk, Fourer and Wright \cite{ipm:Czyzyk3})",
url = "http://www.mcs.anl.gov/home/otc/Library/PCx/"
}
@techreport{ipm:Das1,
author = "I. Das",
title = "An interior point algorithm for the general nonlinear programming
problem with trust region globalization",
type = "{Technical Report}",
number = "TR~96--17",
year = "1996",
institution = "Department of Computational and Applied Mathematics, Rice
University",
address = "Houston, TX~77251, USA"
}
@techreport{ipm:Dantzig1,
author = "G. B. Dantzig and Y. Ye",
title = "A build--up interior method for linear programming\,: {Affine}
scaling form",
type = "{Technical Report}",
number = "SOL~90--4",
year = "1990",
month = "February",
institution = "Systems Optimization Laboratory, Department of Operations
Research, Stanford University",
address = "Stanford, CA~94305, USA"
}
@article{ipm:Dantzig2,
author = "G. B. Dantzig and D. Goldfarb and E. Lawler and C. Monma
and S. M. Robinson",
title = "Report of the {Committee on Algorithms and the Law}",
journal = "Optima (The Mathematical Programming Society Newsletter)",
volume = "33",
year = "1991",
month = "June",
pages = "2--19",
note = "Containing\,: B.~Kahin, The case against {''software patents''},
Appendix~A, pages 5--13, and The League for Programming Freedom, Against
software patents, Appendix~B, pages 14--19"
}
@techreport{ipm:Dantzig3,
author = "G. B. Dantzig and Y. Ye",
title = "A build--up interior method for linear programming\,: {Affine}
scaling form",
type = "{Technical Report}",
year = "1991",
month = "July",
institution = "Department of Management Science, University of Iowa",
address = "Iowa City, IA~52242, USA"
}
@techreport{ipm:Dantzig4,
author = "G. B. Dantzig",
title = "Dikin's interior method for {LP}",
type = "{Manuscript}",
year = "1988",
institution = "Systems Optimization Laboratory, Department of Operations
Research, Stanford University",
address = "Stanford, CA~94305, USA"
}
@article{ipm:Dantzig5,
author = "G. B. Dantzig and D. Goldfarb and E. Lawler and C. Monma
and S. M. Robinson",
title = "Report of the {MPS Committee on Algorithms and the Law}",
journal = "SIAM News",
volume = "24",
number = "6",
year = "1991",
month = "November",
pages = "3, 18"
}
@book{ipm:Dantzig6,
author = "G. B. Dantzig and M. Thapa",
title = "Linear Programming\,: An Introduction",
year = "1997",
publisher = "Springer Verlag",
address = "Berlin, Germany"
}
@article{ipm:David1,
author = "{David~II}--Report",
title = "Renewing {U.S.} mathematics --- {A} plan for the 1990s,
{S}ection~24\,: {Interior} point methods for linear programming",
journal = "Notices of the American Mathematical Society",
volume = "37",
number = "8",
year = "1990",
month = "October",
pages = "984--1004, esp.\ 1001--1002"
}
@article{ipm:Dennis1,
author = "J. E. Dennis and A. M. Morshedi and K. Turner",
title = "A variable metric variant of the {Karmarkar} algorithm for linear
programming",
journal = "Mathematical Programming",
volume = "39",
year = "1987",
pages = "1--20"
}
@article{ipm:Dennis2,
author = "J. E. Dennis and L. N. Vicente",
title = "Trust--region interior--point algorithms for minimization
problems with simple bounds",
journal = "Applied Mathematics and Parallel Computing",
volume = "",
year = "1996",
pages = "97--107"
}
@techreport{ipm:Dennis3,
author = "J. E. Dennis and M. Heinkenschloss and L. N. Vicente",
title = "Trust--region interior--point algorithms for a class of nonlinear
programming problems",
type = "{Technical Report}",
number = "TR~94--45",
year = "1994",
institution = "Department of Computational and Applied Mathematics, Rice
University",
address = "Houston, TX~77251, USA",
note = "Revised May 1995"
}
@techreport{ipm:Dennis4,
author = "J. E. Dennis and M. Heinkenschloss and L. N. Vicente",
title = "{TRICE}\,--\,{Trust--region} interior--point algorithms for
optimal control and engineering design problems",
type = "{Project}",
number = "",
year = "1997",
institution = "Department of Computational and Applied Mathematics, Rice
University",
address = "Houston, TX~77251, USA",
note = "For further informations see {\tt http://www.caam.rice.edu/~trice}"
}
@article{ipm:Dennis5,
author = "J. E. Dennis and M. Heinkenschloss and L. N. Vicente",
title = "Trust--region interior--point {SQP} algorithms for a class of
nonlinear programming problems",
journal = "SIAM Journal on Control and Optimization",
volume = "36",
year = "1998",
pages = "1750--1794"
}
@inproceedings{ipm:Derigs1,
author = "U. Derigs",
title = "{Neuere Ans{\"a}tze in der Linearen Optimierung---Motivation,
Konzepte und Verfahren~(Recent results in linear programming---motivation,
concepts and methods)}",
booktitle = "Operations Research Proceedings 1985",
editor = "L. Streitfeldt and H. Hauptmann and A. W. Marusev and D. Ohse
and U. Pape",
year = "1986",
pages = "47--58",
address = "Springer Verlag, Berlin, Germany",
note = "(In German)"
}
@article{ipm:Diao1,
author = "Z. Y. Diao",
title = "Karmarkar's algorithm and its modification",
journal = "Chinese Journal on Operations Research",
volume = "7",
number = "1",
year = "1988",
pages = "73--75"
}
@article{ipm:Diao2,
author = "Z. Y. Diao",
title = "A remark on {Karmarkar's} algorithm",
journal = "Chinese Journal on Operations Research",
volume = "7",
number = "2",
year = "1988",
pages = "61--62"
}
@techreport{ipm:Diao3,
author = "Z. Y. Diao",
title = "Interior point algorithms and dynamic systems",
type = "{Talk held at the Fourth SIAM Conference on Optimization in Chicago,
IL, USA}",
year = "1992",
month = "May",
institution = "Shandong University",
address = "People's Republic of China"
}
@article{ipm:Didderich1,
author = "G. T. Didderich",
title = "Some remarks on {Karmarkar's} potential function",
journal = "Aequationes Mathematicae",
volume = "36",
year = "1988",
pages = "57--75"
}
@article{ipm:Dikin1,
author = "I. I. Dikin",
title = "Iterative solution of problems of linear and quadratic programming",
journal = "Doklady Akademii Nauk SSSR",
volume = "174",
year = "1967",
pages = "747--748",
note = "Translated in\,: {\em Soviet Mathematics Doklady 8:674--675, 1967}"
}
@article{ipm:Dikin2,
author = "I. I. Dikin",
title = "On the convergence of an iterative process",
journal = "Upravlyaemye Sistemi",
volume = "12",
year = "1974",
pages = "54--60",
note = "(In Russian)"
}
@article{ipm:Dikin3,
author = "I. I. Dikin",
title = "Letter to the editor",
journal = "Mathematical Programming",
volume = "41",
year = "1988",
pages = "393--394"
}
@book{ipm:Dikin4,
author = "I. I. Dikin and V. I. Zorkaltsev",
title = "Iterative Solutions of Mathematical Programming Problems
-- Interior Point Methods",
year = "1980",
publisher = "Nauka Publishers",
address = "Novosibirsk, USSR",
note = "(In Russian)"
}
@techreport{ipm:Dikin5,
author = "I. I. Dikin",
title = "The convergence of dual variables",
type = "{Technical Report}",
year = "1991",
month = "December",
institution = "Siberian Energy Institute",
address = "Irkutsk, Russia"
}
@article{ipm:Dikin6,
author = "I. I. Dikin",
title = "Determination of the interior point of one system of linear
inequalities",
journal = "Kibernetika Sistemnyi Analiz",
volume = "1",
year = "1992",
pages = "76--74, 188",
note = "(In Russian). Translated in Cybernetic and Systems Analysis"
}
@article{ipm:Dikin7,
author = "I. I. Dikin and C. Roos",
title = "Convergence of the dual variables for the primal affine scaling
method with unit steps in the homogeneous case",
journal = "Journal of Optimization Theory and Applications",
volume = "95",
year = "1997",
pages = "305--321"
}
@incollection{ipm:Dikin8,
author = "I. I. Dikin",
title = "The method of interior points in linear programming",
booktitle = "{Optimizatsiya\,: Modeli, Metody, Resheniya}",
editor = "V. P. Bulatov",
year = "1992",
pages = "54--69",
publisher = "Nauka",
address = "Novosibirsk, USSR",
note = "(In Russian)"
}
@article{ipm:Ding1,
author = "J. Ding and T. Y. Li",
title = "An algorithm based on weighted logarithmic barrier functions for
linear complementarity problems",
journal = "Arabian Journal for Science and Engineering",
volume = "15",
number = "4",
year = "1990",
pages = "769--685"
}
@article{ipm:Ding2,
author = "J. Ding and T. Y. Li",
title = "A polynomial--time predictor--corrector algorithm for a class of
linear complementarity problems",
journal = "SIAM Journal on Computing",
volume = "1",
number = "1",
year = "1991",
pages = "83--92"
}
@techreport{ipm:Ding3,
author = "J. Ding",
title = "An interior point algorithm for linear complementarity problems",
type = "{Technical Report}",
year = "1992",
institution = "University of Southern Mississippi",
address = "USA",
note = "To appear in {\em Linear Algebra and Its Applications}"
}
@techreport{ipm:Ding4,
author = "J. Ding",
title = "A new polynomial--time algorithm for linear programming",
type = "{Technical Report}",
year = "1988",
institution = "Department of Mathematics, Michigan State University",
address = "East Lansing, MI~48824, USA"
}
@incollection{ipm:Ding5,
author = "J. Ding",
title = "A scaled gradient projection algorithm for linear complementarity
problems",
booktitle = "Advances in Optimization and Approximation",
editor = "D.--Z. Du and J. Sun",
year = "1994",
pages = "58--67",
series = "Nonconvex Optimization and Its Applications",
volume = "1",
publisher = "Kluwer Academic Publishers",
address = "Dordrecht, The Netherlands"
}
@techreport{ipm:Dinn1,
author = "J. Dinn",
title = "A new polynomial--time algorithm for linear programming",
type = "{Technical Report}",
year = "1988",
institution = "Department of Mathematics, Michigan State University",
address = "East Lansing, MI~48824, USA",
note = "Incorrect author name, see Ding \cite{ipm:Ding4}"
}
@article{ipm:Dinn2,
author = "N. F. Dinn and N. K. Karmarkar and L. P. Sinha",
title = "Karmarkar algorithm enables interactive planning of networks",
journal = "Record AT~\&~T~Bell Laboratories",
volume = "64",
number = "2",
year = "1986",
pages = "11--13"
}
@article{ipm:Dodani1,
author = "M. H. Dodani and A. J. G. Babu",
title = "Karmarkar's projective method for linear programming\,: {A}
computational survey",
journal = "Computers and Industrial Engineering",
volume = "13",
year = "1987",
pages = "285--289"
}
@article{ipm:Dodani2,
author = "M. H. Dodani and A. J. G. Babu",
title = "Karmarkar's projective method for linear programming\,: {A}
computational appraisal",
journal = "Computers and Industrial Engineering",
volume = "16",
year = "1989",
pages = "198--206"
}
@article{ipm:Dodani3,
author = "M. H. Dodani and A. J. G. Babu",
title = "Karmarkar's projective method for linear programming\,: {A}
computational survey",
journal = "International Journal of Mathematical Education in Science and
Technology",
volume = "21",
year = "1990",
pages = "191--212"
}
@book{ipm:Dolecki1,
author = "S. Dolecki",
title = "Optimization\,: Proceedings of the 5th French--German Conference in
Castel--Novel, Varetz, France, October 1988",
year = "1989",
series = "Lecture Notes in Mathematics",
volume = "1405",
publisher = "Springer Verlag",
address = "Berlin, Germany"
}
@article{ipm:Doljansky1,
author = "M. Doljansky and M. Teboulle",
title = "An interior proximal algorithm and the exponetial multiplier
method for semidefinite programming",
journal = "SIAM Journal on Optimization",
volume = "9",
year = "1999",
pages = "1--13"
}
@techreport{ipm:Domich1,
author = "P. D. Domich and P. T. Boggs and J. R. Donaldson and C. Witzgall",
title = "Optimal 3--dimensional methods for linear programming",
type = "{Technical Report}",
number = "NISTIR~89--4225",
year = "1989",
month = "December",
institution = "United States Department of Commerce, National Institute
of Standards and Technology",
address = "Gaithersburg, MD~20899, USA"
}
@article{ipm:Domich2,
author = "P. D. Domich and P. T. Boggs and J. E. Rogers and C. Witzgall",
title = "Optimizing over 3--d subspaces in an interior point method",
journal = "Linear Algebra and Its Applications",
volume = "152",
year = "1991",
pages = "315--342"
}
@techreport{ipm:Domich3,
author = "P. D. Domich and P. T. Boggs and J. R. Donaldson and C. Witzgall",
title = "Third order correction methods to the method of centers for linear
programming problems",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Las Vegas, NV,
USA}",
year = "1990",
month = "May",
institution = "United States Department of Commerce, National Institute of
Standards and Technology, Applied and Computational Mathematics Division",
address = "Boulder, CO~80303, USA"
}
@techreport{ipm:Domich4,
author = "P. D. Domich and P. T. Boggs and J. R. Donaldson and C. Witzgall",
title = "An interior point approach for linear and quadratic programming",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Anaheim, CA,
USA}",
year = "1991",
month = "November",
institution = "United States Department of Commerce, National Institute of
Standards and Technology, Applied and Computational Mathematics Division",
address = "Boulder, CO~80303, USA"
}
@techreport{ipm:Doup1,
author = "T. Doup and R. Bisseling and L. Loyens",
title = "A parallel interior point algorithm for linear programming on a
network of 400 transputers",
type = "{Talk held at the Symposium APMOD~'91---Applied Mathematical
Programming and Modelling, Brunel University, London, United Kingdom}",
year = "1991",
month = "January",
institution = "Shell Research Center (KSLA)",
address = "Amsterdam, The Netherlands",
note = "See also Bisseling, Doup and Loyens\,\cite{ipm:Bisseling1}"
}
@techreport{ipm:Dowling1,
author = "M. L. Dowling",
title = "Comparing the affine and projective vector fields associated with
linear programming",
type = "{Technical Report}",
year = "1989",
institution = "Department of Management, University of Georgia",
address = "Athens, GA~30602, USA",
note = "Submitted to {\em Mathematical Programming}"
}
@article{ipm:Dowling2,
author = "M. L. Dowling",
title = "An affine scaling algorithm for linear programming problems with
inequality constraints",
journal = "Mathematical Models of Operations Research",
volume = "43",
year = "1996",
pages = "301--318"
}
@techreport{ipm:Dowling3,
author = "M. L. Dowling",
title = "An affine scaling method for nonlinear programming",
type = "{Habilitationthesis}",
year = "1994",
institution = "Institut f{\"u}r Angewandte Mathematik, Abteilung f{\"u}r
Mathematische Optimierung, Technische Universit{\"a}t Braunschweig",
address = "P{\"o}ckelstr. 14, D--38106 Braunschweig, Germany"
}
@article{ipm:Du1,
author = "D. Z. Du and F. Wu and X. S. Zhang",
title = "Why is the objective function nonlinearized in the interior point
methods for nonlinear programming?",
journal = "Mathematics in Practice and Theory",
volume = "2",
year = "1990",
pages = "63--68",
note = "(In Chinese)"
}
@article{ipm:Duff1,
author = "I. S. Duff",
title = "The solution of large--scale least--squares problems on
supercomputers",
journal = "Annals of Operations Research",
volume = "22",
year = "1990",
pages = "241--252"
}
@techreport{ipm:Eckstein1,
author = "J. Eckstein and R.--J. Qi and V. I. Ragulin and S. A. Zenios",
title = "Data--parallel implementations of dense linear programming
algorithms",
type = "{Technical Report}",
number = "TMC--230",
year = "1992",
month = "May",
institution = "Thinking Machines Corporation",
address = "Cambridge, MA~02142, USA",
note = "Also available as Decision Sciences Department Report~92--05--06,
The Wharton School, University of Pennsylvania, Philadelphia, PA~19101,
USA"
}
@article{ipm:Economist1,
key = "Economist",
title = "Not so simplex",
journal = "The Economist",
year = "1984",
month = "December 1,"
}
@techreport{ipm:Edirisinghe1,
author = "C. Edirisinghe and W. Ziemba",
title = "A boundary point algorithm for linear programming",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Anaheim, CA,
USA}",
year = "1991",
month = "November",
institution = "Department of Commerce and Business Administration,
University of British Columbia",
address = "Vancouver, BC~V6T~1Y8, Canada"
}
@techreport{ipm:Edwards1,
author = "J. J. Edwards and J. A. Tomlin",
title = "Towards a highly parallel mathematical programming system",
type = "{Talk held at the 14th International Mathematical Programming
Symposium in Amsterdam, The Netherlands}",
year = "1991",
month = "August",
institution = "IBM Almaden Research Center",
address = "San Jose, CA~95120, USA",
note = "{Technical Report in preparation}"
}
@article{ipm:ElBakry1,
author = "A. S. {El--Bakry} and R. A. Tapia and Y. Zhang",
title = "A study of indicators for identifying zero variables in
interior--point methods",
journal = "SIAM Review",
volume = "36",
year = "1994",
pages = "45--72"
}
@techreport{ipm:ElBakry2,
author = "A. S. {El--Bakry} and R. A. Tapia and Y. Zhang",
title = "Numerical comparisons of local convergence strategies for
interior--point methods in linear programming",
type = "{Technical Report}",
number = "TR~91--18",
year = "1991",
institution = "Department of Mathematical Sciences, Rice University",
address = "Houston, TX~77251, USA"
}
@techreport{ipm:ElBakry3,
author = "A. S. {El--Bakry} and R. A. Tapia and Y. Zhang",
title = "On obtaining highly accurate or basic solutions using
interior--point methods in linear programming",
type = "{Talk held at the Fourth SIAM Conference on Optimization in Chicago,
IL, USA}",
year = "1992",
month = "May",
institution = "Department of Mathematical Sciences, Rice University",
address = "Houston, TX~77251, USA"
}
@phdthesis{ipm:ElBakry4,
author = "A. S. {El--Bakry}",
title = "On the role of indicators in identifying zero variables in linear
programming",
year = "1991",
school = "Department of Mathematical Sciences, Rice University",
address = "Houston, TX~77251, USA"
}
@article{ipm:ElBakry5,
author = "A. S. {El--Bakry} and R. A. Tapia and Y. Zhang",
title = "On the convergence rate of {Newton} interior--point methods
in the absence of strict complementarity",
journal = "Computational Optimization and Applications",
volume = "6",
year = "1996",
pages = "157--167"
}
@article{ipm:ElBakry6,
author = "A. S. {El--Bakry} and R. A. Tapia and T. Tsuchiya
and Y. Zhang",
title = "On the formulation and theory of the {Newton} interior--point
method for nonlinear programming",
journal = "Journal of Optimization Theory and Applications",
volume = "89",
year = "1996",
pages = "507--541"
}
@techreport{ipm:ElBakry7,
author = "A. S. {El--Bakry} and R. A. Tapia and Y. Zhang",
title = "Logarithmic indicators and the identification of subgroups of
variables in interior--point methods",
type = "{Technical Report}",
number = "TR~93--35",
year = "1993",
month = "September",
institution = "Department of Computational and Applied Mathematics, Rice
University",
address = "Houston, TX~77251, USA"
}
@article{ipm:ElBakry8,
author = "A. S. {El--Bakry}",
title = "Convergence rate of primal--dual reciprocal barrier {Newton}
interior--point methods",
journal = "Optimization Methods and Software",
volume = "9",
year = "1998",
pages = "37--44"
}
@article{ipm:Emmett1,
author = "A. Emmett",
title = "Karmarkar's algorithm\,: {A} threat to simplex~?",
journal = "IEEE Spectrum",
volume = "22",
number = "12",
year = "1985",
month = "December",
pages = "54--55"
}
@article{ipm:Encheva1,
author = "T. J. Encheva",
title = "Computational comparisons for the method of centers of gravity of
vertices",
journal = "Serdica (Bulgaricae Mathematicae Publicationes)",
volume = "16",
number = "3",
year = "1990",
pages = "188--193"
}
@techreport{ipm:Epelman1,
author = "M. Epelman and R. M. Freund",
title = "Condition number complexity of an elementary algorithm for
resolving a conic linear system",
type = "{Technical Report}",
number = "",
year = "1997",
month = "February",
institution = "Sloan School of Management, Massachusetts Institute of
Technology",
address = "Cambridge, MA~02139, USA"
}
@techreport{ipm:Epelman2,
author = "M. Epelman and R. M. Freund",
title = "Condition number complexity of an elementary algorithm for
computing a reliable solution of a conic linear system",
type = "{Technical Report}",
number = "",
year = "1998",
month = "December",
institution = "Sloan School of Management, Massachusetts Institute of
Technology",
address = "Cambridge, MA~02139, USA"
}
@techreport{ipm:Eriksson1,
author = "J. R. Eriksson",
title = "Algorithms for entropy and mathematical programming",
type = "{Link{\"o}ping Studies in Science and Technology Dissertations}",
number = "63",
year = "1981",
institution = "Department of Mathematics, Link{\"o}ping University",
address = "S--58183~Link{\"o}ping, Sweden"
}
@techreport{ipm:Eriksson2,
author = "J. R. Eriksson",
title = "An iterative primal--dual algorithm for linear programming",
type = "{Technical Report}",
number = "LiTH--MAT--R--1985--10",
year = "1985",
institution = "Department of Mathematics, Link{\"o}ping University",
address = "S--58183~Link{\"o}ping, Sweden"
}
@techreport{ipm:Eriksson3,
author = "J. R. Eriksson",
title = "Using the entropy function to get an interior point method for
linear programming",
type = "{Technical Report}",
number = "LiTH--MAT--R--1990--02",
year = "1990",
institution = "Department of Mathematics, Link{\"o}ping University",
address = "S--58183~Link{\"o}ping, Sweden"
}
@article{ipm:Evtushenko1,
author = "Yu. G. Evtushenko and V. G. Zhadan",
title = "Stable barrier--projection and barrier--{Newton} methods in linear
programming",
journal = "Computational Optimization and Applications",
volume = "3",
year = "1994",
pages = "289--303",
note = "See also Evtushenko and Zhadan \cite{ipm:Evtushenko4}"
}
@article{ipm:Evtushenko2,
author = "Yu. G. Evtushenko and V. G. Zhadan",
title = "Stable barrier--projection and barrier--{Newton} methods in
nonlinear programming",
journal = "Optimization Methods and Software",
volume = "3",
year = "1994",
pages = "237--256",
note = "See also Evtushenko and Zhadan \cite{ipm:Evtushenko4}"
}
@incollection{ipm:Evtushenko3,
author = "Yu. G. Evtushenko and V. G. Zhadan",
title = "{Barrier--Newton} methods in linear programming",
booktitle = "System Modelling and Optimization (Proceedings of the 16th
IFIP--TC7 Conference, Compiegne, France, July 1993)",
year = "1994",
pages = "215--224",
editor = "J. Henry and J. P. Yvon",
series = "Lecture Notes in Control and Information Sciences",
volume = "197",
publisher = "Springer Verlag",
address = "Berlin, Germany"
}
@incollection{ipm:Evtushenko4,
author = "Yu. G. Evtushenko and V. G. Zhadan",
title = "Stable barrier--projection and barrier--{Newton} methods for
linear and nonlinear programming",
booktitle = "Algorithms for Continuous Optimization\,: The
State--of--the--Art (Il Ciocco, Barga, Italy, September 1993)",
editor = "E. Spedicato",
year = "1994",
pages = "255--285",
series = "NATO Adavanced Science Institute Series C\,: Mathematical and
Physical Sciences",
volume = "434",
publisher = "Kluwer Academic Publishers",
address = "Dordrecht, The Netherlands",
note = "See also Evtushenko and Zhadan \cite{ipm:Evtushenko1,ipm:Evtushenko2}"
}
@incollection{ipm:Evtushenko5,
author = "Yu. G. Evtushenko and V. G. Zhadan",
title = "Dual barrier--projection methods in linear programming",
booktitle = "Recent Trends in Optimization Theory and Applications",
editor = "R. P. Agarwal",
year = "1995",
pages = "51--66",
series = "World Science Series in Applied Analysis",
volume = "5",
publisher = "World Science Publishing",
address = "River Edge, NJ, USA",
}
@article{ipm:Evtushenko6,
author = "Yu. G. Evtushenko and V. G. Zhadan and A. P. Cherenkov",
title = "Application of {Newton's} method to the solution of linear
programming problems",
journal = "Zhurnal Vychislitel'noi Matematiki~i~ Matematicheskoi
Fiziki (Moscow)",
volume = "35",
year = "1995",
pages = "850--866",
note = "Translated in\,: {\em USSR Computational Mathematics and
Mathematical Physics}, 35:673--686, 1995"
}
@article{ipm:Evtushenko7,
author = "Yu. G. Evtushenko and V. G. Zhadan",
title = "Dual barrier--projection and {barrier--Newton} methods for linear
programming problems",
journal = "Zhurnal Vychislitel'noi Matematiki~i~ Matematicheskoi
Fiziki (Moscow)",
volume = "36",
number = "7",
year = "1996",
pages = "30--45",
note = "(In Russian)"
}
@article{ipm:Evtushenko8,
author = "Yu. G. Evtushenko and V. G. Zhadan",
title = "On some papers on interior point methods",
journal = "Zhurnal Vychislitel'noi Matematiki~i~ Matematicheskoi
Fiziki (Moscow)",
volume = "36",
number = "12",
year = "1996",
pages = "161--162",
note = "(In Russian)"
}
@article{ipm:Ezzine1,
author = "J. Ezzine and M. Ben--Daya",
title = "Singular pertubed nonlinear {ODE}s and interior point
optimization algorithms",
journal = "Proceedings of the 1995 American Control Conference (Seattle,
WA, USA, June 1995)",
volume = "3",
year = "1995",
pages = "1816--1820"
}
@article{ipm:Fan1,
author = "M. K. H. Fan and B. Nekooie",
title = "A second--order interior point method for solving linear
matrix inequality problems",
journal = "Proceedings of the 1994 American Control Conference
(Baltimore, MD, USA, June/July 1994)",
volume = "1",
year = "1994",
pages = "831--835",
note = "A different title found\,: {\em An algorithm on minimizing
generalized eigenvalues with linear matrix inequality constraints}"
}
@article{ipm:Fan2,
author = "M. K. H. Fan",
title = "A second--order interior point method for solving linear matrix
inequality problems",
journal = "SIAM Journal on Control and Optimization",
volume = "",
year = "19\,?",
pages = "",
note ="(To appear)"
}
@techreport{ipm:Fang1,
author = "W. Fang and W. Shi--Quan",
title = "New algorithms for linear programming",
type = "{Technical Report}",
year = "19..(?)",
institution = "Institute of Applied Mathematics, Academia Sinica",
address = "Beijing, People Republic of China"
}
@techreport{ipm:Fang2,
author = "S.--C. Fang and S. C. Puthenpura and R. Saigal and P. Sinha",
title = "Stochastic linear programming via affine scaling and {Kalman}",
type = "{Technical Memorandum}",
number = "51173--900808--01~TM",
year = "1989",
institution = "AT~\&~T Bell Laboratories",
address = "Holmdel, NJ~07733, USA"
}
@article{ipm:Fang3,
author = "S.--C. Fang",
title = "A new unconstrained convex programming approach to linear
programming",
journal = "Zeitschrift f{\"u}r Operations Research---Methods and Models
of Operations Research",
volume = "36",
number = "2",
year = "1992",
pages = "149--161"
}
@book{ipm:Fang4,
author = "S.--C. Fang and S. Puthenpura",
title = "Linear Optimization and Extensions",
chapter = "6\,: {Karmarkar's} projective scaling algorithm, chapter 7\,:
{Affine} scaling algorithm, chapter 8\,: {Insights} into the
interior--point methods, chapter 9\,: {Affine} scaling for convex quadratic
programming, chapter 10\,: {Implementation of interior--point methods}",
year = "1993",
publisher = "Prentice Hall",
address = "Englewood Cliffs, NJ~07632, USA"
}
@techreport{ipm:Fang5,
author = "S.--C. Fang and J. H. S. Tsao",
title = "Linear programming with an entropic perturbation",
type = "{OR Research Report}",
number = "259",
year = "1991",
month = "October",
institution = "Operations Research Program, North Carolina State University",
address = "Raleigh, NC~27695, USA",
note = "To appear in {\em Zeitscrift f{\"u}r Operations Research -- Methods
and Model of Operations Research 1993}"
}
@techreport{ipm:Fang6,
author = "S.--C. Fang and J. H. S. Tsao",
title = "An unconstrained convex programming approach to solving convex
quadratic programming problems",
type = "{OR Research Report}",
number = "263",
year = "1992",
month = "April",
institution = "Operations Research Program, North Carolina State University",
address = "Raleigh, NC~27695, USA",
note = "To appear in {\em Optimization, 1992}"
}
@techreport{ipm:Fang7,
author = "S.--C. Fang and S.--Y. Wu",
title = "An inexact approach to solving linear semi--infinite programming
problems",
type = "{OR Research Report}",
number = "265",
year = "1992",
month = "November",
institution = "Operations Research Program, North Carolina State University",
address = "Raleigh, NC~27695, USA"
}
@techreport{ipm:Fang8,
author = "S.--C. Fang and S.--Y. Wu",
title = "Entropic path--following for linear semi--infinite programming",
type = "{OR Research Report}",
number = "266",
year = "1992",
month = "December",
institution = "Operations Research Program, North Carolina State University",
address = "Raleigh, NC~27695, USA"
}
@techreport{ipm:Fang9,
author = "S.--C. Fang",
title = "Dynamic facility network planning -- {An LP} loader",
type = "{Technical Memorandum}",
number = "54112--860610--01~TM",
year = "1986",
month = "June",
institution = "AT~\&~T Bell Laboratories",
address = "Holmdel, NJ~07733, USA"
}
@techreport{ipm:Fang10,
author = "S.--C. Fang",
title = "Dynamic facility network planning -- {A} solution architecture with
block {Cholesky} factorization",
type = "{Technical Memorandum}",
number = "54112--860305--01~TM",
year = "1986",
month = "March",
institution = "AT~\&~T Bell Laboratories",
address = "Holmdel, NJ~07733, USA"
}
@techreport{ipm:Fang11,
author = "S.--C. Fang and L. A. Slutsman",
title = "Dynamic facility network planning -- {Design} architecture",
type = "{Technical Memorandum}",
number = "54112--860226--01~TM",
year = "1986",
month = "February",
institution = "AT~\&~T Bell Laboratories",
address = "Holmdel, NJ~07733, USA"
}
@techreport{ipm:Fang12,
author = "S.--C. Fang and L. A. Slutsman",
title = "Dynamic facility network planning -- {Modeling}",
type = "{Technical Memorandum}",
number = "54112--850915--01~TM",
year = "1985",
month = "September",
institution = "AT~\&~T Bell Laboratories",
address = "Holmdel, NJ~07733, USA"
}
@article{ipm:Fang13,
author = "S.--C. Fang and H. S. J. Tsao",
title = "On the entropic perturbation and exponential penalty methods for
linear programming",
journal = "Journal of Optimization Theory and Applications",
volume = "89",
year = "1996",
pages = "461--466"
}
@article{ipm:Farrell1,
author = "J. J. Farrell",
title = "Recent advances in linear programming applied to global defense",
journal = "Proceedings of the 27th IEEE Conference on Decision and Control,
Austin, TX, USA",
year = "1988",
month = "December",
pages = "242--243"
}
@techreport{ipm:Fask1,
author = "A. Fask and W. F. Walker",
title = "A polynomial--time algorithm for solving transportation problems
where the sources are bounded",
type = "{Talk held at ORSA/TIMS Joint National Meeting in New Orleans, USA}",
year = "1987",
month = "May",
institution = "Farleigh Dickinson University",
address = "Madison, NJ~07940, USA"
}
@article{ipm:Faybusovich1,
author = "L. E. Faybusovich",
title = "Interior--point methods and entropy",
journal = "Proceedings of the 30th IEEE Conference on Decision and
Control (Brighton, United Kingdom, December 1991)",
year = "1991",
volume = "3",
pages = "2094--2095"
}
@incollection{ipm:Faybusovich2,
author = "L. E. Faybusovich",
title = "Dikin's algorithm for matrix linear programming problems",
booktitle = "System Modelling and Optimization (Proceedings of the 16th
IFIP--TC7 Conference, Compiegne, France, July 1993)",
year = "1994",
pages = "237--247",
editor = "J. Henry and J. P. Yvon",
series = "Lecture Notes in Control and Information Sciences",
volume = "197",
publisher = "Springer Verlag",
address = "Berlin, Germany"
}
@article{ipm:Faybusovich3,
author = "L. E. Faybusovich",
title = "A {Hamiltonian} structure for generalized affine--scaling
vector fields",
journal = "Journal on Nonlinear Sciences",
volume = "5",
year = "1995",
pages = "11--28"
}
@article{ipm:Faybusovich4,
author = "L. E. Faybusovich and J. B. Moore",
title = "Infinite--dimensional quadratic optimization\,: {Interior}--point
methods and control applications",
journal = "Applied Mathematics and Optimization",
volume = "36",
year = "1997",
pages = "43--66"
}
@article{ipm:Faybusovich5,
author = "L. E. Faybusovich",
title = "On a matrix generalization of affine--scaling vector fields",
journal = "SIAM Journal on Matrix Analysis and Applications",
volume = "16",
year = "1995",
pages = "886--897"
}
@incollection{ipm:Faybusovich6,
author = "L. E. Faybusovich",
title = "The {Gibbs} variational principle, gradient floes and
interior--point methods",
booktitle = "Hamiltonian and Gradient Flows, Algorithms and Control",
editor = "A. Bloch",
year = "1994",
pages = "99--111",
series = "Fields Institute Communications Series",
volume = "3",
publisher = "American Mathematical Society",
address = "Providence, Rhode Island, USA"
}
@techreport{ipm:Faybusovich7,
author = "L. E. Faybusovich",
title = "Jordan algebras, symmetric cones and interior--point methods",
type = "{Research Report}",
year = "1995",
month = "November",
institution = "Department of Mathematics, University of Notre Dame",
address = "Notre Dame, IN~46556, USA"
}
@article{ipm:Faybusovich8,
author = "L. E. Faybusovich",
title = "Semidefinite programming\,: {A} path--following algorithm for a
linear--quadratic functional",
journal = "SIAM Journal on Optimization",
volume = "6",
year = "1996",
pages = "1007--1024"
}
@incollection{ipm:Faybusovich9,
author = "F. Faybusovich",
title = "On the phase portrait of the {Karmarkar's} flow",
booktitle = "Computation and Control\,III (Proceedings of the Third Bozeman
Conference, Bozeman, MT, USA, August 1992",
editor = "K. L. Bowers",
year = "1993",
pages = "203--210",
series = "Progress in Systems and Control Theory",
volume = "15",
publisher = "Birkh{\"a}user Verlag",
address = "Basel, Switzerland"
}
@article{ipm:Faybusovich10,
author = "L. E. Faybusovich and J. B. Moore",
title = "Long step path--following algorithm for the convex quadratic
programming in a {Hilbert} space",
journal = "Journal of Optimization Theory and Applications",
volume = "95",
year = "1997",
pages = "615--636",
note = "Also published in\,: {\em Proceedings of the 34th IEEE Conference
on Decision and Control, Part 2/4 (1995), pp.\,1109--1114}"
}
@techreport{ipm:Faybusovich11,
author = "L. E. Faybusovich",
title = "Linear systems in Jordan algebras and primal--dual
interior--point algorithms",
type = "{Research Report}",
year = "1996",
month = "August",
institution = "Department of Mathematics, University of Notre Dame",
address = "Notre Dame, IN~46556, USA"
}
@incollection{ipm:Faybusovich12,
author = "L. E. Faybusovich",
title = "Infinite--dimensional semidefinite programming\,: {Regularized}
determinants and self--concordant barriers",
booktitle = "Topics in Semidefinite and Interior--Point Methods",
editor = "P. M. Pardalos and M. Wolkowicz",
year = "1998",
pages = "39--49",
series = "Fields Institute Communications Series",
volume = "18",
publisher = "American Mathematical Society (AMS)",
address = "Providence, RI, USA"
}
@techreport{ipm:Faybusovich13,
author = "L. E. Faybusovich",
title = "{Euclidean Jordan} algebras and interior--point methods",
type = "{Research Report}",
year = "1997",
month = "June",
institution = "Department of Mathematics, University of Notre Dame",
address = "Notre Dame, IN~46556, USA"
}
@techreport{ipm:Faybusovich14,
author = "L. E. Faybusovich",
title = "Euclidean Jordan algebras and generalized affine--scaling
vector fields",
type = "{Research Report}",
year = "1998",
month = "January",
institution = "Department of Mathematics, University of Notre Dame",
address = "Notre Dame, IN~46556, USA"
}
@techreport{ipm:Faybusovich15,
author = "L. E. Faybusovich",
title = "A {Jordan}--algebraic approach to potential--reduction
algorithms",
type = "{Research Report}",
year = "1998",
month = "April",
institution = "Department of Mathematics, University of Notre Dame",
address = "Notre Dame, IN~46556, USA"
}
@techreport{ipm:Facchinei1,
author = "F. Facchineiand A. Fischer and C. Kanzow",
title = "On the identification of zero variables in an
interior--point framework",
type = "{Mathematical Programming Technical Report}",
year = "1998",
month = "May",
institution = "Department of Computer Sciences, University of
Wisconsin",
address = "Madison, WI~53706, USA"
}
@article{ipm:Feijoo1,
author = "B. Feijoo and A. Sanchez and C. C. Gonzaga",
title = "Maintaining closeness to the analytic center of a polytope by
perturbing added hyperplanes",
journal = "Applied Mathematics and Optimization",
volume = "35",
year = "1997",
pages = "139--144"
}
@techreport{ipm:Feijoo2,
author = "B. Feijoo and A. Sanchez and C. C. Gonzaga",
title = "Interior post--optimality techniques for linear programming\,:
{Method} of centers",
type = "{Working Paper}",
year = "1994",
institution = "Departamento de Matematicas Puras y Aplicadas, Universidad
Simon Bolivar",
address = "Apartado Postal~89000, Caracas~1080~A, Venezuela"
}
@incollection{ipm:Feng1,
author = "G. Feng and B. Yu",
title = "Combined homotopy interior point method for nonlinear programming
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year = "1995",
pages = "9--16",
editor = "T. Ushijima",
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volume = "14",
}
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year = "1996",
pages = "49--77"
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volume = "39",
year = "1988",
pages = "257--270"
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author = "M. C. Ferris and A. B. Philpott",
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journal = "Mathematical Programming",
volume = "43",
year = "1989",
pages = "257--276"
}
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author = "M. C. Ferris and A. B. Philpott",
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journal = "Mathematical Programming",
volume = "52",
year = "1992",
pages = "361--364"
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author = "A. V. Fiacco and G. P. McCormick",
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}
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author = "A. V. Fiacco and J. Lin",
title = "Extension of algorithmic sensitivity calculations in
nonlinear programming using barrier and penalty functions",
type = "{Technical Report}",
year = "1994",
institution = "School of Engineering and Applied Science, Department of
Operations Research, The George Washington University",
address = "Washington, D.C.~20052, USA",
note = "To appear in {\em Optimization}"
}
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author = "A. V. Fiacco",
title = "Objective function and logarithmic barrier function properties in
convex programmong\,: {Level} sets, solution attainment and strict
convexity",
journal = "Optimization",
volume = "34",
year = "1995",
pages = "213--222"
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author = "A. Fischer",
title = "On the local superlinear convergence of {Newton}--type method
for {LCP} under weak conditions",
journal = "Optimization Methods and Software",
volume = "6",
year = "1995",
pages = "83--107"
}
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author = "R. Fletcher",
title = "Recent developments in linear and quadratic programming",
booktitle = "The State--of--the--Art in Numerical Analysis",
publisher = "Oxford University Press",
address = "Oxford",
editor = "A. Iserles and M. J. D. Powell",
year = "1987",
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}
@inbook{ipm:Fletcher2,
author = "R. Fletcher",
title = "Practical Methods of Optimization",
chapter = "8.7\,: {Polynomial} time algorithms",
pages = "183--188",
publisher = "John Wiley\,\&\,Sons",
address = "New York",
edition = "second",
year = "1987"
}
@techreport{ipm:Fliege1,
author = "J. Fliege and S. Nickel",
title = "An interior point method for multifacility location problems with
forbidden regions",
type = "{Ergebnisberichte Angewandte Mathematik}",
number = "142",
year = "1997",
institution = "Institut f{\"u}r Mathematik, Universit{\"a}t Dortmund",
address = "Vogelpothsweg~64, Dortmund, Germany"
}
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author = "J. J. H. Forrest and J. A. Tomlin",
title = "Vector processing in simplex and interior methods for linear
programming",
journal = "Annals of Operations Research",
volume = "22",
year = "1990",
pages = "71--100"
}
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author = "J. J. H. Forrest and J. A. Tomlin",
title = "Implementing interior point linear programming methods in the
{Optimization Subroutine Library (OSL)}",
journal = "IBM Systems Journal",
volume = "31",
number = "1",
year = "1992",
pages = "26--38"
}
@techreport{ipm:Forsgren1,
author = "A. L. Forsgren and W. Murray",
title = "Newton methods for large--scale linear equality--constrained
minimization",
type = "{Technical Report}",
number = "SOL~90--6",
year = "1990",
institution = "Systems Optimization Laboratory, Department of Operations
Research, Stanford University",
address = "Stanford, CA~94305, USA"
}
@techreport{ipm:Forsgren2,
author = "A. L. Forsgren",
title = "On linear least--squares problems with diagonally dominant weight
matrices",
type = "{Technical Report}",
number = "{TRITA--MAT--1995--OS2}",
year = "1995",
institution = "Optimization and Systems Theory, Department of Mathematics,
Royal Institute of Technology",
address = "S--10044 Stockholm, Sweden"
}
@article{ipm:Forsgren3,
author = "A. L. Forsgren and P. E. Gill and J. R. Shinnerl",
title = "Stability of symmetric ill--conditioned systems arising in
interior methods for constrained optimization",
journal = "SIAM Journal on Matrix Analysis and Applications",
volume = "17",
year = "1996",
pages = "187--211"
}
@article{ipm:Forsgren4,
author = "A. L. Forsgren and P. E. Gill",
title = "Primal-dual interior methods for nonconvex nonlinear
programming",
journal = "SIAM Journal on Optimization",
volume = "8",
year = "1998",
pages = "1132--1152"
}
@techreport{ipm:Forsgren5,
author = "A. L. Forsgren",
title = "Optimality conditions for nonconvex semidefinite programming",
type = "{Technical Report}",
number = "{TRITA--MAT--1998--OS6}",
year = "1998",
month = "May",
institution = "Optimization and Systems Theory, Department of Mathematics,
Royal Institute of Technology",
address = "S--10044 Stockholm, Sweden"
}
@techreport{ipm:Fourer1,
author = "R. Fourer and S. Mehrotra",
title = "Performance of an augmented system approach for solving
least--squares problems in an interior--point method for linear programming",
type = "{Technical Report (in preparation)}",
year = "1991",
institution = "Department of Industrial Engineering and Management
Sciences, Northwestern University",
address = "Evanston, IL~60208, USA"
}
@article{ipm:Fourer2,
author = "R. Fourer and S. Mehrotra",
title = "Performance of an augmented system approach for solving
least--squares problems in an interior--point method for linear programming",
journal = "Mathematical Programming Society Committee on Algorithms (COAL)
Newsletter",
volume = "19",
year = "1991",
month = "August",
pages = "26--31"
}
@article{ipm:Fourer3,
author = "R. Fourer and S. Mehrotra",
title = "Solving symmetric indefinite systems in an interior--point
method for linear programming",
journal = "Mathematical Programming",
volume = "62",
year = "1993",
pages = "15--39"
}
@techreport{ipm:Fragniere1,
author = "E. Fragniere and J. Gondzio and R.Sarkissian",
title = "Structure exploiting tool in algebraic modeling languages",
type = "{Technical Report}",
number = "1997.2",
year = "1997",
month = "June",
institution = "Department of Management Studies, University of Geneva",
address = "CH--1211 Geneva, Switzerland"
}
@techreport{ipm:Fragniere2,
author = "E. Fragniere and J. Gondzio and J.--Ph. Vial",
title = "A planning model with one million scenarios solved on an
affordable parallel machine",
type = "{Logilab Technical Report}",
number = "1998.11",
year = "1998",
month = "June",
institution = "Department of Management Studies, University of Geneva",
address = "102 Bd Carl Vogt, CH--1211 Geneva, Switzerland"
}
@article{ipm:Fraley1,
author = "C. Fraley",
title = "Linear updates for a single\,--\,phase projective method",
journal = "Operations Research Letters",
volume = "9",
year = "1990",
pages = "169--174"
}
@techreport{ipm:Fraley2,
author = "C. Fraley and J.--Ph. Vial",
title = "Single\,--\,phase versus multiple\,--\,phase projective methods for
linear programming",
type = "{Technical Report}",
year = "1989",
institution = "COMIN, University of Geneva",
address = "2~Rue de Candolle, CH--1211~Geneva~4, Switzerland"
}
@incollection{ipm:Fraley3,
author = "C. Fraley and J.--Ph. Vial",
title = "Numerical study of projective methods for linear programming",
booktitle = "Optimization\,: Proceedings of the 5th French--German
Conference in Castel--Novel, Varetz, France, October 1988",
editor = "S. Dolecki",
year = "1989",
pages = "25--38",
series = "Lecture Notes in Mathematics",
volume = "1405",
publisher = "Springer Verlag",
address = "Berlin, Germany"
}
@techreport{ipm:Fraley4,
author = "C. Fraley",
title = "Computational aspects of some projective methods for linear
programming",
type = "{Working Paper}",
year = "1988",
institution = "COMIN, University of Geneva",
address = "2~Rue de Candolle, CH--1211~Geneva~4, Switzerland"
}
@article{ipm:Fraley5,
author = "C. Fraley and J.--Ph. Vial",
title = "Alternative approaches to feasibility in projective methods
for linear programming",
journal = "ORSA Journal on Computing",
volume = "4",
year = "1992",
pages = "285--299"
}
@article{ipm:Franklin1,
author = "J. Franklin",
title = "Convergence in {Karmarkar's} algorithm for linear programming",
journal = "SIAM Journal on Numerical Analysis",
volume = "24",
year = "1987",
pages = "928--945"
}
@techreport{ipm:Freedman1,
author = "B. A. Freedman and S. C. Puthenpura and L. P. Sinha",
title = "A new affine scaling based algorithm for optimizing convex,
nonlinear functions with linear constraints",
type = "{Technical Report}",
year = "1990",
institution = "AT~\&~T Bell Laboratories",
address = "Holmdel, NJ~07733, USA"
}
@techreport{ipm:Freedman2,
author = "B. A. Freedman and S. C. Puthenpura and L. P. Sinha",
title = "A new {Karmarkar}--based algorithm for optimizing convex,
nonlinear functions with linear constraints",
type = "{Technical Report}",
year = "1988",
institution = "AT~\&~T Bell Laboratories",
address = "Holmdel, NJ~07733, USA"
}
@article{ipm:Frenk1,
author = "J. B. G. Frenk and J. F. Sturm and S. Zhang",
title = "An interior--point subgradient method for linearly constrained
nondifferentiable convex programming",
journal = "Optimization Methods and Software",
volume = "10",
year = "1998",
pages = "197--215"
}
@article{ipm:Freund1,
author = "R. M. Freund",
title = "An analogous of {Karmarkar's} algorithm for inequality constrained
linear programs, with a 'new' class of projective transformations for
centering a polytope",
journal = "Operations Research Letters",
volume = "7",
year = "1988",
pages = "9--13"
}
@article{ipm:Freund2,
author = "R. M. Freund",
title = "Polynomial--time algorithms for linear programming based only on
primal scaling and projected gradients of a potential function",
journal = "Mathematical Programming",
volume = "51",
year = "1991",
pages = "203--222"
}
@techreport{ipm:Freund3,
author = "R. M. Freund",
title = "A generalization/extension of {Karmarkar's} algorithm for
inequality constrained linear programs based on projective centering of the
polyhedra",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Washington,
DC, USA}",
year = "1988",
month = "April",
institution = "Sloan School of Management, Massachusetts Institute of
Technology",
address = "Cambridge, MA~02139, USA"
}
@techreport{ipm:Freund4,
author = "R. M. Freund",
title = "Projective transformations for finding the w--center of a
polyhedra",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Denver, CO,
USA}",
year = "1988",
month = "October",
institution = "Sloan School of Management, Massachusetts Institute of
Technology",
address = "Cambridge, MA~02139, USA"
}
@techreport{ipm:Freund5,
author = "R. M. Freund",
title = "Projective transformations for interior point methods,
{Part\,I\,: Basic} theory and linear programming",
type = "{Working Paper}",
number = "2049--88",
year = "1988",
month = "October",
institution = "Sloan School of Management, Massachusetts Institute of
Technology",
address = "Cambridge, MA~02139, USA"
}
@techreport{ipm:Freund6,
author = "R. M. Freund",
title = "Projective transformations for interior point methods,
{Part\,II\,: Analysis} of an algorithm for finding the weighted center of a
polyhedral system",
type = "{Working Paper}",
number = "2050--88",
year = "1988",
month = "October",
institution = "Sloan School of Management, Massachusetts Institute of
Technology",
address = "Cambridge, MA~02139, USA"
}
@article{ipm:Freund7,
author = "R. M. Freund",
title = "Theoretical efficiency of a shifted barrier function algorithm for
linear programming",
journal = "Linear Algebra and Its Applications",
volume = "152",
year = "1991",
pages = "19--41"
}
@article{ipm:Freund8,
author = "R. M. Freund",
title = "A potential--function reduction algorithm for solving a linear
program directly from an infeasible 'warm start'",
journal = "Mathematical Programming",
volume = "52",
year = "1991",
pages = "441--466"
}
@techreport{ipm:Freund9,
author = "R. M. Freund",
title = "Theoretical efficiency of solving a linear program from an
infeasible 'warm start'",
type = "{Talk held at the First International Symposium on Interior Point
Methods for Linear Programming\,: Theory and Practice, in Scheveningen, The
Netherlands}",
year = "1990",
month = "January",
institution = "Sloan School of Management, Massachusetts Institute of
Technology",
address = "Cambridge, MA~02139, USA"
}
@techreport{ipm:Freund10,
author = "R. M. Freund",
title = "Interior point algorithms for solving a linear program directly
from an infeasible 'warm start'",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Las Vegas, NV,
USA}",
year = "1990",
month = "May",
institution = "Sloan School of Management, Massachusetts Institute of
Technology",
address = "Cambridge, MA~02139, USA"
}
@techreport{ipm:Freund11,
author = "R. M. Freund",
title = "Recent results and perspectives on solving linear programming from
an infeasible 'warm start'",
type = "{Talk held at the SIAM Annual Meeting in Chicago, IL, USA}",
year = "1990",
month = "July",
institution = "Sloan School of Management, Massachusetts Institute of
Technology",
address = "Cambridge, MA~02139, USA"
}
@techreport{ipm:Freund12,
author = "R. M. Freund",
title = "Newton's method for general parametric center problems",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Philadelphia,
PA, USA}",
year = "1990",
month = "October",
institution = "Sloan School of Management, Massachusetts Institute of
Technology",
address = "Cambridge, MA~02139, USA"
}
@article{ipm:Freund13,
author = "R. M. Freund and K. C. Tan",
title = "A method for the parametric center problem, with a strictly
monotone polynomial--time algorithm for linear programming",
journal = "Mathematics of Operations Research",
volume = "16",
number = "4",
year = "1991",
pages = "775--801"
}
@techreport{ipm:Freund14,
author = "R. M. Freund and K. C. Tan",
title = "A parametric center algorithm and a strictly monotonic central path
algorithm for {LP}",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in New York, NY,
USA}",
year = "1989",
month = "October",
institution = "Sloan School of Management, Massachusetts Institute of
Technology",
address = "Cambridge, MA~02139, USA"
}
@techreport{ipm:Freund15,
author = "R. M. Freund and K. C. Tan",
title = "Newton's method for parametric center problems",
type = "{Talk held at the SIAM Annual Meeting in Chicago, IL, USA}",
year = "1990",
month = "July",
institution = "Sloan School of Management, Massachusetts Institute of
Technology",
address = "Cambridge, MA~02139, USA"
}
@techreport{ipm:Freund16,
author = "R. M. Freund",
title = "Interior--point methods for linear programming\,: {A} status
report",
type = "{Tutorial held at the ORSA/TIMS Joint National Meeting in
Nashville, Tennessee, USA}",
year = "1991",
month = "May",
institution = "Sloan School of Management, Massachusetts Institute of
Technology",
address = "Cambridge, MA~02139, USA"
}
@techreport{ipm:Freund17,
author = "R. M. Freund",
title = "Projective transformations for interior point algorithms, a
superlinearly convergent algorithm for the w--center problem",
type = "{Working Paper}",
year = "1989",
institution = "Sloan School of Management, Massachusetts Institute of
Technology",
address = "Cambridge, MA~02139, USA",
note = "To appear in {\em Mathematical Programming}"
}
@techreport{ipm:Freund18,
author = "R. M. Freund",
title = "A combined {phase\,I\,--\,phase\,II} algorithm for {LP} based on
the intuitive geometry of linear programming",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Anaheim, CA,
USA}",
year = "1991",
month = "November",
institution = "Sloan School of Management, Massachusetts Institute of
Technology",
address = "Cambridge, MA~02139, USA"
}
@techreport{ipm:Freund19,
author = "R. M. Freund",
title = "Pre--selection of the {phase\,I\,--\,phase\,II} balance in a
path--following algorithm for the 'warm start' linear programming problem",
type = "{Talk held at the Fourth SIAM Conference on Optimization in Chicago,
IL, USA}",
year = "1992",
month = "May",
institution = "Sloan School of Management, Massachusetts Institute of
Technology",
address = "Cambridge, MA~02139, USA"
}
@article{ipm:Freund20,
author = "R. M. Freund",
title = "A potential reduction algorithm with user--specified
{phase\,I\,---\,phase\,II} balance for solving a linear program from an
infeasible warm start",
journal = "SIAM Journal on Optimization",
volume = "5",
year = "1995",
pages = "247--268"
}
@techreport{ipm:Freund21,
author = "R. M. Freund and K. C. Tan",
title = "Newton's method for the general parametric centering problem with
applications",
type = "{Working Paper}",
year = "1990",
institution = "Sloan School of Management, Massachusetts Institute of
Technology",
address = "Cambridge, MA~02139, USA",
note = "To appear in {\em Mathematical Programming}"
}
@techreport{ipm:Freund22,
author = "R. M. Freund",
title = "Projective transformations for interior point algorithms",
type = "{Talk held at the AMS--ISM--SIAM Research Conference on
''Mathematical Developments Arising from Linear Programming'' in Bowdoin
College, Brunswick, Maine, USA}",
year = "1988",
month = "June",
institution = "Sloan School of Management, Massachusetts Institute of
Technology",
address = "Cambridge, MA~02139, USA"
}
@techreport{ipm:Freund23,
author = "R. M. Freund",
title = "Computational complexity of tracing the path of centers of a linear
inequality system as the data for the system is parametrically deformed",
type = "{Talk held at the Workshop on Complexity Issues for Numerical
Optimization, Cornell University, Ithaca, NY, USA}",
year = "1991",
month = "March",
institution = "Sloan School of Management, Massachusetts Institute of
Technology",
address = "Cambridge, MA~02139, USA"
}
@techreport{ipm:Freund24,
author = "R. M. Freund",
title = "Algorithms for solving a linear program from infeasible warm start
based on the intuitive geometrics of {LP}",
type = "{Talk held at the 14th International Mathematical Programming
Symposium in Amsterdam, The Netherlands}",
year = "1991",
month = "August",
institution = "Sloan School of Management, Massachusetts Institute of
Technology",
address = "Cambridge, MA~02139, USA"
}
@techreport{ipm:Freund25,
author = "R. M. Freund",
title = "Solving a linear program from an infeasible warm start\,:
{Conceptual} issues, theory, and a new interior point algorithm",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Anaheim, CA,
USA}",
year = "1991",
month = "November",
institution = "Sloan School of Management, Massachusetts Institute of
Technology",
address = "Cambridge, MA~02139, USA"
}
@techreport{ipm:Freund26,
author = "R. M. Freund",
title = "Following a trajectory from an infeasible point to an optimal
linear programming solution",
type = "{Talk held at the Fourth SIAM Conference on Optimization in
Chicago, IL, USA}",
year = "1992",
month = "May",
institution = "Sloan School of Management, Massachusetts Institute of
Technology",
address = "Cambridge, MA~02139, USA"
}
@article{ipm:Freund27,
author = "R. M. Freund and M. J. Todd",
title = "Barrier functions and interior--point algorithms for linear
programming with zero--, one--, or two--sided bounds of the variables",
journal = "Mathematics of Operations Research",
volume = "20",
year = "1995",
pages = "415--440"
}
@article{ipm:Freund28,
author = "R. M. Freund",
title = "Projective transformations for interior--point algorithms,
and a superlinearly convergent algorithm for the w--center problem",
journal = "Mathematical Programming",
volume = "58",
year = "1993",
pages = "385--414",
note = "Amalgamation of Freund \cite{ipm:Freund5,ipm:Freund6}"
}
@article{ipm:Freund29,
author = "R. M. Freund",
title = "An infeasible--start algorithm for linear programming whose
complexity depends on the distance from the starting point to the optimal
solution",
journal = "Annals of Operations Research",
volume = "62",
year = "1996",
pages = "29--57"
}
@techreport{ipm:Freund30,
author = "R. M. Freund",
title = "Complexity of an algorithm for finding an approximate solution of
a semi--definite program, with no regularity condition",
type = "{Working Paper}",
number = "OR--302--94",
year = "1994",
institution = "Operations Research Center, Massachusetts Institute of
Technology",
address = "Cambridge, MA~02139, USA"
}
@techreport{ipm:Freund31,
author = "R. M. Freund and H. K. Wadhwa",
title = "Implementation and empirical study of a combined
{phase\,I\,--\,phase\,II} potential reduction algorithm for linear
programming",
type = "{Working Paper}",
number = "3411--92",
year = "1992",
month = "March",
institution = "Sloan School of Management, Massachusetts Institute of
Technology",
address = "Cambridge, MA~02139, USA"
}
@techreport{ipm:Freund32,
author = "R. M. Freund and J. R. Vera",
title = "Some characterizations and properties of the distance to
ill--posedness and the condition measure of a conic linear system",
type = "{Sloan Working Paper}",
number = "3862--95--MSA",
year = "1995",
month = "November",
institution = "Sloan School of Management, Massachusetts Institute of
Technology",
address = "Cambridge, MA~02139, USA",
note = "Submitted to {\em Mathematical Programming}"
}
@techreport{ipm:Freund33,
author = "R. M. Freund and M. A. Nunez",
title = "Condition measures and properties of the central trajectory of a
linear program",
type = "{Sloan Working Paper}",
number = "",
year = "1996",
month = "March",
institution = "Sloan School of Management, Massachusetts Institute of
Technology",
address = "Cambridge, MA~02139, USA",
note = "Submitted to {\em Mathematical Programming}. Identical version to
Nunez and Freund \cite{ipm:Nunez2}"
}
@article{ipm:Freund34,
author = "K. M. Anstreicher and R. M. Freund",
title = "Following a ''balanced'' trajectory from an infeasible point to an
optimal linear programming solution with a polynomial--time algorithm",
journal = "Mathematics of Operations Research",
volume = "21",
year = "1996",
pages = "839--859"
}
@article{ipm:Freund35,
author = "R. M. Freund and S. Mizuno",
title = "Interior point methods\,: {Current} status and future directions",
journal = "Optima (The Mathematical Programming Society Newsletter)",
volume = "51",
year = "1996",
pages = "1--9"
}
@techreport{ipm:Freund36,
author = "R. M. Freund and J. Vera",
title = "Condition--based complexity of convex optimization in conic
linear form via the ellipsoid algorithm",
type = "{Technical Report}",
number = "",
year = "1997",
month = "September",
institution = "Operations Research Center, Massachusetts Institute of
Technology",
address = "Cambridge, MA~02139, USA"
}
@techreport{ipm:RFreund1,
author = "R. W. Freund and F. Jarre",
title = "An interior--point method for convex fractional programming",
type = "{AT \& T Numerical Analysis Manuscript}",
number = "93--03",
year = "1993",
month = "May",
institution = "AT{\&}T Bell Laboratories",
address = "Murray Hill, NJ~07974, USA"
}
@article{ipm:RFreund2,
author = "R. W. Freund and F. Jarre",
title = "An interior--point method for multi--fractional programming
with convex constraints",
journal = "Journal of Optimization Theory and Applications",
volume = "85",
year = "1995",
pages = "125--161"
}
@techreport{ipm:RFreund3,
author = "R. W. Freund and F. Jarre",
title = "On the complexity of convex fractional programs",
type = "{Technical Report (in preparation)}",
year = "1993",
institution = "AT{\&}T Bell Laboratories",
address = "Murray Hill, NJ~07974, USA"
}
@article{ipm:RFreund4,
author = "R. W. Freund and F. Jarre",
title = "An interior--point method for fractional programs with convex
constraints",
journal = "Mathematical Programming",
year = "1994",
pages = "407--440",
note = "See also {\em Zeitschrift f{\"u}r Angewandte Mathematik und
Mechanik 74(1994), T523--T525}"
}
@techreport{ipm:RFreund5,
author = "R. W. Freund and F. Jarre and S. Schaible",
title = "On interior--point methods for fractional programs and their
convex reformulation",
type = "{AT \& T Numerical Analysis Manuscript}",
number = "94--17",
year = "1994",
institution = "AT{\&}T Bell Laboratories",
address = "Murray Hill, NJ~07974, USA"
}
@article{ipm:RFreund6,
author = "R. W. Freund and F. Jarre",
title = " A {QMR}--based interior--point algorithm for solving linear
programs",
journal = "Mathematical Programming",
volume = "76",
year = "1997",
pages = "183--210"
}
@article{ipm:RFreund7,
author = "R. W. Freund and F. Jarre and S. Schaible",
title = "On self--concordant barrier functions for conic hulls and
fractional programming",
journal = "Mathematical Programming",
volume = "74",
year = "1996",
pages = "237--246"
}
@techreport{ipm:RFreund8,
author = "R. W. Freund and F. Jarre and S. Mizuno",
title = "Convergence of a class of inexact interior--point algorithms for
linear program",
type = "{Numerical Analysis Manuscript}",
number = "97--3--11",
year = "1997",
month = "October",
institution = "AT{\&}T Bell Laboratories",
address = "Murray Hill, NJ~07974, USA"
}
@article{ipm:Fricker1,
author = "F. Fricker",
title = "{Komplexe Optimierungsaufgaben schneller l{\"o}sen~(Solving
complex optimization problems faster)}",
journal = "Frankfurter Allgemeine Zeitung, Sektion\,: Natur und Wissen",
year = "1985",
month = "March 27,",
note = "(In German)"
}
@techreport{ipm:Frisch1,
author = "K. R. Frisch",
title = "The logarithmic potential method for convex programming",
type = "Unpublished manuscript",
year = "1955",
month = "May",
institution = "Institute of Economics, University of Oslo",
address = "Oslo, Norway"
}
@article{ipm:Frisch2,
author = "K. R. Frisch",
title = "The multiplex method for linear programming",
journal = "Sankhya",
volume = "18",
year = "1957",
pages = "329--362"
}
@techreport{ipm:Frisch3,
author = "K. R. Frisch",
title = "Principles of linear programming---{With} a particular reference to
the double gradient form of the logarithmic potential method",
type = "Memorandum",
year = "1954",
month = "October",
institution = "Institute of Economics, University of Oslo",
address = "Oslo, Norway"
}
@techreport{ipm:Frisch4,
author = "K. R. Frisch",
title = "Linear dependencies and a mechanized form of the multiplex
method for linear programming",
type = "Memorandum",
year = "1957",
institution = "Institute of Economics, University of Oslo",
address = "Oslo, Norway"
}
@techreport{ipm:Frisch5,
author = "K. R. Frisch",
title = "Principles of linear programming--the double gradient form of the
logarithmic potential method",
type = "Memorandum",
year = "1954",
month = "October",
institution = "Institute of Economics, University of Oslo",
address = "Oslo, Norway"
}
@article{ipm:Frisch6,
author = "K. R. Frisch",
title = "La resolution des problemes de programme lineaire par la methode
du potential logarithmique",
journal = "Cahiers du Seminaire D'Econometrie",
volume = "4",
year = "1956",
pages = "7--20"
}
@article{ipm:Fu1,
author = "M. Fu and Z.--Q. Luo and Y. Ye",
title = "Approximation algorithms for quadratic programming",
journal = "Journal of Combinatorial Optimization",
volume = "2",
year = "1998",
pages = "29--50"
}
@article{ipm:Fujie1,
author = "T. Fujie and M. Kojima",
title = "Semidefinite programming relaxation for nonconvex
quadratic programs",
journal = "Journal of Global Optimization",
volume = "10",
year = "1997",
pages = "367--380"
}
@techreport{ipm:Fujisawa1,
author = "K. Fujisawa and M. Kojima",
title = "{SDPA (Semi--Definite Programming Algorithm) --- User's
Manual}",
type = "{Research Reports on Information Sciences, Ser.\,B\,: Operations
Research}",
number = "B--308",
year = "1995",
month = "November",
institution = "Department of Information Sciences, Tokyo Institute of
Technology",
address = "Oh--Okayama, Meguro--ku, Tokyo\,152, Japan",
note = "Revised August 1996"
}
@techreport{ipm:Fujisawa2,
author = "K. Fujisawa and M. Kojima",
title = "{SDPA (Semi--Definite Programming Algorithm) --- The Software}",
type = "{Research Reports on Information Sciences, Ser.\,B\,: Operations
Research}",
number = "",
year = "1995",
month = "November",
institution = "Department of Information Sciences, Tokyo Institute of
Technology",
address = "Oh--Okayama, Meguro--ku, Tokyo\,152, Japan"
}
@article{ipm:Fujisawa3,
author = "K. Fujisawa and M. Kojima and K. Nakata",
title = "Exploiting sparsity in primal--dual interior--point methods for
semidefinite programming",
journal = "Mathematical Programming",
volume = "78",
year = "1997",
pages = "235--253"
}
@techreport{ipm:Fujisawa4,
author = "K. Fujisawa and M. Fukuda and M. Kojima and K. Nakata",
title = "Numerical evaluation of {SDPA (SemiDefinite Programming Algorithm)}",
type = "{Research Reports on Information Sciences, Ser.\,B\,: Operations
Research}",
number = "B--330",
year = "1997",
month = "September",
institution = "Department of Mathematical and Computing Sciences, Tokyo
Institute of Technology",
address = "Oh--Okayama, Meguro--ku, Tokyo\,152, Japan"
}
@article{ipm:Fujisawa5,
author = "K. Fujisawa",
title = "Numerical experiments on interior point method programs
related to positive semidefinite programming",
journal = "S{\= u}rikaisekikenky{\= u}sho K{\= o}ky{\= u}roku",
volume = "1004",
year = "1997",
pages = "190--199",
note = "(In Japanese, English summary)"
}
@article{ipm:Fukushima1,
author = "M. Fukushima and N. Arai and T. Ibaraki",
title = "An interior method for nonlinear minimum cost network flow
problems",
journal = "Systems and Control (Japan)",
volume = "31",
number = "11",
year = "1987",
pages = "837--843"
}
@article{ipm:Gahinet1,
author = "P. Gahinet and A. S. Nemirovsky",
title = "The projective method for solving linear matrix inequalities",
journal = "Mathematical Programming",
volume = "77",
year = "1997",
pages = "163--190",
note = "See also Nemirovsky and Gahinet \cite{ipm:Nemirovsky5}"
}
@article{ipm:Garcia1,
author = "C. B. Garcia and F. J. Gould",
title = "An application of homotopy to solving linear programs",
journal = "Mathematical Programming",
volume = "27",
year = "1983",
pages = "263--282"
}
@article{ipm:Garey1,
author = "M. R. Garey and D. M. Gay",
title = "Letter from the {AT~\&~T Laboratories}",
journal = "Mathematical Programming Society Committee on Algorithms
(COAL) Newsletter",
year = "1985",
month = "December"
}
@inbook{ipm:Garfunkel1,
author = "S. A. Garfunkel and L. A. Steen and J. Malkevitch",
title = "For All Practical Purposes\,: Introduction to Contemporary
Mathematics",
chapter = "4\,: {L}inear programming\,: {A}n alternative to the simplex
method",
pages = "80--83, 362",
publisher = "W. H. Freeman and Company",
address = "New York",
year = "1988"
}
@article{ipm:Garzillo1,
author = "A. Garzillo and M. Innorta and M. Ricci",
title = "The problem of active and reactive optimum power dispatching
solving by utilizing a primal--dual interior point method",
journal = "Energia Elettrica",
volume = "74",
year = "1997",
pages = "113--122"
}
@techreport{ipm:Gassmann1,
author = "H. I. Gassmann",
title = "Interior point methods in stochastic linear programming\,:
{Reducing} fill--in",
type = "{Working Paper}",
number = "WP--91--4",
year = "1991",
institution = "Dalhousie School of Business Administration, Dalhousie
University",
address = "Halifax, Canada~B3H\,1Z5",
note = "Available through\,: http://ttg.sba.dal.ca/sba/doc/fillin.ps or
http://ttg.sba.dal.ca/sba/profs/hgassmann/fillin.html"
}
@techreport{ipm:Gay1,
author = "D. M. Gay",
title = "Sparse projections in {Karmarkar's} linear programming algorithm",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Atlanta, GA,
USA}",
year = "1985",
month = "November",
institution = "AT~\&~T~Bell Laboratories",
address = "Murray Hill, NJ~07974, USA",
note = "No underlying report"
}
@techreport{ipm:Gay2,
author = "D. M. Gay",
title = "Pictures of {Karmarkar's} linear programming algorithm",
type = "{Computer Science Technical Report}",
number = "136",
year = "1987",
month = "January",
institution = "AT~\&~T~Bell Laboratories",
address = "Murray Hill, NJ~07974, USA"
}
@article{ipm:Gay3,
author = "D. M. Gay",
title = "A variant of {Karmarkar's} linear programming algorithm for
problems in standard form",
journal = "Mathematical Programming",
volume = "37",
year = "1987",
pages = "81--90",
note = "Errata in {\em Mathematical Programming}, 40:111, 1988"
}
@article{ipm:Gay4,
author = "D. M. Gay",
title = "Massive memory buys little speed for complete, in--core
sparse {C}holesky factorizations on some scalar computers",
journal = "Linear Algebra and Its Applications",
volume = "152",
year = "1991",
pages = "291--314"
}
@incollection{ipm:Gay5,
author = "D. M. Gay",
title = "Stopping tests that compute optimal solutions for
interior--point linear programming algorithms",
booktitle = "Advances in Numerical Partial Differential Equations and
Optimization\,: Proceedings of the Fifth Mexico--United States Workshop",
year = "1991",
pages = "17--42",
editor = "S. Gomez and J. P. Hennart and R. A. Tapia",
series = "Proceedings in Applied Mathematics",
volume = "47",
publisher = "SIAM Publications",
address = "Philadelphia, PA, USA"
}
@article{ipm:Gay6,
author = "D. M. Gay and N. K. Karmarkar and K. G. Ramakrishnan",
title = "The {Karmarkar} algorithm\,: {Adding} wings to linear programming",
journal = "Record AT~\&~T~Bell Laboratories",
volume = "64",
number = "2",
year = "1986",
pages = "4--10"
}
@book{ipm:Gay7,
author = "D. M. Gay and M. Kojima and R. A. Tapia",
title = "Interior Point Methods for Linear Programming",
year = "1991",
month = "July",
series = "Linear Algebra and Its Applications",
volume = "152",
publisher = "North Holland",
address = "Amsterdam, The Netherlands",
note = "(Special issue)"
}
@techreport{ipm:Gay8,
author = "D. M. Gay and M. L. Overton and M. H. Wright",
title = "Primal--dual interior point methods for indefinite nonlinear
programming",
type = "{Technical Report}",
year = "1995",
institution = "AT~\&~T~Bell Laboratories",
address = "Murray Hill, NJ~07974, USA",
note = "(In preparation)"
}
@techreport{ipm:Gay9,
author = "D. M. Gay and M. L. Overton and M. H. Wright",
title = "A primal--dual interior point method for nonconvex nonlinear
programming",
type = "{Technical Report}",
number = "97--4--08",
year = "1997",
month = "July",
institution = "AT~\&~T~Bell Laboratories",
address = "Murray Hill, NJ~07974, USA",
note ="To appear in {\em{Advances in Nonlinear Programming,
Y. Yuan (ed.), Kluwer Academic Publishers, Dordrecht, The Netherlands,
1998}}"
}
@article{ipm:Ge1,
author = "R. Ge",
title = "Solving linear programming problems via linear minimax problems",
journal = "Applied Mathematics and Computation",
volume = "46",
number = "1",
year = "1991",
pages = "59--77"
}
@inbook{ipm:Gelbaum1,
author = "B. R. Gelbaum",
title = "Linear Algebra\,: Basics, Practice and Theory",
chapter = "5.7~: {The Karmarkar algorithm}",
pages = "504--527",
publisher = "North Holland",
address = "New York",
year = "1989"
}
@techreport{ipm:Ghare1,
author = "P. Ghare",
title = "Free decision variables and simplified interior point
methods for linear programming",
type = "{Talk held at the Symposium APMOD\,'91---Applied Mathematical
Programming and Modelling, Brunel University, London, United Kingdom}",
year = "1991",
month = "January",
institution = "Northern Virginia Graduate Centre",
address = "USA"
}
@article{ipm:Ghellinck1,
author = "{G. de} Ghellinck and J.--Ph. Vial",
title = "A polynomial {N}ewton method for linear programming",
journal = "Algorithmica",
volume = "1",
number = "4",
year = "1986",
pages = "425--453"
}
@article{ipm:Ghellinck2,
author = "{G. de} Ghellinck and J.--Ph. Vial",
title = "An extension of {Karmarkar's} algorithm for solving a system of
linear homogeneous equations on the simplex",
journal = "Mathematical Programming",
volume = "39",
year = "1987",
pages = "79--92"
}
@techreport{ipm:Ghellinck3,
author = "{G. de} Ghellinck and J.--Ph. Vial",
title = "A unified approach to projective and affine algorithms for linear
programming",
type = "{Talk held at the EURO/TIMS Joint International Conference on
Operational Research in Paris, France}",
year = "1988",
month = "July",
institution = "Center of Operations Research and Econometrics, Universite
Catholique de Louvain",
address = "B--1348~Louvain--la--Neuve, Belgium"
}
@techreport{ipm:Gill1,
author = "P. E. Gill and W. Murray and M. A. Saunders",
title = "A single\,--\,phase dual barrier method for linear programming",
type = "{Technical Report}",
number = "SOL~88--10",
year = "1988",
month = "August",
institution = "Systems Optimization Laboratory, Department of Operations
Research, Stanford University",
address = "Stanford, CA~94305, USA"
}
@techreport{ipm:Gill2,
author = "P. E. Gill and W. Murray and M. A. Saunders",
title = "Interior--point methods for linear programs\,: {A} challenge to the
simplex method",
type = "{Technical Report}",
number = "SOL~88--14",
year = "1988",
month = "July",
institution = "Systems Optimization Laboratory, Department of Operations
Research, Stanford University",
address = "Stanford, CA~94305, USA"
}
@techreport{ipm:Gill3,
author = "P. E. Gill and W. Murray and M. A. Saunders and M. H. Wright",
title = "A note on nonlinear approaches to linear programming",
type = "{Technical Report}",
number = "SOL~86--7",
year = "1986",
month = "April",
institution = "Systems Optimization Laboratory, Department of Operations
Research, Stanford University",
address = "Stanford, CA~94305, USA"
}
@techreport{ipm:Gill4,
author = "P. E. Gill and W. Murray and M. A. Saunders and M. H. Wright",
title = "Convergence results for a shifted barrier linear programming
method",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Washington,
DC, USA}",
year = "1988",
month = "April",
institution = "Systems Optimization Laboratory, Department of Operations
Research, Stanford University",
address = "Stanford, CA~94305, USA"
}
@techreport{ipm:Gill5,
author = "P. E. Gill and W. Murray and M. A. Saunders and M. H. Wright",
title = "Shifted barrier methods for linear programming",
type = "{Technical Report}",
number = "SOL~88--9",
year = "1988",
month = "August",
institution = "Systems Optimization Laboratory, Department of Operations
Research, Stanford University",
address = "Stanford, CA~94305, USA"
}
@techreport{ipm:Gill6,
author = "P. E. Gill and A. Marxen and W. Murray and M. A. Saunders
and M. H. Wright",
title = "Solution of the primal {LP}-problem by a barrier method\,: {S}ome
implementation aspects",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Washington,
DC, USA}",
year = "1988",
month = "April",
institution = "Systems Optimization Laboratory, Department of Operations
Research, Stanford University",
address = "Stanford, CA~94305, USA",
note = "See Marxen \cite{ipm:Marxen1,ipm:Marxen2}"
}
@article{ipm:Gill7,
author = "P. E. Gill and W. Murray and M. A. Saunders and J. A. Tomlin
and M. H. Wright",
title = "On projected {Newton} barrier methods for linear programming
and an equivalence to {Karmarkar's} projective method",
journal = "Mathematical Programming",
volume = "36",
year = "1986",
pages = "183--209"
}
@article{ipm:Gill8,
author = "P. E. Gill and W. Murray and D. B. Poncele{\'o}n and
M. A. Saunders",
title = "Primal--dual methods for linear programming",
journal = "Mathematical Programming",
volume = "70",
year = "1995",
pages = "251--277"
}
@techreport{ipm:Gill9,
author = "P. E. Gill and W. Murray and D. B. Poncele{\'o}n and
M. A. Saunders",
title = "Solving reduced {KKT}--systems in barrier methods for linear and
quadratic programming",
type = "{Technical Report}",
number = "SOL~91-7",
year = "1991",
month = "July",
institution = "Systems Optimization Laboratory, Department of Operations
Research, Stanford University",
address = "Stanford, CA~94305, USA",
note = "See also Gill et al. \cite{ipm:Gill12}"
}
@book{ipm:Gill10,
author = "P. E. Gill and W. Murray and M. H. Wright",
title = "Numerical Linear Algebra and Optimization, {V}ol.\,2",
publisher = "Addison Wesley Publishing Company",
year = "1992",
address = "Amsterdam, The Netherlands",
note = "Chapter on interior point methods"
}
@article{ipm:Gill11,
author = "P. E. Gill and W. Murray and D. B. Poncele{\'o}n and
M. A. Saunders",
title = "Preconditioners for indefinite systems arising in optimization",
journal = "SIAM Journal on Matrix Analysis and Applications",
volume = "13",
year = "1992",
pages = "292--311"
}
@incollection{ipm:Gill12,
author = "P. E. Gill and W. Murray and D. B. Poncele{\'o}n and
M. A. Saunders",
title = "Solving reduced {KKT}--systems in barrier methods for linear
programming",
booktitle = "Numerical Analysis 1993",
editor = "D. F. Griffiths and G. A. Watson",
year = "1994",
pages = "89--104",
series = "Pitman Research Notes in Mathematics",
volume = "303",
publisher = "Longman Scientific \& Technical",
address = "Harlow, United Kingdom",
note = "See also Gill et al. \cite{ipm:Gill9}"
}
@article{ipm:Gill13,
author = "P. E. Gill and M. A. Saunders and J. R. Shinnerl",
title = "On the stability of {Cholesky} factorization for symmetric
quasidefinite systems",
journal = "SIAM Journal on Matrix Analysis and Applications",
volume = "17",
year = "1996",
pages = "35--46"
}
@article{ipm:Glassman1,
author = "N. D. Glassman",
title = "{ONR (Office of Naval Research)} focuses on interior methods",
journal = "SIAM News",
volume = "20",
number = "2",
pages = "12",
year = "1987",
month = "March"
}
@article{ipm:Gleick1,
author = "J. Gleick",
title = "Breakthrough in problem solving",
journal = "The New York Times",
year = "1984",
month = "November 19, "
}
@techreport{ipm:Goessl1,
author = "H. Goessl",
title = "{Eine Modifikation des Verfahrens von Karmarkar basierend auf einer
Formulierung des Algorithmus im Originalproblem~(A modification of
Karmarkar's algorithm based on a formulation of the algorithm in the
original problem)}",
type = "{Interner Bericht der intergrierten Arbeitsgruppe Mathematische
Probleme aus dem Ingenieurbereich}",
year = "1986",
month = "October",
institution = "Fachbereich Mathematik, Gesamthochschule Wuppertal",
address = "D--42097~Wuppertal~1, Germany",
note = "(In German)"
}
@techreport{ipm:Goessl2,
author = "H. Goessl",
title = "{Eine Verallgemeinerung und eine duale Variante des Verfahrens von
de Ghellinck und Vial zur linearen Optimierung~(A generalization and a dual
variant of the algorithm of de Ghellinck and Vial for linear programming)}",
type = "{Interner Bericht der intergrierten Arbeitsgruppe Mathematische
Probleme aus dem Ingenieurbereich}",
year = "1987",
month = "December",
institution = "Fachbereich Mathematik, Gesamthochschule Wuppertal",
address = "D--42097~Wuppertal~1, Germany",
note = "(In German)"
}
@phdthesis{ipm:Goessl3,
author = "H. Goessl",
title = "{Varianten der polynomialen Newtonmethode zur linearen
Optimierung~(Variants of the polynomial Newton method for linear
programming)}",
year = "1989",
school = "Fachbereich Mathematik, Gesamthochschule Wuppertal",
address = "D--42097~Wuppertal~1, Germany",
note = "(In German)"
}
@incollection{ipm:Goffin1,
author = "J.--L. Goffin",
title = "Affine and projective methods in nondifferentiable optimization",
booktitle = "Trends in Mathematical Optimization\,: Proceedings of the 4th
French--German Conference on Optimization in Irsee, Germany, April 1986",
editor = "K. H. Hoffmann and J. B. Hiriat--Urruty and C. Lemarechal and
J. Zowe",
series = "International Series of Numerical Mathematics",
volume = "84",
year = "1988",
pages = "79--91",
publisher = "Birkh{\"a}user Verlag",
address = "Basel, Switzerland"
}
@techreport{ipm:Goffin2,
author = "J.--L. Goffin",
title = "Decomposition and large scale optimization with the interior point
algorithms",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Philadelphia,
PA, USA}",
year = "1990",
month = "October",
institution = "Faculty of Management, McGill University",
address = "Montreal, Ontario, Canada"
}
@article{ipm:Goffin3,
author = "J.--L. Goffin and J.--Ph. Vial",
title = "Cutting planes and column generation techniques with the
projective algorithm",
journal = "Journal of Optimization Theory and Applications",
volume = "65",
year = "1990",
pages = "409--429"
}
@article{ipm:Goffin4,
author = "J.--L. Goffin and A. Haurie and J.--Ph. Vial",
title = "Decomposition and nondifferentiable optimization with the
projective algorithm",
journal = "Management Science",
volume = "38",
number = "2",
year = "1992",
pages = "284--302"
}
@article{ipm:Goffin5,
author = "J.--L. Goffin and J.--Ph. Vial",
title = "Short steps with {Karmarkar's} projective algorithm for linear
programming",
journal = "SIAM Journal on Optimization",
volume = "4",
year = "1994",
pages = "193--207"
}
@article{ipm:Goffin6,
author = "J.--L. Goffin and J.--Ph. Vial",
title = "On the computation of weighted analytic centers and dual
ellipsoids with the projective algorithm",
journal = "Mathematical Programming",
volume = "60",
year = "1993",
pages = "81--92"
}
@article{ipm:Goffin7,
author = "J.--L. Goffin and A. Haurie and J.--Ph. Vial and D. L. Zhu",
title = "Using central prices in the decomposition of linear programs",
journal = "European Journal of Operational Research",
volume = "64",
year = "1993",
pages = "393--409"
}
@techreport{ipm:Goffin8,
author = "J.--L. Goffin",
title = "Affine methods in nondifferentiable optimization",
type = "{CORE Discussion Paper}",
number = "8744",
year = "1987",
institution = "Center for Operations Research and Econometrics, Universite
Catholique de Louvain",
address = "B--1348 Louvain--la--Neuve, Belgium"
}
@techreport{ipm:Goffin9,
author = "J.--L. Goffin and J.--Ph. Vial",
title = "Experimentation with the interior cutting plane method {(ICPM)}",
type = "{Talk held at the Fourth SIAM Conference on Optimization in Chicago,
IL, USA}",
year = "1992",
month = "May",
institution = "Faculty of Management, McGill University",
address = "Montreal, Ontario, Canada"
}
@techreport{ipm:Goffin10,
author = "J.--L. Goffin and J.--Ph. Vial",
title = "On the computation of weighted analytic centers and dual
ellipsoids with the projective algorithm",
type = "{Manuscript}",
year = "1989",
month = "July",
institution = "Faculte des Sciences Economiques et Sociales, Universite de
Geneve",
address = "Geneve, Suisse"
}
@incollection{ipm:Goffin11,
author = "J.--L. Goffin and Z.--Q. Luo and Y. Ye",
title = "On the complexity of a column generation algorithm for convex or
quasiconvex feasibility problems",
booktitle = "Large--Scale Optimization\,: The State--of--the --Art",
editor = "W. W. Hager and D. W. Hearn and P. M. Pardalos",
year = "1994",
pages = "182--191",
publisher = "Kluwer Academic Publishers",
address = "Dordrecht, The Netherlands"
}
@article{ipm:Goffin12,
author = "J.--L. Goffin and Z.--Q. Luo and Y. Ye",
title = "Complexity analysis of an interior cutting plane method for
convex feasibility problems",
journal = "SIAM Journal on Optimization",
volume = "6",
year = "1996",
pages = "638--652"
}
@article{ipm:Goffin13,
author = "J.--L. Goffin and J. Gondzio and R. Sarkissian and J.--Ph. Vial",
title = "Solving nonlinear multicommodity flow problems by the analytic
center cutting plane method",
journal = "Mathematical Programming",
volume = "76",
year = "1997",
pages = "131--154"
}
@techreport{ipm:Goffin14,
author = "J.--L. Goffin and Z.--Q. Luo and Y. Ye",
title = "Complexity analysis of a potential reduction and column generation
algorithm for convex programming",
type = "{Technical Report}",
year = "1994",
institution = "Faculty of Management, McGill University",
address = "Montreal, Ontario, Canada",
note = "To appear in {\em SIAM Journal on Optimization}"
}
@techreport{ipm:Goffin15,
author = "J.--L. Goffin and Z.--Q. Luo and Y. Ye",
title = "Further complexity analysis of a primal--dual column generation
algorithm for convex or quasiconvex feasibility problems",
type = "{Technical Report}",
year = "1993",
month = "August",
institution = "Faculty of Management, McGill University",
address = "Montreal, Ontario, Canada",
note = "To appear in {\em SIAM Journal on Optimization}"
}
@techreport{ipm:Goffin16,
author = "J.--L. Goffin",
title = "Using the primal dual infeasible {Newton} method in the analytic
center method for problems defined by deep cutting planes",
type = "{Technical Report}",
year = "1994",
month = "September",
institution = "Faculty of Management, McGill University",
address = "Montreal, Ontario, Canada"
}
@article{ipm:Goffin17,
author = "J.--L. Goffin and P. Marcotte and D. Zhu",
title = "An analytic center cutting plane method for pseudomonotone
variational inequalities",
journal = "Operations Research Letters",
volume = "20",
year = "1997",
pages = "1--6"
}
@techreport{ipm:Goffin18,
author = "J.--L. Goffin and F. Sharifi--Mokhtarian--Mokhtarian",
title = "Using the primal dual infeasible {Newton} method in the analytic
center method for problems defined by deep cutting planes",
type = "{Technical Report}",
number = "GERAD G--94--41",
year = "1994",
institution = "Faculty of Management, McGill University",
address = "Montreal, Ontario, Canada",
note = "Revised April 1996"
}
@article{ipm:Goffin19,
author = "J.--L. Goffin and J.--Ph. Vial",
title = "Shallow, deep and very deep cuts in the analytic center cutting
plane method",
journal = "Mathematical Programming",
volume = "84",
year = "1999",
pages = "89--103"
}
@techreport{ipm:Goffin20,
author = "J.--L. Goffin and J.--Ph. Vial",
title = "A two--cut approach in the analytic center cutting plane
method",
type = "{Logilab Technical Report}",
number = "97.6",
year = "1997",
month = "August",
institution = "LOGILAB, HEC Geneva, Department of Management Studies,
University of Geneva",
address = "CH--1211 Geneva, Switzerland"
}
@techreport{ipm:Goffin21,
author = "J.--L. Goffin and J.--Ph. Vial",
title = "Multiple cuts in the analytic center cutting plane method",
type = "{Logilab Technical Report}",
number = "98.10",
year = "1998",
month = "June",
institution = "LOGILAB, HEC Geneva, Department of Management Studies,
University of Geneva",
address = "102~Bd Carl Vogt, CH--1211 Geneva, Switzerland"
}
@incollection{ipm:Goldberg1,
author = "A. V. Goldberg and S. A. Plotkin and D. B. Shmoys and E. Tardos",
title = "Interior--point methods in parallel computation",
booktitle = "Proceedings of the 30th Annual Symposium on Foundations of
Computer Science, Research Triangle Park, NC, USA, 1989",
year = "1990",
pages = "350--355",
publisher = "IEEE Computer Society Press",
address = "Los Alamitos, CA, USA"
}
@article{ipm:Goldberg2,
author = "A. V. Goldberg and S. A Plotkin and D. B. Shmoys and E. Tardos",
title = "Using interior--point methods for fast parallel algorithms for
bipartite matching and related problems",
journal = "SIAM Journal on Computing",
volume = "21",
number = "1",
year = "1992",
pages = "140--150"
}
@techreport{ipm:Goldfarb1,
author = "D. Goldfarb",
title = "A relaxed version of {Karmarkar's} method",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Miami Beach,
FL, USA}",
year = "1986",
month = "October",
institution = "Department of Industrial Engineering and Operations
Research, Columbia University",
address = "New York, NY~10027, USA"
}
@techreport{ipm:Goldfarb2,
author = "D. Goldfarb",
title = "A primal projective interior point method for linear programming",
type = "{Talk held at the First International Symposium on Interior Point
Methods for Linear Programming\,: Theory and Practice, in Scheveningen, The
Netherlands}",
year = "1990",
month = "January",
institution = "Department of Industrial Engineering and Operations
Research, Columbia University",
address = "New York, NY~10027, USA"
}
@article{ipm:Goldfarb3,
author = "D. Goldfarb and S. Liu",
title = "An ${O(n^{3}L)}$ primal interior point algorithm for convex
quadratic programming",
journal = "Mathematical Programming",
volume = "49",
year = "1990/91",
pages = "325--340"
}
@article{ipm:Goldfarb4,
author = "D. Goldfarb and S. Mehrotra",
title = "A relaxed version of {Karmarkar's} method",
journal = "Mathematical Programming",
volume = "40",
year = "1988",
pages = "289--315"
}
@article{ipm:Goldfarb5,
author = "D. Goldfarb and S. Mehrotra",
title = "Relaxed variants of {Karmarkar's} algorithm for linear
programs with unknown optimal objective value",
journal = "Mathematical Programming",
volume = "40",
year = "1988",
pages = "183--195"
}
@techreport{ipm:Goldfarb6,
author = "D. Goldfarb and S. Mehrotra",
title = "A homogeneous equations variant of {Karmarkar's} algorithm for
solving linear programs",
type = "{Talk held at ORSA/TIMS Joint National Meeting in New Orleans, USA}",
year = "1987",
month = "May",
institution = "Department of Industrial Engineering and Operations
Research, Columbia University",
address = "New York, NY~10027, USA"
}
@article{ipm:Goldfarb7,
author = "D. Goldfarb and S. Mehrotra",
title = "A self--correcting version of {Karmarkar's} algorithm",
journal = "SIAM Journal on Numerical Analysis",
volume = "26",
year = "1989",
pages = "1006--1015"
}
@incollection{ipm:Goldfarb8,
author = "D. Goldfarb and M. J. Todd",
title = "{Linear Programming}",
booktitle = "Optimization",
publisher = "North Holland",
address = "Amsterdam, The Netherlands",
editor = "G. L. Nemhauser and A. H. G. {Rinnooy Kan} and M. J. Todd",
series = "Handbooks in Operations Research and Management Science",
volume = "1",
year = "1989",
pages = "141--170"
}
@article{ipm:Goldfarb9,
author = "D. Goldfarb and S. Liu and S. Wang",
title = "A logarithmic barrier function algorithm for quadratically
constrained convex programming",
journal = "SIAM Journal on Optimization",
volume = "1",
year = "1991",
pages = "252--267"
}
@techreport{ipm:Goldfarb10,
author = "D. Goldfarb and S. Liu",
title = "Interior point potential function reduction algorithm for
solving convex quadratic programming",
type = "{Technical Report}",
year = "1990",
institution = "Department of Industrial Engineering and Operations
Research, Columbia University",
address = "New York, NY~10027, USA"
}
@article{ipm:Goldfarb11,
author = "D. Goldfarb and D. Xiao",
title = "A primal projective interior point method for linear
programming",
journal = "Mathematical Programming",
volume = "51",
year = "1991",
pages = "17--43"
}
@article{ipm:Goldfarb12,
author = "D. Goldfarb and S. Liu",
title = "An {$O(n^{3}L)$} primal--dual potential reduction algorithm for
solving quadratic programs",
journal = "Mathematical Programming",
volume = "61",
year = "1993",
pages = "161--170"
}
@techreport{ipm:Goldfarb13,
author = "D. Goldfarb and D. X. Shaw",
title = "A path--following projective interior point method for linear
programming",
type = "{Technical Report}",
year = "1991",
institution = "Department of Industrial Engineering and Operations
Research, Columbia University",
address = "New York, NY~10027, USA",
note = "To appear in {\em SIAM Journal on Optimization}"
}
@article{ipm:Goldfarb14,
author = "D. Goldfarb and D. X. Shaw",
title = "On the complexity of a class of projective interior point methods",
journal = "Mathematics of Operations Research",
volume = "20",
year = "1995",
pages = "116--134"
}
@article{ipm:Goldfarb15,
author = "D. Goldfarb and K. Scheinberg",
title = "Interior point trajectories in semidefinite programs",
journal = "SIAM Journal on Optimization",
volume = "8",
year = "1998",
pages = "871--886"
}
@article{ipm:Golshtejn1,
author = "E. G. Gol'shtejn and A. S. Nemirovsky and Yu. E. Nesterov",
title = "On some recent advances in optimization",
journal = "Ekonomika i Matematickeskie Metody (Moscow)",
volume = "26",
number = "1",
year = "1990",
pages = "178--190",
note = "(In Russian)"
}
@article{ipm:Gondzio1,
author = "J. Gondzio",
title = "Splitting dense columns of constraint matrix in interior point
methods for large scale linear programming",
journal = "Optimization",
volume = "24",
year = "1992",
pages = "285--297"
}
@techreport{ipm:Gondzio2,
author = "J. Gondzio",
title = "An advanced implementation of {Cholesky} factorization for
computing projections in interior point methods for large scale linear
programming",
type = "Cahier",
number = "107",
year = "1991",
month = "December",
institution = "Laboratoire de Analyse et Modelisation de Systemes pour
l'Aide a la Decision (LAMSADE), Universite de Paris Dauphine",
address = "F--75775~Paris~Cedex~16, France",
note = "Published in Gondzio\,\cite{ipm:Gondzio4} after title change"
}
@article{ipm:Gondzio3,
author = "J. Gondzio and D. Tachat",
title = "The design and application of the {IMPLO -- A FORTRAN} library for
linear optimization with interior point methods",
journal = "R.A.I.R.O. Recherche Operationnelle/Operations Research",
volume = "28",
year = "1994",
pages = "37--56"
}
@article{ipm:Gondzio4,
author = "J. Gondzio",
title = "Implementing {Cholesky} factorization for interior point methods
of linear programming",
journal = "Optimization",
volume = "27",
year = "1993",
pages = "121--140",
note = "Title change version of Gondzio\,\cite{ipm:Gondzio2}"
}
@article{ipm:Gondzio5,
author = "J. Gondzio",
title = "Presolve analysis of linear programs prior to applying the
interior--point method",
journal = "INFORMS Journal on Computing",
volume = "9",
year = "1997",
pages = "73--91"
}
@article{ipm:Gondzio6,
author = "J. Gondzio and M. Makowski",
title = "Solving a class of {LP} problems with a primal--dual logarithmic
barrier method",
journal = "European Journal of Operational Research",
volume = "80",
year = "1995",
pages = "184--192"
}
@incollection{ipm:Gondzio7,
author = "J. Gondzio and T. Terlaky",
title = "A computational view of interior point methods",
booktitle = "{Advances in Linear and Integer Programming}",
editor = "J. E. Beasley",
year = "1996",
pages = "103--144",
series = "Oxford Lecture Series in Mathematics and its Applications",
volume = "4",
publisher = "Oxford Science Publications, Oxford University Press",
address = "Oxford, Great Britain"
}
@article{ipm:Gondzio8,
author = "J. Gondzio",
title = "Multiple centrality corrections in a primal--dual method for
linear programming",
journal = "Computational Optimization and Applications",
volume = "6",
year = "1996",
pages = "137--156",
note = "See also Gondzio \cite{ipm:Gondzio10}"
}
@article{ipm:Gondzio9,
author = "J. Gondzio",
title = "{HOPDM (Version2.12) -- A fast LP} solver based on a primal--dual
interior point method",
journal = "European Journal of Operational Research",
volume = "85",
year = "1995",
pages = "221--225",
note = "See also Altman and Gondzio \cite{ipm:Altman3}",
url = "http://ecolu--info.unige.ch/~logilab/software/hopdm.html"
}
@article{ipm:Gondzio10,
author = "J. Gondzio",
title = "On the use of multiple centrality corrections in a
primal--dual method for large scale linear programming",
journal = "International Symposium of Economic Informatics (Bucharest,
Romania, May 1995)",
volume = "",
year = "1995",
pages = "311--321",
note = "See also Gondzio \cite{ipm:Gondzio8}"
}
@techreport{ipm:Gondzio11,
author = "J. Gondzio",
title = "Preconditioned conjugate gradients in an interior point method
for two--stage stochastic programming",
type = "{Working Paper}",
number = "WP--94--130",
year = "1994",
institution = "IIASA International Institute for Applied Systems
Analysis",
address = "A--2361~Laxenburg, Austria"
}
@techreport{ipm:Gondzio12,
author = "J. Gondzio and M. Makowski",
title = "{HOPDM--Modular solver for LP problems user's guide to version\,
2.12}",
type = "{Working Paper}",
number = "WP--95--50",
year = "1995",
month = "June",
institution = "IIASA International Institute for Applied Systems
Analysis",
address = "A--2361~Laxenburg, Austria"
}
@techreport{ipm:Gondzio13,
author = "J. Gondzio and {O. du} Merle",
title = "Analytic center cutting plane method -- {User's} guide for the
library",
type = "{Technical Report}",
number = "1995.33",
year = "1995",
month = "December",
institution = "Department of Management Studies, University of Geneva",
address = "CH--1211 Geneva, Switzerland"
}
@techreport{ipm:Gondzio14,
author = "J. Gondzio and {O. du} Merle and R. Sarkissian and J.--Ph. Vial",
title = "{ACCPM} -- A library for convex optimization based on an analytic
center cutting plane method",
type = "{Technical Report}",
number = "1995.34",
year = "1995",
month = "December",
institution = "Department of Management Studies, University of Geneva",
address = "CH--1211 Geneva, Switzerland"
}
@article{ipm:Gondzio15,
author = "J. Gondzio and R. Sarkissian and J.--Ph. Vial",
title = "Using an interior point method for the master problems in a
decomposition approach",
journal = "European Journal of Operational Research",
volume = "101",
year = "1997",
pages = "577--587"
}
@techreport{ipm:Gondzio16,
author = "J. Gondzio and R. Sarkissian",
title = "Column generation with a primal--dual method",
type = "{Logilab Technical Report}",
number = "96.6",
year = "1996",
month = "June",
institution = "LOGILAB, HEC Geneva, Department of Management Studies,
University of Geneva",
address = "CH--1211 Geneva, Switzerland"
}
@article{ipm:Gondzio17,
author = "J. Gondzio",
title = "Warm start of the priml--dual method applied in the cutting
plane scheme",
journal = "Mathematical Programming",
volume = "83",
year = "1998",
pages = "125--143"
}
@techreport{ipm:Gondzio18,
author = "J. Gondzio and J.--Ph. Vial",
title = "Warm start and epsilon--subgradients in the cutting plane scheme
for block--angular linear programs",
type = "{Logilab Technical Report}",
number = "97.1",
year = "1997",
month = "June",
institution = "LOGILAB, HEC Geneva, Department of Management Studies,
University of Geneva",
address = "CH--1211 Geneva~4, Switzerland"
}
@techreport{ipm:Gondzio19,
author = "J. Gondzio and R. Sarkissian and J.--Ph. Vial",
title = "Parallel implementation of a central decomposition method for
solving large scale planning problems",
type = "{Logilab Technical Report}",
number = "98.1",
year = "1998",
month = "January",
institution = "LOGILAB, HEC Geneva, Department of Management Studies,
University of Geneva",
address = "CH--1211 Geneva~4, Switzerland"
}
@article{ipm:Gong1,
author = "D. P. Gong and S. R. Xu",
title = "An interior point algorithm for solving linear programming
problems with hybrid constraints",
journal = "Sinica Naturalis Univ.\,Sunyatsemi",
volume = "31",
number = "4",
year = "1992",
pages = "19--25",
note = "(In Chinese, English summary)"
}
@techreport{ipm:Gonzaga1,
author = "C. C. Gonzaga",
title = "New results in conical projection methods for mathematical
programming",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Miami Beach,
FL, USA}",
year = "1986",
month = "October",
institution = "Department of Electrical Engineering and Computer Science,
University of California",
address = "Berkeley, CA~94720, USA"
}
@article{ipm:Gonzaga2,
author = "C. C. Gonzaga",
title = "Search directions for interior linear programming methods",
journal = "Algorithmica",
volume = "6",
year = "1991",
pages = "153--181"
}
@article{ipm:Gonzaga3,
author = "C. C. Gonzaga",
title = "Interior point algorithms for linear programming problems with
inequality constraints",
journal = "Mathematical Programming",
volume = "52",
year = "1991",
pages = "209--225"
}
@article{ipm:Gonzaga4,
author = "C. C. Gonzaga",
title = "Polynomial affine algorithms for linear programming",
journal = "Mathematical Programming",
volume = "49",
year = "1990",
pages = "7--21"
}
@article{ipm:Gonzaga5,
author = "C. C. Gonzaga",
title = "Conical projection algorithms for linear programming",
journal = "Mathematical Programming",
volume = "43",
year = "1989",
pages = "151--173"
}
@incollection{ipm:Gonzaga6,
author = "C. C. Gonzaga",
title = "An algorithm for solving linear programming problems in
${O(n^{3}L)}$ operations",
booktitle = "Progress in Mathematical Programming\,: Interior Point and
Related Methods",
publisher = "Springer Verlag",
address = "New York",
editor = "N. Megiddo",
year = "1989",
pages = "1--28"
}
@article{ipm:Gonzaga7,
author = "C. C. Gonzaga",
title = "Large steps path--following methods for linear
programming, {Part\,I\,: Barrier} function method",
journal = "SIAM Journal on Optimization",
volume = "1",
year = "1991",
pages = "268--279"
}
@article{ipm:Gonzaga8,
author = "C. C. Gonzaga",
title = "Large steps path--following methods for linear
programming, {Part\,II\,: Potential} reduction method",
journal = "SIAM Journal on Optimization",
volume = "1",
year = "1991",
pages = "280--292"
}
@techreport{ipm:Gonzaga9,
author = "C. C. Gonzaga",
title = "An overview of ${O(\sqrt{n}L)}$--iteration algorithms for linear
programming",
type = "{Talk held at the 14th Conference on the Mathematics of Operations
Research in Dalfsen, The Netherlands}",
year = "1990",
month = "January",
institution = "Department of Systems Engineering and Computer Science,
COPPE Federal University of Rio de Janeiro",
address = "21941~Rio~de~Janeiro, RJ, Brazil"
}
@techreport{ipm:Gonzaga10,
author = "C. C. Gonzaga",
title = "A larger step path--following potential reduction algorithm for
linear programming",
type = "{Talk held at the First International Symposium on Interior Point
Methods for Linear Programming\,: Theory and Practice, in Scheveningen, The
Netherlands}",
year = "1990",
month = "January",
institution = "Department of Systems Engineering and Computer Science,
COPPE Federal University of Rio de Janeiro",
address = "21941~Rio~de~Janeiro, RJ, Brazil"
}
@techreport{ipm:Gonzaga11,
author = "C. C. Gonzaga",
title = "Large steps potential reduction algorithms for linear programming",
type = "{Talk held at the SIAM Annual Meeting in Chicago, IL, USA}",
year = "1990",
month = "July",
institution = "Department of Systems Engineering and Computer Science,
COPPE Federal University of Rio de Janeiro",
address = "21941~Rio~de~Janeiro, RJ, Brazil"
}
@article{ipm:Gonzaga12,
author = "C. C. Gonzaga and M. J. Todd",
title = "An ${O(\sqrt{n}L)}$--iteration large--step primal--dual affine
algorithm for linear programming",
journal = "SIAM Journal on Optimization",
volume = "2",
year = "1992",
pages = "349--359"
}
@techreport{ipm:Gonzaga13,
author = "C. C. Gonzaga",
title = "A conical projection algorithm for linear programming",
type = "Memorandum",
number = "UCB/ERL~M85/61",
year = "1985",
month = "July",
institution = "Electronics Research Laboratory, University of California",
address = "Berkeley, CA~94720, USA"
}
@article{ipm:Gonzaga14,
author = "C. C. Gonzaga",
title = "On lower bound updates in primal potential reduction methods for
linear programming",
journal = "Mathematical Programming",
volume = "52",
year = "1991",
pages = "415--428"
}
@techreport{ipm:Gonzaga15,
author = "C. C. Gonzaga",
title = "A simple representation of {Karmarkar's} algorithm",
type = "{Technical Report}",
year = "1988",
month = "May",
institution = "Department of Systems Engineering and Computer Science,
COPPE Federal University of Rio de Janeiro",
address = "21941~Rio~de~Janeiro, RJ, Brazil"
}
@techreport{ipm:Gonzaga16,
author = "C. C. Gonzaga",
title = "On the convergence of the large step affine--scaling algorithm for
linear programming",
type = "{Talk held at the TIMS/SOBRAPO Joint International Meeting in Rio de
Janeiro, Brazil}",
year = "1991",
month = "July",
institution = "Department of Systems Engineering and Computer Science,
COPPE Federal University of Rio de Janeiro",
address = "21941~Rio~de~Janeiro, RJ, Brazil"
}
@techreport{ipm:Gonzaga17,
author = "C. C. Gonzaga",
title = "Trust region minimization in conical projection algorithms",
type = "{Talk held at the Eleventh IFORS International Conference on
Operations Research in Buenos Aires, Argentina}",
year = "1987",
month = "August",
institution = "Department of Electrical Engineering and Computer Science,
University of California",
address = "Berkeley, CA~94720, USA"
}
@techreport{ipm:Gonzaga18,
author = "C. C. Gonzaga",
title = "Convergence of the large step primal affine--scaling algorithm for
primal nondegenerate linear programs",
type = "{Technical Report}",
number = "ES--230/90",
year = "1990",
month = "September",
institution = "Department of Systems Engineering and Computer Science,
COPPE Federal University of Rio de Janeiro",
address = "21941~Rio~de~Janeiro, RJ, Brazil"
}
@article{ipm:Gonzaga19,
author = "C. C. Gonzaga",
title = "Path following methods for linear programming",
journal = "SIAM Review",
volume = "34",
number = "2",
year = "1992",
pages = "167--227"
}
@techreport{ipm:Gonzaga20,
author = "C. C. Gonzaga",
title = "Path--following algorithms for linear and quadratic programming",
type = "{Talk held at the Third SIAM Conference on Optimization in Boston,
MA, USA}",
year = "1989",
month = "April",
institution = "Department of Systems Engineering and Computer Science,
COPPE Federal University of Rio de Janeiro",
address = "21941~Rio~de~Janeiro, RJ, Brazil"
}
@article{ipm:Gonzaga21,
author = "C. C. Gonzaga",
title = "An interior trust region method for linearly constrained
optimization",
journal = "Mathematical Programming Society Committee on Algorithms (COAL)
Newsletter",
volume = "19",
year = "1991",
month = "August",
pages = "55--66"
}
@techreport{ipm:Gonzaga22,
author = "C. C. Gonzaga and L. A. Carlos",
title = "A primal affine--scaling algorithm for linearly constrained convex
programs",
type = "{Technical Report}",
number = "ES--238/90",
year = "1990",
month = "December",
institution = "Department of Systems Engineering and Computer Science,
COPPE Federal University of Rio de Janeiro",
address = "21941~Rio~de~Janeiro, RJ, Brazil"
}
@techreport{ipm:Gonzaga23,
author = "C. C. Gonzaga",
title = "Ellipsoidal trust regions and prox functions for linearly
constrained nonlinear programs",
type = "{Talk held at the Fourth SIAM Conference on Optimization in Chicago,
IL, USA}",
year = "1992",
month = "May",
institution = "Department of Systems Engineering and Computer Science,
COPPE Federal University of Rio de Janeiro",
address = "21941~Rio~de~Janeiro, RJ, Brazil"
}
@article{ipm:Gonzaga24,
author = "C. C. Gonzaga and R. A. Tapia",
title = "On the quadratic convergence of the simplified
{Mizuno--Todd--Ye} algorithm for linear programming",
journal = "SIAM Journal on Optimization",
volume = "7",
year = "1997",
pages = "66--85"
}
@article{ipm:Gonzaga25,
author = "C. C. Gonzaga and R. A. Tapia",
title = "On the convergence of the {Mizuno--Todd--Ye} algorithm to the
analytic center of the solution set",
journal = "SIAM Journal on Optimization",
volume = "7",
year = "1997",
pages = "47--65"
}
@techreport{ipm:Gonzaga26,
author = "C. C. Gonzaga and R. A. Tapia",
title = "A quadratically convergent primal--dual algorithm for linear
programming",
type = "{Technical Report}",
year = "1993",
institution = "Department of Mathematical Sciences, Rice University",
address = "Houston, TX~77251, USA",
note = "(In preparation)"
}
@article{ipm:Gonzaga27,
author = "C. C. Gonzaga",
title = "The largest step path following algorithm for monotone linear
complementarity problems",
journal = "Mathematical Programming",
volume = "76",
year = "1997",
pages = "309--332"
}
@book{ipm:Gonzaga28,
author = "C. C. Gonzaga",
title = "{Interior--Point Algorithms}",
year = "",
publisher = "Brooks\,\&\,Cole Publishing Company",
address = "Pacific Grove, CA, USA",
note = "(In preparation)"
}
@techreport{ipm:Gonzaga29,
author = "C. C. Gonzaga and H. J. Lara",
title = "A note on properties of condition numbers",
type = "{Technical Report}",
number = "",
year = "1996",
month = "March",
institution = "Department of Mathematics, Federal University of Santa
Catarina",
address = "88040--970~Florianopolis, SC, Brazil"
}
@article{ipm:Gonzaga30,
author = "C. C. Gonzaga",
title = "On the complexity of linear programming",
journal = "Resenhas do Instituto de Matem{\'a}tica e
Estat{\'i}st{\'i}ca da Universidade de S$\tilde{a}$o Paulo",
volume = "2",
year = "1995",
pages = "197--207"
}
@article{ipm:Gonzaga31,
author = "C. C. Gonzaga and J. F. Bonnans",
title = "Fast convergence of the simplified largest step path following
algorithm",
journal = "Mathematical Programming",
volume = "76",
year = "1997",
pages = "95--115"
}
@techreport{ipm:Gonzaga32,
author = "C. C. Gonzaga",
title = "Complexity of predictor--corrector algorithms for {LCP} based on a
large neighborhood of the central path",
type = "{Technical Report}",
number = "",
year = "1996",
institution = "Department of Mathematics, Federal University of Santa
Catarina",
address = "88040--970~Florianopolis, SC, Brazil"
}
@article{ipm:Gonzalez1,
author = "C. {Gonzalez Martin} and M. {Sanchez Garcia}",
title = "The method of {Karmarkar}\,: {A} study of its variants",
journal = "Trabajos de Investigacion Operativa",
volume = "6",
number = "1",
year = "1991",
pages = "3--25",
note = "(In Spain, English summary)"
}
@article{ipm:GonzalezLima1,
author = "M. D. Gonz{\'a}lez--Lima and R. A. Tapia and R. M. Thrall",
title = "On the construction of strong complementarity slackness solutions
for {DEA} linear programming problems using a primal--dual interior--point
method",
journal = "Annals of Operations Research",
volume = "66",
year = "1996",
pages = "139--162"
}
@techreport{ipm:GonzalezLima2,
author = "M. D. Gonzalez--Lima",
title = "Effective computation of the analytic center of the solution set
in linear programming using primal--dual interior--point methods",
type = "{Technical Report}",
number = "TR~94--48",
year = "1994",
institution = "Department of Mathematical Sciences, Rice University",
address = "Houston, TX~77251, USA"
}
@article{ipm:GonzalezLima3,
author = "M. D. Gonz{\'a}lez--Lima and R. A. Tapia and F. A. Potra",
title = "On effectively computing the analytic center of the solution
set by primal--dual interior--point methods",
journal = "SIAM Journal on Optimization",
volume = "8",
year = "1998",
pages = "1--25"
}
@article{ipm:Granville1,
author = "S. Granville",
title = "Optimal reactive dispatch through interior point methods",
journal = "IEEE Transactions on Power Systems (PWRS)",
volume = "9",
year = "1994",
pages = "136--146"
}
@article{ipm:Granville2,
author = "S. Granville and O. C. O. Mello and A. C. G. Mello",
title = "Application of interior point methods to power flow unsolvability",
journal = "IEEE Transactions on Power Systems (PWRS)",
volume = "11",
year = "1996",
pages = "1096--1103"
}
@techreport{ipm:Gray1,
author = "P. Gray and J. A. Kaliski and Y. Ye",
title = "An implementation of the build--up interior method for linear
programming",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Nashville,
Tennessee, USA}",
year = "1991",
month = "May",
institution = "College of Business, Department of Management Sciences,
University of Iowa",
address = "Iowa City, IA~52242, USA"
}
@techreport{ipm:Grayson1,
author = "M. A. Grayson",
title = "The basin of attraction for interior point linear programming
algorithms",
type = "{Research Report}",
number = "RC~15969",
year = "1990",
institution = "IBM Almaden Research Center",
address = "San Jose, CA~95120--6099, USA"
}
@article{ipm:Greenberg1,
author = "H. J. Greenberg",
title = "The use of the optimal partition in a linear programming
solution for postoptimal analysis",
journal = "Operations Research Letters",
volume = "15",
year = "1994",
pages = "179--185"
}
@techreport{ipm:Greenberg2,
author = "H. J. Greenberg",
title = "Matrix sensitivity analysis from an interior solution of a linear
program",
type = "{Technical Report}",
number = "",
year = "1997",
institution = "Center of Computational Mathematics, Department of
Mathematics, University of Colorado at Denver",
address = "Denver, CO~80217, USA"
}
@article{ipm:Greenberg3,
author = "H. J. Greenberg and A. G. Holder and C. Roos and T. Terlaky",
title = "On the dimension of the set of rim pertubations for optimal
partition invariance",
journal = "SIAM Journal on Optimization",
volume = "9",
year = "1999",
pages = "207--216"
}
@techreport{ipm:Greenberg4,
author = "H. J. Greenberg",
title = "Rim sensitivity analysis from an interior solution",
type = "{Technical Report}",
number = "CCM--86",
year = "1996",
month = "October",
institution = "Center of Computational Mathematics, Department of
Mathematics, University of Colorado at Denver",
address = "Denver, CO~80217, USA"
}
@article{ipm:Grigoriadis1,
author = "M. D. Grigoriadis and L. G. Khachiyan",
title = "An interior point method for bordered block--diagonal linear
programs",
journal = "SIAM Journal on Optimization",
volume = "6",
year = "1996",
pages = "913--932"
}
@article{ipm:Groetschel1,
author = "M. Gr{\"o}tschel",
title = "{Patente f{\"u}r mathematische Algorithmen. (Patents for
mathematical algorithms)}",
journal = "Mitteilungen der Deutschen Mathematiker--Vereinigung",
volume = "{Heft 2}",
year = "1991",
month = "April",
pages = "52--56",
note = "(In German)"
}
@techreport{ipm:Grover1,
author = "L. K. Grover",
title = "Strongly polynomial interior point algorithm for a class of linear
programming problems",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Philadelphia,
PA, USA}",
year = "1990",
month = "October",
institution = "School of Electrical Engineering, Cornell University",
address = "Ithaca, NY~14853, USA"
}
@techreport{ipm:Grover2,
author = "L. K. Grover",
title = "Interior point methods for unimodular linear programming",
type = "{Technical Report}",
year = "1990",
institution = "School of Electrical Engineering, Cornell University",
address = "Ithaca, NY~14853, USA"
}
@techreport{ipm:Grover3,
author = "L. K. Grover",
title = "A force based approach to interior point algorithms for linear
programming",
type = "{Technical Report}",
year = "1990",
institution = "School of Electrical Engineering, Cornell University",
address = "Ithaca, NY~14853, USA"
}
@article{ipm:Grover4,
author = "L. K. Grover",
title = "Fast interior point methods for bipartite matching",
journal = "SIAM Journal on Optimization",
volume = "5",
year = "1995",
pages = "740--769"
}
@techreport{ipm:Gu1,
author = "M. Gu",
title = "On primal--dual interior point methods for semidefinite
programming",
type = "{CAM Technical Report}",
number = "97--12",
year = "1997",
month = "March",
institution = "Department of Mathematics, University of California",
address = "Los Angelos, CA, USA"
}
@techreport{ipm:Gueler1,
author = "O. G{\"u}ler and Y. Ye",
title = "Interior point algorithms for {LP} generate strictly complementary
solutions",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Nashville,
Tennessee, USA}",
year = "1991",
month = "May",
institution = "Department of Management Science, University of Iowa",
address = "Iowa City, IA~52242, USA"
}
@article{ipm:Gueler2,
author = "O. G{\"u}ler",
title = "Existence of interior points and interior paths in
nonlinear monotone complementarity problems",
journal = "Mathematics of Operations Research",
volume = "18",
number = "1",
year = "1993",
pages = "128--147"
}
@techreport{ipm:Gueler3,
author = "O. G{\"u}ler and Y. Ye",
title = "Convergence behavior of some interior point algorithms",
type = "{Working Paper}",
number = "91--04",
year = "1991",
institution = "Department of Management Science, University of Iowa",
address = "Iowa City, IA~52242, USA",
note = "To appear in {\em Mathematical Programming 1993}"
}
@techreport{ipm:Gueler4,
author = "O. G{\"u}ler",
title = "Path following and potential reduction algorithms for nonlinear
monotone complementarity problems",
type = "{Working Paper}",
year = "1991",
institution = "Department of Management Science, University of Iowa",
address = "Iowa City, IA~52242, USA"
}
@techreport{ipm:Gueler5,
author = "O. G{\"u}ler",
title = "An interior point algorithm for nonlinear monotone complementarity
problems",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Philadelphia,
PA, USA}",
year = "1990",
month = "October",
institution = "Department of Management Science, University of Iowa",
address = "Iowa City, IA~52242, USA"
}
@article{ipm:Gueler6,
author = "O. G{\"u}ler and {D. den} Hertog and C. Roos and T. Terlaky and
T. Tsuchiya",
title = "Degeneracy in interior point methods for linear programming",
journal = "Annals of Operations Research",
volume = "46/47",
year = "1993",
pages = "107--138"
}
@techreport{ipm:Gueler7,
author = "O. G{\"u}ler and C. Roos and T. Terlaky and J.--Ph. Vial",
title = "Interior point approach to the theory of linear programming",
type = "{Cahiers de Recherche}",
number = "1992.3",
year = "1992",
institution = "Faculte des Sciences Economique et Sociales, Universite de
Geneve",
address = "Geneve, Switzerland",
note = "To appear in {\em Management Science}"
}
@techreport{ipm:Gueler8,
author = "O. G{\"u}ler",
title = "Generalized linear complementarity problems and interior point
algorithms for their solutions",
type = "{Technical Report}",
year = "1992",
month = "April",
institution = "Faculty of Technical Mathematics and Computer Science,
TU Delft",
address = "NL--2600~GA~Delft, The Netherlands",
note ="See also G{\"u}ler \cite{ipm:Gueler14}"
}
@article{ipm:Gueler9,
author = "O. G{\"u}ler",
title = "Limiting behavior of the weighted central paths in linear
programming",
journal = "Mathematical Programming",
volume = "66",
year = "1994",
pages = "347--363"
}
@article{ipm:Gueler10,
author = "O. G{\"u}ler",
title = "Barrier functions in interior point methods",
journal = "Mathematics of Operations Research",
volume = "21",
year = "1996",
pages = "860--885"
}
@incollection{ipm:Gueler11,
author = "O. G{\"u}ler",
title = "Complexity of smooth convex programming and its applications",
booktitle = "Complexity in Numerical Optimization",
editor = "P. M. Pardalos",
year = "1993",
pages = "180--202",
publisher = "World Scientific Publishing Co.",
address = "London, United Kingdom"
}
@article{ipm:Gueler12,
author = "O. G{\"u}ler and L. Tun{\c c}el",
title = "Characterization of the barrier parameter of homogeneous convex
cones",
journal = "Mathematical Programming",
volume = "81",
year = "1998",
pages = "55--76"
}
@article{ipm:Gueler13,
author = "O. G{\"u}ler",
title = "On the self--concordance of the universal barrier function",
journal = "SIAM Journal on Optimization",
volume = "7",
year = "1997",
pages = "295--303"
}
@article{ipm:Gueler14,
author = "O. G{\"u}ler",
title = "Generalized linear complementarity problems",
journal = "Mathematics of Operations Research",
volume = "20",
year = "1995",
pages = "441--448",
note = "See also G{\"u}ler \cite{ipm:Gueler8}"
}
@article{ipm:Gueler15,
author = "O. G{\"u}ler",
title = "Hyperbolic polynomials and interior point methods for convex
programming",
journal = "Mathematics of Operations Research",
volume = "22",
year = "1997",
pages = "350--377"
}
@article{ipm:Gueler16,
author = "O. G{\"u}ler and C. Roos and T. Terlaky and J.--Ph. Vial",
title = "A survey of the implications of the behavior of the central path
for the duality theory of linear programming",
journal = "Management Science",
volume = "41",
year = "1995",
pages = "1922--1934"
}
@techreport{ipm:Gueler17,
author = "O. G{\"u}ler and L. Tun{\c c}el",
title = "Invariant barrier functions on homogeneous cones",
type = "{Research Report}",
number = "",
year = "1997",
month = "",
institution = "Department of Combinatorics and Optimization, Faculty of
Mathematics, University of Waterloo",
address = "Waterloo, Ontario, Canada",
note = "(In preparation)"
}
@techreport{ipm:Guenzel1,
author = "H. G{\"u}nzel",
title = "Linear programming\,: {The} central path extends analytically",
type = "{Preprint}",
number = "67",
year = "1996",
month = "February",
institution = "Lehrstuhl C f{\"u}r Mathematik, RWTH Aachen",
address = "Templergraben 55, D--52056 Aachen, Germany"
}
@article{ipm:Guo1,
author = "T.--D. Guo and S.--Q. Wu",
title = "Predictor--corrector algorithm for convex quadratic programming
with upper bounds",
journal = "Journal of Computational Mathematics",
volume = "13",
year = "1995",
pages = "161--171"
}
@article{ipm:Guo2,
author = "T.--D. Guo and S.--Q. Wu",
title = "An interior point algorithm for convex programming",
journal = "Qufu Shifan Daxue Xuebao Ziran Kexue Ban",
volume = "20",
number = "Suppl.",
year = "1994",
pages = "1--7",
note = "(In Chinese, English summary)"
}
@article{ipm:Guo3,
author = "T.--D. Guo and S.--Q. Wu",
title = "Interior point methods for convex quadratic programming",
journal = "Qufu Shifan Daxue Xuebao Ziran Kexue Ban",
volume = "20",
year = "1994",
pages = "51--62",
note = "(In Chinese, English summary)"
}
@article{ipm:Guo4,
author = "T.--D. Guo",
title = "An interior point method for convex quadratic programming based
on predictor--corrector procedure",
journal = "J. Qufu Norm. Univ., Nat. Sci.",
volume = "21",
year = "1995",
pages = "1--6",
note = "(In Chinese)"
}
@article{ipm:Guo5,
author = "T.--D. Guo and S. Wu",
title = "Properties of primal interior point methods for {QP}",
journal = "Optimization",
volume = "37",
year = "1996",
pages = "227--238"
}
@article{ipm:Guo6,
author = "T.--D. Guo and S. Wu",
title = "A modified homogeneous and self--dual linear programming
algorithm",
journal = "Systems Science and Mathematical Sciences",
volume = "8",
year = "1995",
pages = "270--277"
}
@article{ipm:Guo7,
author = "T.--D. Guo and F. Wu",
title = "Interior ellipsoid method for convex quadratic programming",
journal = "Acta Mathematica Applicatae Sinica (English Series)",
volume = "19(?)",
year = "1996",
pages = "46--50"
}
@article{ipm:Guo8,
author = "T.--D. Guo and F. Wu",
title = "An extension of predictor--corrector algorithm to a class of
convex separable program",
journal = "Acta Mathematica Applicatae Sinica (English Series)",
volume = "13",
year = "1997",
pages = "362--370"
}
@techreport{ipm:Gupta1,
author = "A. Gupta",
title = "Graph partitioning based sparse matrix orderings for
interior--point algorithms",
type = "{Technical Report}",
number = "RC\,20467\,(90480)",
year = "1996",
month = "May",
institution = "IBM Research Division, T.\,J.\,Watson Research Center",
address = "Yorktown Heights, New York, NY~10598",
url = "http://www.research.ibm.com:8080/"
}
@article{ipm:Gupta2,
author = "S. Gupta and N. S. Chaudhari",
title = "A primal--dual formulation of general linear programming
problem for {Karmarkar's} approach",
journal = "Journal of the Indian Academical Mathematics",
volume = "19",
year = "1997",
pages = "223--230"
}
@article{ipm:Gupta3,
author = "S. Gupta and N. S. Chaudhari",
title = "Study and implementation of a primal--dual
infeasible--interior--point algorithm",
journal = "Proceedings of the Mathematical Society",
volume = "12",
year = "1996",
pages = "41--46"
}
@article{ipm:Haeberly1,
author = "J.--P. A. Haeberly and M. L. Overton",
title = "Optimizing eigenvalues of symmetric definite pencils",
journal = "Proceedings of the 1994 American Control Conference
(Baltimore, MD, USA, June/July 1994)",
volume = "1",
year = "1994",
pages = "836--839"
}
@article{ipm:Haeberly2,
author = "J.--P. A. Haeberly and M. Nayakkankuppam and M. L. Overton",
title = "Extending {Mehrotra and Gondzio} higher order methods to
mixed semidefinite--quadratic--linear programming",
journal = "Optimization Methods and Software",
volume = "",
year = "1998/99",
pages = ""
}
@inbook{ipm:Haemmerlin1,
author = "G. H{\"a}mmerlin and K. H. Hoffmann",
title = "Numerische Mathematik",
chapter = "9.4.4\,: {Polynomiale Algorithmen}",
year = "1991",
pages = "424--430",
publisher = "Springer Verlag",
address = "Berlin, Germany",
edition = "second",
note = "(In German)"
}
@incollection{ipm:Hafsteinsson1,
author = "H. Hafsteinsson and R. Levkovitz and G. Mitra",
title = "Solving large scale linear programming problems using an interior
point method on a massively parallel {SIMD} computer",
booktitle = "",
editor = "D. J. Evans",
year = "1993",
pages = "301--316",
series = "Applied Parallel Computing",
volume = "4",
publisher = "Gordon and Breach Publishers",
address = "London, United Kingdom"
}
@techreport{ipm:Haglin1,
author = "D. Haglin and J. Kaliski and C. Roos and T. Terlaky",
title = "Logarithmic barrier decomposition methods for semi--definite
programming",
type = "{Technical Report}",
number = "96--51",
year = "1996",
institution = "Faculty of Technical Mathematics and Informatics, TU Delft",
address = "NL--2628~CD~Delft, The Netherlands"
}
@incollection{ipm:Hajian1,
author = "M. Hajian and R. Levkovitz and G. Mitra",
title = "A branch and bound algorithm for discrete programming using
the interior point method and the simplex method",
booktitle = "Symposium on Applied Mathematical Programming and Modeling
(APMOD '93), Budapest, Hungary, January 1993, Volume of Extended Abstracts",
editor = "I. Maros",
year = "1992",
month = "December",
pages = "257--265",
publisher = "Computer and Automation Institute, Hungarian Academy of
Sciences",
address = "Budapest, Hungary"
}
@article{ipm:Halicka1,
author = "M. Halick{\'a} and M. Hamala",
title = "Duality of transformation functions in the interior point methods",
journal = "Acta Mathematica Universitatis Comenianae (Comenius
University Czechoslovakia)",
volume = "65",
year = "1996",
pages = "229--245"
}
@article{ipm:Halicka2,
author = "M. Halick{\'a}",
title = "Analytic properties of the central path at boundary point in
linear programming",
journal = "Mathematical Programming",
volume = "84",
year = "1999",
pages = "335--355"
}
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author = "L. A. Hall and R. J. Vanderbei",
title = "Two--third is sharp for affine scaling",
journal = "Operations Research Letters",
volume = "13",
year = "1993",
pages = "197--201"
}
@article{ipm:Hamala1,
author = "M. Hamala",
title = "A general approach to interior point transformation methods
for mathematical programming",
journal = "Acta Mathematica Universitatis Comenianae (Comenius
University Czechoslovakia)",
volume = "54/55",
year = "1989",
pages = "243--266"
}
@article{ipm:Hamilton1,
author = "B. C. Hamilton and D. E. Stein",
title = "{AT~\&~T's KORBX System\,: Solving} the unsolvable",
journal = "AT~\&~T Technology",
volume = "4",
number = "3",
year = "1989",
pages = "36--41"
}
@techreport{ipm:Han1,
author = "C. G. Han and P. M. Pardalos and Y. Ye",
title = "Interior point approaches to nonconvex programming",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Philadelphia,
PA, USA}",
year = "1990",
month = "October",
institution = "Computer Science Department, The Pennsylvania State
University",
address = "University Park, PA~16802, USA"
}
@incollection{ipm:Han2,
author = "C. G. Han and P. M. Pardalos and Y. Ye",
title = "Computational aspect of an interior point algorithm for quadratic
programming problems with box constraints",
booktitle = "Large--Scale Numerical Optimization, Papers from the Workshop
held at Cornell University, Ithaca, NY, USA, October 1989",
series = "SIAM Proceedings in Applied Mathematics",
volume = "46",
year = "1990",
pages = "92--112",
editor = "T. F. Coleman and Y. Li",
publisher = "Society of Industrial and Applied Mathematics (SIAM)",
address = "Philadelphia, PA, USA"
}
@techreport{ipm:Han3,
author = "C. G. Han and P. M. Pardalos and Y. Ye",
title = "On potential reduction algorithms for some entropy optimization
problems",
type = "{Technical Report}",
number = "CS--91--02",
year = "1991",
institution = "Computer Science Department, The Pennsylvania State
University",
address = "University Park, PA~16802, USA"
}
@techreport{ipm:Han4,
author = "C. G. Han and P. M. Pardalos and Y. Ye",
title = "Solving some engineering problems using an interior--point
algorithm",
type = "{Technical Report}",
number = "CS--91--04",
year = "1991",
institution = "Computer Science Department, The Pennsylvania State
University",
address = "University Park, PA~16802, USA"
}
@article{ipm:Han5,
author = "C. G. Han and P. M. Pardalos and Y. Ye",
title = "On the solution of indefinite quadratic problems using an interior
point algorithm",
journal = "Informatica",
volume = "3",
year = "1992",
pages = "474--496"
}
@article{ipm:Han6,
author = "C. G. Han and P. M. Pardalos and Y. Ye",
title = "Interior point algorithms for quadratic programming problems",
journal = "Proceedings of the Conference on Optimization Methods and Their
Applications (Nauka, USSR)",
year = "1990",
pages = "194--213",
note = "(In Russian)"
}
@article{ipm:Han7,
author = "C. G. Han and P. M. Pardalos and Y. Ye",
title = "Implementation of interior--point algorithms for some entropy
optimization problems",
journal = "Optimization Methods and Software",
volume = "1",
year = "1992",
pages = "71--80"
}
@article{ipm:Handschin1,
author = "E. Handschin and M. Langer and E. Kliokys",
title = "Interior point method for state estimation with current
magnitude measurements and inequality constraints",
journal = "Proceedings of the 1995 IEEE Power Industry Computer
Application Conference (Salt Lake City, UT, USA, 1995)",
volume = "",
year = "1995",
pages = "385--391",
note = "See also Kliokys et al. \cite{ipm:Kliokys1}"
}
@article{ipm:Hane1,
author = "C. A. Hane and C. Barnhart and E. L. Johnson and R. E. Marsten
and G. L. Nemhauser and G. Sigismondi",
title = "The fleet assignment problem\,: {Solving} a large--scale integer
program",
journal = "Mathematical Programming",
volume = "70",
year = "1995",
pages = "211--232"
}
@article{ipm:Harker1,
author = "P. T. Harker and B. Xiao",
title = "A polynomial--time algorithm for affine variational inequalities",
journal = "Applied Mathematics Letters",
volume = "4",
number = "2",
year = "1991",
pages = "31--34"
}
@techreport{ipm:Haverly1,
author = "C. A. Haverly",
title = "Behavior of the simplex and {Karmarkar} algorithms",
type = "{Talk held at the 12th Symposium on Mathematical Programming in
Cambridge, MA, USA}",
year = "1985",
institution = "Haverly Systems Inc.",
address = "Denville, NJ~07834, USA"
}
@techreport{ipm:Haverly2,
author = "C. A. Haverly",
title = "Studies on behavior of the {Karmarkar} method",
type = "{Technical Report}",
year = "1985",
institution = "Haverly Systems Inc.",
address = "Denville, NJ~07834, USA"
}
@techreport{ipm:Haverly3,
author = "C. A. Haverly",
title = "Results of a new series of case runs using {Karmarkar's} algorithm",
type = "{Technical Report}",
year = "1985",
institution = "Haverly Systems Inc.",
address = "Denville, NJ~07834, USA"
}
@article{ipm:He1,
author = "B. He and {E. de} Klerk and C. Roos and T. Terlay",
title = "Method of approximate centers for semi--definite programming",
journal = "Optimization Methods and Software",
volume = "7",
year = "1997",
pages = "291--309"
}
@techreport{ipm:Heindl1,
author = "G. Heindl",
title = "{Eine Implementierung des Karmarkar Verfahrens~(An implementation
of Karmarkar's algorithm)}",
type = "{Interner Bericht der intergrierten Arbeitsgruppe Mathematische
Probleme aus dem Ingenieurbereich}",
year = "1985",
month = "February",
institution = "Fachbereich Mathematik, Gesamthochschule Wuppertal",
address = "D--42097~Wuppertal~1, Germany",
note = "(In German)"
}
@techreport{ipm:Heinkenschloss1,
author = "M. Heinkenschloss and L. N. Vicente",
title = "Analysis of inexact trust--region interior--point {SQP} algorithms",
type = "{Technical Report}",
number = "TR~95--18",
year = "1995",
institution = "Department of Computational and Applied Mathematics, Rice
University",
address = "Houston, TX~77251, USA"
}
@phdthesis{ipm:Helmberg1,
author = "C. Helmberg",
title = "An interior point method for semi--definite programming and
max--cut bounds",
year = "1994",
month = "October",
school = "Department of Mathematics, Graz University of Technology",
address = "A--8010 Graz, Austria"
}
@article{ipm:Helmberg2,
author = "C. Helmberg and F. Rendl and R. J. Vanderbei and H. Wolkowicz",
title = "An interior--point method for semidefinite programming",
journal = "SIAM Journal on Optimization",
volume = "6",
year = "1996",
pages = "342--361"
}
@techreport{ipm:Helmberg3,
author = "C. Helmberg",
title = "Fixing variables in semidefinite relaxations",
type = "{Preprint}",
number = "SC--96--43",
year = "1996",
month = "December",
institution = "Konrad--Zuse Zentrum f{\"u}r Informationstechnik Berlin",
address = "D--14195~Berlin--Dahlem, Germany"
}
@techreport{ipm:Helmberg4,
author = "C. Helmberg and F. Rendl",
title = "A spectral bundle method for semidefinite programming",
type = "{ZIB Preprint}",
number = "SC--97--37",
year = "1997",
month = "August",
institution = "Konrad--Zuse Zentrum f{\"u}r Informationstechnik Berlin",
address = "D--14195~Berlin--Dahlem, Germany"
}
@incollection{ipm:Helmberg5,
author = "C. Helmberg and S. Poljak and F. Rendl and H. Wolkowicz",
title = "Combining semidefinite and polyhedral relaxations for integer
programs",
booktitle = "Integer Programming and Combinatorial Optimization
(Proceedings of the 4th International IPCO Conference, Copenhagen,
Denmark, May 1995)",
editor = "E. Balas and J. Clausen",
year = "1995",
pages = "124--134",
series = "Lecture Notes in Computer Science",
volume = "920",
publisher = "Springer Verlag",
address = "Berlin, Germany"
}
@article{ipm:Helmke1,
author = "U. Helmke",
title = "Isospectral flows and linear programming",
journal = "Journal of the Australian Mathematical Society, Series\,B",
volume = "34",
year = "1993",
pages = "495--510"
}
@techreport{ipm:Hemmer1,
author = "G. M. Hemmer",
title = "Computational issues in the interior point methods",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Orlando, FL,
USA}",
year = "1992",
month = "April",
institution = "Department of Mathematics, Northwestern Illinois
University",
address = "Chicago, IL~60625, USA"
}
@techreport{ipm:Hernandez1,
author = "S. Hernandez and J. Mata and J. Doria",
title = "Optimization of large structural systems by using {Karmarkar's}
method",
type = "{Talk held at the Fourth SIAM Conference on Optimization in Chicago,
IL, USA}",
year = "1992",
month = "May",
institution = "University of Zaragoza",
address = "Zaragoza, Spain"
}
@techreport{ipm:Herskovits1,
author = "J. Herskovits and J. Asquier",
title = "A quasi--{N}ewton interior point algorithm for nonlinear
constrained optimization",
type = "{Talk held at the DGOR--Jahrestagung in Vienna, Austria}",
year = "1990",
month = "August",
institution = "Center of Technology, COPPE Federal University of Rio de
Janeiro",
address = "21941 Rio de Janeiro, Brazil"
}
@article{ipm:Herskovits2,
author = "J. Herskovits and E. Laporte and P. {Le~Tallec} and G. Santos",
title = "A quasi--{Newton} interior point algorithm applied to constrained
optimum design in computational fluid dynamics",
journal = "Revue Europ{\'e}enne des {\'E}l{\'e}ments Finis",
volume = "5",
year = "1996",
pages = "595--617"
}
@mastersthesis{ipm:Hertog1,
author = "{D. den} Hertog",
title = "Interior point methods for linear programming",
year = "1989",
month = "May",
school = "Faculty of Mathematics and Informatics, TU Delft",
address = "NL--2628~BL~Delft, The Netherlands"
}
@article{ipm:Hertog2,
author = "{D. den} Hertog and C. Roos",
title = "A survey of search directions in interior point methods for
linear programming",
journal = "Mathematical Programming",
volume = "52",
year = "1991",
pages = "481--509"
}
@techreport{ipm:Hertog3,
author = "{D. den} Hertog and C. Roos and T. Terlaky",
title = "A potential reduction method for a class of smooth convex
programming problems",
type = "{Technical Report}",
number = "90--01",
year = "1990",
institution = "Faculty of Mathematics and Informatics, TU Delft",
address = "NL--2628~BL~Delft, The Netherlands",
note = "Rewritten in den Hertog et al.\ \cite{ipm:Hertog12}"
}
@article{ipm:Hertog4,
author = "{D. den} Hertog and C. Roos and T. Terlaky",
title = "On the classical logarithmic barrier function method for a class of
smooth convex programming problems",
journal = "Journal of Optimization Theory and Applications",
volume = "73",
year = "1992",
pages = "1--25"
}
@techreport{ipm:Hertog5,
author = "{D. den} Hertog and C. Roos and J.--Ph. Vial",
title = "An ${O(n^{0.5}L)}$ complexity reduction for long step path
following methods for linear programming",
type = "Revised version of {Technical Report}",
number = "89--85",
year = "1990",
institution = "Faculty of Mathematics and Informatics, TU Delft",
address = "NL--2628~BL~Delft, The Netherlands",
note = "Rewritten in den Hertog et al.\ \cite{ipm:Hertog10}"
}
@article{ipm:Hertog6,
author = "{D. den} Hertog and C. Roos and T. Terlaky",
title = "A potential reduction variant of {R}enegar's short--step
path--following method for linear programming",
journal = "Linear Algebra and Its Applications",
volume = "152",
year = "1991",
pages = "43--68"
}
@article{ipm:Hertog7,
author = "{D. den} Hertog and C. Roos and T. Terlaky",
title = "Inverse barrier methods for linear programming",
journal = "R.A.I.R.O. Recherche Operationnelle/Operations Research",
volume = "28",
year = "1994",
pages = "123--133"
}
@article{ipm:Hertog8,
author = "{D. den} Hertog and C. Roos and T. Terlaky",
title = "A polynomial method of weighted centers for convex quadratic
programming",
journal = "Journal of Information \& Optimization Sciences",
volume = "12",
number = "2",
year = "1991",
pages = "187--205"
}
@article{ipm:Hertog9,
author = "{D. den} Hertog and C. Roos and T. Terlaky",
title = "A build--up variant of the path--following method for {LP}",
journal = "Operations Research Letters",
volume = "12",
year = "1992",
pages = "181--186"
}
@article{ipm:Hertog10,
author = "{D. den} Hertog and C. Roos and J.--Ph. Vial",
title = "A complexity reduction for the long--step path--following
algorithm for linear programming",
journal = "SIAM Journal on Optimization",
volume = "2",
year = "1992",
pages = "71--87"
}
@techreport{ipm:Hertog11,
author = "{D. den} Hertog and C. Roos and J.--Ph. Vial",
title = "Polynomial--time long--steps algorithms for linear programming
based on the use of the logarithmic barrier function",
type = "{Unpublished Manuscript}",
year = "1990",
institution = "Faculty of Mathematics and Informatics, TU Delft",
address = "NL--2628~BL~Delft, The Netherlands",
note = "Talk given by C. Roos at the Conference on Progress in
Mathematical Programming in Asilomar, CA, USA, February 1990"
}
@article{ipm:Hertog12,
author = "{D. den} Hertog and C. Roos and T. Terlaky",
title = "A large--step analytic center method for a class of smooth convex
programming problems",
journal = "SIAM Journal on Optimization",
volume = "2",
year = "1992",
pages = "55--70"
}
@incollection{ipm:Hertog13,
author = "{D. den} Hertog and C. Roos and T. Terlaky",
title = "Adding and deleting constraints in a path--following method for
linear programming",
booktitle = "Advances in Optimization and Approximation",
editor = "D.--Z. Du and J. Sun",
year = "1994",
pages = "166--185",
series = "Nonconvex Optimization and Its Applications",
volume = "1",
publisher = "Kluwer Academic Publishers",
address = "Dordrecht, The Netherlands"
}
@article{ipm:Hertog14,
author = "{D. den} Hertog and C. Roos and T. Terlaky",
title = "On the monotonicity of the dual objective along barrier paths",
journal = "Mathematical Programming Society Committee on Algorithms (COAL)
Bulletin",
volume = "20",
year = "1992",
pages = "2--7"
}
@techreport{ipm:Hertog15,
author = "{D. den} Hertog and C. Roos and T. Terlaky",
title = "Iri's polynomiality proof for the {Iri--Imai} method recast",
type = "{Technical Report}",
number = "91--74",
year = "1991",
institution = "Faculty of Mathematics and Informatics, TU Delft",
address = "NL--2628~BL~Delft, The Netherlands"
}
@book{ipm:Hertog16,
author = "{D. den} Hertog",
title = "{Interior Point Approach to Linear, Quadratic and Convex
Programming, Algorithms and Complexity}",
year = "1994",
series = "Mathematics and Its Applications",
volume = "277",
publisher = "Kluwer Academic Publishers",
address = "Dordrecht, The Netherlands"
}
@techreport{ipm:Hertog17,
author = "{D. den} Hertog and F. Jarre and C. Roos and T. Terlaky",
title = "A unifying investigation of interior--point methods for
convex programming",
type = "{Technical Report}",
number = "92--89",
year = "1992",
institution = "Faculty of Mathematics and Informatics, TU Delft",
address = "NL--2628~BL~Delft, The Netherlands"
}
@article{ipm:Hertog18,
author = "{D. den} Hertog and J. A. Kaliski and C. Roos and T. Terlaky",
title = "A note on central cutting plane methods for convex programming",
journal = "Annals of Operations Research",
volume = "58",
year = "1995",
pages = "69--98"
}
@article{ipm:Hertog19,
author = "{D. den} Hertog and J. A. Kaliski and C. Roos and T. Terlaky",
title = "A logarithmic barrier cutting plane method for convex programming",
journal = "Annals of Operations Research",
volume = "58",
year = "1995",
pages = "69--98"
}
@article{ipm:Hertog20,
author = "{D. den} Hertog and F. Jarre and C. Roos and T. Terlaky",
title = "A sufficient condition for self--concordance, with application
to some classes of structured convex programming problems",
journal = "Mathematical Programming",
volume = "69",
year = "1995",
pages = "75--88"
}
@article{ipm:Herzel1,
author = "S. Herzel and M. C. Recchioni and F. Zirilli",
title = "A quadratically convergent method for linear programming",
journal = "Linear Algebra and Its Applications",
volume = "152",
year = "1991",
pages = "255--289"
}
@article{ipm:Herzel2,
author = "S. Herzel and M. J. Todd",
title = "Two interior--point algorithms for a class of convex programming
problems",
journal = "Optimization Methods and Software",
volume = "5",
year = "1995",
pages = "27--55"
}
@article{ipm:Hettich1,
author = "R. Hettich and G. Margraff",
title = "Some experiments with {Karmarkar's} algorithm",
journal = "Optimization",
volume = "19",
year = "1988",
pages = "653--664"
}
@article{ipm:Hettich2,
author = "R. Hettich and M. Ries",
title = "A modified scaling algorithm for {LP}",
journal = "Optimization",
volume = "21",
year = "1990",
pages = "709--721"
}
@inbook{ipm:Hillier1,
author = "F. S. Hillier and G. J. Lieberman",
title = "Introduction to Operations Research",
chapter = "4.9\,: {N}ew developments, pages 100--104, chapter\,9.4\,: {A}n
interior--point algorithm",
year = "1990",
pages = "312--323",
publisher = "McGraw--Hill",
address = "",
edition = "fifth"
}
@techreport{ipm:Hipolito1,
author = "A. Hipolito",
title = "A long step inverse barrier hybrid algorithm for linear
programming",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Orlando, FL,
USA}",
year = "1992",
month = "April",
institution = "Department of Industrial and Systems Engineering,
University of Florida",
address = "Gainesville, FL~32611, USA",
note = "See Hipolito \cite{ipm:Hipolito2}"
}
@techreport{ipm:Hipolito2,
author = "A. Hipolito",
title = "A long step linear programming algorithm based on
quasi--{Newton} inverse barrier centering",
type = "{Research Report}",
number = "91--12",
year = "1991",
month = "October",
institution = "Department of Industrial and Systems Engineering,
University of Florida",
address = "Gainesville, FL~32611, USA"
}
@article{ipm:Hipolito3,
author = "A. L. Hipolito",
title = "A weighted least squares study of robustness in interior point
linear programming",
journal = "Computational Optimization and Applications",
volume = "2",
year = "1993",
pages = "29--46"
}
@techreport{ipm:Hipolito4,
author = "A. Hipolito and D. W. Hearn",
title = "An interior point based bundle method for decomposition and
nonsmooth optimization",
type = "{Manuscript}",
year = "1995",
institution = "Department of Industrial and Systems Engineering,
University of Florida",
address = "Gainesville, FL~32611, USA",
note = "(In preparation)"
}
@techreport{ipm:Ho1,
author = "J. K. Ho",
title = "Linear programming with spreadsheet macros",
type = "{Technical Report}",
year = "1987",
institution = "Management Science Program, University of Tennessee",
address = "615--SMC, Knoxville, TN~37996--0562, USA"
}
@article{ipm:Hoffmann1,
author = "A. J. Hoffmann and M. Mannos and D. Sokolowsky and N. Wiegmann",
title = "Computational experience in solving linear programs",
journal = "Journal of the Society for Industrial and Applied Mathematics
(SIAM)",
volume = "1",
year = "1953",
pages = "17--33"
}
@mastersthesis{ipm:Honig1,
author = "R. Honig and G. I. Balistreri",
title = "Implementation of the {Karmarkar} algorithm on a transputer
network",
year = "1989",
month = "October",
school = "Faculty of Electrical Engineering, Delft University of Technology",
address = "NL--2628~BL~Delft, The Netherlands"
}
@article{ipm:Hooker1,
author = "J. N. Hooker",
title = "Karmarkar's linear programming algorithm",
journal = "Interfaces",
volume = "16",
number = "4",
year = "1986",
pages = "75--90",
note = "Errata in {\em Interfaces}, 17(1):128, 1987"
}
@article{ipm:Hotta1,
author = "K. Hotta and A. Yoshise",
title = "Global convergence of a class of non--interior--point algorithms
using {Chen--Harker--Kanzow} functions for nonlinear complementary
problems",
journal = "S{\= u}rikaisekikenky{\= u}sho K{\= o}ky{\= u}roku",
volume = "1004",
year = "1997",
pages = "40--70"
}
@techreport{ipm:Hotta2,
author = "K. Hotta and M. Inaba and A. Yoshise",
title = "A complexity analysis of a smoothing method using
{Chen--Harker--Kanzow--S--functions} for monotone linear complementarity
problems",
type = "{Discussion Paper Series}",
number = "807",
year = "1999",
institution = "Institute of Policy and Planning Sciences, University of
Tsukuba",
address = "Tsukuba, Ibaraki 305, Japan"
}
@techreport{ipm:Houck1,
author = "D. Houck",
title = "Introduction to the {AT~\&~T~KORBX System}",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Denver, CO,
USA}",
year = "1988",
month = "October",
institution = "AT~\&~T Bell Laboratories",
address = "Holmdel, NJ~07733, USA"
}
@techreport{ipm:Hough1,
author = "P. D. Hough and S. A. Vavasis",
title = "Complete orthogonal decomposition for weighted least squares",
type = "{Preprint}",
year = "1995",
month = "March",
institution = "School of Operations Research and Industrial Engineering,
Cornell University",
address = "Ithaca, NY~14853, USA"
}
@techreport{ipm:Housos1,
author = "E. C. Housos and C. C. Huang and J. M. Liu",
title = "Parallel vector computational considerations on the
{AT~\&~T~KORBX System}",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Denver, CO,
USA}",
year = "1988",
month = "October",
institution = "AT~\&~T~Bell Laboratories",
address = "Holmdel, NJ~07733, USA"
}
@article{ipm:Housos2,
author = "E. C. Housos and C. C. Huang and J. M. Liu",
title = "Parallel algorithms for the {AT~\&~T~KORBX System}",
journal = "AT~\&~T~Technical Journal",
volume = "68",
year = "1989",
pages = "37--47"
}
@article{ipm:Hsieh1,
author = "Y.--C. Hsieh and D. L. Brucker",
title = "New infeasible interior--point algorithm based on monomial method",
journal = "Computers and Operations Research",
volume = "23",
year = "1996",
pages = "653--666"
}
@misc{ipm:Hu1,
author = "T. C. Hu",
title = "Linear programming algorithms and computational results",
year = "1987",
address = "Department of Computer Science, University of California,
La Jolla, CA 92093, USA",
note = "Panel--Discussion at the ORSA/TIMS Joint National Meeting in
St.~Louis, October 1987"
}
@techreport{ipm:Huang1,
author = "S. Huang",
title = "A primal--dual algorithm for linear programming",
type = "{Technical Report}",
year = "1989",
institution = "College of Business Administration, University of Iowa",
address = "Iowa City, IA~52240, USA"
}
@techreport{ipm:Huang2,
author = "S. Huang and K. O. Kortanek",
title = "A simultaneous primal-- and dual--potential reduction algorithm for
linear programming",
type = "{Working Paper Series}",
number = "89--2",
year = "1989",
institution = "College of Business Administration, University of Iowa",
address = "Iowa City, IA~52240, USA"
}
@techreport{ipm:Huang3,
author = "S. Huang and K. O. Kortanek",
title = "A large--step simultaneous primal--dual potential reduction
algorithm for {LP}",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Philadelphia,
PA, USA}",
year = "1990",
month = "October",
institution = "College of Business Administration, University of Iowa",
address = "Iowa City, IA~52240, USA"
}
@article{ipm:Huang4,
author = "S. Huang and K. O. Kortanek",
title = "A note on a potential reduction algorithm for {LP} with
simultaneous primal--dual updating",
journal = "Operations Research Letters",
volume = "10",
year = "1991",
pages = "501--507"
}
@techreport{ipm:Huang5,
author = "S. Huang and J. Ji and F. Potra",
title = "A superlinearity convergent {$O(\sqrt{n} L)$}--iteration
predictor--corrector algorithm for linear complementarity problems",
type = "{Talk held at the Fourth SIAM Conference on Optimization in Chicago,
IL, USA}",
year = "1992",
month = "May",
institution = "College of Business Administration, University of Iowa",
address = "Iowa City, IA~52240, USA"
}
@techreport{ipm:Huang6,
author = "S. Huang and Y. Ye",
title = "On the average number of iterations of the polynomial
interior--point algorithms for linear programming",
type = "{Working Paper Series}",
number = "91--16",
year = "1991",
institution = "Department of Management Sciences, University of Iowa",
address = "Iowa City, IA~52240, USA"
}
@article{ipm:Huang7,
author = "S. Huang and K. O. Kortanek",
title = "On the length of primal--dual projection of potential reduction
algorithm",
journal = "Optimization",
volume = "34",
year = "1995",
pages = "161--171"
}
@article{ipm:Huang8,
author = "S. Huang and K. O. Kortanek",
title = "A hybrid polynomial algorithm for linear programming",
journal = "Systems Science and Mathematical Sciences",
volume = "9",
year = "1996",
pages = "67--75"
}
@article{ipm:Huang9,
author = "C. Huang and B. Yu and Y. Wang",
title = "A new interior path following method for nonconvex nonlinear
programming",
journal = "Northeastern Mathematical Journal",
volume = "13",
year = "1997",
pages = "257--260"
}
@incollection{ipm:Huard1,
author = "P. Huard",
title = "Resolution of mathematical programming with nonlinear constraints
by the method of centers",
booktitle = "Nonlinear Programming",
editor = "J. Abadie",
year = "1967",
pages = "207--219",
publisher = "North Holland",
address = "Amsterdam, The Netherlands"
}
@incollection{ipm:Huard2,
author = "P. Huard",
title = "A method of centers by upper--bounding functions with applications",
booktitle = "Nonlinear Programming\,: Proceedings of a Symposium held at the
University of Wisconsin, Madison, Wisconsin, USA, May 1970",
editor = "J. B. Rosen and O. L. Mangasarian and K. Ritter",
year = "1970",
pages = "1--30",
publisher = "Academic Press",
address = "New York, USA"
}
@article{ipm:Huard3,
author = "P. Huard and B. T. Lieu",
title = "La methode des centres dans un espace topologique",
journal = "Numerische Mathematik",
volume = "8",
year = "1968",
pages = "56--67",
note = "(In French)"
}
@phdthesis{ipm:Huhn1,
author = "P. Huhn",
title = "{Schranken f{\"u}r die durchschnittliche Laufzeit des
Simplexverfahrens und von Innere--Punkte--Verfahren (Bounds for the
average running time of the simplex--method and od interior--point
methods)}",
year = "1997",
month = "August",
school = "Mathematische Naturwissentschaftliche Fakult{\"a}t,
Universit{\"a} Augsburg",
address = "Augsburg, Germany",
note = "In German, English Summary. Published as\,:
{\it{Augsburger Mathematisch--Naturwissentschaftliche Schriften 16,
223pp., Dr.\, Bernd Wi{\ss}ner Verlag, Augsburg, Germany,
ISBN\,3--89639--067--8, 1997}}"
}
@techreport{ipm:Hung1,
author = "P. F. Hung and Y. Ye",
title = "An asymptotically {$O(\sqrt{n}L)$} iteration algorithm that uses
long steps",
type = "{Technical Report}",
year = "1994",
month = "March",
institution = "Department of Management Science, University of Iowa",
address = "Iowa City, IA~52242, USA",
note = "See also Hung and Ye \cite{ipm:Hung2}"
}
@article{ipm:Hung2,
author = "P. F. Hung and Y. Ye",
title = "An asymptotical $O(\sqrt{n}L)$--iteration path--following linear
programming algorithm that uses wide neighborhoods",
journal = "SIAM Journal on Optimization",
volume = "6",
year = "1996",
pages = "570--586"
}
@article{ipm:Hurd1,
author = "J. K. Hurd and F. H. Murphy",
title = "Exploiting special structure in primal dual interior point methods",
journal = "ORSA Journal on Computing",
volume = "4",
year = "1992",
pages = "38--44"
}
@article{ipm:Hwang1,
author = "T.--M. Hwang and C.--H. Lin and W.--W. Lin and S.--C. Fang",
title = "A relaxed primal--dual path following algorithm for linear
programming",
journal = "Annals of Operations Research",
volume = "62",
year = "1996",
pages = "173--196"
}
@inbook{ipm:Ignizio1,
author = "J. P. Ignizio and T. M. Cavalier",
title = "{Linear Programming}",
chapter = "7\,: {Alternatives} to the simplex algorithm",
pages = "247--271",
year = "1994",
publisher = "Prentice Hall",
address = "Englewood Cliffs, NJ~07632, USA"
}
@techreport{ipm:Ikura1,
author = "Y. Ikura and D. Stein",
title = "Computational experience with a {Karmarkar--based} approach to
solve multi--period, multi--refinery production models",
type = "{Talk held at the 12th Triennial Conference on Operations Research
in Athens, Greece}",
year = "1990",
month = "June",
institution = "AT~\&~T~Bell Laboratories"
}
@incollection{ipm:Illes1,
author = "T. Ill{\'e}s and C. Roos and T. Terlaky",
title = "Polynomial affine--scaling algorithms for ${P_{*}(\kappa)}$ linear
complementarity problems",
booktitle = "{Recent Advances in Optimization (Trier, Germany, 1996)}",
editor = "P. Gritzmann and R. Horst and E. Sachs and R. Tichatschke",
series = "Lecture Notes in Economics and Mathematical Systems",
volume = "452",
pages = "119--137",
year = "1997",
publisher = "Springer Verlag",
address = "Berlin, Germany"
}
@techreport{ipm:Illes2,
author = "T. Ill{\'e}s and J. Peng and C. Roos and T. Terlaky",
title = "A strongly polynomial rounding procedure yielding a
maximally complementary solution for {$P_*(\kappa)$} linear
complementarity problems",
type = "{Technical Report}",
number = "98--15",
year = "1998",
month = "July",
institution = "Faculty of Information Technology and Systems Subfaculty
of Technical Mathematics and Informatics, Department of Statistics,
Stochastic and Operations Research, Delft University of Technology,",
address = "P.O. Box 5031, 2600 GA Delft, The Netherlands"
}
@article{ipm:Imae1,
author = "J. Imae and T. Furudate and S. Sugawara",
title = "A simple numerical method for minimizing the maximum eigenvalues
of symmetric matrices via nonlinear differential equation solvers",
journal = "Proceedings of the 35th IEEE conference on Decision and Control",
volume = "4/4",
year = "1996",
pages = "4514--4525"
}
@article{ipm:Imai1,
author = "H. Imai",
title = "Extensions of the multiplicative penalty function for linear
programming",
journal = "Journal of the Operations Research Society of Japan",
volume = "30",
year = "1987",
pages = "160--179"
}
@article{ipm:Imai2,
author = "H. Imai",
title = "On the convexity of the multiplicative version of {Karmarkar's}
potential function",
journal = "Mathematical Programming",
volume = "40",
year = "1988",
pages = "29--32"
}
@article{ipm:Imai3,
author = "H. Imai",
title = "Recent trends in linear programming",
journal = "Journal of the Institute of Electronics, Information and
Communication Engineers (Japan)",
volume = "72",
number = "10",
year = "1989",
pages = "1053--1058",
note = "(In Japanese)"
}
@article{ipm:Imai4,
author = "H. Imai",
title = "On the polynomiality of the multiplicative penalty function
method for linear programming and related inscribed ellipsoids",
journal = "Transactions of the Institute of Electronics, Information
and Communication Engineers (Japan)",
volume = "E74",
number = "4",
year = "1991",
month = "April",
pages = "669--671"
}
@techreport{ipm:IBM1,
key = "IBM1",
title = "{\emph{Optimization Subroutine Library (OSL)\,: Guide and References}}",
type = "Manual",
institution = "IBM Corporation",
address = "Kingston, USA",
year = "1991",
note = "See also Forrest and Tomlin \cite{ipm:Forrest2}",
url = "http://www.research.ibm.com/osl/"
}
@techreport{ipm:Iri1,
author = "M. Iri",
title = "Another 'simple and fast' algorithm for linear programming",
type = "{Talk held at the 12th Symposium on Mathematical Programming in
Cambridge, MA, USA}",
year = "1985",
institution = "Department of Mathematical Engineering and Instrumentation
Physics, University of Tokyo",
address = "Tokyo, Japan"
}
@article{ipm:Iri2,
author = "M. Iri",
title = "Integrability of vector and polyvector fields associated
with interior point methods",
journal = "Mathematical Programming",
volume = "52",
year = "1991",
pages = "511--525"
}
@article{ipm:Iri3,
author = "M. Iri and H. Imai",
title = "A multiplicative penalty function for linear programming--
another ''new and fast'' algorithm",
journal = "Proceedings of the 6th Mathematical Programming Symposium of
Japan, Tokyo, Japan",
year = "1985",
pages = "97--120"
}
@article{ipm:Iri4,
author = "M. Iri and H. Imai",
title = "A multiplicative barrier function method for linear
programming",
journal = "Algorithmica",
volume = "1",
number = "4",
year = "1986",
pages = "455--482"
}
@incollection{ipm:Iri5,
author = "M. Iri and H. Imai",
title = "Theory of the multiplicative penalty function method for linear
programming",
booktitle = "Discrete Algorithms and Complexity\,: Proceedings of the
Japan--US Joint Seminar, Kyoto, Japan, June 1986",
editor = "D. S. Johnson and T. Nishizeki and A. Nozaki and H. S. Wilf",
year = "1987",
pages = "417--435",
publisher = "Academic Press",
address = "New York"
}
@article{ipm:Iri6,
author = "M. Iri",
title = "A proof of the polynomiality of the {Iri--Imai} method for linear
programming",
journal = "Journal of Complexity",
volume = "9",
year = "1993",
pages = "269--290"
}
@article{ipm:Irisarri1,
author = "G. D. Irisarri and X. Wang and J. Tong and S. Mokhtari",
title = "Maximum loadability of power systems using interior point
nonlinear optimization method",
journal = "IEEE Transactions on Power Systems",
volume = "12",
year = "1997",
pages = "162--172"
}
@article{ipm:Irisarri2,
author = "G. D. Irisarri and L. M. Kimball and K. A. Clements and
A. Bagchi and P. W. Davis",
title = "Economic dispatch with network and ramping constraints via
interior point methods",
journal = "IEEE Transactions on Power Systems",
volume = "13",
year = "1998",
pages = "236--242"
}
@article{ipm:Ishihara1,
author = "T. Ishihara and M. Kojima",
title = "On the {\em big M} in the affine scaling algorithm",
journal = "Mathematical Programming",
volume = "62",
year = "1993",
pages = "85--93"
}
@article{ipm:Ito1,
author = "S. Ito and C. T. Kelley and E. W. Sachs",
title = "Inexact primal--dual interior point iteration for linear programs
in function spaces",
journal = "Computational Optimization and Applications",
volume = "4",
year = "1995",
pages = "189--201"
}
@article{ipm:Ito2,
author = "S. Ito",
title = "A primal--dual interior--point algorithm for state--constrained
{LQ} optimal control problems",
journal = "Proceedings of the 1995 American Control Conference (Seattle,
WA, USA, June 1995)",
volume = "3",
year = "1995",
pages = "2077--2078"
}
@article{ipm:Ito3,
author = "S. Ito",
title = "An interior point method for linear programming problems on a
function space",
journal = "Proceedings of the Institute Statistical Mathematics",
volume = "42",
year = "1994",
pages = "239--246",
note = "(In Japanese)"
}
@article{ipm:Iusem1,
author = "A. N. Iusem",
title = "An interior point multiplicative method for optimization under
positivity constraints",
journal = "Acta Applicatae Mathematicae",
volume = "38",
year = "1995",
pages = "163--184"
}
@article{ipm:Iusem2,
author = "A. N. Iusem and B. F. Svaiter and M. Teboulle",
title = "Multiplicative interior gradient methods for minimization over the
nonnegative orthant",
journal = "SIAM Journal on Control and Optimization",
volume = "34",
year = "1996",
pages = "389--406"
}
@article{ipm:Iusem3,
author = "A. N. Iusem",
title = "An interior point method for the nonlinear complementarity problem",
journal = "Applied Numerical Mathematics",
volume = "24",
year = "1997",
pages = "469--482"
}
@techreport{ipm:Iusem4,
author = "A. Iusem and R. D. C. Monteiro",
title = "On dual convergence of the generalized proximal point method with
{Bregman} distances",
type = "{Manuscript}",
year = "1997",
month = "October",
institution = "School of Industrial and Systems Engineering, Georgia Institute
of Technology",
address = "Atlanta, GA~30322, USA"
}
@article{ipm:Izhutkin1,
author = "V. S. Izhutkin and M. V. Petropavlovski{\v{o}} and A. V. Blinov",
title = "The center and the barrier function methods using reduced
directions for the nonlinear programming problem",
journal = "Izvestiya Vyssihikh Uchebnykh Zavedemi{\v{i}} Matematika",
volume = "",
year = "1996",
pages = "30--41",
note = "(In Russian. Translated in {\emph{Russian Mathematics}})"
}
@article{ipm:Jamsek1,
author = "J. Jam{\u{s}}ek",
title = "Karmarkar's algorithm for linear programming",
journal = "Obzornik za Matematiko in Fiziko",
volume = "38",
number = "6",
year = "1991",
pages = "161--169",
note = "(In Slovenian, English summary)"
}
@techreport{ipm:Jan1,
author = "G. M. Jan and S.--C. Fang",
title = "A variant of affine--scaling method for linear programming",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in New York, NY,
USA}",
year = "1989",
month = "October",
institution = "North Carolina State University",
address = "Raleigh, NC~27695-7913, USA",
note = "See Jan \cite{ipm:Jan3}, and Jan and Fang \cite{ipm:Jan2}"
}
@article{ipm:Jan2,
author = "G. M. Jan and S.--C. Fang",
title = "A new variant of the primal affine scaling method for linear
programs",
journal = "Optimization",
volume = "22",
number = "5",
year = "1991",
pages = "681--715"
}
@phdthesis{ipm:Jan3,
author = "G. M. Jan",
title = "A new variant of the primal affine scaling algorithm for linear
programs",
year = "1990",
month = "July",
school = "Department of Operations Research, North Carolina State
University",
address = "Raleigh, NC~27695-7913, USA"
}
@article{ipm:Janacek1,
author = "J. Janacek",
title = "{Perspektivy Karmarkarova algorithmu v linearnim programovani
(Perspectives of Karmarkar's algorithm in linear programming)}",
journal = "Ekonomicko--Matematicky Obzor (Czechoslovakia)",
volume = "25",
number = "1",
year = "1989",
pages = "50--63",
note = "(In Czech)"
}
@techreport{ipm:Jansen1,
author = "B. Jansen and C. Roos and T. Terlaky",
title = "An interior point approach to postoptimal and parametric analysis
in linear programming",
type = "{Technical Report}",
number = "92--21",
year = "1992",
month = "April",
institution = "Faculty of Technical Mathematics and Informatics, TU Delft",
address = "NL--2628~CD~Delft, The Netherlands",
note = "New subtitle: {\em Optimal bases versus optimal partitions for
postoptimal analysis in linear programming}"
}
@incollection{ipm:Jansen2,
author = "B. Jansen and C. Roos and T. Terlaky and J.--Ph. Vial",
title = "Interior--point methodology for linear programming\,:\,
{Duality}, sensitivity analysis and computational aspects",
booktitle = "Optimization in Planning and Operation of Electric Power
Systems (Lecture Notes of the SVOR/ASRO Tutorial, Thun, Switzerland,
October 14--16, 1992)",
editor = "K. Frauendorfer and H. Glavitsch and R. Bacher",
year = "1993",
pages = "57--123",
publisher = "Physica Verlag (A Springer Company)",
address = "Heidelberg, Germany",
note = "See also Roos \cite{ipm:Roos21}"
}
@article{ipm:Jansen3,
author = "B. Jansen and C. Roos and T. Terlaky",
title = "Primal--dual algorithms for linear programming based on the
logarithmic barrier method",
journal = "Journal of Optimization Theory and Applications",
volume = "83",
year = "1994",
pages = "1--26"
}
@article{ipm:Jansen4,
author = "B. Jansen and C. Roos and T. Terlaky",
title = "The theory of linear programming\,: {Skew} symmetric self--dual
problems and the central path",
journal = "Optimization",
volume = "29",
year = "1994",
pages = "225--233"
}
@incollection{ipm:Jansen5,
author = "B. Jansen and C. Roos and T. Terlaky",
title = "On {Vaidya's} volumetric center method for convex programming",
booktitle = "Symposium on Applied Mathematical Programming and Modeling
(APMOD '93), Budapest, Hungary, January 1993, Volume of Extended Abstracts",
editor = "I. Maros",
year = "1992",
month = "December",
pages = "289--295",
publisher = "Computer and Automation Institute, Hungarian Academy of Sciences",
address = "Budapest, Hungary"
}
@techreport{ipm:Jansen6,
author = "B. Jansen",
title = "An introduction to interior point algorithms for linear and convex
quadratic programming",
type = "{Technical Report}",
number = "9276/A",
year = "1992",
institution = "Economic Institute, Erasmus University Rotterdam",
address = "NL--3000~DR~Rotterdam, The Netherlands"
}
@article{ipm:Jansen7,
author = "B. Jansen and C. Roos and T. Terlaky",
title = "A polynomial primal--dual {Dikin}--type algorithm for linear
programming",
journal = "Mathematics of Operations Research",
volume = "21",
year = "1996",
pages = "341--353"
}
@article{ipm:Jansen8,
author = "B. Jansen and C. Roos and T. Terlaky and J.--Ph. Vial",
title = "Primal--dual target--following algorithms for linear programming",
journal = "Annals of Operations Research",
volume = "62",
year = "1996",
pages = "197--231"
}
@article{ipm:Jansen9,
author = "B. Jansen and C. Roos and T. Terlaky",
title = "A family of polynomial affine scaling algorithms for positive
semidefinite linear complementarity problems",
journal = "SIAM Journal on Optimization",
volume = "7",
year = "1997",
pages = "126--140"
}
@article{ipm:Jansen10,
author = "B. Jansen and C. Roos and T. Terlaky",
title = "Long--step primal--dual target--following algorithms for linear
programming",
journal = "Mathematical Models of Operations Research",
volume = "44",
year = "1996",
pages = "11--30"
}
@article{ipm:Jansen11,
author = "B. Jansen and C. Roos and T. Terlaky and Y. Ye",
title = "Improved complexity using higher--order correctors for
primal--dual {Dikin} affine scaling",
journal = "Mathematical Programming",
volume = "76",
year = "1997",
pages = "117--130"
}
@article{ipm:Jansen12,
author = "B. Jansen and {J. J. de} Jong and C. Roos and T. Terlaky",
title = "Sensitivity analysis in linear programming\,: {Just} be careful\,!",
journal = "European Journal of Operational Research",
volume = "101",
year = "1997",
pages = "15--28"
}
@techreport{ipm:Jansen13,
author = "B. Jansen and C. Roos and T. Terlaky",
title = "A short survey on ten years interior point methods",
type = "{Technical Report}",
number = "95--45",
year = "1995",
institution = "Faculty of Technical Mathematics and Informatics, TU Delft",
address = "NL--2600~GA~Delft, The Netherlands"
}
@techreport{ipm:Jansen14,
author = "B. Jansen and C. Roos and T. Terlaky",
title = "A new algorithm for the computation of the smallest eigenvalue
of a symmetric matrix and its eigenspace",
type = "{Technical Report}",
number = "95--70",
year = "1995",
institution = "Faculty of Technical Mathematics and Informatics, TU Delft",
address = "NL--2600~GA~Delft, The Netherlands"
}
@article{ipm:Jansen15,
author = "B. Jansen and C. Roos and T. Terlaky and A. Yoshise",
title = "Polynomiality of primal--dual affine scaling algorithms for
nonlinear complementarity problems",
journal = "Mathematical Programming",
volume = "78",
year = "1997",
pages = "315--345"
}
@article{ipm:Jansen16,
author = "B. Jansen and C. Roos and T. Terlaky",
title = "Interior point methods, a decade after {Karmarkar} -- {A} survey,
with application to the smallest eigenvalue problem",
journal = "Statistica Nederlandica",
volume = "50",
year = "1996",
pages = "146--170"
}
@incollection{ipm:Jansen17,
author = "B. Jansen and C. Roos and T. Terlaky",
title = "Introduction to the theory of interior point methods",
booktitle = "Interior Point Methods of Mathematical Programming",
editor = "T. Terlaky",
year = "1996",
pages = "3--34",
series = "Applied Optimization",
volume = "5",
publisher = "Kluer Academic Publishers",
address = "Dordrecht, The Netherlands"
}
@incollection{ipm:Jansen18,
author = "B. Jansen and C. Roos and T. Terlaky",
title = "Target--following methods for linear programming",
booktitle = "Interior Point Methods of Mathematical Programming",
editor = "T. Terlaky",
year = "1996",
pages = "83--124",
series = "Applied Optimization",
volume = "5",
publisher = "Kluer Academic Publishers",
address = "Dordrecht, The Netherlands"
}
@book{ipm:Jansen19,
author = "B. Jansen",
title = "{Interior Point Techniques in Optimization\,: Complexity,
Sensitivity and Algorithms}",
year = "1997",
publisher = "Kluwer Academic Publishers",
address = "Dordrecht, The Netherlands",
series = "Applied Optimization",
volume = "6"
}
@article{ipm:Jarre1,
author = "F. Jarre",
title = "On the convergence of the method of analytic centers when applied
to convex quadratic programs",
journal = "Mathematical Programming",
volume = "49",
year = "1990/91",
pages = "341--358"
}
@techreport{ipm:Jarre2,
author = "F. Jarre",
title = "The method of analytic centers for smooth convex programs",
type = "Preprint",
number = "165",
year = "1989",
month = "February",
institution = "Institut f{\"u}r Angewandte Mathematik und Statistik,
Universit{\"a}t W{\"u}rzburg",
address = "Am Hubland, D--97074~W{\"u}rzburg, Germany",
note = "See also Jarre \cite{ipm:Jarre7}"
}
@incollection{ipm:Jarre3,
author = "F. Jarre",
title = "On the method of analytic centers for solving smooth convex
programs",
booktitle = "Optimization\,: Proceedings of the 5th French--German
Conference in Castel--Novel, Varetz, France, October 1988",
editor = "S. Dolecki",
year = "1989",
pages = "69--86",
series = "Lecture Notes in Mathematics",
volume = "1405",
publisher = "Springer Verlag",
address = "Berlin, Germany"
}
@techreport{ipm:Jarre4,
author = "F. Jarre",
title = "A homotopy method for convex programming",
type = "{Talk held at the First International Symposium on Interior Point
Methods for Linear Programming\,: Theory and Practice, in Scheveningen, The
Netherlands}",
year = "1990",
month = "January",
institution = "Institut f{\"u}r Angewandte Mathematik und Statistik,
Universit{\"a}t W{\"u}rzburg",
address = "Am Hubland, D--97074~W{\"u}rzburg, Germany"
}
@incollection{ipm:Jarre5,
author = "F. Jarre and G. Sonnevend and J. Stoer",
title = "An implementation of the method of analytic centers",
booktitle = "Analysis and Optimization of Systems",
editor = "A. Bensoussan and J. L. Lions",
year = "1988",
pages = "297--308",
series = "Lecture Notes in Control and Information Sciences",
volume = "111",
publisher = "Springer Verlag",
address = "Berlin, Germany"
}
@techreport{ipm:Jarre6,
author = "F. Jarre",
title = "Convergence of the method of analytic centers for generalized
convex programs",
type = "DFG--Report",
number = "67",
year = "1988",
month = "May",
institution = "Institut f{\"u}r Angewandte Mathematik und Statistik,
Universit{\"a}t W{\"u}rzburg",
address = "Am Hubland, D--97074~W{\"u}rzburg, Germany",
note = "Revised October 1988. The revised version is identical to Jarre
\cite{ipm:Jarre3}"
}
@phdthesis{ipm:Jarre7,
author = "F. Jarre",
title = "The method of analytic centers for smooth convex programs",
year = "1989",
school = "Institut f{\"u}r Angewandte Mathematik und Statistik,
Universit{\"a}t W{\"u}rzburg",
address = "Am Hubland, D--97074~W{\"u}rzburg, Germany"
}
@techreport{ipm:Jarre8,
author = "F. Jarre",
title = "Interior--point methods for convex programming",
type = "{Technical Report}",
number = "SOL~90--16",
year = "1990",
institution = "Systems Optimization Laboratory, Department of Operations
Research, Stanford University",
address = "Stanford, CA~94305, USA",
note = "See also Jarre \cite{ipm:Jarre15}"
}
@incollection{ipm:Jarre9,
author = "F. Jarre and G. Sonnevend and J. Stoer",
title = "On the complexity of a numerical algorithm for solving generalized
convex quadratic programs by following a central path",
booktitle = "Mathematical Developments Arising from Linear Programming\,:
Proceedings of a Joint Summer Research Conference held at Bowdoin College,
Brunswick, Maine, USA, June/July 1988",
editor = "J. C. Lagarias and M. J. Todd",
year = "1990",
pages = "233--242",
series = "Contemporary Mathematics",
volume = "114",
publisher = "American Mathematical Society",
address = "Providence, Rhode Island, USA"
}
@article{ipm:Jarre10,
author = "F. Jarre and M. A. Saunders",
title = "An adaptive primal--dual method for linear programming",
journal = "Mathematical Programming Society Committee on Algorithms (COAL)
Newsletter",
volume = "19",
year = "1991",
month = "August",
pages = "7--16"
}
@article{ipm:Jarre11,
author = "F. Jarre",
title = "An interior--point method for minimizing the largest eigenvalue of
a linear combination of matrices",
journal = "SIAM Journal on Control and Optimization",
volume = "31",
year = "1993",
pages = "1360--1377",
note = "See also {\em NATO ASI Series E Vol.\,232 (1993), pp. 395}"
}
@article{ipm:Jarre12,
author = "F. Jarre and M. A. Saunders",
title = "A practical interior--point method for convex programming",
journal = "SIAM Journal on Optimization",
volume = "5",
year = "1995",
pages = "149--171"
}
@techreport{ipm:Jarre13,
author = "F. Jarre",
title = "An efficient line search for logarithmic barrier functions",
type = "{Technical Report}",
number = "188",
year = "1992",
month = "May",
institution = "Institut f{\"u}r Angewandte Mathematik und Statistik,
Universit{\"a}t W{\"u}rzburg",
address = "Am Hubland, D--97074~W{\"u}rzburg, Germany",
note = "For an extended abstract see Jarre \cite{ipm:Jarre17}"
}
@techreport{ipm:Jarre14,
author = "F. Jarre",
title = "On the convergence of the method of analytic centers when applied
to convex quadratic programs",
type = "{DFG--Report}",
number = "35",
year = "1987",
institution = "Institut f{\"u}r Angewandte Mathematik und Statistik,
Universit{\"a}t W{\"u}rzburg",
address = "Am Hubland, D--97074~W{\"u}rzburg, Germany",
note = "Preliminary version of Jarre \cite{ipm:Jarre1}"
}
@article{ipm:Jarre15,
author = "F. Jarre",
title = "Interior--point methods for convex programming",
journal = "Applied Mathematics \& Optimization",
volume = "26",
year = "1992",
pages = "287--311",
note = "See also Jarre \cite{ipm:Jarre8}"
}
@article{ipm:Jarre16,
author = "F. Jarre",
title = "Optimal ellipsoidal approximations around the analytic center",
journal = "Applied Mathematics \& Optimization",
volume = "30",
year = "1994",
pages = "15--19"
}
@incollection{ipm:Jarre17,
author = "F. Jarre",
title = "An efficient line--search for logarithmic barrier functions",
booktitle = "Symposium on Applied Mathematical Programming and Modeling
(APMOD '93), Budapest, Hungary, January 1993, Volume of Extended Abstracts",
editor = "I. Maros",
year = "1992",
month = "December",
pages = "296--303",
publisher = "Computer and Automation Institute, Hungarian Academy of Sciences",
address = "Budapest, Hungary",
note = "See also Jarre \cite{ipm:Jarre13}"
}
@techreport{ipm:Jarre18,
author = "F. Jarre and S. Mizuno",
title = "An infeasible--interior--point algorithm using projections onto a
convex set",
type = "{Technical Report}",
number = "206",
year = "1993",
month = "August",
institution = "Institut f{\"u}r Angewandte Mathematik und Statistik,
Universit{\"a}t W{\"u}rzburg",
address = "Am Hubland, D--97074~W{\"u}rzburg, Germany",
note = "See also Mizuno and Jarre \cite{ipm:Mizuno23}"
}
@article{ipm:Jarre19,
author = "F. Jarre",
title = "A new line--search step based on the {Weierstrass}
${\cal{P}}$--function for minimizing a class of logarithmic barrier
functions",
journal = "Numerische Mathematik",
volume = "68",
year = "1994",
pages = "81--94"
}
@techreport{ipm:Jarre20,
author = "F. Jarre and S. J. Wright",
title = "On the role of the objective function in barrier methods",
type = "{Preprint}",
number = "MSC--P485--1294",
year = "1994",
month = "December",
institution = "Mathematics and Computer Science Division, Argonne National
Laboratory",
address = "Argonne, IL~60439, USA"
}
@article{ipm:Jarre21,
author = "F. Jarre",
title = "Interior--point methods via self--concordance or relative
{Lipschitz} condition",
journal = "Optimization Methods and Software",
volume = "5",
year = "1995",
pages = "75--104",
note = "See also Jarre \cite{ipm:Jarre22}"
}
@techreport{ipm:Jarre22,
author = "F. Jarre",
title = "Interior--point methods via self--concordance or relative
{Lipschitz} condition",
type = "{Habilitationthesis}",
year = "1994",
month = "March",
institution = "Institut f{\"u}r Angewandte Mathematik und Statistik,
Universit{\"a}t W{\"u}rzburg",
address = "Am Hubland, D--97074~W{\"u}rzburg, Germany",
note = "See also Jarre \cite{ipm:Jarre21}"
}
@incollection{ipm:Jarre23,
author = "F. Jarre",
title = "Interior--point methods for classes of convex programs",
booktitle = "Interior Point Methods of Mathematical Programming",
editor = "T. Terlaky",
year = "1996",
pages = "255--296",
series = "Applied Optimization",
volume = "5",
publisher = "Kluer Academic Publishers",
address = "Dordrecht, The Netherlands"
}
@techreport{ipm:Jarre24,
author = "F. Jarre and M. Kocvara and J. Zowe",
title = "Interior point methods for mechanical design problems",
type = "{Preprint}",
number = "173",
year = "1996",
institution = "Institut f{\"u}r Angewandte Mathematik, Universit{\"a}t
Erlangen--N{\"u}rnberg",
address = "Martensstr. 3, D--91058 Erlangen, Germany"
}
@techreport{ipm:Jarre25,
author = "F. Jarre and M. Wechs",
title = "Extending {Mehrotra's} corrector for linear programs",
type = "{Preprint}",
number = "219",
year = "1996",
month = "December",
institution = "Mathematische Institute der Universit{\"a}t W{\"u}rzburg",
address = "Am Hubland, D--97074~W{\"u}rzburg, Germany",
note = "(Revised October 1997)"
}
@techreport{ipm:Jarre26,
author = "F. Jarre",
title = "A {QQP}--minimization method for semidefinite and smooth
nonconvex programs",
type = "{Technical Report}",
number = "",
year = "1998",
month = "August",
institution = "Mathematisches Institut der Universit{\"a}t Trier",
address = "Trier, Germany"
}
@article{ipm:Jarre27,
author = "F. Jarre and M. Kocvara and J. Zowe",
title = "Optimal truss design by interior--point methods",
journal = "SIAM Journal on Optimization",
volume = "8",
year = "1998",
pages = "1084--1107"
}
@techreport{ipm:Jensen1,
author = "D. L. Jensen and A. E. Steger",
title = "A variation of {Karmarkar's} algorithm to solve linear programs in
standard form",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Los Angeles,
CA, USA}",
year = "1986",
month = "April",
institution = "State University of New York",
address = "Stony Brook, NY~11794, USA",
note = "See Steger \cite{ipm:Steger1}"
}
@techreport{ipm:Jensen2,
author = "D. L. Jensen and R. Polyak and R. R. Schneur",
title = "Numerical experience with the modified barrier functions method for
linear--constrained optimization problems",
type = "{Technical Report}",
year = "1992",
month = "May",
institution = "Mathematical Sciences Department, IBM~T.~J.~Watson Research
Center",
address = "Yorktown Heights, NY~10598, USA",
note = "See also Polyak \cite{ipm:Polyak3}"
}
@techreport{ipm:Jensen3,
author = "D. L. Jensen and R. Polyak",
title = "Decomposition in {LP} based on modified barrier function",
type = "{Talk held at the Fourth SIAM Conference on Optimization in Chicago,
IL, USA}",
year = "1992",
month = "May",
institution = "Mathematical Sciences Department, IBM~T.~J.~Watson Research
Center",
address = "Yorktown Heights, NY~10598, USA"
}
@article{ipm:Jensen4,
author = "D. L. Jensen and R. A. Polyak",
title = "The convergence of a modified barrier method for convex
programming",
journal = "IBM Journal of Research and Development",
volume = "38",
year = "1994",
pages = "307--321"
}
@techreport{ipm:Ji1,
author = "J. Ji and F. Potra and R. A. Tapia and Y. Zhang",
title = "An interior--point method with polynomial complexity and
superlinear convergence for linear complementarity problems",
type = "{Technical Report}",
number = "TR--91--23",
year = "1991",
institution = "Department of Mathematical Sciences, Rice University",
address = "Houston, TX~77251, USA"
}
@article{ipm:Ji2,
author = "J. Ji and F. Potra",
title = "An interior--point algorithm for quadratically constrained
entropy minimization problems",
journal = "Journal of Optimization Theory and Applications",
volume = "77",
year = "1993",
pages = "79--95"
}
@techreport{ipm:Ji3,
author = "J. Ji and Y. Ye",
title = "Complexity analysis of {Karmarkar's} algorithm",
type = "{Working Paper}",
number = "90--5",
year = "1990",
institution = "Department of Mathematics, The University of Iowa",
address = "Iowa City, IA~52242, USA"
}
@article{ipm:Ji4,
author = "J. Ji and F. Potra and S. Huang",
title = "A predictor--corrector method for linear complementarity
problems with polynomial complexity and superlinear convergence",
journal = "Journal of Optimization Theory and Applications",
volume = "85",
year = "1995",
pages = "187--199"
}
@techreport{ipm:Ji5,
author = "J. Ji and F. Potra",
title = "On the average complexity of finding an {$\varepsilon$}--optimal
solution for linear programming",
type = "{Reports on Computational Mathematics}",
number = "25",
year = "1992",
month = "March",
institution = "Department of Mathematics, The University of Iowa",
address = "Iowa City, IA~52242, USA"
}
@article{ipm:Ji6,
author = "J. Ji and Y. Ye",
title = "A complexity analysis for interior--point algorithms based on
{Karmarkar's} potential function",
journal = "SIAM Journal on Optimization",
volume = "4",
year = "1994",
pages = "512--520"
}
@article{ipm:Ji7,
author = "J. Ji and F. A. Potra and R. Sheng",
title = "A predictor--corrector method for solving the
{$P_{*}(\kappa)$}--matrix {LCP} from infeasible starting points",
journal = "Optimization Methods and Software",
volume = "6",
year = "1995",
pages = "109--126"
}
@incollection{ipm:Ji8,
author = "J. Ji and F. Potra",
title = "Tapia indicators and finite termination of
infeasible--interior--point methods for degenerate {LCP}",
editor = "J. Renegar and M. Shub and S. Smale",
booktitle = "The Mathematics of Numerical Analysis (1995 AMS--SIAM Summer
Seminar in Applied Mathematics July/August 1995 held at Park City, UT,
USA)",
series = "Lectures in Applied Mathematics",
volume = "32",
year = "1996",
pages = "443--454",
publisher = "American Mathematical Society",
address = "Providence, RI~02940--6248, USA"
}
@techreport{ipm:Ji9,
author = "J. Ji and F. Potra and R. Sheng",
title = "On the local convergence of a predictor--corrector method for
semidefinite programming",
type = "{Reports on Computational Mathematics}",
number = "98",
year = "1997",
institution = "Department of Mathematics, The University of Iowa",
address = "Iowa City, IA~52242, USA"
}
@techreport{ipm:Jiang1,
author = "J. Jiang",
title = "A long step primal--dual path--following method for semidefinite
programming",
type = "{Science Report}",
number = "96009",
year = "1996",
month = "March",
institution = "Department of Applied Mathematics, Tsinghue University",
address = "Beijing~100084, China",
note ="To appear in {\em{Operations Research Letters}}"
}
@article{ipm:Jiang2,
author= "J. Jiang and M. Shi",
title= " A logarithmic barrier {Newton} method for semidefinite
programming",
journal = "Systems Science and Mathematical Sciences",
volume = "10",
year = "1997",
number = "2",
pages = "168--175"
}
@article{ipm:Jie1,
author = "S. Jie and J. Zhu",
title = "Predictor--corrector method for extended linear--quadratic
programming",
journal = "Computers and Operations Research",
volume = "23",
year = "1996",
pages = "755--767"
}
@article{ipm:Jing1,
author = "X. Jing and J.--Q. Xue",
title = "A dual interior point algorithm for convex programming",
journal = "Journal of the Northeastern University Nature Sciences",
volume = "19",
year = "1998",
pages = "98--100"
}
@article{ipm:Johnson1,
author = "C. R. Johnson and B. Kroschel and H. Wolkowicz",
title = "An interior--point method for approximate positive
semidefinite completions",
journal = "Computational Optimization and Applications",
volume = "9",
year = "1998",
pages = "175--190"
}
@mastersthesis{ipm:Jong1,
author = "J. J. Jong",
title = "A computational study of recent approaches to sensitivity analysis
in linear programming\,: {Optimal} basis, optimal partition and optimal
function value approach",
year = "1996",
school = "Faculty of Technical Mathematics and Informatics, TU Delft",
address = "NL--2600~GA~Delft, The Netherlands"
}
@incollection{ipm:Joshi1,
author = "A. Joshi and A. Goldstein and P. M. Vaidya",
title = "A fast implementation of a path--following algorithm for
maximizing a linear function over a network polytope",
booktitle = "Network Flows and Matching\,: First DIMACS Implementation
Challenge",
editor = "D. S. Johnson and C. C. McGeogh",
year = "1993",
pages = "267--298",
series = "DIMACS Series on Discrete Mathenatics and Theoretical Computer
Science",
volume = "12",
publisher = "American Mathematical Society",
address = "Providence, Rhode Island~02940, USA"
}
@incollection{ipm:Judice1,
author = "J. J. J{\'u}dice",
title = "Algorithms for linear complementarity problems",
booktitle = "Algorithms for Continuous Optimization\,: The
State--of--the--Art (Il Ciocco, Barga, Italy, September 1993)",
editor = "E. Spedicato",
year = "1994",
pages = "435--474",
series = "NATO Advanced Science Institute Series C\,: Mathematical and
Physical Sciences",
volume = "434",
publisher = "Kluwer Academic Publishers",
address = "Dordrecht, The Netherlands"
}
@techreport{ipm:Jung1,
author = "H. W. Jung and R. E. Marsten and M. J. Saltzman",
title = "The column {C}holesky method for numerical factorization in
interior point algorithms",
type = "{Technical Report}",
number = "596",
year = "1991",
institution = "Department of Mathematical Sciences,Clemson University",
address = "Clemson, SC~29634--1907, USA",
note = "This is subsumed by Jung et al.\ \cite{ipm:Jung2}"
}
@article{ipm:Jung2,
author = "H. W. Jung and R. E. Marsten and M. J. Saltzman",
title = "Numerical factorization methods for interior point algorithms",
journal = "ORSA Journal on Computing",
volume = "6",
year = "1994",
pages = "94--105"
}
@techreport{ipm:Jung3,
author = "H. W. Jung and M. J. Saltzman",
title = "The multifrontal method for numerical factorization in interior
point algorithms",
type = "{Technical Report}",
number = "597",
year = "1991",
institution = "Department of Mathematical Sciences, Clemson University",
address = "Clemson, SC~29634--1907, USA",
note = "This is subsumed by Jung et al.\ \cite{ipm:Jung2}"
}
@techreport{ipm:Kaeschel1,
author = "J. K{\"a}schel",
title = "Karmarkar--{\"a}hnliche {Verfahren in der Linearen Optimierung
(Karmarkar--type procedures in linear programming)}",
type = "{Talk held at the DGOR--Jahrestagung in Stuttgart--Hohenheim,
Germany}",
year = "1991",
month = "September",
institution = "Sektion Wirtschaftswissenschaften, TU Chemnitz",
address = "P.~O.~Box~964, D--9010~Chemnitz, East--Germany"
}
@article{ipm:Kaeschel2,
author = "J. K{\"a}schel",
title = "{'' An efficient algorithm for linear programming '' of V. Ch.
Venkaiah}",
journal = "Proceedings of the Indian Academy of Sciences, Mathematical
Sciences",
volume = "102",
number = "2",
year = "1992",
pages = "155--158",
note = "See also Venkaiah\,\cite{ipm:Venkaiah1}"
}
@article{ipm:Kalantari1,
author = "B. Kalantari",
title = "Karmarkar's algorithm with improved steps",
journal = "Mathematical Programming",
volume = "46",
year = "1990",
pages = "73--78"
}
@techreport{ipm:Kalantari2,
author = "B. Kalantari",
title = "Derivation of a generalized and strenghtened {Gordan Theorem} from
generalized {Karmarkar} potential and logarithmic barrier functions",
type = "{Technical Report}",
number = "LCSR--TR--121",
year = "1989",
institution = "Laboratory for Computer Science Research, Rutgers University",
address = "New Brunswick, NJ~08903, USA"
}
@incollection{ipm:Kalantari3,
author = "B. Kalantari",
title = "Canonical problems for quadratic programming and projective methods
for their solution",
booktitle = "Mathematical Developments Arising from Linear Programming\,:
Proceedings of a Joint Summer Research Conference held at Bowdoin College,
Brunswick, Maine, USA, June/July 1988",
editor = "J. C. Lagarias and M. J. Todd",
year = "1990",
pages = "243--263",
series = "Contemporary Mathematics",
volume = "114",
publisher = "American Mathematical Society",
address = "Providence, Rhode Island, USA"
}
@techreport{ipm:Kalantari4,
author = "B. Kalantari",
title = "Solving linear programming by bisection and a projective
feasibility algorithm",
type = "{Technical Report}",
number = "LCSR--TR--91",
year = "1987",
institution = "Laboratory for Computer Science Research, Rutgers
University",
address = "New Brunswick, NJ~08903, USA"
}
@article{ipm:Kalantari5,
author = "B. Kalantari",
title = "Generalization of {Karmarkar's} algorithm to convex homogeneous
functions",
journal = "Operations Research Letters",
volume = "11",
year = "1992",
pages = "93--98"
}
@article{ipm:Kalantari6,
author = "B. Kalantari",
title = "A theorem of the alternative for multihomogeneous functions and
its relationship to diagonal scaling of matrices",
journal = "Linear Algebra and Its Applications",
volume = "236",
year = "1996",
pages = "1--24"
}
@article{ipm:Kalantari7,
author = "B. Kalantari and M. R. Emamy--K",
title = "On linear programming and matrix scaling over the algebraic numbers",
journal = "Linear Algebra and Its Applications",
volume = "262",
year = "1997",
pages = "282--305"
}
@techreport{ipm:Kaliski1,
author = "J. A. Kaliski and Y. Ye",
title = "A decomposition variant of the potential reduction algorithm for
linear programming",
type = "{Working Paper}",
number = "91--11",
year = "1991",
institution = "Department of Management Science, College of Business
Administration, University of Iowa",
address = "Iowa City, IA~52240, USA",
note = "See also Kaliski and Ye\,\cite{ipm:Kaliski5}"
}
@article{ipm:Kaliski2,
author = "J. A. Kaliski and Y. Ye",
title = "Convergence behavior of {Karmarkar's} projective algorithm
for solving a simple linear program",
journal = "Operations Research Letters",
volume = "10",
year = "1991",
pages = "389--393"
}
@article{ipm:Kaliski3,
author = "J. A. Kaliski and Y. Ye",
title = "An extension of the potential reduction algorithm for solving the
linear complentary problem with priority goals",
journal = "Linear Algebra and Its Applications",
volume = "193",
year = "1993",
pages = "35--50"
}
@phdthesis{ipm:Kaliski4,
author = "J. A. Kaliski",
title = "A decomposition variant for large scale linear programming",
year = "1992",
month = "May",
school = "Department of Management Science, College of Business
Administration, University of Iowa",
address = "Iowa City, IA~52240, USA"
}
@article{ipm:Kaliski5,
author = "J. A. Kaliski and Y. Ye",
title = "A short--cut potential reduction algorithm for linear programming",
journal = "Management Science",
volume = "39",
year = "1993",
pages = "757--776",
note = "See also Kaliski and Ye\,\cite{ipm:Kaliski1}"
}
@techreport{ipm:Kaliski6,
author = "J. A. Kaliski and D. Haglin and C. Roos and T. Terlaky",
title = "Logarithmic barrier decomposition methods for semi--infinite
programming",
type = "{Technical Report}",
number = "96--51",
year = "1996",
institution = "Faculty of Technical Mathematics and Informatics, TU Delft",
address = "NL--2600~GA~Delft, The Netherlands",
note = "To appear in {\em International Transactions in Operations Reseach}"
}
@techreport{ipm:Kallio1,
author = "M. Kallio",
title = "On gradient projection for linear programming",
type = "Manuscript",
year = "1986",
institution = "School of Organization and Management, Yale University",
address = "New Haven, CT~06520, USA"
}
@article{ipm:Kallio2,
author = "M. Kallio and E. L. Porteus",
title = "A class of methods for linear programming",
journal = "Mathematical Programming",
volume = "14",
year = "1978",
pages = "161--176"
}
@article{ipm:Kamath1,
author = "A. P. Kamath and N. K. Karmarkar and K. G. Ramakrishnan and
M. G. C. Resende",
title = "Computational experience with an interior point algorithm on
the satisfiability problem",
journal = "Annals of Operations Research",
volume = "25",
year = "1990",
pages = "43--58"
}
@incollection{ipm:Kamath2,
author = "A. P. Kamath and N. K. Karmarkar",
title = "Continuous approach to compute upper bounds in quadratic
maximization problems with integer constraints",
booktitle = "Recent Advances in Global Optimization",
editor = "C. A. Floudas and P. M. Pardalos",
year = "1992",
pages = "125--140",
series = "Princeton Series in Computer Science",
publisher = "Princeton University Press",
address = "Princeton, NJ, USA"
}
@article{ipm:Kamath3,
author = "A. P. Kamath and N. K. Karmarkar",
title = "A continuous method for computing bounds in integer quadratic
optimization problems",
journal = "Journal of Global Optimization",
volume = "2",
number = "3",
year = "1992",
pages = "229--241"
}
@article{ipm:Kamath4,
author = "A. P. Kamath and N. K. Karmarkar and K. G. Ramakrishnan
and M. G. C. Resende",
title = "A continuous approach to inductive inference",
journal = "Mathematical Programming",
volume = "57",
year = "1992",
pages = "215--238"
}
@article{ipm:Kamath5,
author = "A. P. Kamath and N. K. Karmarkar and K. G. Ramakrishnan
and M. G. C. Resende",
title = "An interior point approach to {Boolean} vector function synthesis",
journal = "Proceedings of the 36th MSCAS",
year = "1993",
pages = "185--189"
}
@techreport{ipm:Kamath6,
author = "A. P. Kamath and N. K. Karmarkar and K. G. Ramakrishnan",
title = "Computational and complexity results for an interior point
algorithm for multicommodity flows",
type = "{Technical Report}",
number = "TR--21/93",
year = "1993",
institution = "Dipartimento di Informatica, Universita di Pisa",
address = "Pisa, Italy",
note = "To appear in {\em Netflow}. See also Kamath et al.
\cite{ipm:Kamath10}"
}
@article{ipm:Kamath7,
author = "A. P. Kamath and O. Palmon",
title = "Improved interior point algorithms for exact and approximate
solution of multicommodity flow problems",
journal = "Proceedings of the Sixth Annual ACM--SIAM Symposium on
Discrete Algorithms (San Francisco, CA, USA, January 22--24, 1995)",
year = "1995",
pages = "502--511"
}
@incollection{ipm:Kamath8,
author = "A. P. Kamath and N. K. Karmarkar",
title = "An {$O(nL)$} iteration algorithm for computing bounds in quadratic
optimization problems",
booktitle = "Complexity in Numerical Optimization",
editor = "P. M. Pardalos",
year = "1993",
pages = "254--268",
publisher = "World Scientific Publishing Co.",
address = "London, United Kingdom"
}
@incollection{ipm:Kamath9,
author = "A. P. Kamath and N. K. Karmarkar and K. G. Ramakrishnan",
title = "An approximate dual projective algorithm for solving
assignment problems",
booktitle = "Network Flows and Matching\,: First DIMACS Implementation
Challenge",
editor = "D. S. Johnson and C. C. McGeogh",
year = "1993",
pages = "431--451",
series = "DIMACS Series on Discrete Mathenatics and Theoretical Computer
Science",
volume = "12",
publisher = "American Mathematical Society",
address = "Providence, Rhode Island~02940, USA"
}
@techreport{ipm:Kamath10,
author = "A. P. Kamath and N. K. Karmarkar and K. G. Ramakrishnan",
title = "Computational and complexity results for an interior point
algorithm on multi--commodity flow problems",
type = "{Technical Report}",
year = "1993",
institution = "Department of Computer Science, Stanford University",
address = "Palo Alto, CA, USA"
}
@phdthesis{ipm:Kamath11,
author = "A. P. Kamath",
title = "Efficient continuous algorithms for combinatorial optimization",
year = "1995",
month = "September",
school = "Department of Computer Science, Stanford University",
address = "Palo Alto, CA, USA"
}
@book{ipm:Kannan1,
author = "R. Kannan and W. R. Pulleyblank",
title = "Integer Programming and Combinatorial Optimization",
year = "1990",
publisher = "University of Waterloo Press",
address = "Waterloo, Ontario, Canada"
}
@techreport{ipm:Kanzow1,
author = "C. Kanzow",
title = "Some tools allowing interior--point methods to become noninterior",
type = "{Preprint (Hamburger Beitr{\"a}ge zur Angewandten Mathematik)}",
number = "79--1994",
year = "1994",
institution = "Institut f{\"u}r Angewandte Mathematik, Universit{\"a}t
Hamburg",
address = "Hamburg, Germany"
}
@article{ipm:Kaplan1,
author = "A. Kaplan and R. Tichatschke",
title = "Proximal methods in view of interior point strategies",
journal = "Journal of Optimization Theory and Applications",
volume = "98",
year = "1998",
pages = "399--429"
}
@article{ipm:Kapoor1,
author = "S. Kapoor and P. M. Vaidya",
title = "Fast algorithms for convex quadratic programming and
multicommodity flows",
journal = "Proceedings of the 18th Annual ACM Symposium on Theory of
Computing",
year = "1986",
pages = "147--159"
}
@techreport{ipm:Kapoor2,
author = "S. Kapoor and P. M. Vaidya",
title = "An extension of {Karmarkar's} interior point method to convex
quadratic programming",
type = "{Technical Report}",
year = "1988",
institution = "Department of Computer Science, University of Illinois
at Urbana--Champaign",
address = "Urbana, IL~61820, USA"
}
@article{ipm:Kapoor3,
author = "S. Kapoor and P. M. Vaidya",
title = "Speeding--up {Karmarkar's} algorithm for multicommodity flows",
journal = "Mathematical Programming",
volume = "73",
year = "1996",
pages = "111--127",
note = "A preliminary version is given in Kapoor and Vaidya
\cite{ipm:Kapoor1}"
}
@techreport{ipm:Karisch1,
author = "S. E. Karisch and F. Rendl",
title = "Semidefinite programming and graph equipartion",
type = "{Technical Report}",
number = "302--CDLDO~55",
year = "1995",
month = "December",
institution = "Department of Mathematics, Graz University of Technology",
address = "Graz, Austria"
}
@techreport{ipm:Karisch2,
author = "S. E. Karisch and F. Rendl and J. Clausen",
title = "Solving graph bisection problems with semidefinite programming",
type = "{Technical Report}",
number = "DIKU--TR--97/9",
year = "1997",
month = "July",
institution = "Department of Computer Science, University of Copenhagen",
address = "Copenhagen, Denmark"
}
@techreport{ipm:Karisch3,
author = "S. E. Karisch and F. Rendl and H. Wolkowicz and Q. Zhao",
title = "Semidefinite programming relaxations for the quadratic assignment
problem",
type = "{Technical Report}",
number = "CORR\,95--27",
year = "1996",
month = "September",
institution = " Department of Combinatorics and Optimization, Fasculty of
Mathematics, University of Waterloo",
address = "Waterloo, Ontario, Canada"
}
@inbook{ipm:Karloff1,
author = "H. Karloff",
title = "Linear Programming",
chapter = "5\,: {Karmarkar's} algorithm",
year = "1991",
pages = "103--130",
publisher = "Birkh{\"a}user Verlag",
address = "Basel, Switzerland"
}
@article{ipm:Karmarkar1,
author = "N. K. Karmarkar",
title = "A new polynomial--time algorithm for linear programming",
journal = "Proceedings of the 16th Annual ACM Symposium on Theory of
Computing",
year = "1984",
pages = "302--311"
}
@article{ipm:Karmarkar2,
author = "N. K. Karmarkar",
title = "A new polynomial--time algorithm for linear programming",
journal = "Combinatorica",
volume = "4",
year = "1984",
pages = "373--395"
}
@techreport{ipm:Karmarkar3,
author = "N. K. Karmarkar",
title = "Some comments on the significance of the new polynomial--time
algorithm for linear programming",
type = "{Technical Report}",
year = "1984",
institution = "AT~\&~T~Bell Laboratories",
address = "Murray Hill, NJ~07974, USA"
}
@techreport{ipm:Karmarkar4,
author = "N. K. Karmarkar",
title = "An interior--point approach to {NP}--complete problems",
type = "{Talk held at the SIAM Annual Meeting in Chicago, IL, USA}",
year = "1988",
month = "July",
institution = "AT~\&~T~Bell Laboratories",
address = "Murray Hill, NJ~07974, USA"
}
@misc{ipm:Karmarkar5,
author = "N. K. Karmarkar",
title = "Methods and apparatus for efficient resource allocation",
howpublished = "U.S.~Patent No.~4.744.028",
year = "1988",
note = "AT~\&~T Bell Laboratories, Murray Hill, NJ~07974, USA"
}
@incollection{ipm:Karmarkar6,
author = "N. K. Karmarkar",
title = "Riemannian geometry underlying interior--point methods for linear
programming",
booktitle = "Mathematical Developments Arising from Linear Programming\,:
Proceedings of a Joint Summer Research Conference held at Bowdoin College,
Brunswick, Maine, USA, June/July 1988",
editor = "J. C. Lagarias and M. J. Todd",
year = "1990",
pages = "51--75",
series = "Contemporary Mathematics",
volume = "114",
publisher = "American Mathematical Society",
address = "Providence, Rhode Island, USA"
}
@techreport{ipm:Karmarkar7,
author = "N. K. Karmarkar and K. G. Ramakrishnan",
title = "Further developments in the new polynomial--time algorithm for
linear programming",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Boston, MA,
USA}",
year = "1985",
month = "May",
institution = "AT~\&~T Bell Laboratories",
address = "Murray Hill, NJ~07974, USA"
}
@techreport{ipm:Karmarkar8,
author = "N. K. Karmarkar and K. G. Ramakrishnan",
title = "Implementation and computational aspects of the {Karmarkar}
algorithm for linear programming, using an iterative method for computing
projections",
type = "{Technical Memorandum}",
year = "1989",
institution = "AT~\&~T Bell Laboratories",
address = "Murray Hill, NJ~07974, USA",
note = "See Karmarkar and Ramakrishnan \cite{ipm:Karmarkar9}"
}
@article{ipm:Karmarkar9,
author = "N. K. Karmarkar and K. G. Ramakrishnan",
title = "Computational results of an interior point algorithm for
large scale linear programming",
journal = "Mathematical Programming",
volume = "52",
year = "1991",
pages = "555--586"
}
@techreport{ipm:Karmarkar10,
author = "N. K. Karmarkar and K. G. Ramakrishnan",
title = "Robust control system models and their solution by the
{Karmarkar} algorithm",
type = "{Talk held at the SIAM Annual Meeting in Chicago, IL, USA}",
year = "1990",
month = "July",
institution = "AT~\&~T Bell Laboratories",
address = "Murray Hill, NJ~07974, USA"
}
@techreport{ipm:Karmarkar11,
author = "N. K. Karmarkar and L. P. Sinha",
title = "Application of {Karmarkar's} algorithm to overseas
telecommunications facilities planning",
type = "{Talk held at the 12th International Symposium on Mathematical
Programming in Boston, MA, USA}",
year = "1985",
month = "August",
institution = "AT~\&~T Bell Laboratories",
address = "Murray Hill, NJ~07974, USA"
}
@techreport{ipm:Karmarkar12,
author = "N. K. Karmarkar and K. G. Ramakrishnan and M. G. C. Resende",
title = "An interior point algorithm for zero--one integer programming",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Denver, CO,
USA}",
year = "1988",
month = "October",
institution = "AT~\&~T Bell Laboratories",
address = "Murray Hill, NJ 07974, USA"
}
@techreport{ipm:Karmarkar13,
author = "N. K. Karmarkar and K. G. Ramakrishnan and M. G. C. Resende",
title = "Further developments on an interior point algorithm for
zero--one integer programming",
type = "{Talk held at the First International Symposium on Interior Point
Methods for Linear Programming\,: Theory and Practice, in Scheveningen, The
Netherlands}",
year = "1990",
month = "January",
institution = "AT~\&~T~Bell Laboratories",
address = "Murray Hill, NJ~07974, USA"
}
@article{ipm:Karmarkar14,
author = "N. K. Karmarkar and J. C. Lagarias and L. Slutsman and P. Wang",
title = "Power--series variants of {Karmarkar--type} algorithms",
journal = "AT~\&~T Technical Journal",
volume = "68",
year = "1989",
pages = "20--36"
}
@incollection{ipm:Karmarkar15,
author = "N. K. Karmarkar",
title = "Interior--point methods in optimization",
booktitle = "Proceedings of the Second International Conference on
Industrial and Applied Mathematics (ICIAM~'91), Washington, DC, July, 1991",
year = "1992",
pages = "160--181",
publisher = "SIAM Publications",
address = "Philadelphia, PA, USA"
}
@techreport{ipm:Karmarkar16,
author = "N. K. Karmarkar",
title = "Recent developments in new approaches to linear programming",
type = "{Talk held at the SIAM Conference on Optimization, Houston, TX,
USA}",
year = "1987",
institution = "AT~\&~T~Bell Laboratories",
address = "Murray Hill, NJ~07974, USA"
}
@article{ipm:Karmarkar17,
author = "N. K. Karmarkar and M. G. C. Resende and K. G. Ramakrishnan",
title = "An interior point algorithm to solve computationally
difficult set covering problems",
journal = "Mathematical Programming",
volume = "52",
year = "1991",
pages = "597--618"
}
@techreport{ipm:Karmarkar18,
author = "N. K. Karmarkar",
title = "Why is the new algorithm better than simplex method and ellipsoid
method~?",
type = "{Extended Abstract}",
year = "1984/85",
institution = "AT~\&~T~Bell Laboratories",
address = "Murray Hill, NJ~07974, USA"
}
@incollection{ipm:Karmarkar19,
author = "N. K. Karmarkar",
title = "An interior--point approach to {NP}--complete problems -- {Part I}",
booktitle = "Mathematical Developments Arising from Linear Programming\,:
Proceedings of a Joint Summer Research Conference held at Bowdoin College,
Brunswick, Maine, USA, June/July 1988",
editor = "J. C. Lagarias and M. J. Todd",
year = "1990",
pages = "297--308",
series = "Contemporary Mathematics",
volume = "114",
publisher = "American Mathematical Society",
address = "Providence, Rhode Island, USA"
}
@techreport{ipm:Karmarkar20,
author = "N. K. Karmarkar and K. G. Ramakrishnan and M. G. C. Resende",
title = "An interior--point approach to the maximum independent set problem
in dense random graphs",
type = "{Manuscript}",
year = "1988/1990",
institution = "AT~\&~T~Bell Laboratories",
address = "Murray Hill, NJ~07974, USA"
}
@article{ipm:Karmarkar21,
author = "N. K. Karmarkar and S. Thakur",
title = "An interior--point approach to tensor optimization with
application to upper bounds in integer quadratic optimization problems",
journal = "Proceedings of Second Integer programming and Combinatorial
Optimization Conference (Carnegie--Mellon University, Pittsburgh, PA, 1992)",
year = "1992",
pages = "406--420"
}
@incollection{ipm:Karmarkar22,
author = "N. K. Karmarkar",
title = "A new parallel architecture for sparse matrix computation
based on finite projective geometries",
booktitle = "Proceedings of Supercomputing\,'91",
editor = "J. C. Lagarias and M. J. Todd",
year = "1991",
pages = "358--369",
publisher = "IEEE Computer Society",
address = "New York, USA"
}
@article{ipm:Karypis1,
author = "G. Karypis and A. Gupta and V. Kumar",
title = "A highly parallel interior point algorithm",
journal = "Proceedings of the 7th SIAM Conference on Parallel Processing
for Scientific Computing",
year = "1995",
pages = "110--112"
}
@incollection{ipm:Karypis2,
author = "G. Karypis and A. Gupta and V. Kumar",
title = "A parallel formulation of interior point algorithms",
booktitle = "Proceedings Supercomputing\,'94 (Washington, D.C., USA,
November 1994)",
year = "1994",
pages = "204--213",
publisher = "IEEE Computer Society",
address = "New York, NY, USA"
}
@techreport{ipm:Kas1,
author = "P. Kas and E. Klafszky and L. Malyusz and G. Izbirak",
title = "Minimization of {Bregman's} divergence functions, and its
relation to linear programming",
type = "{Technical Report}",
year = "1998",
institution = "Department of Building Management and Organization,
Technical University of Budapest",
address = "Muegyetem rkp.\,3, Budapest, 1111~Hungary"
}
@article{ipm:Katsura1,
author = "R. Katsura and M. Fukushima and T. Ibaraki",
title = "Interior methods for nonlinear minimum cost network flow problems",
journal = "Journal of the Operations Research Society of Japan",
volume = "32",
year = "1989",
pages = "174--179"
}
@techreport{ipm:Kelly1,
author = "T. K. Kelly and J. G. Ecker",
title = "{EPM\,: An} exterior point method for linear programming",
type = "{Technical Report}",
year = "1997",
month = "April",
institution = "",
address = ""
}
@article{ipm:Kennings1,
author = "A. A. Kennings and V. H. Quintana and A. Vannelli",
title = "Constraint matrix ordering for interior point algorithms on
hypercube multiprocessors",
journal = "Proceedings of the Twenty--Sixth Annual North American
Power Symposium (Manhattan, KS, USA, September 1994)",
volume = "1",
year = "1994",
pages = "187--195"
}
@article{ipm:Kennings2,
author = "A. A. Kennings and A. Vannelli",
title = "An efficient interior point approach for {QP} and {LP} models of
the relative placement problem",
journal = "Proceedings of the 39th Midwest Symposium on Circuits and
Systems",
volume = "1/3",
year = "1996",
pages = "443--446"
}
@article{ipm:Kennington1,
author = "J. L. Kennington",
title = "Using {KORBX} for military airlift applications",
journal = "Proceedings of the 28th IEEE Conference on Decision and Control",
year = "1989",
month = "December",
pages = "1603--1605"
}
@phdthesis{ipm:Keraghel1,
author = "A. Keraghel",
title = "Etude adaptive et comparative des prinicipales variantes dans
l'algorithme de {Karmarkar}",
year = "1989",
school = "Laboratoire ARTEMIS (IMAG), Universite Joseph Fourier",
address = "BP~68, F--38402 St.~Martin d'Heres Cedex, France",
note = "(In French)"
}
@techreport{ipm:Khachian1,
author = "L. G. Khachian and M. J. Todd",
title = "On the complexity of approximating the maximal inscribed ellipsoid
for a polytope",
type = "{Technical Report}",
number = "893",
year = "1990",
institution = "School of Operations Research and Industrial Engineering,
College of Engineering, Cornell University",
address = "Ithaca, NY~14853--3801, USA"
}
@article{ipm:Kim1,
author = "K. Kim and J. L. Nazareth",
title = "The decomposition principle and algorithms for linear programming",
journal = "Linear Algebra and Its Applications",
volume = "152",
year = "1991",
pages = "119--133"
}
@techreport{ipm:Kim2,
author = "K. Kim and J. L. Nazareth",
title = "Implementation of a primal null--space affine scaling method and
its extensions",
type = "{Technical Report}",
number = "92--1",
year = "1992",
month = "January",
institution = "Department of Pure and Applied Mathematics, Washington
State University",
address = "Pullman, WA~99164--3113, USA"
}
@phdthesis{ipm:Kim3,
author = "K. Kim",
title = "The effective integration of simplex and interior point
techniques. {Part\,I\,: Decomposition, Part\,II\,: Null--space affine
scaling}",
year = "1991",
school = "Department of Pure and Applied Mathematics, Washington State
University",
address = "Pullman, WA~99164--3113, USA",
note = "According to Part\,I see Kim and Nazareth \cite{ipm:Kim1}, for
Part\,II see Kim and Nazareth \cite{ipm:Kim4}"
}
@article{ipm:Kim4,
author = "K. Kim and J. L. Nazareth",
title = "A primal null--space affine scaling method",
journal = "ACM Transactions on Mathematical Software",
volume = "20",
year = "1994",
pages = "373--392"
}
@article{ipm:Kiwiel1,
author = "K. C. Kiwiel",
title = "Efficiency of the analytic center cutting plane method for convex
minimization",
journal = "SIAM Journal on Optimization",
volume = "",
year = "1996",
pages = ""
}
@article{ipm:Kiwiel2,
author = "K. C. Kiwiel",
title = "Complexity of some cutting plane methods that use analytic
centers",
journal = "Mathematical Programming",
volume = "74",
year = "1996",
pages = "47--54"
}
@mastersthesis{ipm:Klebor1,
author = "S. Klebor",
title = "Interior Point Methods for Large Scale Portfolio Optimization",
year = "1994",
school = "Institute of Mathematics, University of G{\"o}ttingen",
address = "G{\"o}ttingen, Germany"
}
@techreport{ipm:Klerk1,
author = "{E. de} Klerk and C. Roos and T. Terlaky",
title = "Semi--definite problems in truss topology optimization",
type = "{Technical Report}",
number = "95--128",
year = "1995",
institution = "Faculty of Technical Mathematics and Informatics, TU Delft",
address = "NL--2600~GA~Delft, The Netherlands"
}
@techreport{ipm:Klerk2,
author = "{E. de} Klerk and C. Roos and T. Terlaky",
title = "A nonconvex weighted potential function for polynomial target
follwing methods",
type = "{Technical Report}",
number = "95--127",
year = "1995",
institution = "Faculty of Technical Mathematics and Informatics, TU Delft",
address = "NL--2600~GA~Delft, The Netherlands"
}
@article{ipm:Klerk3,
author = "{E. de} Klerk and C. Roos and T. Terlaky",
title = "Initialization in semidefinite programming via a self--dual
skew--symmetric embedding",
journal = "Opeartions Research Letters",
volume = "20",
year = "1997",
pages = "213--221"
}
@incollection{ipm:Klerk4,
author = "{E. de} Klerk and C. Roos and T. Terlaky",
title = "Infeasible start semidefinite programming algorithms via
self--dual embeddings",
booktitle = "Topics in Semidefinite and Interior--Point Methods",
editor = "P. M. Pardalos and H. Wolkowicz",
year = "1998",
pages = "215--236",
series = "Fields Institute Communications Series",
volume = "18",
publisher = "American Mathematical Society (AMS)",
address = "Providence, Rhode Island, USA"
}
@incollection{ipm:Klerk5,
author = "{E. de} Klerk and C. Roos and T. Terlaky",
title = "On primal--dual path following algorithms for semidefinite
programming",
booktitle = "{New Trends in Mathematical Programming}",
editor = "F. Gianessi and S. Koml{\'o}si and T. Rapcs{\'a}k",
year = "1998",
pages = "137--157",
publisher = "Kluwer Academic Publishers",
address = "Dordrecht, The Netherlands"
}
@article{ipm:Klerk6,
author = "{E. de} Klerk and C. Roos and T. Terlaky",
title = "Polynomial primal--dual affine scaling algorithms in semidefinite
programming",
journal = "Journal of Combinatorial Optimization",
volume = "2",
year = "1998",
pages = "51--69"
}
@incollection{ipm:Klerk7,
author = "{E. de} Klerk and C. Roos and T. Terlaky",
title = "A short survey on semidefinite programming",
booktitle = "{Ten Years LNMB, Ph.d. Research and Graduate Courses of the
Dutch Network of Operations Research}",
editor = "W. K. Klein Haneveld et al.",
pages = "323--339",
series = "CWI Tracts",
volume = "122",
year = "1997",
publisher = "Centrum for Mathematics and Informatics (CWI)",
address = "Amsterdam, The Netherlands"
}
@techreport{ipm:Klerk8,
author = "{E. de} Klerk and C. Roos and T. Terlaky",
title = "Primal--dual potential reduction methods for semidefinite
programming using affine--scaling directions",
type = "{Technical Report}",
number = "97--29",
year = "1997",
institution = "Faculty of Technical Mathematics and Informatics, TU Delft",
address = "NL--2600~GA~Delft, The Netherlands"
}
@phdthesis{ipm:Klerk9,
author = "{E. de} Klerk",
title = "Interior point methods for semidefinite programming",
year = "1997",
school = "Faculty of Technical Mathematics and Informatics, TU Delft",
address = "NL--2600~GA~Delft, The Netherlands"
}
@article{ipm:Kliokys1,
author = "E. Kliokys and E. Handschin and M. Langer",
title = "An interior point method for state elimination with current
magnitude measurements and inequality constraints",
journal = "Power Industry Computer Application Conference (Salt Lake
City, UT, USA, 1995)",
volume = "",
year = "1995",
pages = "385--391",
note = "See also Handschin et al. \cite{ipm:Handschin1}"
}
@article{ipm:Knyazev1,
author = "E. A. Knyazev",
title = "The method of centers with adaptation of parameters on the basis of
the steepest descent",
journal = "Issledovaniya po Prikladnoi Matematike (Kazanskii Universitet)",
volume = "15",
year = "1988",
pages = "13--24",
note = "(In Russian)"
}
@article{ipm:Koenker1,
author = "R. W. Koenker and B.--J. Park",
title = "An interior point algorithm for nonlinear quantile regression",
journal = "Journal of Econometrics",
volume = "71",
year = "1996",
pages = "265--283"
}
@article{ipm:Kojima1,
author = "M. Kojima",
title = "Determining basic variables of optimal solutions in
{Karmarkar's new LP} algorithm",
journal = "Algorithmica",
volume = "1",
number = "4",
year = "1986",
pages = "499--515"
}
@techreport{ipm:Kojima2,
author = "M. Kojima and K. Tone",
title = "An efficient implementation of {Karmarkar's new LP} algorithm",
type = "{Research Reports on Information Sciences, Ser.\,B\,: Operations
Research}",
number = "B--180",
year = "1986",
institution = "Department of Information Sciences, Tokyo Institute of
Technology",
address = "Oh--Okayama, Meguro--ku, Tokyo\,152, Japan"
}
@article{ipm:Kojima3,
author = "M. Kojima and N. Megiddo and Y. Ye",
title = "An interior point potential reduction algorithm for the linear
complementarity problem",
journal = "Mathematical Programming",
volume = "54",
year = "1992",
pages = "267--279"
}
@incollection{ipm:Kojima4,
author = "M. Kojima and S. Mizuno and A. Yoshise",
title = "A primal--dual interior point algorithm for linear programming",
booktitle = "Progress in Mathematical Programming\,: Interior Point and
Related Methods",
publisher = "Springer Verlag",
address = "New York",
editor = "N.~Megiddo",
year = "1989",
pages = "29--47"
}
@article{ipm:Kojima5,
author = "M. Kojima and S. Mizuno and A. Yoshise",
title = "Ellipsoids that contain all the solutions of a positive
semi--definite linear complementarity problems",
journal = "Mathematical Programming",
volume = "48",
year = "1990",
pages = "415--435"
}
@article{ipm:Kojima6,
author = "M. Kojima and S. Mizuno and A. Yoshise",
title = "An ${O(\sqrt{n}L)}$ iteration potential reduction algorithm
for linear complementarity problems",
journal = "Mathematical Programming",
volume = "50",
year = "1991",
pages = "331--342"
}
@article{ipm:Kojima7,
author = "M. Kojima and S. Mizuno and A. Yoshise",
title = "A polynomial--time algorithm for a class of linear
complementarity problems",
journal = "Mathematical Programming",
volume = "44",
year = "1989",
pages = "1--26"
}
@book{ipm:Kojima8,
author = "M. Kojima and N. Megiddo and T. Noma and A. Yoshise",
title = "{A Unified Approach to Interior Point Algorithms for Linear
Complementarity Problems}",
year = "1991",
series = "Lecture Notes in Computer Science",
volume = "538",
publisher = "Springer Verlag",
address = "Berlin, Germany"
}
@article{ipm:Kojima9,
author = "M. Kojima and N. Megiddo",
title = "The relation between the path of centers and {Smale's}
regularization of the linear programming problem",
journal = "Linear Algebra and Its Applications",
volume = "152",
year = "1991",
pages = "135--139"
}
@article{ipm:Kojima10,
author = "M. Kojima and Y. Kurita and S. Mizuno",
title = "Large--step interior point algorithms for linear complementarity
problems",
journal = "SIAM Journal on Optimization",
volume = "3",
number = "2",
year = "1993",
pages = "398--412"
}
@article{ipm:Kojima11,
author = "M. Kojima and N. Megiddo and S. Mizuno",
title = "A general framework of continuation methods for complementarity
problems",
journal = "Mathematics of Operations Research",
volume = "18",
year = "1993",
pages = "945--963"
}
@article{ipm:Kojima12,
author = "M. Kojima and N. Megiddo and S. Mizuno",
title = "Theoretical convergence of large--step--primal--dual interior point
algorithms for linear programming",
journal = "Mathematical Programming",
volume = "59",
year = "1993",
pages = "1--21"
}
@article{ipm:Kojima13,
author = "M. Kojima and S. Mizuno and T. Noma",
title = "A new continuation method for complementarity problems with
uniform {$P$}--functions",
journal = "Mathematical Programming",
volume = "43",
year = "1989",
pages = "107--113"
}
@article{ipm:Kojima14,
author = "M. Kojima and S. Mizuno and A. Yoshise",
title = "A little theorem of the {$Big-M$} in interior point algorithms",
journal = "Mathematical Programming",
volume = "59",
year = "1993",
pages = "361--375"
}
@article{ipm:Kojima15,
author = "M. Kojima and N. Megiddo and T. Noma and A. Yoshise",
title = "A unified approach to interior point algorithms for linear
complementarity problems\,: {A} summary",
journal = "Operations Research Letters",
volume = "10",
year = "1991",
pages = "247--254"
}
@article{ipm:Kojima16,
author = "M. Kojima and S. Mizuno and T. Noma",
title = "Limiting behavior of trajectories by a continuation method
for monotone complementarity problems",
journal = "Mathematics of Operations Research",
volume = "15",
number = "4",
year = "1990",
pages = "662--675"
}
@techreport{ipm:Kojima17,
author = "M. Kojima and N. Megiddo and T. Noma",
title = "Homotopy continuation methods for complementarity problems",
type = "{Research Report}",
number = "RJ~6638~(63949)",
year = "1989",
institution = "IBM Almaden Research Center",
address = "San Jose, CA~95120--6099, USA"
}
@article{ipm:Kojima18,
author = "M. Kojima and N. Megiddo and T. Noma",
title = "Homotopy continuation methods for nonlinear complementarity
problems",
journal = "Mathematics of Operations Research",
volume = "16",
number = "4",
year = "1991",
pages = "754--774"
}
@techreport{ipm:Kojima19,
author = "M. Kojima and N. Megiddo and S. Mizuno and A. Yoshise",
title = "An artificial self--dual linear program",
type = "{Talk held at the Fourth SIAM Conference on Optimization in Chicago,
IL, USA}",
year = "1992",
month = "May",
institution = "Department of Information Sciences, Tokyo Institute of
Technology",
address = "Oh--Okayama, Meguro--ku, Tokyo~152, Japan",
note = "See Kojima et al.\ \cite{ipm:Kojima14}"
}
@techreport{ipm:Kojima20,
author = "M. Kojima and N. Megiddo and S. Mizuno",
title = "A primal--dual exterior point algorithm for linear programming",
type = "{Research Report}",
number = "RJ~8500",
year = "1991",
month = "December",
institution = "IBM Almaden Research Center",
address = "San Jose, CA~95120--6099, USA",
note = "See also Kojima, Megiddo and Mizuno\,\cite{ipm:Kojima27}"
}
@article{ipm:Kojima21,
author = "M. Kojima and N. Megiddo and S. Mizuno",
title = "A conjugate direction method for approximating the analytic center
of a polytope",
journal = "Journal of Inequalities and Applications",
year = "1998",
volume = "2",
pages = "181--194"
}
@techreport{ipm:Kojima22,
author = "M. Kojima and T. Ishihara",
title = "On the {$Big~M$} in the affine scaling algorithm",
type = "{Research Reports on Information Sciences, Ser.\,B\,: Operations
Research}",
number = "B--255",
year = "1992",
month = "March",
institution = "Department of Information Sciences, Tokyo Institute of
Technology",
address = "Oh--Okayama, Meguro--ku, Tokyo~152, Japan"
}
@techreport{ipm:Kojima23,
author = "M. Kojima and T. Noma and M. Satoh",
title = "Potential reduction algorithms for monotone complementarity
problems",
type = "{Research Reports on Information Sciences, Ser.\,B\,: Operations
Research}",
number = "B--251",
year = "1992",
institution = "Department of Information Sciences, Tokyo Institute of
Technology",
address = "Oh--Okayama, Meguro--ku, Tokyo~152, Japan"
}
@article{ipm:Kojima24,
author = "M. Kojima and S. Mizuno and M. J. Todd",
title = "Infeasible--interior--point primal--dual potential--reduction
algorithms for linear programming",
journal = "SIAM Journal on Optimization",
volume = "5",
year = "1995",
pages = "52--67",
note = "See also Mizuno et al.\ \cite{ipm:Mizuno19}"
}
@techreport{ipm:Kojima25,
author = "M. Kojima and T. Noma and A. Yoshise",
title = "Global convergence and detecting infeasibility in interior--point
algorithms",
type = "{Research Reports on Information Sciences, Ser.\,B\,: Operations
Research}",
number = "B--257",
year = "1992",
month = "September",
institution = "Department of Information Sciences, Tokyo Institute of
Technology",
address = "Oh--Okayama, Meguro--ku, Tokyo~152, Japan",
note = "See also Kojima, Noma and Yoshise \cite{ipm:Kojima28}"
}
@techreport{ipm:Kojima26,
author = "M. Kojima and S. Mizuno and A. Yoshise",
title = "A convex property of monotone complementarity problems",
type = "{Research Reports on Information Sciences, Ser.\,B\,: Operations
Research}",
number = "B--267",
year = "1993",
month = "March",
institution = "Department of Information Sciences, Tokyo Institute of
Technology",
address = "Oh--Okayama, Meguro--ku, Tokyo~152, Japan"
}
@article{ipm:Kojima27,
author = "M. Kojima and N. Megiddo and S. Mizuno",
title = "A primal--dual infeasible--interior--point algorithm for linear
programming",
journal = "Mathematical Programming",
volume = "61",
year = "1993",
pages = "263--280",
note = "See also Kojima, Megiddo and Mizuno\,\cite{ipm:Kojima20}"
}
@article{ipm:Kojima28,
author = "M. Kojima and T. Noma and A. Yoshise",
title = "Global convergence in infeasible--interior--point algorithms",
journal = "Mathematical Programming",
volume = "65",
year = "1994",
pages = "43--72",
note = "See also Kojima, Noma and Yoshise \cite{ipm:Kojima25}"
}
@article{ipm:Kojima29,
author = "M. Kojima",
title = "Basic lemmas in polynomial--time infeasible--interior--point
methods for linear programs",
journal = "Annals of Operations Research",
volume = "62",
year = "1996",
pages = "1--28"
}
@techreport{ipm:Kojima30,
author = "M. Kojima",
title = "A primitive interior--point algorithm for semidefinite programs
in {Mathematica}",
type = "{Research Reports on Information Sciences, Ser.\,B\,: Operations
Research}",
number = "B--293",
year = "1994",
month = "December",
institution = "Department of Information Sciences, Tokyo Institute of
Technology",
address = "Oh--Okayama, Meguro--ku, Tokyo~152, Japan"
}
@article{ipm:Kojima31,
author = "M. Kojima and M. Shida and S. Shindoh",
title = "Reduction of monotone linear complementarity problems over cones
to linear programs over cones",
journal = "Acta Mathematica Vietnamica",
volume = "22",
year = "1997",
pages = "147--157"
}
@article{ipm:Kojima32,
author = "M. Kojima and S. Kojima and S. Hara",
title = "Linear algebra for semidefinite programming",
journal = "S{\= u}rikaisekikenky{\= u}sho K{\= o}ky{\= u}roku",
volume = "1004",
year = "1997",
pages = "1--23"
}
@article{ipm:Kojima33,
author = "M. Kojima and S. Shindoh and S. Hara",
title = "Interior--point methods for the monotone semidefinite linear
complementarity problem in symmetric matrices",
journal = "SIAM Journal on Optimization",
volume = "7",
year = "1997",
pages = "86--125"
}
@techreport{ipm:Kojima34,
author = "M. Kojima and N. Megiddo and S. Mizuno and S. Shindoh",
title = "Horizontal and vertical decomposition in interior point
methods for linear programs",
type = "{Research Report}",
number = "RJ~9901",
year = "1994",
institution = "IBM Almaden Research Center",
address = "San Jose, CA~95120--6099, USA"
}
@techreport{ipm:Kojima35,
author = "M. Kojima and M. Shida and S. Shindoh",
title = "Global and local convergence of predictor--corrector
infeasible--interior--point algorithms for semidefinite programs",
type = "{Research Reports on Information Sciences, Ser.\,B\,: Operations
Research}",
number = "B--305",
year = "1995",
month = "October",
institution = "Department of Information Sciences, Tokyo Institute of
Technology",
address = "Oh--Okayama, Meguro--ku, Tokyo\,152, Japan"
}
@article{ipm:Kojima36,
author = "M. Kojima and M. Shida and S. Shindoh",
title = "Local convergence of predictor--corrector
infeasible--interior--point algorithms for {SDP}s and {SDLCP}s",
journal = "Mathematical Programming",
volume = "80",
year = "1998",
pages = "129--160"
}
@techreport{ipm:Kojima37,
author = "M. Kojima and M. Shida and S. Shindoh",
title = "A predictor--corrector interior--point algorithm for the
semidefinite linear complementarity problem using the
{Alizadeh--Haeberly--Overton} search direction",
type = "{Research Reports on Information Sciences, Ser.\,B\,: Operations
Research}",
number = "B--311",
year = "1996",
month = "January",
institution = "Department of Information Sciences, Tokyo Institute of
Technology",
address = "Oh--Okayama, Meguro--ku, Tokyo\,152, Japan",
note = "To appear in {\em{SIAM Journal on Optimization}}"
}
@techreport{ipm:Kojima38,
author = "M. Kojima and M. Shida and S. Shindoh",
title = "A note on the {Nesterov--Todd} and the {Kojima--Shindoh--Hara}
search directions in semidefinite programming",
type = "{Research Reports on Information Sciences, Ser.\,B\,: Operations
Research}",
number = "B--313",
year = "1996",
month = "April",
institution = "Department of Mathematical and Computing Sciences, Tokyo
Institute of Technology",
address = "Oh--Okayama, Meguro--ku, Tokyo\,152, Japan"
}
@techreport{ipm:Kojima39,
author = "M. Kojima",
title = "Semidefinite programming and interior--point methods",
type = "{Research Reports on Information Sciences, Ser.\,B\,: Operations
Research}",
number = "B--314",
year = "1996",
month = "April",
institution = "Department of Mathematical and Computing Sciences, Tokyo
Institute of Technology",
address = "Oh--Okayama, Meguro--ku, Tokyo\,152, Japan"
}
@techreport{ipm:Kojima40,
author = "M. Kojima and M. Shida and S. Shindoh",
title = "Search directions in the {SDP} and the monotone {SDLCP}\,:
{Generalization} and inexact computation",
type = "{Research Reports on Information Sciences, Ser.\,B\,: Operations
Research}",
number = "B--327",
year = "1997",
month = "March",
institution = "Department of Mathematical and Computing Sciences, Tokyo
Institute of Technology",
address = "Oh--Okayama, Meguro--ku, Tokyo\,152, Japan"
}
@techreport{ipm:Kojima41,
author = "M. Kojima and L. Tun{\c{c}}el",
title = "Cones of matrices and successive convex relaxations of nonconvex sets",
type = "{Research Reports on Information Sciences, Ser.\,B\,: Operations
Research}",
number = "B--338",
year = "1998",
month = "March",
institution = "Department of Mathematical and Computing Sciences, Tokyo
Institute of Technology",
address = "Oh--Okayama, Meguro--ku, Tokyo\,152, Japan"
}
@article{ipm:Kojima42,
author = "M. Kojima and L. Tun{\c{c}}el",
title = "Monotonicity of primal-dual interior-point algorithms for
semidefinite programming problems",
journal = "Optimization Methods and Software",
volume = "10",
year = "1998",
pages = "275--296"
}
@techreport{ipm:Kojima43,
author = "M. Kojima and N. Megiddo and S. Mizuno",
title = "A {Lagrangian} relaxation method for approximating the
analytic center of a polytope",
type = "{Technical Report}",
number = "",
year = "1992",
month = "",
institution = "IBM Almaden Research Center",
address = "San Jose, CA~95120--6099, USA"
}
@techreport{ipm:Kojima44,
author = "M. Kojima and L. Tun{\c{c}}el",
title = "Discretization and localization in successive convex
relaxation methods for nonconvex quadratic optimization problems",
type = "{Research Report}",
number = "B--341",
year = "1998",
month = "July",
institution = "Department of Mathematical and Computing Sciences,
Tokyo Institute of Technology",
address = "Oh--Okayama, Meguoro, Tokyo\,152, Japan",
note = "Also availble as\,: Technical Report COOR\,98--34, Department
of Combinatorics and Optimization, University of Waterloo, Waterloo,
Ontario\,N2L\,3G1, Canada"
}
@article{ipm:Kolata1,
author = "G. Kolata",
title = "A fast way to solve hard problems",
journal = "Science",
volume = "225",
year = "1984",
month = "September",
pages = "1379--1380"
}
@techreport{ipm:Konno1,
author = "H. Konno and Y. Yajima",
title = "Path--following algorithms for solving nonconvex programming
problems",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Philadelphia,
PA, USA}",
year = "1990",
month = "October",
institution = "Institute of Human and Social Science, Institute of
Technology",
address = "2--12--1~Oh--Okayama, Meguro--ku, Tokyo\,152, Japan"
}
@article{ipm:Konno2,
author = "H. Konno",
title = "Recent advances in linear programming",
journal = "Journal of the Japan Society of Simulation Technology",
volume = "6",
number = "1",
year = "1987",
month = "March",
pages = "18--26",
note = "(In Japanese)"
}
@techreport{ipm:Kortanek1,
author = "K. O. Kortanek",
title = "Vector--supercomputer experiments with the linear programming
scaling algorithm",
type = "{Working Paper Series}",
number = "87--2",
year = "1987",
institution = "Department of Management Science, College of Business
Administration, University of Iowa",
address = "Iowa City, IA~52240, USA",
note = "See Kortanek and Zhu \cite{ipm:Kortanek13}, too"
}
@techreport{ipm:Kortanek2,
author = "K. O. Kortanek",
title = "A second order affine scaling algorithm for the geometric
programming dual with logarithmic barrier",
type = "{Talk held at the DGOR--Jahrestagung in Vienna, Austria}",
year = "1990",
month = "August",
institution = "Department of Management Science, College of Business
Administration, University of Iowa",
address = "Iowa City, IA~52240, USA",
note = "See Kortanek and Ho \cite{ipm:Kortanek7}"
}
@article{ipm:Kortanek3,
author = "K. O. Kortanek and M. Shi",
title = "Convergence results and numerical experiments on a linear
programming hybrid algorithm",
journal = "European Journal of Operational Research",
volume = "32",
year = "1987",
pages = "47--61"
}
@article{ipm:Kortanek4,
author = "K. O. Kortanek and J. Zhu",
title = "New purification algorithms for linear programming",
journal = "Naval Research Logistics Quarterly",
volume = "35",
year = "1988",
pages = "571--583"
}
@techreport{ipm:Kortanek5,
author = "K. O. Kortanek and D. N. Leo and M. Shi",
title = "An application of a hybrid algorithm for semi--infinite
programming",
type = "{Talk held at the 12th Symposium on Mathematical Programming,
Cambridge, MA, USA}",
year = "1985",
institution = "Department of Management Science, College of Business
Administration, University of Iowa",
address = "Iowa City, IA~52240, USA"
}
@article{ipm:Kortanek6,
author = "K. O. Kortanek and F. Potra and Y. Ye",
title = "On some efficient interior point methods for nonlinear convex
programming",
journal = "Linear Algebra and Its Applications",
volume = "152",
year = "1991",
pages = "169--189"
}
@article{ipm:Kortanek7,
author = "K. O. Kortanek and H. No",
title = "A second order affine scaling algorithm for the geometric
programming dual with logarithmic barrier",
journal = "Optimization",
volume = "23",
year = "1992",
pages = "303--322"
}
@article{ipm:Kortanek8,
author = "K. O. Kortanek and J. Zhu",
title = "Controlling the parameter in the logarithmic barrier term for
convex programming problems",
journal = "Journal of Optimization Theory and Applications",
volume = "84",
year = "1995",
pages = "117--143"
}
@techreport{ipm:Kortanek9,
author = "K. O. Kortanek and S. Huang and J. Zhu",
title = "Central path trajectories and controlled dual perturbations for
geometric programming",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Anaheim, CA,
USA}",
year = "1991",
month = "November",
institution = "Department of Management Science, College of Business
Administration, University of Iowa",
address = "Iowa City, IA~52240, USA"
}
@techreport{ipm:Kortanek10,
author = "K. O. Kortanek and S. Huang",
title = "A simultaneous primal--dual potential reduction algorithm for
linear programming",
type = "{Working Paper Series}",
number = "89--2",
year = "1989",
institution = "Department of Management Science, College of Business
Administration, University of Iowa",
address = "Iowa City, IA~52240, USA"
}
@article{ipm:Kortanek11,
author = "K. O. Kortanek and S. Huang",
title = "A note on a potential reduction algorithm with simultaneous
primal/dual updating",
journal = "Operations Research Letters",
volume = "10",
year = "1992",
pages = "501--507"
}
@article{ipm:Kortanek12,
author = "K. O. Kortanek and J. Zhu",
title = "A polynomial barrier algorithm for linearly constrained convex
programming problems",
journal = "Mathematics of Operations Research",
volume = "18",
number = "1",
year = "1993",
pages = "116--127"
}
@article{ipm:Kortanek13,
author = "K. O. Kortanek",
title = "Vector--supercomputer experiments with the primal affine linear
programming scaling algorithm",
journal = "SIAM Journal on Scientific Computations",
volume = "14",
year = "1993",
pages = "279--294"
}
@article{ipm:Kortanek14,
author = "K. O. Kortanek and X. J. Xu and Y. Ye",
title = "An infeasible interior--point algorithm for solving primal and
dual geometric programs",
journal = "Mathematical Programming",
volume = "76",
year = "1997",
pages = "155--181"
}
@article{ipm:Korytowski1,
author = "A. Korytowski",
title = "Inner search methods for linear programming",
journal = "Zastosowania Matematyki (Warshaw, Poland)",
volume = "20",
number = "2",
year = "1990",
pages = "307--327"
}
@phdthesis{ipm:Korzak1,
author = "J. Korzak",
title = "{Primal--duale pfadfolgende inexacte {\"a}u{\ss}ere--Punkte--Verfahren
zur L{\"o}sung lineare Optimierungsaufgaben (Primal--dual path--following
inexact exterior point methods for the solution of linear optimization
problems}",
year = "1997",
school = "Department of Mathematics and Informatics, University of Wuppertal",
address = "Gauss--Str.20, D--42097 Wuppertal, Germany",
note = "(In German)"
}
@article{ipm:Kovacevic1,
author = "V. V. {Kova\u{c}evi{\'c}--Vuj\u{c}i{\'c}}",
title = "Improving the rate of convergence of interior point methods for
linear programming",
journal = "Mathematical Programming",
volume = "52",
year = "1991",
pages = "467--479"
}
@techreport{ipm:Kovacevic2,
author = "V. V. {Kova\u{c}evi{\'c}--Vuj\u{c}i{\'c}}",
title = "Interior point methods for transportation problems",
type = "{Talk held at the Symposium on Mathematical Programming in
Oberwolfach, Germany}",
year = "1992",
month = "January",
institution = "University of Belgrade",
address = "Belgrade, Yugoslavia"
}
@incollection{ipm:Kovacevic3,
author = "V. V. {Kova\u{c}evi{\'c}--Vuj\u{c}i{\'c}}",
title = "Stabilization of path--following interior point methods for linear
programming",
year = "1995",
booktitle = "IX Conference on Applied Mathematics (Budva, 1994)",
pages = "245--258",
publisher = "University of Novi Sad",
address = "Novi Sad, Yugoslavia"
}
@article{ipm:Kovacevic4,
author = "V. V. {Kova\u{c}evi{\'c}--Vuj\u{c}i{\'c}}",
title = "A view of interior point methods for linear programming",
journal = "Yugoslavian Journal of Operations Research",
volume = "5",
year = "1995",
pages = "173--193"
}
@article{ipm:Kovacevic5,
author = "V. V. {Kova\u{c}evi{\'c}--Vuj\u{c}i{\'c}} and M. D. Asi{\'c}",
title = "An interior point method for transportation problems",
journal = "Facta Universitatis\,: Series Mathematics and Informatics",
volume = "11",
year = "1996",
pages = "157--170"
}
@article{ipm:Kozlov1,
author = "A. Kozlov",
title = "The {Karmarkar} algorithm\,: {Is} it for real~?",
journal = "SIAM News",
volume = "18",
number = "6",
year = "1985",
month = "November",
pages = "1, 4, 13"
}
@article{ipm:Kozlov2,
author = "A. Kozlov and L. W. Black",
title = "Berkeley obtains new results with {Karmarkar} algorithm",
journal = "SIAM News",
volume = "19",
number = "3",
year = "1986",
month = "May",
pages = "3, 20"
}
@techreport{ipm:Kranich1,
author = "E. Kranich",
title = "Interior point methods for mathematical programming\,: {A}
bibliography",
type = "{Discussion Paper}",
number = "171",
year = "1991",
month = "May",
institution = "Institute of Economy and Operations Research,
FernUniversit{\"a}t Hagen",
address = "P.O. Box~940, D--5800~Hagen~1, Germany",
note = "Available through {\em netlib}, see Kranich \cite{ipm:Kranich2}"
}
@article{ipm:Kranich2,
author = "E. Kranich",
title = "Interior--point methods bibliography",
journal = "SIAG/OPT Views--and--News, A Forum for the SIAM Activity
Group on Optimization",
volume = "1",
year = "1992",
pages = "11"
}
@mastersthesis{ipm:Krawczyk1,
author = "R. Krawczyk",
title = "{L{\"o}sung des Erf{\"u}llbarkeitsproblems mit der Interior--Point
Methode (Solution of the satisfiability problem with the interior--point
method)}",
year = "1994",
month = "September",
school = "{Mathematisches Institut, Heinrich--Heine--Universit{\"a}t
D{\"u}sseldorf}",
address = "P.O. Box, Geb{\"a}ude~25.00, D{\"u}sseldorf, Germany",
note = "(In German)"
}
@techreport{ipm:Kruk1,
author = "S. Kruk and M. Muramatsu and F. Rendl and R. J. Vanderbei and
H. Wolkowicz",
title = "The {Gauss--Newton} direction in semidefinite programming",
type = "{Manuscript}",
number = "",
year = "1998",
month = "May",
institution = "",
address = ""
}
@article{ipm:Kumke1,
author = "S. O. Kumke",
title = "On the convergence of a modified barrier function method for
convex quadratic and linear programming",
journal = "Zeitschrift f{\"u}r Angewandte Mathematik und Mechanik",
volume = "76",
year = "1996",
pages = "485--486"
}
@techreport{ipm:Lagarias1,
author = "J. C. Lagarias",
title = "Analytic algorithms for linear programming",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in New Orleans,
USA}",
year = "1987",
month = "May",
institution = "AT~\&~T Bell Laboratories",
address = "Murray Hill, NJ~07974, USA"
}
@article{ipm:Lagarias2,
author = "J. C. Lagarias",
title = "The nonlinear geometry of linear programming, {Part\,III}\,:
{Projective Legrende} transform coordinates and {Hilbert} geometry",
journal = "Transactions of the American Mathematical Society",
volume = "320",
year = "1990",
pages = "193--225"
}
@book{ipm:Lagarias3,
author = "J. C. Lagarias and M. J. Todd",
title = "Mathematical Developments Arising from Linear Programming\,:
Proceedings of a Joint Summer Research Conference held at Bowdoin College,
Brunswick, Maine, USA, June/July 1988",
year = "1990",
series = "Contemporary Mathematics",
volume = "114",
publisher = "American Mathematical Society",
address = "Providence, Rhode Island, USA"
}
@article{ipm:Lagarias4,
author = "J. C. Lagarias",
title = "A collinear scaling interpretation of {Karmarkar's} linear
programming algorithm",
journal = "SIAM Journal on Optimization",
volume = "3",
year = "1993",
pages = "630--636"
}
@article{ipm:Lange1,
author = "K. Lange",
title = "An adaptive barrier method for convex programming",
journal = "Methods and Applications of Analysis",
volume = "1",
year = "1994",
pages = "392--402"
}
@mastersthesis{ipm:Lanser1,
author = "S. Lanser",
title = "Barrier functions for the interior point methods for nonlinear
programming and their relation to the characteristic function",
year = "1995",
school = "Faculty of Technical Mathematics and Informatics, Delft
University of Technology",
address = "NL--2600 Delft, The Netherlands",
url = "ftp://ftp.twi.tudelft.nl/TWI/publications/masters--theses/S.Lanser.ps.gz"
}
@techreport{ipm:Lasdon1,
author = "L. S. Lasdon and J. C. Plummer and G. Yu",
title = "An interior point algorithm for general nonlinear programs",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Anaheim, CA,
USA}",
year = "1991",
month = "November",
institution = "Department of Management Science and Information Systems,
College of Business Administration, University of Texas at Austin",
address = "Austin, TX~78712, USA"
}
@techreport{ipm:Lasdon2,
author = "L. S. Lasdon and J. C. Plummer and G. Yu",
title = "An interior point algorithm for general nonlinear programs",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Orlando, FL,
USA}",
year = "1992",
month = "April",
institution = "Department of Management Science and Information Systems,
College of Business Administration, University of Texas at Austin",
address = "Austin, TX~78712, USA"
}
@techreport{ipm:Lasdon3,
author = "L. S. Lasdon",
title = "An interior point method for nonlinearly constrained problems",
type = "{Talk held at the Fourth SIAM Conference on Optimization in Chicago,
IL, USA}",
year = "1992",
month = "May",
institution = "Department of Management Science and Information Systems,
College of Business Administration, University of Texas at Austin",
address = "Austin, TX~78712, USA"
}
@article{ipm:Lasdon4,
author = "L. S. Lasdon and J. Plummer and G. Yu",
title = "Primal--dual and primal interior point algorithms for general
nonlinear programs",
journal = "ORSA Journal on Computing",
volume = "7",
year = "1995",
pages = "321--332"
}
@techreport{ipm:Lawler1,
author = "E. L. Lawler",
title = "Is {Karmarkar's} algorithm for real\,?",
type = "{Talk held at the EURO VII Congress on Operations Research in
Bologna, Italy}",
year = "1985",
month = "June",
institution = "University of California",
address = "Berkeley, CA~94720, USA"
}
@article{ipm:Lebret1,
author = "H. Lebret",
title = "Optimal beamforming via interior point methods",
journal = "Journal of VLSI Signal Processing",
volume = "14",
year = "1996",
pages = "29--41"
}
@article{ipm:Lee1,
author = "J.--H. Lee and C.--K. Chen",
title = "Minimax design of two--dimensional {FIR} digital filters by using
an interior--point algorithm",
journal = "IEEE International Symposium on Circuits and Systems",
volume = "1",
year = "1993",
pages = "894--897"
}
@techreport{ipm:Lee2,
author = "E. K. Lee",
title = "Solving mixed integer nonlinear programming problems using an
interior point method",
type = "{RPI Mathematical Report}",
number = "",
year = "1997",
month = "May",
institution = "Department of Mathematical Sciences, Rensselaer Polytechnic
Institute",
address = "Troy, NY~12180--3590, USA"
}
@article{ipm:Lee3,
author = "E. K. Lee",
title = "Computational experience of an interior point algorithm in a
parallel branch--and--cut framework",
journal = "Proceedings of the Eighth SIAM Conference on Parallel Processing
for Scientific Computing",
year = "1997",
pages = "8pp. (electronic)"
}
@techreport{ipm:Lee4,
author = "E. K. Lee and J. E. Mitchell",
title = "Computational experience of an interior--point {SQP} algorithm
in a parallel branch--and--bound framework",
type = "{Technical Report}",
number = "LEC~97--08",
year = "1997",
month = "September",
institution = "School of Industrial and Systems Engineering, Georgia
Technology Institute",
address = "Atlanta, GA~30322--0205, USA"
}
@phdthesis{ipm:Lehmkuhl1,
author = "L. Lehmkuhl",
title = "A polynomial primal--dual interior point method for convex
programming with quadratic constraints",
year = "1993",
school = "School of Engineering and Applied Science, Department of
Operations Research, The George Washington University",
address = "Washington, D.C.~20052, USA"
}
@incollection{ipm:Leibfritz1,
author = "F. Leibfritz and E. W. Sachs",
title = "Numerical solution of parabolic state constrained control problems
using {SQP}-- and interior--point--methods",
booktitle = "Large--Scale Optimization\,: The State--of--the --Art",
editor = "W. W. Hager and D. W. Hearn and P. M. Pardalos",
year = "1994",
pages = "245--258",
publisher = "Kluwer Academic Publishers",
address = "Dordrecht, The Netherlands"
}
@techreport{ipm:Leibfritz2,
author = "F. Leibfritz and E. W. Sachs",
title = "Inexact {SQP} interior point methods and large scale optimal
control problems",
type = "{Forschungsbericht}",
number = "96--6",
year = "1996",
institution = "Institut f{\"u}r Mathematik und Informatik, Universit{\"a}t
Trier",
address = "Trier, Germany"
}
@mastersthesis{ipm:Lely1,
author = "{W. van der} Lely",
title = "{BIN\,:\,A binary integer programming code using interior--point
methods}",
year = "1993",
month = "June",
school = "Faculty of Technical Mathematics and Informatics, TU Delft",
address = "NL--2628~CD~Delft, The Netherlands"
}
@article{ipm:Lemmon1,
author = "M. D. Lemmon and P. T. Szymanski and C. Bett",
title = "Interior--point competitive learning of control agents in
colony--style systems",
journal = "Proceedings of the SPIE (The International Society for Optical
Engineering",
year = "1995",
pages = "426--"
}
@techreport{ipm:Levkovitz1,
author = "R. Levkovitz and G. Mitra and M. Tamiz",
title = "Integration of the interior point method within simplex\,:
{Experiments} in feasible basis recovery",
type = "{Technical Report}",
year = "1991",
institution = "Department of Mathematics and Statistics, Brunel
University",
address = "Uxbridge, Middlesex~UB8~3PH, United Kingdom"
}
@incollection{ipm:Levkovitz2,
author = "R. Levkovitz and J. A. Andersen and G. Mitra",
title = "The interior point method for {LP} on parallel computers",
booktitle = "System Modelling and Optimization (Proceedings of the 15th
IFIP Conference held at the University of Zurich 1991)",
editor = "P. Kall",
year = "1992",
pages = "241--250",
series = "Lecture Notes in Control and Information Sciences",
volume = "180",
publisher = "Springer Verlag",
address = "Berlin, Germany"
}
@phdthesis{ipm:Levkovitz3,
author = "R. Levkovitz",
title = "An investigation of the interior point method for large scale
programming\,:\,{Theory} and computational algorithms",
year = "1992",
month = "October",
school = "Mathematics Department, Brunel University",
address = "Uxbridge MDDX~UB8~3PH, United Kingdom"
}
@incollection{ipm:Levkovitz4,
author = "R. Levkovitz and G. Mitra and M. Tamiz",
title = "Experimental investigations in combining {IPM} and {Simplex}
based {LP} solvers",
booktitle = "Symposium on Applied Mathematical Programming and Modeling
(APMOD '93), Budapest, Hungary, January 1993, Volume of Extended Abstracts",
editor = "I. Maros",
year = "1992",
month = "December",
pages = "353--373",
publisher = "Computer and Automation Institute, Hungarian Academy of Sciences",
address = "Budapest, Hungary"
}
@incollection{ipm:Levkovitz5,
author = "R. Levkovitz and G. Mitra",
title = "Solution of large sparse symmetric equations on a transputer
network",
booktitle = "Proceedings of the 3rd International Conference on
Applications of Transputers",
editor = "T. S. Durrani",
year = "1991",
pages = "105--110",
publisher = "IOS Press",
address = "Amsterdam, The Netherlands"
}
@incollection{ipm:Levkovitz6,
author = "R. Levkovitz and G. Mitra",
title = "Cholesky factorization of sparse symmetric positive definite
matrices on distributed parallel computers",
booktitle = "Transputing in Numerical and Neural Network Applications",
editor = "G. L. Reijns and J. Luo",
year = "1992",
pages = "30--47",
publisher = "IOS Press",
address = "Amsterdam, The Netherlands"
}
@incollection{ipm:Levkovitz7,
author = "R. Levkovitz and G. Mitra",
title = "Solution of large--scale linear programs\,: {A} review of
hardware, software and algorithmic issues",
booktitle = "Optimization in Industry\,: Mathematical Programming and
Modeling Techniques in Practice",
editor = "T. Ciriani and R. C. Leachman",
year = "1993",
pages = "139--171",
publisher = "John Wiley \& Sons",
address = "New York, NY, USA"
}
@article{ipm:Levkovitz8,
author = "R. Levkovitz and G. Mitra",
title = "Experimental investigations in combining primal--dual
interior--point method and simplex based {LP} solvers",
journal = "Annals of Operations Research",
volume = "58",
year = "1995",
pages = "19--38"
}
@article{ipm:Lewis1,
author = "A. S. Lewis and M. L. Overton",
title = "Eigenvalue optimization",
journal = "Acta Numerica",
year = "1996",
pages = "149--190"
}
@article{ipm:Lewis2,
author = "A. S. Lewis and A. B. Philpott",
title = "Experiments with affine scaling and semi--infinite programming",
journal = "New Zealand Journal of Mathematics",
volume = "24",
number = "2",
year = "1995",
pages = "49--71"
}
@techreport{ipm:Li1,
author = "G. Li and I. J. Lustig",
title = "An implementation of a parallel interior point method for
multicommodity flow problems",
type = "{Talk held at the Fourth SIAM Conference on Optimization in Chicago,
IL, USA}",
year = "1992",
month = "May",
institution = "Department of Mathematical Sciences, Rice University",
address = "Houston, TX~77251, USA"
}
@article{ipm:Li2,
author = "Y. Li",
title = "A globally convergent method for {$l_{p}$} problems",
journal = "SIAM Journal on Optimization",
volume = "3",
year = "1993",
pages = "609--629"
}
@article{ipm:Li3,
author = "K.--F. Li and H.--C. Liu",
title = "An efficient algorithm for solving {LP} problems",
journal = "Chinese Journal of Mathematics",
volume = "24",
year = "1996",
pages = "167--175"
}
@article{ipm:Li4,
author = "X.--Q. Li and Q.--Y. Miao",
title = "An infeasible interior point algorithm for convex quadratic
programming problems",
journal = "?",
volume = "?",
year = "?",
pages = "?",
note = "Found in CMP (1998), p. 283!"
}
@phdthesis{ipm:Liao1,
author = "A. P. Liao",
title = "Algorithms for linear programming via weighted centers",
year = "1992",
month = "January",
school = "School of Operations Research and Industrial Engineering, Cornell
University",
address = "Ithaca, NY~14853--3801, USA"
}
@article{ipm:Liao2,
author = "A. P. Liao",
title = "Some variants of {Todd's} low--complexity algorithm",
journal = "Journal on Optimization Theory and Applications",
volume = "86",
year = "1995",
pages = "173--190"
}
@article{ipm:Liao3,
author = "A. P. Liao and M. J. Todd",
title = "Solving {LP} problems via weighted centers",
journal = "SIAM Journal on Optimization",
volume = "6",
year = "1996",
pages = "933--960"
}
@article{ipm:Lieu1,
author = "B. Lieu and P. HUard",
title = "La methode des centres dans un espace topolique",
journal = "Numerische Mathematik",
volume = "8",
year = "1966",
pages = "56--67"
}
@techreport{ipm:Lin1,
author = "C.--J. Lin",
title = "A dual affine scaling based algorithm for solving linear
semi--infinite programming problems",
type = "{OR Research Report}",
number = "269",
year = "1993",
month = "July",
institution = "Operations Research Program, North Carolina State
University",
address = "Raleigh, NC~27695, USA",
note = "See also C.--J. Lin, S.--C. Fang and S.--Y. Wu \cite{ipm:Lin2}"
}
@incollection{ipm:Lin2,
author = "C.--J. Lin and S.--C. Fang and S.--Y. Wu",
title = "A dual affine scaling based algorithm for solving linear
semi--infinite programming problems",
booktitle = "Advances in Optimization and Approximation",
editor = "D.--Z. Du and J. Sun",
year = "1994",
pages = "217--234",
series = "Nonconvex Optimization and Its Applications",
volume = "1",
publisher = "Kluwer Academic Publishers",
address = "Dordrecht, The Netherlands"
}
@techreport{ipm:Lin3,
author = "C.--J. Lin and R. Saigal",
title = "A predictor--corrector method for semidefinite linear programming",
type = "{Technical Report}",
year = "1995",
month = "October",
institution = "Department of Industrial and Operational Engineering,
University of Michigan",
address = "Ann Arbor, MI~48109--2117, USA",
note = "Revised December 1995"
}
@article{ipm:Lin4,
author = "C.--Y. Lin and M. K. H. Fan",
title = "Convergence analysis of an interior point method in convex
programming, regular constraint case",
journal = "Proceedings of the 34th Conference on Decision and Control",
volume = "Part 2/4",
year = "1995",
pages = "1103--1108"
}
@techreport{ipm:Lin5,
author = "C.--J. Lin and R. Saigal",
title = "An infeasible start predictor--corrector method for semidefinite
linear programming",
type = "{Technical Report}",
year = "1995",
institution = "Department of Industrial and Operational Engineering,
University of Michigan",
address = "Ann Arbor, MI~48109--2117, USA"
}
@article{ipm:Lin6,
author = "Z. Lin and Y. Lin and B. Yu",
title = "A combined homotopy interior point method for general nonlinear
programming problems",
journal = "Applied Mathematics and Computation",
volume = "80",
year = "1996",
pages = "209--224"
}
@article{ipm:Lin7,
author = "Z. Lin and B. Yu and G. Feng",
title = "A combined homotopy interior point method for convex nonlinear
programming",
journal = "Applied Mathematics and Computation",
volume = "84",
year = "1997",
pages = "193--211"
}
@techreport{ipm:Lin8,
author = "C.--J. Lin and R. Saigal",
title = "On solving large--scale semidefinite programming problems\,:
{A} case study of quadratic assignment problem",
type = "{Technical Report}",
year = "1997",
month = "December",
institution = "Department of Industrial and Operational Engineering,
University of Michigan",
address = "Ann Arbor, MI~48109--2117, USA"
}
@techreport{ipm:Lindfield1,
author = "G. R. Lindfield and A. Salhi",
title = "A comparative study of the performance and implementation of the
{Karmarkar} algorithm",
type = "{Talk held at the Martin Beale Memorial Symposium in London,
United Kindom}",
year = "1987",
month = "July",
institution = "Department of Computer Science and Applied Mathematics,
Aston University",
address = "Birmingham B4~7ET, United Kingdom"
}
@techreport{ipm:Ling1,
author = "P. D. Ling",
title = "A new proof for the new primal--dual affine scaling
interior--point algorithm of {Jansen, Roos and Terlaky}",
type = "{Technical Report}",
number = "SYS--C93--09",
year = "1993",
institution = "School of Information Systems, University of East--Anglia",
address = "Norwich, Great Britain"
}
@techreport{ipm:Ling2,
author = "P. D. Ling",
title = "A predictor--vcorrector algorithm",
type = "{Working Paper}",
year = "1993",
institution = "School of Information Systems, University of East--Anglia",
address = "Norwich, Great Britain"
}
@article{ipm:Lisser1,
author = "A. Lisser and P. Tolla",
title = "Variants of {Karmarkar's} algorithm",
journal = "Electricite de France (EDF) Bulletin de la Direction des
Etudes et Recherches Serie C Mathematique, Informatique (Paris)",
volume = "3",
year = "1989",
pages = "21--36"
}
@techreport{ipm:Lisser2,
author = "A. Lisser and N. Maculan and M. Minoux",
title = "Approximate one--dimensional minimization of the potential
function improves the convergence speed of {Karmarkar's} method",
type = "{Unpublished Manuscript}",
year = "1985",
institution = "Laboratoire de Analyse et Modelisation de Systemes pour
l'Aide a la Decision (LAMSADE), Universite de Paris Dauphine",
address = "F--75775~Paris~Cedex~16, France"
}
@techreport{ipm:Lisser3,
author = "A. Lisser and N. Maculan and M. Minoux",
title = "Large steps preserving polynomiality in {Karmarkar's} algorithm",
type = "Cahier",
number = "77",
year = "1987",
institution = "Laboratoire de Analyse et Modelisation de Systemes pour
l'Aide a la Decision (LAMSADE), Universite de Paris Dauphine",
address = "F--75775~Paris~Cedex~16, France"
}
@techreport{ipm:Lisser4,
author = "A. Lisser and M. J. Chifflet",
title = "A comparison of projective and affine approaches in interior point
methods",
type = "{Talk held at the TIMS/SOBRAPO Joint International Meeting in Rio de
Janeiro, Brazil}",
year = "1991",
month = "July",
institution = "Centre National d'Etudes des Telecommunications, PAA--ATR",
address = "38--40~Rue du General--Leclerc, F--92131~Issy--Les--Moulineaux,
France"
}
@techreport{ipm:Lisser5,
author = "A. Lisser and P.Tolla",
title = "An efficient software using the {Karmarkar's} algorithm",
type = "{Talk held at the EURO/TIMS Joint International Conference on
Operational Research in Paris, France}",
year = "1988",
month = "July",
institution = "Laboratoire de Analyse et Modelisation de Systemes pour
l'Aide a la Decision (LAMSADE), Universite de Paris Dauphine",
address = "F--75775~Paris~Cedex~16, France"
}
@phdthesis{ipm:Lisser6,
author = "A. Lisser",
title = "Un logiciel derive de l'algorithme de {Karmarkar} pour la
resolution de programmes lineaires de grande taille {(A computational
derivation of Karmarkar's algorithm for the solution of large--scaled linear
programs)}",
year = "1987",
school = "Laboratoire de Analyse et Modelisation de Systemes pour
l'Aide a la Decision (LAMSADE), Universite de Paris Dauphine",
address = "F--75775~Paris~Cedex~16, France",
note = "(In French)"
}
@article{ipm:Litvinchev1,
author = "I. S. Litvinchev",
title = "The application of lower bounds for minimization by the interior
point method",
journal = "Zhurnal Vchyislitelnoi Matematiki i Matematicheskoi Fiziki
(Nauk, Moscow)",
volume = "34",
year = "1994",
pages = "978--983",
note = "(In Russian). Translated in\,: {\em Computational Mathematics and
Mathematical Physics 34 (1994):\,843--847}"
}
@techreport{ipm:Liu1,
author = "S. Liu",
title = "A long step path--following algorithm for linear programming",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Las Vegas, NV,
USA}",
year = "1990",
month = "May",
institution = "Department of Industrial Engineering and Operations
Research, Columbia University",
address = "New York, NY~10027, USA"
}
@techreport{ipm:Liu2,
author = "S. Liu and D. Goldfarb",
title = "Interior point potential function reduction algorithms for
solving convex quadratic programming",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in New York, NY,
USA}",
year = "1989",
month = "October",
institution = "Department of Industrial Engineering and Operations
Research, Columbia University",
address = "New York, NY~10027, USA",
note = "See Goldfarb and Liu \cite{ipm:Goldfarb10}"
}
@phdthesis{ipm:Liu3,
author = "S. Liu",
title = "Interior point methods for linear, convex quadratic, and convex
programming",
year = "1991",
school = "Department of Industrial Engineering and Operations
Research, Columbia University",
address = "New York, NY~10027, USA"
}
@book{ipm:Lootsma1,
author = "F. A. Lootsma",
title = "Numerical Methods for Nonlinear Optimization",
publisher = "Academic Press",
year = "1972",
address = "London, United Kingdom"
}
@article{ipm:Lord1,
author = "E. A. Lord and V. C. Venkaiah and S. K. Sen",
title = "Solution of linear programming problems by a centering algorithm",
journal = "Proceedings of the CSI--91",
volume = "",
year = "1991",
pages = "433--439"
}
@article{ipm:Lord2,
author = "E. A. Lord and V. C. Venkaiah and S. K. Sen",
title = "A shrinking polytope method for linear programming",
journal = "Neural Parallel Scientific Computing",
volume = "4",
year = "1996",
pages = "325--339"
}
@techreport{ipm:Loute1,
author = "E. Loute and J.--Ph. Vial",
title = "A parallelisable block {Cholesky} factorization for staircase
linear programming problems",
type = "{CORE Discussion Paper}",
number = "9260",
year = "1992",
institution = "Center of Operations Research and Econometrics, Universite
Catholique de Louvain",
address = "B--1348~Louvain--la--Neuve, Belgium"
}
@article{ipm:Lu1,
author = "C. N. Lu and M. R. Unum",
title = "Network constrained security control using an interior point
algorithm",
journal = "IEEE Transactions on Power Systems (PWRS)",
volume = "8",
year = "1993",
pages = "1068--1076"
}
@article{ipm:Lu2,
author = "X.--M. Lu",
title = "A simplex--interior point algorithm for solving linear
programming problems",
journal = "Journal on Systems Science and Mathematical Sciences",
volume = "16",
year = "1996",
pages = "211--227"
}
@article{ipm:Lu3,
author = "X.--M. Lu and Y. Ye and F. Wu",
title = "A generalized predictor--corrector linear programming
algorithm",
journal = "Mathematica Numerica Sinica",
volume = "17",
year = "1995",
pages = "271--281",
note = "(In Chinese, English summary)"
}
@techreport{ipm:Luethi1,
author = "H.--J. L{\"u}thi and B. B{\"u}eler",
title = "The analytic center quadratic cut method {(ACQCM)} for strongly
monotone variational inequality problems",
type = "{Technical Report}",
number = "",
year = "1998",
month = "March",
institution = "Institute of Operations Research, Eidgen{\"o}ssische
Technische Hochschule (ETH) Z{\"u}rich",
address = "Z{\"u}rich, The Switzerland"
}
@incollection{ipm:Luo1,
author = "J. Luo and G. L. Reijns",
title = "Parallel solution of the revised simplex method and interior point
methods for linear programming",
booktitle = "Proceedings of the 1991 International Symposium in Side,
Turkey, October 1991",
year = "1991",
pages = "723--736",
series = "Computer and Information Sciences",
volume = "VI",
publisher = "Elsevier North Holland",
address = "Amsterdam, The Netherlands"
}
@article{ipm:Luo2,
author = "Z.--Q. Luo and S. Q. Wu",
title = "A modified predictor--corrector method for linear programming",
journal = "Computational Optimization and Applications",
volume = "3",
year = "1994",
pages = "83--91"
}
@incollection{ipm:Luo3,
author = "Z.--Q. Luo and Y. Ye",
title = "A genuine quadratically convergent polynomial interior point
algorithm for linear programming",
booktitle = "Advances in Optimization and Approximation",
editor = "D.--Z. Du and J. Sun",
year = "1994",
pages = "235--246",
series = "Nonconvex Optimization and Its Applications",
volume = "1",
publisher = "Kluwer Academic Publishers",
address = "Dordrecht, The Netherlands"
}
@incollection{ipm:Luo4,
author = "Z.--Q. Luo",
title = "Convergence analysis of a primal--dual interior point algorithm
for convex quadratic programs",
booktitle = "Recent Trends in Optimization Theory and Applications",
editor = "R. P. Agarwal",
year = "1995",
pages = "255--270",
series = "World Science Series in Applied Analysis",
volume = "5",
publisher = "World Science Publishing",
address = "River Edge, NJ, USA",
}
@article{ipm:Luo5,
author = "Z.--Q. Luo",
title = "Analysis of a cutting plane method that uses weighted analytic
center and multiple cuts",
journal = "SIAM Journal on Optimization",
volume = "7",
year = "1997",
pages = "697--716",
url = "http://www.siam.org/journals/siopt/7--3/27652.html"
}
@incollection{ipm:Luo6,
author = "J. Luo and G. L. Reijns",
title = "Solving linear programming problems on transputers",
booktitle = "",
series = "Transputer Research and Applications",
volume = "5",
year = "1992",
pages = "70--80",
editor = "A. M. Veronis and Y. Paker",
publisher = "IOS Press",
address = "Amsterdam, The Netherlands"
}
@incollection{ipm:Luo7,
author = "J. Luo and G. L. Reijns",
title = "Parallel implementation of two algorithms to solve linear
programming problems",
booktitle = "Transputing in Numerical and Neural Networks
Applications",
year = "1992",
pages = "48--65",
editor = "G. L. Reijns and J. Luo",
publisher = "IOS Press",
address = "Amsterdam, The Netherlands"
}
@article{ipm:Luo8,
author = "Z.--Q. Luo and J. Sun",
title = "An analytic center based column generation algorithm for convex
quadratic feasibility problems",
journal = "SIAM Journal on Optimization",
volume = "9",
year = "1999",
pages = "217--235"
}
@article{ipm:Luo9,
author = "Z.--Q. Luo and J. F. Sturm and S. Zhang",
title = "Superlinear convergence of a symmetric primal-dual path--following
algorithm for semidefinite programming",
journal = "SIAM Journal on Optimization",
volume = "8",
year = "1998",
pages = "59--81"
}
@techreport{ipm:Luo10,
author = "Z.--Q. Luo and J. F. Sturm and S. Zhang",
title = "Duality and self--duality for conic convex programming",
type = "{Technical Report}",
number = "9620/A",
year = "1996",
institution = "Economic Institute, Erasmus University Rotterdam",
address = "NL--3000~DR~Rotterdam, THe Netherlands"
}
@techreport{ipm:Luo11,
author = "Z.--Q. Luo and C. Roos and T. Terlaky",
title = "Complexity analysis of a logarithmic barrier decomposition method
for semi--infinite linear programming",
type = "{Technical Report}",
number = "97--34",
year = "1995",
institution = "Faculty of Mathematics and Computer Science, Technical
University of Delft,",
address = "NL--2600~GA~Delft, THe Netherlands"
}
@techreport{ipm:Luo12,
author = "Z.--Q. Luo and J. F. Sturm and S. Zhang",
title = "Duality results for conic convex programming",
type = "{Technical Report}",
number = "9719/A",
year = "1997",
institution = "Economic Institute, Erasmus University Rotterdam",
address = "NL--3000~DR~Rotterdam, THe Netherlands"
}
@techreport{ipm:Luo13,
author = "Z.--Q. Luo and J. Sun",
title = "Cutting surfaces and analytic center\,: {A} polynomial algorithm
for the convex feasibility problem defined by self--concordant inequalities",
type = "{Technical Report}",
number = "",
year = "1996",
month = "June",
institution = "Economic Institute, Erasmus University Rotterdam",
address = "NL--3000~DR~Rotterdam, THe Netherlands"
}
@article{ipm:Luo14,
author = "Z.--Q. Luo and S.--Q. Wu and Y. Ye",
title = "Predictor--corrector method for nonlinear complementarity
problem",
journal = "Acta Mathematica Applicatae Sinica (English Series)",
volume = "13",
year = "1997",
pages = "321--328"
}
@article{ipm:Luss1,
author = "H. Luss",
title = "Optimization\,: {Methodolgy}, algorithms and applications",
journal = "AT~\&~T Technical Journal",
volume = "68",
year = "1989",
pages = "3--6"
}
@techreport{ipm:Lustig1,
author = "I. J. Lustig",
title = "A practical approach to {Karmarkar's} algorithm",
type = "{Technical Report}",
number = "SOL~85--5",
year = "1985",
month = "June",
institution = "Systems Optimization Laboratory, Department of Operations
Research, Stanford University",
address = "Stanford, CA~94305, USA"
}
@techreport{ipm:Lustig2,
author = "I. J. Lustig",
title = "Identifying an optimal basis of a linear program using an interior
point method",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Washington,
DC, USA}",
year = "1988",
month = "April",
institution = "School of Engineering and Applied Science, Department of
Civil Engineering and Operations Research, Princeton University",
address = "Princeton, NJ~08544, USA"
}
@techreport{ipm:Lustig3,
author = "I. J. Lustig",
title = "A generic primal--dual interior point algorithm",
type = "{Technical Report}",
number = "SOR~88--3",
year = "1988",
institution = "School of Engineering and Applied Science, Department of
Civil Engineering and Operations Research, Princeton University",
address = "Princeton, NJ~08544, USA"
}
@techreport{ipm:Lustig4,
author = "I. J. Lustig",
title = "An experimental analysis of the convergence rate of an interior
point algorithm",
type = "{Technical Report}",
number = "SOR~88--5",
year = "1988",
month = "March",
institution = "School of Engineering and Applied Science, Department of
Civil Engineering and Operations Research, Princeton University",
address = "Princeton, NJ~08544, USA"
}
@article{ipm:Lustig5,
author = "I. J. Lustig",
title = "Feasibility issues in aprimal--dual interior point method for
linear programming",
journal = "Mathematical Programming",
volume = "49",
year = "1990/91",
pages = "145--162"
}
@article{ipm:Lustig6,
author = "I. J. Lustig",
title = "An analysis of an available set of linear programming test
problems",
journal = "Computers and Operations Research",
volume = "16",
year = "1989",
pages = "173--184",
note = "Augmented version in the Technical Report SOL~87-11, Systems
Optimization Laboratory, Department of Operations Research, Stanford
University, Stanford, CA~94305, USA, 1987"
}
@article{ipm:Lustig7,
author = "I. J. Lustig and R. E. Marsten and D. F. Shanno",
title = "Computational experience with a primal--dual interior point
method for linear programming",
journal = "Linear Algebra and Its Applications",
volume = "152",
year = "1991",
pages = "191--222"
}
@techreport{ipm:Lustig8,
author = "I. J. Lustig and R. E. Marsten and D. F. Shanno",
title = "Recent computational experience with the primal--dual interior
point method for linear programming",
type = "{Technical Report}",
number = "RRR~46--89",
year = "1990",
institution = "RUTCOR Center of Operations Research, Rutgers University",
address = "New Brunswick, NJ~08903, USA",
note = "Incorrect citation, elsewhere; see Lustig et al.\,\cite{ipm:Lustig7}"
}
@article{ipm:Lustig9,
author = "I. J. Lustig and J. M. Mulvey and T. J. Carpenter",
title = "The formulation of stochastic programs for interior point methods",
journal = "Operations Research",
volume = "39",
number = "5",
year = "1991",
pages = "757--770"
}
@techreport{ipm:Lustig10,
author = "I. J. Lustig and D. F. Shanno and J. W. Gregory",
title = "The primal--dual interior point method on a {C}ray supercomputer",
type = "{Technical Report}",
number = "SOR~89--21",
year = "1989",
institution = "School of Engineering and Applied Science, Department
of Civil Engineering and Operations Research, Princeton University",
address = "Princeton, NJ~08544, USA",
note = "Same as Lustig et al.\ \cite{ipm:Lustig12}"
}
@techreport{ipm:Lustig11,
author = "I. J. Lustig and R. E. Marsten and D. F. Shanno",
title = "Recent advances in the {OB1} interior point code",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Nashville,
Tennessee, USA}",
year = "1991",
month = "May",
institution = "School of Engineering and Applied Science, Department
of Civil Engineering and Operations Research, Princeton University",
address = "Princeton, NJ~08544, USA",
note = "See Bixby et al.\ \cite{ipm:Bixby1}"
}
@incollection{ipm:Lustig12,
author = "I. J. Lustig and R. E. Marsten and D. F. Shanno",
title = "The primal--dual interior point method on the {C}ray supercomputer",
booktitle = "Large--Scale Numerical Optimization, Papers from the Workshop
held at Cornell University, Ithaca, NY, USA, October 1989",
series = "SIAM Proceedings in Applied Mathematics",
volume = "46",
year = "1990",
pages = "70--80",
editor = "T. F. Coleman and Y. Li",
publisher = "Society of Industrial and Applied Mathematics (SIAM)",
address = "Philadelphia, PA, USA"
}
@techreport{ipm:Lustig13,
author = "I. J. Lustig",
title = "An implementation of a strongly polynomial time algorithm for basis
recovery",
type = "{Technical Report}",
number = "(in preparation)",
year = "1991",
institution = "School of Engineering and Applied Science, Department
of Civil Engineering and Operations Research, Princeton University",
address = "Princeton, NJ~08544, USA"
}
@article{ipm:Lustig14,
author = "I. J. Lustig and R. E. Marsten and D. F. Shanno",
title = "On implementing {Mehrotra's} predictor--corrector interior point
method for linear programming",
journal = "SIAM Journal on Optimization",
volume = "2",
year = "1992",
pages = "435--449",
}
@techreport{ipm:Lustig15,
author = "I. J. Lustig and R. E. Marsten and D. F. Shanno",
title = "Starting and restarting the primal--dual interior point method",
type = "{Technical Report}",
number = "SOR~90--14",
year = "1990",
institution = "School of Engineering and Applied Science, Department
of Civil Engineering and Operations Research, Princeton University",
address = "Princeton, NJ~08544, USA",
note = "Also available as\,: Rutgers Research Report 61--90, Rutgers
University, New Brunswick, NJ, USA"
}
@incollection{ipm:Lustig16,
author = "I. J. Lustig and R. E. Marsten and D. F. Shanno",
title = "The interaction of algorithms and architectures for interior
point methods",
booktitle = "Advances in Optimization and Parallel Computing",
editor = "P. M. Pardalos",
year = "1992",
pages = "190--205",
publisher = "North--Holland",
address = "Amsterdam, The Netherlands"
}
@incollection{ipm:Lustig17,
author = "I. J. Lustig",
title = "Phase\,1 search directions for a primal--dual interior point method
for linear programming",
booktitle = "Mathematical Developments Arising from Linear Programming\,:
Proceedings of a Joint Summer Research Conference held at Bowdoin College,
Brunswick, Maine, USA, June/July 1988",
editor = "J. C. Lagarias and M. J. Todd",
year = "1990",
pages = "121--130",
series = "Contemporary Mathematics",
volume = "114",
publisher = "American Mathematical Society",
address = "Providence, Rhode Island, USA"
}
@article{ipm:Lustig18,
author = "I. J. Lustig and R. E. Marsten and D. F. Shanno",
title = "Interior method vs. simplex method\,: {Beyond {\tt netlib}}",
journal = "Mathematical Programming Society Committee on Algorithms (COAL)
Newsletter",
volume = "19",
year = "1991",
month = "August",
pages = "41--44"
}
@article{ipm:Lustig19,
author = "I. J. Lustig and R. E. Marsten and D. F. Shanno",
title = "Computational experience with a globally convergent primal--dual
predictor--corrector algorithm for linear programming",
journal = "Mathematical Programming",
volume = "66",
year = "1994",
pages = "123--135"
}
@article{ipm:Lustig20,
author = "I. J. Lustig and R. E. Marsten and D. F. Shanno",
title = "Interior point methods for linear programming\,: {Computational}
state of the art",
journal = "ORSA Journal on Computing",
volume = "6",
year = "1994",
pages = "1--14"
}
@article{ipm:Lustig21,
author = "I. J. Lustig and G. Y. Li",
title = "An implementation of a parallel primal--dual interior point method
for block--structured linear programs",
journal = "Computational Optimization and Applications",
volume = "1",
year = "1992",
pages = "141--161"
}
@article{ipm:Lustig22,
author = "I. J. Lustig and R. E. Marsten and D. F. Shanno",
title = "The last word on interior point methods for linear
programming---for now",
journal = "ORSA Journal on Computing",
volume = "6",
year = "1994",
pages = "35--36"
}
@article{ipm:Lustig23,
author = "I. J. Lustig and E. Rothberg",
title = "Gigaflops in linear programming",
journal = "Operations Research Letters",
volume = "18",
year = "1996",
pages = "157--165"
}
@article{ipm:Ma1,
author = "Z. Ma",
title = "On interior point algorithms for linear programming",
journal = "Advanced Mathematics (Beijing, China)",
volume = "21",
number = "3",
year = "1992",
pages = "274--288",
note = "(In Chinese\,?)"
}
@article{ipm:Maaren1,
author = "{H. van} Maaren and T. Terlaky",
title = "Inverse barriers and {CES}--functions in linear programming",
journal = "Operations Research Letters",
volume = "20",
year = "1997",
pagers = "15--20"
}
@article{ipm:Madrigal1,
author = "M. Madrigal and Q. H. Quintana",
title = "Optimal day--ahead network--constrained power system's market
operations planning using an interior--point method",
journal = "Proceedings of the 11th Canadian Conference on Electrical and
Computer Engineering",
volume = "Part\,1/2",
year = "1998",
pagers = "401--404"
}
@incollection{ipm:Mahony1,
author = "R. E. Mahony and J. B. Moore",
title = "Recursive interior--point linear programming algorithm based on
{Lie--Brockett} flows",
booktitle = "Optimization\,: Techniques and Applications, Vol.\,1
(Proceedings of the International Conference (ICOTA) held in Singapore
1992)",
editor = "K. H. Phua and C. M. Wang and W. Y. Yeong and T. Y. Leong and
H. T. Loh and K. C. Tan and F. S. Chou",
year = "1992",
pages = "21--29",
publisher = "World Science Publishing",
address = "River Edge, NJ, USA"
}
@mastersthesis{ipm:Maier1,
author = "S. Maier",
title = "{Primal--duales innere--Punkte--Verfahren mit endlicher
Genauigkeit zur L{\"o}sung linearer Programme (A primal--dual interior point
method with finite accuracy for solving linear programs)}",
year = "1989",
school = "Institut f{\"u}r Mathematik der Naturwissenschaftlichen
Fakult{\"a}t der Universit{\"a}t Augsburg",
address = "D--8900~Augsburg, Germany",
note = "(In German)"
}
@mastersthesis{ipm:Man1,
author = "H. Man",
title = "The effect of centering in an interior point algorithm",
year = "1993",
school = "Faculty of Technical Mathematics and Informatics, TU Delft",
address = "NL--2628~CD~Delft, The Netherlands"
}
@techreport{ipm:Mangasarian1,
author = "O. L. Mangasarian and R. Setiono",
title = "Serial and parallel interior proximal point methods for linear
programs",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Las Vegas, NV,
USA}",
year = "1990",
month = "May",
institution = "Department of Computer Science, University of Wisconsin",
address = "Madison, WI~53706, USA"
}
@article{ipm:Marcarenhas1,
author = "W. F. Marcarenhas",
title = "The affine scaling algorithm fails for stepsize 0.999",
journal = "SIAM Journal on Optimization",
volume = "7",
year = "1997",
pages = "34--46"
}
@techreport{ipm:Marcarenhas2,
author = "W. F. Marcarenhas",
title = "New proofs of cobvergence for the dual affine scaling algorithm",
type = "{Research Report}",
numberr = "69/93",
year = "1993",
institution = "Universidade Estadural de Campinas",
address = "Campinas~S. P., Brazil"
}
@mastersthesis{ipm:Margraff1,
author = "G. Margraff",
title = "{Analyse und Modifikation des Karmarkar Verfahrens (Analysis
and modification of Karmarkar's algorithm)}",
year = "1987",
school = "Universit{\"a}t Trier, Fachbereich~IV",
address = "D--5500~Trier, Germany",
note = "(In German)"
}
@article{ipm:Maros1,
author = "I. Maros and C. M{\'e}sz{\'a}ros",
title = "The role of the augmented system in interior point methods",
journal = "European Journal of Operational Research",
volume = "107",
year = "1998",
pages = "720--736"
}
@techreport{ipm:Marsten1,
author = "R. E. Marsten and M. J. Saltzman",
title = "A dual--affine interior point algorithm for {LP's} with bounded
variables",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Denver, CO,
USA}",
year = "1988",
month = "October",
institution = "Department of MIS, University of Arizona",
address = "Tucson, AZ~85721, USA",
note = "See Marsten et al.\ \cite{ipm:Marsten5}"
}
@techreport{ipm:Marsten2,
author = "R. E. Marsten and D. F. Shanno",
title = "On implementing {Karmarkar's} algorithm",
type = "{Technical Report}",
year = "1985",
institution = "Department of MIS, University of Arizona",
address = "Tucson, AZ~85721, USA",
note = "Same as Shanno and Marsten \cite{ipm:Shanno5}"
}
@techreport{ipm:Marsten3,
author = "R. E. Marsten and D. F. Shanno",
title = "Recent computational experience with the primal--dual interior
point method",
type = "{Talk held at the First International Symposium on Interior Point
Methods for Linear Programming\,: Theory and Practice, in Scheveningen,
The Netherlands}",
year = "1990",
month = "January",
institution = "School of Industrial and Systems Engineering, Georgia
Technology Institute",
address = "Atlanta, GA~30322--0205, USA"
}
@techreport{ipm:Marsten4,
author = "R. E. Marsten and M. J. Saltzman and J. W. Gregory and
T. G. Hewitt and D. F. Shanno",
title = "The dual affine interior point method for linear programming
implementation on {Cray} supercomputers",
type = "{Talk held at the CORS/ORSA/TIMS Joint National Meeting in
Vancouver, British Columbia, Canada}",
year = "1989",
month = "May",
institution = "School of Industrial and Systems Engineering, Georgia
Technology Institute",
address = "Atlanta, GA~30322--0205, USA"
}
@article{ipm:Marsten5,
author = "R. E. Marsten and M. J. Saltzman and D. F. Shanno and
J. F. Ballintijn and G. S. Pierce",
title = "Implementation of a dual affine interior point algorithm for
linear programming",
journal = "ORSA Journal on Computing",
volume = "1",
year = "1989",
pages = "287--297"
}
@article{ipm:Marsten6,
author = "R. E. Marsten and R. Subramaniam and M. J. Saltzman and
I. J. Lustig and D. F. Shanno",
title = "Interior point methods for linear programming\,: {Just call Newton,
Lagrange, and Fiacco and McCormick\,!}",
journal = "Interfaces",
volume = "20",
number = "4",
year = "1990",
pages = "105--116"
}
@techreport{ipm:Marsten7,
author = "R. E. Marsten",
title = "The {IMP System} on personal computers",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in St.~Louis,
USA}",
year = "1987",
month = "October",
institution = "Department of MIS, University of Arizona",
address = "Tucson, AZ~85721, USA"
}
@techreport{ipm:Marsten8,
author = "R. E. Marsten",
title = "Interior point methods for large scale linear programming",
type = "{Talk held at the Second International Conference on Industrial
and Applied Mathematics (ICIAM~'91), Washington, DC, USA}",
year = "1991",
month = "July",
institution = "School of Industrial and Systems Engineering, Georgia
Technology Institute",
address = "Atlanta, GA~30322--0205, USA"
}
@techreport{ipm:Marsten9,
author = "R. E. Marsten and D. F. Shanno",
title = "Interior point methods for linear programming\,: {Ready} for
production use",
type = "{Workshop at the ORSA/TIMS Joint National Meeting in Philadelphia,
PA, USA}",
year = "1990",
month = "October",
institution = "School of Industrial and System Engineering, Georgia
Institute of Technology",
address = "Atlanta, GA~30322, USA"
}
@techreport{ipm:Marsten10,
author = "R. E. Marsten and M. J. Saltzman and D. F. Shanno",
title = "A dual affine interior point algorithm for {LP} with bounded
varaibles",
type = "{Talk held at the XIII International Symposium on Mathematical
Programming in Tokyo, Japan}",
year = "1988",
month = "August",
institution = "School of Industrial and System Engineering, Georgia
Institute of Technology",
address = "Atlanta, GA~30322, USA",
note = "See Marsten et al.\ \cite{ipm:Marsten5}"
}
@incollection{ipm:Marsten11,
author = "R. E Marsten and D. F. Shanno and E. M. Simantiraki",
title = "Interior point methods for linear and nonlinear programming",
booktitle = "Numerical Analysis\,: The State--of--the--Art",
editor = "I. A. Duff and A. Watson",
year = "1996",
pages = "",
publisher = "Institute of Mathematics and its Applications",
address = "London, Great Britain"
}
@article{ipm:Martinez1,
author = "H. J. Mart{\'i}nez",
title = "On motivating the {Mitchell--Todd} modification of {Karmarkar's}
algorithm for {LP} problems with free variables",
journal = "Journal of Optimization Theory and Applications",
volume = "84",
year = "1995",
pages = "675--679"
}
@article{ipm:Martinez2,
author = "H. J. Mart{\'i}nez and Z. Parada and R. A. Tapia",
title = "On the charactarization of {Q}--superlinear convergence of
quasi--{Newton} interior--point methods for nonlinear programming",
journal = "Boletin de la Sociedad Matematica Mexicana",
volume = "1",
year = "1995",
pages = "137--148"
}
@techreport{ipm:Martinhon1,
author = "C. Martinhon and C. C. Gonzaga",
title = "A unified analysis of affine and projective primal potential
reduction algorithms for linear programming",
type = "{Talk held at the TIMS/SOBRAPO Joint International Meeting in
Rio de Janeiro, Brazil}",
year = "1991",
month = "July",
institution = "Department of Systems Engineering and Computer Science,
COPPE Federal University of Rio de Janeiro",
address = "21941~Rio~de~Janeiro, RJ, Brazil"
}
@techreport{ipm:Marxen1,
author = "A. Marxen",
title = "Primal barrier methods for linear programming",
type = "{Technical Report}",
number = "SOL~89--6",
year = "1989",
month = "June",
institution = "Systems Optimization Laboratory, Department of Operations
Research, Stanford University",
address = "Stanford, CA~94305, USA"
}
@phdthesis{ipm:Marxen2,
author = "A. Marxen",
title = "Primal barrier methods for linear programming",
year = "1989",
school = "Systems Optimization Laboratory, Department of Operations
Research, Stanford University",
address = "Stanford, CA~94305, USA"
}
@article{ipm:Mascarenhas1,
author = "W. F. Mascarenhas",
title = "The affine scaling algorithm fails for stepsize 0.999",
journal = "SIAM Journal on Optimization",
volume = "7",
year = "1997",
pages = "34--46"
}
@article{ipm:Masuzawa1,
author = "K. Masuzawa and S. Mizuno and M. Mori",
title = "A polynomial time interior point algorithm for minimum cost
flow problems",
journal = "Journal of the Operations Research Society of Japan",
volume = "33",
year = "1990",
pages = "157--167"
}
@article{ipm:Matstoms1,
author = "P. Matstoms",
title = "Sparse linear least squares problems in optimization",
journal = "Computational Optimization and Applications",
volume = "7",
year = "1997",
pages = "89--110"
}
@techreport{ipm:McCormick1,
author = "G. P. McCormick",
title = "Miscellaneous results concerning {Karmarkar's} projective method
and {SUMT}",
type = "{Manuscript}",
number = "GWU/IMSE/Serial T--519/87",
year = "1987",
institution = "Institute for Management Science and Engineering, The George
Washington University",
address = "Washington, D.C.~20052, USA"
}
@techreport{ipm:McCormick2,
author = "S. T. McCormick and S. F. Chang",
title = "Making $AA{^T}$ sparser for interior--point algorithms\,:
{Complexity} and heuristics",
type = "{Technical Report}",
year = "1990",
institution = "Faculty of Commerce and Business Administration, University
of British Columbia",
address = "Vancouver, BC~V6T\,1Y8, Canada",
note = "In preparation"
}
@article{ipm:McCormick3,
author = "G. P. McCormick",
title = "The projective {SUMT} method for convex programming",
journal = "Mathematics of Operations Research",
volume = "14",
year = "1989",
pages = "203--223"
}
@incollection{ipm:McCormick4,
author = "G. P. McCormick",
title = "Resolving the {Shell Dual} with a nonlinear primal--dual algorithm",
booktitle = "Advances in Optimization and Parallel Computing",
editor = "P. M. Pardalos",
year = "1992",
pages = "233--246",
publisher = "North Holland",
address = "Amsterdam, The Netherlands"
}
@techreport{ipm:McCormick5,
author = "G. P. McCormick and A. Sofer",
title = "The {big--M} method for interior point feasibility in convex
optimization",
type = "{Technical Report}",
number = "GWU/IMSE/Serial T--538/90",
year = "1990",
institution = "Institute for Management Science and Engineering, The George
Washington University",
address = "Washington, D.C.~20052, USA"
}
@article{ipm:McDiarmid1,
author = "C. McDiarmid",
title = "On the improvement per iteration in {Karmarkar's} method for linear
programming",
journal = "Mathematical Programming",
volume = "46",
year = "1990",
pages = "299--320"
}
@techreport{ipm:McDiarmid2,
author = "C. McDiarmid",
title = "Why {Karmarkar's} method is fast~?",
type = "{Talk held at the EURO/TIMS Joint International Conference on
Operational Research in Paris, France}",
year = "1988",
month = "July",
institution = "Institute of Economics and Statistics, St. Cross Building,
Oxford University",
address = "Oxford~OX1~3UL, United Kingdom"
}
@article{ipm:McLinden1,
author = "L. McLinden",
title = "The analogue of {Moreau's} proximation theorem, with
applications to the nonlinear complementarity problem",
journal = "Pacific Journal of Mathematics",
volume = "88",
year = "1980",
pages = "101--161"
}
@article{ipm:McQueen1,
author = "J. F. McQueen",
title = "Symposium on {Karmarkar's} algorithm and related algorithms for
linear programming",
journal = "Bulletin of the Institute of Mathematics and Its Applications",
volume = "21",
year = "1985",
pages = "154--155"
}
@article{ipm:McShane1,
author = "K. A. McShane and C. L. Monma and D. F. Shanno",
title = "An implementation of a primal--dual interior point method for
linear programming",
journal = "ORSA Journal on Computing",
volume = "1",
year = "1989",
pages = "70--83"
}
@techreport{ipm:McShane2,
author = "K. A. McShane",
title = "A superlinearly convergent ${O(\sqrt{n}L)}$ iteration primal--dual
linear programming algorithm",
type = "Manuscript",
year = "1991",
institution = "U. S. Government",
address = "2537~Villanova Drive, Vienna, Virginia, USA"
}
@phdthesis{ipm:McShane3,
author = "K. A. McShane",
title = "Primal--dual interior point algorithms for linear programming and
the linear comlementarity problem",
year = "1992",
month = "August",
school = "School of Operations Research, Cornell University",
address = "Ithaca, NY~14853--3801, USA"
}
@article{ipm:McShane4,
author = "K. A. McShane",
title = "Superlinearly convergent ${O(\sqrt{n}L)}$--iteration
interior--point algorithms for linear programming and the monotone linear
complementary problem ",
journal = "SIAM Journal on Optimization",
volume = "4",
year = "1994",
pages = "247--261"
}
@article{ipm:McShane5,
author = "K. A. McShane",
title = "On the superlinear convergence of an $O(n^{3}L)$ interior point
algorithm for monotone {LCP}",
journal = "SIAM Journal on Optimization",
volume = "6",
year = "1996",
pages = "978--993"
}
@inproceedings{ipm:Medina1,
author = "J. Medina and V. H. Quintana and A. J. Conejo and F. P. Thoden",
title = "A comparison of interior--point codes for medium--term
hydro--thermal coordination",
booktitle = "Proceedings of the 20th International Conference on Power
Industry Computer Applications",
year = "1996",
pages = "224--231",
publisher = "IEEE Society Press",
address = "New York, NY, USA",
}
@techreport{ipm:Megiddo1,
author = "N. Megiddo",
title = "A variation on {Karmarkar's} algorithm",
type = "{Preliminary Report}",
year = "1984",
institution = "IBM San Jose Research Laboratory",
address = "San Jose, CA~95193, USA"
}
@book{ipm:Megiddo2,
author = "N. Megiddo",
title = "New Approaches to Linear Programming",
year = "1986",
series = "Algorithmica",
volume = "1(4)",
publisher = "Springer Verlag",
address = "Berlin, Germany"
}
@article{ipm:Megiddo3,
author = "N. Megiddo",
title = "Introduction\,: {New} approaches to linear programming",
journal = "Algorithmica",
volume = "1",
number = "4",
year = "1986",
pages = "387--394"
}
@article{ipm:Megiddo4,
author = "N. Megiddo",
title = "Linear programming\,(1986)",
journal = "Annual Review of Computer Science",
volume = "2",
year = "1987",
pages = "119--145"
}
@techreport{ipm:Megiddo5,
author = "N. Megiddo",
title = "Report on the conference\,: {Progress} in mathematical programming",
type = "{Technical Report}",
number = "RJ~5923",
year = "1987",
month = "October",
institution = "IBM~T.~J.~Watson Research Center",
address = "Yorktown Heights, NY~10598, USA"
}
@incollection{ipm:Megiddo6,
author = "N. Megiddo",
title = "On the complexity of linear programming",
booktitle = "Advances in Economic Theory---The Fifth World Congress",
series = "Econometric Society Monographs",
volume = "12",
publisher = "Cambridge University Press",
address = "Cambridge, United Kingdom",
editor = "T. F. Bewley",
year = "1987",
pages = "225--258"
}
@incollection{ipm:Megiddo7,
author = "N. Megiddo",
title = "On solving the linear programming problem approximately",
booktitle = "Mathematical Developments Arising from Linear Programming\,:
Proceedings of a Joint Summer Research Conference held at Bowdoin College,
Brunswick, Maine, USA, June/July 1988",
editor = "J. C. Lagarias and M. J. Todd",
year = "1990",
pages = "35--50",
series = "Contemporary Mathematics",
volume = "114",
publisher = "American Mathematical Society",
address = "Providence, Rhode Island, USA"
}
@techreport{ipm:Megiddo8,
author = "N. Megiddo",
title = "Switching from a primal--dual {N}ewton algorithm to a primal--dual
(interior) simplex algorithm",
type = "{Technical Report}",
number = "RJ~6327",
year = "1988",
institution = "IBM Almaden Research Center",
address = "San Jose, CA~95120--6099, USA"
}
@article{ipm:Megiddo9,
author = "N. Megiddo",
title = "On finding primal-- and dual--optimal bases",
journal = "ORSA Journal on Computing",
volume = "3",
year = "1991",
pages = "63--65"
}
@book{ipm:Megiddo10,
author = "N. Megiddo",
title = "Progress in Mathematical Programming\,: Interior Point and
Related Methods",
publisher = "Springer Verlag",
address = "New York",
year = "1989"
}
@incollection{ipm:Megiddo11,
author = "N. Megiddo",
title = "Pathways to the optimal set in linear programming",
booktitle = "Progress in Mathematical Programming\,: Interior Point and
Related Methods",
editor = "N. Megiddo",
year = "1989",
pages = "131--158",
publisher = "Springer Verlag",
address = "New York",
note = "Identical version in\,: {\em Proceedings of the 6th Mathematical
Programming Symposium of Japan, Nagoya, Japan, 1--35, 1986}"
}
@article{ipm:Megiddo12,
author = "N. Megiddo and M. Shub",
title = "Boundary behavior of interior point algorithms in linear
programming",
journal = "Mathematics of Operations Research",
volume = "14",
year = "1989",
pages = "97--146"
}
@techreport{ipm:Megiddo13,
author = "N. Megiddo",
title = "A note on {Karmarkar's} projective transformation",
type = "{Unpublished Manuscript}",
year = "1988",
month = "December",
institution = "IBM Almaden Research Center",
address = "San Jose, CA~95120--6099, USA"
}
@article{ipm:Megiddo14,
author = "N. Megiddo and S. Mizuno and T. Tsuchiya",
title = "A modified layered--step interior--point algorithm for linear
programming",
journal = "Mathematical Programming",
volume = "82",
year = "1998",
pages = "339--355"
}
@techreport{ipm:Mehrotra1,
author = "S. Mehrotra",
title = "A self--correcting version of {Karmarkar's} algorithm",
type = "{Technical Report}",
year = "1986",
institution = "Department of Industrial Engineering and Operations
Research",
address = "Columbia University, New York, NY~10027, USA"
}
@phdthesis{ipm:Mehrotra2,
author = "S. Mehrotra",
title = "Variants of {Karmarkar's} algorithm\,: {Theoretical}
complexity and practical implementation",
year = "1987",
school = "Department of Industrial Engineering and Operations Reseach,
Columbia University",
address = "New York, NY~10027, USA"
}
@techreport{ipm:Mehrotra3,
author = "S. Mehrotra",
title = "Implementation of some interior point methods for linear
programming\,: {Recent} developments",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in St.~Louis,
USA}",
year = "1987",
month = "October",
institution = "Department of Industrial Engineering and Management
Science, Northwestern University",
address = "Evanston, IL~60208, USA"
}
@techreport{ipm:Mehrotra4,
author = "S. Mehrotra",
title = "On implementation of interior point methods for linear
programming\,: {Karmarkar's} preconditioners",
type = "{Talk held at the CORS/ORSA/TIMS Joint National Meeting in
Vancouver, British Columbia, Canada}",
year = "1989",
month = "May",
institution = "Department of Industrial Engineering and Management
Science, Northwestern University",
address = "Evanston, IL~60208, USA"
}
@article{ipm:Mehrotra5,
author = "S. Mehrotra",
title = "Implementation of affine scaling methods\,: {Approximate}
solutions of systems of linear equations using preconditioned
conjugate gradient methods",
journal = "ORSA Journal on Computing",
volume = "4",
year = "1992",
pages = "103--118"
}
@techreport{ipm:Mehrotra6,
author = "S. Mehrotra",
title = "Implementation of affine scaling methods\,: {Towards} faster
implementations with complete {Cholesky} factor in use",
type = "{Technical Report}",
number = "89--15",
year = "1989",
month = "October",
institution = "Department of Industrial Engineering and Management
Science, Northwestern University",
address = "Evanston, IL~60208, USA"
}
@article{ipm:Mehrotra7,
author = "S. Mehrotra",
title = "On finding a vertex solution using interior point methods",
journal = "Linear Algebra and Its Applications",
volume = "152",
year = "1991",
pages = "233--253"
}
@techreport{ipm:Mehrotra8,
author = "S. Mehrotra",
title = "On an implementation of the primal--dual predictor--corrector
algorithms",
type = "{Talk held at the Second Asilomar Workshop on Progress in
Mathematical Programming, Asilomar, CA, USA}",
year = "1990",
month = "February",
institution = "Department of Industrial Engineering and Management
Science, Northwestern University",
address = "Evanston, IL~60208, USA"
}
@techreport{ipm:Mehrotra9,
author = "S. Mehrotra",
title = "Implementations of affine scaling methods\,: {Speeding} up
the computation",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Las
Vegas, NV, USA}",
year = "1990",
month = "May",
institution = "Department of Industrial Engineering and Management
Science, Northwestern University",
address = "Evanston, IL~60208, USA"
}
@article{ipm:Mehrotra10,
author = "S. Mehrotra and J. Sun",
title = "On the implementation of a (primal--dual) interior point method",
journal = "SIAM Journal on Optimization",
volume = "2",
number = "4",
year = "1992",
pages = "575--601"
}
@article{ipm:Mehrotra11,
author = "S. Mehrotra and J. Sun",
title = "A method of analytic centers for quadratically constrained convex
quadratic programs",
journal = "SIAM Journal on Numerical Analysis",
volume = "28",
number = "2",
year = "1991",
pages = "529--544"
}
@incollection{ipm:Mehrotra12,
author = "S. Mehrotra and J. Sun",
title = "An interior point algorithm for solving smooth convex programs
based on {Newton's} method",
booktitle = "Mathematical Developments Arising from Linear Programming\,:
Proceedings of a Joint Summer Research Conference held at Bowdoin College,
Brunswick, Maine, USA, June/July 1988",
editor = "J. C. Lagarias and M. J. Todd",
year = "1990",
pages = "265--284",
series = "Contemporary Mathematics",
volume = "114",
publisher = "American Mathematical Society",
address = "Providence, Rhode Island, USA"
}
@article{ipm:Mehrotra13,
author = "S. Mehrotra and J. Sun",
title = "On computing the center of a quadratically constrained set",
journal = "Mathematical Programming",
volume = "50",
year = "1991",
pages = "81--89"
}
@article{ipm:Mehrotra14,
author = "S. Mehrotra and J. Sun",
title = "An algorithm for convex quadratic programming that requires
${O(n^{3.5}L)}$ arithmetic operations",
journal = "Mathematics of Operations Research",
volume = "15",
year = "1990",
pages = "342--363"
}
@techreport{ipm:Mehrotra15,
author = "S. Mehrotra and J. Sun",
title = "Path--following methods for convex programming",
type = "{Talk held at the SIAM Annual Meeting in Chicago, IL, USA}",
year = "1990",
month = "July",
institution = "Department of Industrial Engineering and Management
Science, Northwestern University",
address = "Evanston, IL~60208, USA"
}
@techreport{ipm:Mehrotra16,
author = "S. Mehrotra",
title = "Generalized prediction--corrector methods for solving linear
programs",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Nashville,
Tennessee, USA}",
year = "1991",
month = "May",
institution = "Department of Industrial Engineering and Management
Science, Northwestern University",
address = "Evanston, IL~60208, USA"
}
@techreport{ipm:Mehrotra17,
author = "S. Mehrotra",
title = "Higher--order methods for solving linear programs",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Nashville,
Tennessee, USA}",
year = "1991",
month = "May",
institution = "Department of Industrial Engineering and Management
Science, Northwestern University",
address = "Evanston, IL~60208, USA"
}
@techreport{ipm:Mehrotra18,
author = "S. Mehrotra",
title = "Handling free variables in interior methods",
type = "{Technical Report}",
number = "91--06",
year = "1991",
month = "March",
institution = "Department of Industrial Engineering and Management
Science, Northwestern University",
address = "Evanston, IL~60208, USA"
}
@techreport{ipm:Mehrotra19,
author = "S. Mehrotra",
title = "Finite termination and superlinear convergence in primal--dual
methods",
type = "{Technical Report}",
number = "91--13",
year = "1991",
month = "July",
institution = "Department of Industrial Engineering and Management
Science, Northwestern University",
address = "Evanston, IL~60208, USA"
}
@techreport{ipm:Mehrotra20,
author = "S. Mehrotra",
title = "Higher order methods and their performance",
type = "{Technical Report}",
number = "TR~90--16R1",
year = "1990",
institution = "Department of Industrial Engineering and Management
Science, Northwestern University",
address = "Evanston, IL~60208, USA",
note = "Revised July 1991"
}
@techreport{ipm:Mehrotra21,
author = "S. Mehrotra and Y. Ye",
title = "On finding the optimal facet of linear programs",
type = "{Technical Report}",
number = "TR~91--10",
year = "1991",
institution = "Department of Industrial Engineering and Management
Sciences, Northwestern University",
address = "Evanston, IL~60208, USA",
note = "See also Mehrotra and Ye\,\cite{ipm:Mehrotra28}"
}
@article{ipm:Mehrotra22,
author = "S. Mehrotra",
title = "Deferred rank--one updates in ${O(n^{3}L)}$ interior point
algorithm",
journal = "Journal of the Operations Research Society of Japan",
volume = "35",
year = "1992",
pages = "345--352"
}
@techreport{ipm:Mehrotra23,
author = "S. Mehrotra and R. Fourer",
title = "Solving symmetric indefinite systems in interior point methods",
type = "{Talk held at the Fourth SIAM Conference on Optimization in Chicago,
IL, USA}",
year = "1992",
month = "May",
institution = "Department of Industrial Engineering and Management
Sciences, Northwestern University",
address = "Evanston, IL~60208, USA"
}
@techreport{ipm:Mehrotra24,
author = "S. Mehrotra",
title = "Finite termination in interior--point methods",
type = "{Talk held at the Fourth SIAM Conference on Optimization in
Chicago, IL, USA}",
year = "1992",
month = "May",
institution = "Department of Industrial Engineering and Management
Sciences, Northwestern University",
address = "Evanston, IL~60208, USA"
}
@article{ipm:Mehrotra25,
author = "S. Mehrotra",
title = "Quadratic convergence in a primal--dual method",
journal = "Mathematics of Operations Research",
volume = "18",
year = "1993",
pages = "741--751"
}
@techreport{ipm:Mehrotra26,
author = "S. Mehrotra and R. D. C. Monteiro",
title = "Parametric and range analysis for interior point methods",
type = "{Technical Report}",
year = "1992",
month = "April",
institution = "Department of Systems and Industrial Engineering,
University of Arizona",
address = "Tucson, AZ~85721, USA"
}
@article{ipm:Mehrotra27,
author = "S. Mehrotra",
title = "On the implementation of a primal--dual interior point method",
journal = "SIAM Journal on Optimization",
volume = "2",
number = "4",
year = "1992",
pages = "575--601"
}
@article{ipm:Mehrotra28,
author = "S. Mehrotra and Y. Ye",
title = "Finding an interior point in the optimal face of linear programs",
journal = "Mathematical Programming",
volume = "62",
year = "1993",
pages = "497--515",
note = "See also Mehrotra and Ye\,\cite{ipm:Mehrotra21}"
}
@article{ipm:Mehrotra29,
author = "S. Mehrotra and R. A. Stubbs",
title = "Predictor--corrector methods for a class of linear complementarity
problems",
journal = "SIAM Journal on Optimization",
volume = "4",
year = "1994",
pages = "441--453"
}
@incollection{ipm:Mehrotra30,
author = "S. Mehrotra and J.--S. Wang",
title = "Conjugate gradient based implementation of interior point
methods for network flow problems",
booktitle = "Linear and Nonlinear Conjugate Gradient--Related Methods
(Proceedings of the AMS--IMS--SIAM Joint Summer Research Conference,
Seattle, WA, USA, July 9--13, 1995)",
editor = "L. Adams and J. L. Nazareth",
year = "1996",
pages = "124--142",
publisher = "SIAM Publications",
address = "Philadelphia, PA, USA"
}
@article{ipm:Mehrotra31,
author = "S. Mehrotra",
title = "Asymptotic convergence in a generalized predictor--corrector
method",
journal = "Mathematical Programming",
volume = "74",
year = "1996",
pages = "11--28"
}
@techreport{ipm:Meketon1,
author = "M. S. Meketon and R. J. Vanderbei",
title = "Degeneracy issues in the affine scaling algorithm",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in St.~Louis,
USA}",
year = "1987",
month = "October",
institution = "AT~\&~T Bell Laboratories",
address = "Holmdel, NJ~07733, USA"
}
@incollection{ipm:Meketon2,
author = "M. S. Meketon",
title = "Optimization in simulation\,: {A} survey of recent results",
booktitle = "Proceedings of the Winter Simulation Conference held in
Atlanta, GA~30322, USA,December 1987",
editor = "A. Thesen and H. Grant and W. D. Kelton",
year = "1987",
pages = "58--67",
publisher = "ACM Press",
address = "New York, NY, USA"
}
@techreport{ipm:Meketon3,
author = "M. S. Meketon",
title = "Least absolute value regression",
type = "{Working Paper}",
year = "1985",
institution = "AT~\&~T Bell Laboratories",
address = "Murray Hill, NJ~07974, USA"
}
@article{ipm:Mello1,
author = "{J. C. O.} Mello and A. C. G. Melo and S. Granville",
title = "Simultaneous transfer capability assessment by combining interior
point methods and {Monte Carlo} simulation",
journal = "IEEE Transaction on Power Systems",
volume = "12",
year = "1997",
pages = "736--742"
}
@techreport{ipm:Melman1,
author = "A. Melman and R. Polyak",
title = "Newton modified barrier function complexity for quadratic
programming problems",
type = "{Talk held at the Fourth SIAM Conference on Optimization in Chicago,
IL, USA}",
year = "1992",
month = "May",
institution = "California Institute of Technology",
address = "USA"
}
@article{ipm:Melman2,
author = "A. Melman",
title = "A new linesearch method for quadratically constrained convex
programming",
journal = "Operations Research Letters",
volume = "16",
year = "1994",
pages = "67--77"
}
@article{ipm:Melman3,
author = "A. Melman and R. Polyak",
title = "The {Newton} modified barrier method for {QP} problems",
journal = "Annals of Operations Research",
volume = "62",
year = "1996",
pages = "465--519"
}
@article{ipm:Melman4,
author = "A. Melman",
title = "A linesearch procedure in barrier methods for some convex
programming problems",
journal = "SIAM Journal on Optimization",
volume = "6",
year = "1996",
pages = "283--298"
}
@techreport{ipm:Mendel1,
author = "M. Mendel",
title = "{Primal--duale pfadorientierte Innere--{\"A}u{\ss}ere--Punkte--%
Verfahren zur L{\"o}sung linearer Optimierungsaufgaben (Primal--dual
path--following interior--exterior--point methods for solving linear
programming problems)}",
type = "{Habilitationthesis}",
year = "1996",
institution = "Fachbereich Mathematik, Bergische Universit{\"a}t--
Gesamthochschule Wuppertal",
address = "Gauss--str. 20, D--42097~Wuppertal, Germany",
note = "(In German)"
}
@techreport{ipm:Mennicken1,
author = "J. Mennicken",
title = "Implementation of a first order central path following algorithm
for solving large linear programs",
type = "{Technical Report}",
number = "202",
year = "1990",
institution = "Institut f{\"u}r Angewandte Mathematik und Statistik,
Universit{\"a}t W{\"u}rzburg",
address = "Am Hubland, D--97074~W{\"u}rzburg, Germany"
}
@phdthesis{ipm:Merle1,
author = "{O. du} Merle",
title = "Mise en oeuvre et developpements de la methode de plans coupants
bases sur les centres analytique ({Interior} points and cutting planes\,:
{Development} and implementation of methods for convex optimization and
large scale structured linear programming)",
year = "1995",
school = "Department of Management Studies, University of Geneva",
address = "CH--1211 Geneva, Switzerland",
note = "(In French)"
}
@article{ipm:Mesbahi1,
author = "M. Mesbahi and G. P. Papavassilopoulos",
title = "{LMIs}, interior point methods, complexity theory, and robust
analysis",
journal = "Proceedings of the 35th IEEE conference on Decision and Control",
volume = "4/4",
year = "1996",
pages = "4625--4630"
}
@article{ipm:Meszaros1,
author = "C. M{\'e}sz{\'a}ros",
title = "On the modifications of the affine scaling algorithm for
linear programming",
journal = "Alkamazott Matematikai Lapok",
volume = "17",
year = "1993",
pages = "185--194",
note = "(In Hungarian, English summary)"
}
@techreport{ipm:Meszaros2,
author = "C. M{\'e}sz{\'a}ros",
title = "The {''inexact''} minimum local fill--in ordering algorithm",
type = "{Working Paper}",
number = "WP 95--7",
year = "1995",
month = "November",
institution = "Computer and Automation Research Institute, Department
of Operations Research and Decision Systems, Hungarian Academy of
Sciences",
address = "H--1518~Budapest, Hungary",
note = "Submitted to {\em{ACM Transactions on Mathematical Software}}"
}
@article{ipm:Meszaros3,
author = "C. M{\'e}sz{\'a}ros",
title = "The augmented system variant of {IPM}s in two--stage stochastic
linear programming computation",
journal = "European Journal of Operational Research",
volume = "101",
year = "1997",
pages = "317--327"
}
@article{ipm:Meszaros4,
author = "C. M{\'e}sz{\'a}ros",
title = "Fast {Cholesky} factorization of interior point methods of linear
programming",
journal = "Computers and Mathematics with Applications",
volume = "31",
year = "1996",
pages = "49--54"
}
@article{ipm:Meszaros5,
author = "C. M{\'e}sz{\'a}ros",
title = "On free variables in interior point methods",
journal = "Optimization Methods and Software",
volume = "9",
year = "1998",
pages = "121--139"
}
@techreport{ipm:Meszaros6,
author = "C. M{\'e}sz{\'a}ros",
title = "Steplengths in infeasible primal--dual interior point algorithms
for convex quadratic programming",
type = "{Technical Report}",
number = "DOC~97/7",
year = "1997",
month = "July",
institution = "Imperial College",
address = "London, United Kingdom"
}
@phdthesis{ipm:Meszaros7,
author = "C. M{\'e}sz{\'a}ros",
title = "The efficient implementation of interior point methods for
linear programming and their applications",
year = "1996",
school = "E{\"o}tv{\"o}s Lor{\'a}nd University of Sciences",
address = "Budapest, Hungary"
}
@techreport{ipm:Meszaros8,
author = "C. M{\'e}sz{\'a}ros",
title = "The separable and non--separable formulations of convex
quadratic problems in interior point methods",
type = "{Working Paper}",
number = "WP\,98--3",
year = "1998",
month = "April",
institution = "Laboratory of Operations Research and Decision Systems,
Hungarian Academy of Sciences",
address = "Budapest, Hungary"
}
@techreport{ipm:Meszaros9,
author = "C. M{\'e}sz{\'a}ros",
title = "On aproperty of the {Cholesky} factorization and its consequences
in interior point methods",
type = "{Working Paper}",
number = "WP\,98--7",
year = "1998",
month = "April",
institution = "Laboratory of Operations Research and Decision Systems,
Hungarian Academy of Sciences",
address = "Budapest, Hungary"
}
@techreport{ipm:Meszaros10,
author = "C. M{\'e}sz{\'a}ros",
title = "On the sparsity issues of interior point methods for quadratic
programming",
type = "{Working Paper}",
number = "WP\,98--4",
year = "1998",
institution = "Laboratory of Operations Research and Decision Systems,
Hungarian Academy of Sciences",
address = "Budapest, Hungary"
}
@techreport{ipm:Meyer1,
author = "R. R. Meyer and G. L. Schultz",
title = "Structured interior point methods for multicommodity flows",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Philadelphia,
PA, USA}",
year = "1990",
month = "October",
institution = "Department of Computer Science, University of Wisconsin",
address = "Madison, WI~53706, USA"
}
@incollection{ipm:Miagen1,
author = "S. Miagen and T. Miyazaki",
title = "Implementation and numerical experiments on an
interior--point algorithm for linear programming",
booktitle = "Proceedings of the InfoJapan~'90\ : Information Technology
Harmonizing with Society, Tokyo, Japan, Oct.\ 1990",
volume = "1",
year = "1990",
pages = "19--25",
publisher = "North Holland",
address = "Amsterdam, The Netherlands"
}
@article{ipm:Miao1,
author = "J. Miao",
title = "Two infeasible interior--point predictor--corrector algorithms
for linear programming",
journal = "SIAM Journal on OPtimization",
volume = "6",
year = "1996",
pages = "587--599"
}
@techreport{ipm:Miao2,
author = "J. Miao",
title = "A quadratically convergent {$O((1 + \kappa)\sqrt{n}L)$}--
iteration algorithm for the {$P_{*}(\kappa)$}--matrix linear
complementarity problem",
type = "{Research Report}",
number = "RRR~93--93",
year = "1993",
institution = "RUTCOR\,--\,Rutgers Center for Operations Research,
Rutgers University",
address = "Busch Campus, New Brunswick, NJ~08903, USA"
}
@techreport{ipm:Minoux1,
author = "M. Minoux",
title = "New suggested implementation of {Karmarkar's} algorithm",
type = "Cahier",
number = "71",
year = "1986",
month = "May",
institution = "Laboratoire de Analyse et Modelisation de Systemes pour
l'Aide a la Decision (LAMSADE), Universite de Paris Dauphine",
address = "F--75775~Paris~Cedex~16, France"
}
@article{ipm:Minoux2,
author = "M. Minoux",
title = "Probabilistic bounds on one step objective/potential function
improvement in {Karmarkar's} algorithm",
journal = "R.A.I.R.O Recherche Operationnelle/Operations Research",
volume = "28",
year = "1994",
pages = "329--355"
}
@techreport{ipm:Minoux3,
author = "M. Minoux",
title = "Towards a probabilistic analysis of {Karmarkar's} algorithm",
type = "Cahier",
year = "1990",
institution = "Laboratoire de Analyse et Modelisation de Systemes pour
l'Aide a la Decision (LAMSADE), Universite de Paris Dauphine",
address = "F--75775~Paris~Cedex~16, France"
}
@phdthesis{ipm:Mitchell1,
author = "J. E. Mitchell",
title = "Karmarkar's algorithm and combinatorial optimization problems",
year = "1988",
school = "School of Operations Research and Industrial Engineering, Cornell
University",
address = "Ithaca, NY~14853--7501, USA"
}
@incollection{ipm:Mitchell2,
author = "J. E. Mitchell and M. J. Todd",
title = "On the relationship between the search directions in the affine and
projective variants of {Karmarkar's} linear programming algorithm",
booktitle = "Contributions to Operations Research and Economics\,: The
Twentieth Anniversary of CORE",
editor = "B. Cornet and H. Tulkens",
year = "1989",
pages = "237--250",
publisher = "M.I.T. Press",
address = "Cambridge, MA, USA"
}
@techreport{ipm:Mitchell3,
author = "J. E. Mitchell and M. J. Todd",
title = "Solving linear ordering problems using {Karmarkar's} algorithm",
type = "{Technical Report}",
year = "1988",
institution = "School of Operations Research and Industrial Engineering,
Cornell University",
address = "Ithaca, NY~14853--7501, USA",
note = "Incorrect citation, elsewhere; part of Mitchell
\cite{ipm:Mitchell1}, and of Mitchell and Todd \cite{ipm:Mitchell6}"
}
@article{ipm:Mitchell4,
author = "J. E. Mitchell and M. J. Todd",
title = "A variant of {Karmarkar's} linear programming algorithm for
problems with some unrestricted variables",
journal = "SIAM Journal on Matrix Analysis and Applications",
volume = "10",
year = "1989",
pages = "30--38"
}
@techreport{ipm:Mitchell5,
author = "J. E. Mitchell and M. J. Todd",
title = "Solving combinatorial optimization problems using {Karmarkar's}
algorithm, {Part\,I\,: Theory}",
type = "{RPI Technical Report}",
number = "172",
year = "1989",
month = "January",
institution = "Department of Mathematical Sciences, Rensselaer
Polytechnic Institute",
address = "Troy, NY~12180--3590, USA"
}
@techreport{ipm:Mitchell6,
author = "J. E. Mitchell and M. J. Todd",
title = "Solving combinatorial optimization problems using {Karmarkar's}
algorithm, {Part\,II\,: Computational} results",
type = "{RPI Technical Report}",
number = "173",
year = "1989",
month = "January",
institution = "Department of Mathematical Sciences, Rensselaer
Polytechnic Institute",
address = "Troy, NY~12180--3590, USA"
}
@techreport{ipm:Mitchell7,
author = "J. E. Mitchell and M. J. Todd",
title = "Solving perfect matching problems using {Karmarkar's} algorithm",
type = "{RPI Technical Report}",
number = "174",
year = "1989",
month = "August",
institution = "Department of Mathematical Sciences, Rensselaer
Polytechnic Institute",
address = "Troy, NY~12180--3590, USA",
note = "See Mitchell and Todd \cite{ipm:Mitchell10}, too"
}
@article{ipm:Mitchell8,
author = "J. E. Mitchell",
title = "An interior point column generation method for linear
programming using shifted barriers",
journal = "SIAM Journal on Optimization",
volume = "4",
year = "1994",
pages = "423--440"
}
@article{ipm:Mitchell9,
author = "J. E. Mitchell and M. J. Todd",
title = "Solving combinatorial optimization problems using {Karmarkar's}
algorithm",
journal = "Mathematical Programming",
volume = "56",
year = "1992",
pages = "245--284",
note = "Combination and shortening of Mitchell and Todd
\cite{ipm:Mitchell5,ipm:Mitchell6}"
}
@incollection{ipm:Mitchell10,
author = "J. E. Mitchell and M. J. Todd",
title = "Solving perfect matching problems using {Karmarkar's} algorithm",
booktitle = "Mathematical Developments Arising from Linear Programming\,:
Proceedings of a Joint Summer Research Conference held at Bowdoin College,
Brunswick, Maine, USA, June/July 1988",
editor = "J. C. Lagarias and M. J. Todd",
year = "1990",
pages = "309--318",
series = "Contemporary Mathematics",
volume = "114",
publisher = "American Mathematical Society",
address = "Providence, Rhode Island, USA"
}
@article{ipm:Mitchell11,
author = "J. E. Mitchell",
title = "Updating lower bounds when using {Karmarkar's} projective
algorithm for linear programming",
journal = "Journal of Optimization Theory and Applications",
volume = "78",
year = "1993",
pages = "127--142"
}
@techreport{ipm:Mitchell12,
author = "J. E. Mitchell and M. J. Todd",
title = "Two variants of {Karmarkar's} linear programming algorithm for
problems with some unrestricted variables",
type = "{Technical Report}",
number = "741",
year = "1987",
institution = "School of Operations Research and Industrial Engineering,
Cornell University",
address = "Ithaca, NY~14853--7501, USA",
note = "Incorporated in Mitchell and Todd \cite{ipm:Mitchell4}"
}
@techreport{ipm:Mitchell13,
author = "J. E. Mitchell",
title = "An interior point column generation method for linear programming
using shifted barriers",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Anaheim, CA,
USA}",
year = "1991",
month = "November",
institution = "Rensselaer Polytechnic Institute, Department of
Mathematical Sciences",
address = "Troy, NY~12180--3590, USA"
}
@article{ipm:Mitchell14,
author = "J. E. Mitchell and B. Borchers",
title = "A primal--dual interior point cutting plane method for
the linear ordering problem",
journal = "Mathematical Programming Society Committee on Algorithms
(COAL) Bulletin",
volume = "21",
year = "1992",
pages = "13--18"
}
@article{ipm:Mitchell15,
author = "J. E. Mitchell and B. Borchers",
title = "Solving real--world linear ordering problems using a
primal--dual interior point cutting plane method",
journal = "Annals of Operatiomns Research",
volume = "62",
year = "1996",
pages = "253--276"
}
@incollection{ipm:Mitchell16,
author = "J. E. Mitchell",
title = "Interior point methods for integer programming",
booktitle = "{Advances in Linear and Integer Programming}",
editor = "J. E. Beasley",
year = "1996",
pages = "223--248",
series = "Oxford Lecture Series in Mathematics and its Applications",
volume = "4",
publisher = "Oxford Science Publications, Oxford University Press",
address = "Oxford, Great Britain"
}
@techreport{ipm:Mitchell17,
author = "J. E. Mitchell and S. Ramaswamy",
title = "A long--step, cutting plane algorithm for linear and convex
programming",
type = "{Technical Report}",
number = "37--93--387",
year = "1993",
month = "August",
institution = "Department of Mathematical Sciences, Rensselaer
Polytechnic Institute",
address = "Troy, NY~12180--3590, USA",
note = "Title before August 1994 revision\,: {An extension of
Atkinson and Vaidya's algorithm that uses central trajectory}"
}
@article{ipm:Mitchell18,
author = "J. E. Mitchell",
title = "Fixing variables and generating classical cutting planes when
using an interior branch and cut method to solve integer programming
problems",
journal = "European Journal of Operational Research",
volume = "97",
year = "1997",
pages = "139--148"
}
@incollection{ipm:Mitchell19,
author = "J. E. Mitchell",
title = "Interior point methods for combinatorial optimization",
booktitle = "Interior Point Methods of Mathematical Programming",
editor = "T. Terlaky",
year = "1996",
pages = "417--466",
series = "Applied Optimization",
volume = "5",
publisher = "Kluwer Academic Publishers",
address = "Dordrecht, The Netherlands",
note = "See also Mitchell, Pardalos and Resende\,\cite{ipm:Mitchell23}"
}
@techreport{ipm:Mitchell20,
author = "J. E. Mitchell",
title = "Computational experience with an interior point cutting plane
algorithm",
type = "{Technical Report}",
number = "",
year = "1997",
month = "February",
institution = "Department of Mathematical Sciences, Rensselaer
Polytechnic Institute",
address = "Troy, NY~12180--3590, USA",
note = "Revised April 1997"
}
@techreport{ipm:Mitchell21,
author = "J. E. Mitchell",
title = "An interior point cutting plane algorithm for {Ising}spin glass
problems",
type = "{Technical Report}",
number = "",
year = "1997",
month = "July",
institution = "Department of Mathematical Sciences, Rensselaer
Polytechnic Institute",
address = "Troy, NY~12180--3590, USA",
note = "Revised April 1997"
}
@techreport{ipm:Mitchell22,
author = "J. E. Mitchell and B. Borchers",
title = "Solving linear ordering problems with a combined interior
point/simplex cutting plane algorithm",
type = "{Technical Report}",
number = "",
year = "1997",
month = "September",
institution = "Department of Mathematical Sciences, Rensselaer
Polytechnic Institute",
address = "Troy, NY~12180--3590, USA"
}
@incollection{ipm:Mitchell23,
author = "J. E. Mitchell and P. M. Pardalos and M. G. C. Resende",
title = "Interior point methods for combinatorial optimization",
booktitle = "Handbook of Combinatorial Optimization",
editor = "D.--Z. Du and P. M. Pardalos",
year = "1998",
pages = "189--298",
publisher = "Kluwer Academic Publishers",
address = "Dordrecht, The Netherlands",
note = "See also Mitchell\,\cite{ipm:Mitchell19}"
}
@incollection{ipm:Mitra1,
author = "G. Mitra and M. Tamiz and J. Yadegar",
title = "A hybrid algorithm for linear programming",
booktitle = "Simulation and Optimization of Large Systems",
editor = "A. J. Osiadacz",
year = "1988",
pages = "143--159",
series = "The Institute of Mathematics and Its Applications Conference
Series",
volume = "13",
publisher = "Clarendon Press",
address = "Oxford, England"
}
@article{ipm:Mitra2,
author = "G. Mitra and M. Tamiz and J. Yadegar",
title = "Experimental investigation of an interior search method within a
simplex framework",
journal = "Communications of the ACM",
volume = "31",
number = "12",
year = "1988",
pages = "1474--1482"
}
@book{ipm:Mitra3,
author = "G. Mitra and R. Levkovitz",
title = "{Interior Point Methods for Linear Programming Optimization\,:
Theory and Practice}",
year = "1997",
publisher = "John Wiley\,\&\,Sons",
address = "New York, USA"
}
@article{ipm:Mizuno1,
author = "S. Mizuno",
title = "An ${O(n^{3}L)}$ algorithm using a sequence for linear
complementarity problems",
journal = "Journal of the Operations Research Society of Japan",
volume = "33",
year = "1990",
pages = "66--75"
}
@article{ipm:Mizuno2,
author = "S. Mizuno",
title = "A rank--one updating interior algorithm for linear programming",
journal = "Arabian Journal for Science and Engineering",
volume = "15",
number = "4",
year = "1990",
pages = "671--677"
}
@article{ipm:Mizuno3,
author = "S. Mizuno and K. Masuzawa",
title = "Polynomial time interior point algorithms for transportation
problems",
journal = "Journal of the Operations Research Society of Japan",
volume = "32",
year = "1989",
pages = "371--382"
}
@techreport{ipm:Mizuno4,
author = "S. Mizuno and M. J. Todd and Y. Ye",
title = "Anticipated behavior of path--following algorithms for linear
programming",
type = "{Technical Report}",
number = "878",
year = "1989",
institution = "School of Operations Research and Industrial Engineering,
Cornell University",
address = "Ithaca, NY~14853--3801, USA",
note = "See Mizuno et al.\ \cite{ipm:Mizuno8}"
}
@techreport{ipm:Mizuno5,
author = "S. Mizuno and M. J. Todd and Y. Ye",
title = "Anticipated behavior of long--step algorithms for linear
programming",
type = "{Technical Report}",
number = "882",
year = "1990",
institution = "School of Operations Research and Industrial Engineering,
Cornell University",
address = "Ithaca, NY~14853--3801, USA",
note = "Also available as {\em Technical Report 24, Department of
Management Science and Engineering, Tokyo Institute of Technology,
Oh--Okayama, Meguro--ku, Tokyo~152, Japan, 1989} and {\em Technical
Report 89--23, Department of Management Science, University of Iowa,
Iowa City, IA~52242, USA, 1989}. See also Mizuno et al.\,
\cite{ipm:Mizuno8}"
}
@techreport{ipm:Mizuno6,
author = "S. Mizuno and M. J. Todd and Y. Ye",
title = "Anticipated behavior of interior point algorithms for linear
programming",
type = "{Technical Report}",
year = "1990",
institution = "School of Operations Research and Industrial Engineering,
Cornell University",
address = "Ithaca, NY~14853--3801, USA",
note = "Incorrect citation, elsewhere"
}
@article{ipm:Mizuno7,
author = "S. Mizuno and A. Yoshise and T. Kikuchi",
title = "Practical polynomial time algorithms for linear complementarity
problems",
journal = "Journal of the Operations Research Society of Japan",
volume = "32",
year = "1989",
pages = "75--92"
}
@article{ipm:Mizuno8,
author = "S. Mizuno and M. J. Todd and Y. Ye",
title = "On adaptive--step primal--dual interior--point algorithms for
linear programming",
journal = "Mathematics of Operations Research",
volume = "18",
year = "1993",
pages = "964--981",
note = "Revised and combined version of Mizuno et al.\,
\cite{ipm:Mizuno4,ipm:Mizuno5}"
}
@article{ipm:Mizuno9,
author = "S. Mizuno",
title = "A new polynomial time method for a linear complementarity
problem",
journal = "Mathematical Programming",
volume = "56",
year = "1992",
pages = "31--43"
}
@article{ipm:Mizuno10,
author = "S. Mizuno",
title = "{$O(n^{\rho}L)$} iteration {$O(n^{3}L)$} potential reduction
algorithms for linear programming",
journal = "Linear Algebra and Its Applications",
volume = "152",
year = "1991",
pages = "155--168"
}
@techreport{ipm:Mizuno11,
author = "S. Mizuno and M. J. Todd",
title = "An {$O(n^{3}L)$} long step path following algorithm for a linear
complementarity problem",
type = "{Technical Report}",
year = "1989",
institution = "School of Operations Research and Industrial Engineering,
Cornell University",
address = "Ithaca, NY~14853--3801, USA",
note = "Same as Mizuno and Todd \cite{ipm:Mizuno12}"
}
@article{ipm:Mizuno12,
author = "S. Mizuno and M. J. Todd",
title = "An {$O(n^{3}L)$} adaptive path following algorithm for a
linear complementarity problem",
journal = "Mathematical Programming",
volume = "52",
year = "1991",
pages = "587--595"
}
@article{ipm:Mizuno13,
author = "S. Mizuno and R. Saigal and J. B. Orlin",
title = "Determination of optimal vertices from feasible solution
in unimodular programming",
journal = "Mathematical Programming",
volume = "59",
year = "1993",
pages = "23--31"
}
@article{ipm:Mizuno14,
author = "S. Mizuno and A. Nagasawa",
title = "Strict monotonicity in {Todd's} low--complexity algorithm for
linear programming",
journal = "Operations Research Letters",
volume = "12",
year = "1992",
pages = "59--64"
}
@article{ipm:Mizuno15,
author = "S. Mizuno and A. Nagasawa",
title = "A primal--dual affine scaling potential reduction algorithm for
linear programming",
journal = "Mathematical Programming",
volume = "62",
year = "1993",
pages = "119--131"
}
@techreport{ipm:Mizuno16,
author = "S. Mizuno",
title = "Polynomiality of the {Kojima--Megiddo--Mizuno} infeasible
interior point algorithm for linear programming",
type = "{Technical Report}",
number = "1006",
year = "1992",
month = "May",
institution = "School of Operations Research and Industrial Engineering,
Cornell University",
address = "Ithaca, NY~14853--3801, USA",
note = "See also Mizuno \cite{ipm:Mizuno21}"
}
@techreport{ipm:Mizuno17,
author = "S. Mizuno",
title = "A primal--dual interior point method for linear programming",
type = "{Research Reports on Information Sciences, Ser.\,B\,: Operations
Research}",
number = "B--252",
year = "1992",
month = "January",
institution = "Department of Information Sciences, Tokyo Institute of
Technology",
address = "Oh--Okayama, Meguro--ku, Tokyo~152, Japan",
note = "(In Japanese)"
}
@article{ipm:Mizuno18,
author = "S. Mizuno and M. J. Todd and L. Tun{\c c}el",
title = "Monotonicity of primal and dual objective values in primal--dual
interior--point algorithms",
journal = "SIAM Journal on Optimization",
volume = "4",
year = "1994",
pages = "613--625"
}
@article{ipm:Mizuno19,
author = "S. Mizuno and M. Kojima and M. J. Todd",
title = "Infeasible--interior--point primal--dual potential--reduction
algorithms for linear programming",
journal = "SIAM Journal on Optimization",
volume = "5",
year = "1995",
pages = "52--67"
}
@article{ipm:Mizuno20,
author = "S. Mizuno and M. J. Todd and Y. Ye",
title = "A surface of analytic centers and infeasible--interior--point
algorithms for linear programming",
journal = "Mathematics of Operations Research",
volume = "20",
year = "1995",
pages = "135--162"
}
@article{ipm:Mizuno21,
author = "S. Mizuno",
title = "Polynomiality of infeasible interior--point algorithms for linear
programming",
journal = "Mathematical Programming",
volume = "67",
year = "1994",
pages = "109--119",
note = "See also Mizuno \cite{ipm:Mizuno16}"
}
@article{ipm:Mizuno22,
author = "S. Mizuno",
title = "A predictor--corrector infeasible--interior--point algorithm for
linear programming",
journal = "Operations Research Letters",
volume = "16",
year = "1994",
pages = "61--66"
}
@article{ipm:Mizuno23,
author = "S. Mizuno and F. Jarre",
title = "An infeasible--interior--point algorithm using projections onto a
convex set",
journal = "Annals of Operations Research",
volume = "62",
year = "1993",
pages = "59--80",
note = "See also Mizuno and Jarre \cite{ipm:Jarre18}"
}
@article{ipm:Mizuno24,
author = "S. Mizuno",
title = "Research in interior--point methods",
journal = "Proceedings of the Institute of Statistical Mathematics (Tokyo,
Japan)",
volume = "42",
year = "1994",
pages = "103--109",
note = "(In Japanese)"
}
@article{ipm:Mizuno25,
author = "S. Mizuno",
title = "A superlinearly convergent infeasible--interior--point algorithm
for geometrical {LCPs} without a strictly complementarity condition",
journal = "Mathematics of Operations Research",
volume = "21",
year = "1996",
pages = "382--400"
}
@article{ipm:Mizuno26,
author = "S. Mizuno and F. Jarre and J. Stoer",
title = "A unified approach to infeasible--interior--point algorithms
via geometrical linear complementarity problems",
journal = "Applied Mathematics\,\&\,Optimization",
volume = "33",
year = "1996",
pages = "315--341"
}
@incollection{ipm:Mizuno27,
author = "S. Mizuno",
title = "Infeasible--interior--point algorithms",
booktitle = "Interior Point Methods of Mathematical Programming",
editor = "T. Terlaky",
year = "1996",
pages = "159--187",
series = "Applied Optimization",
volume = "5",
publisher = "Kluer Academic Publishers",
address = "Dordrecht, The Netherlands"
}
@article{ipm:Mizuno28,
author = "S. Mizuno and N. Megiddo and T. Tsuchiya",
title = "A linear programming instance with many crossover events",
journal = "Journal of Complexity",
volume = "12",
year = "1996",
pages = "474--479"
}
@article{ipm:Mizuno29,
author = "S. Mizuno and F. Jarre",
title = "Global and polynomial--time convergence of an
infeasible--interior--point algorithm using inexact computation",
journal = "S{\= u}rikaisekikenky{\= u}sho K{\= o}ky{\= u}roku",
volume = "981",
year = "1997",
pages = "22--35",
note = "See also Mizuno and Jarre\,\cite{ipm:Mizuno31}"
}
@techreport{ipm:Mizuno30,
author = "S. Mizuno and M. J. Todd",
title = "On two homogeneous self--dual systems for linear programming
and its extensions",
type = "{Research Memorandum}",
number = "687",
year = "1998",
institution = "The Institute of Statistical Mathematics",
address = "4--6--7 Minami--Azabu, Minato--Ku, Tokyo~106, Japan",
note = "Also issued as {Technical Report No.\,1213, School of
Operations Research and Industrial Engineering, Cornell University,
Ithaca, NY~14853--3801, USA}"
}
@article{ipm:Mizuno31,
author = "S. Mizuno and F. Jarre",
title = "Global and polynomial--time convergence of an
infeasible--interior--point algorithm using inexact computation",
journal = "Mathematical Programming",
volume = "84",
year = "1999",
pages = "39--53",
note = "See also Mizuno and Jarre\,\cite{ipm:Mizuno29}"
}
@article{ipm:Momoh1,
author = "J. A. Momoh and S. X. Guo and E. C. Ogbuobiri and R. Adapa",
title = "The quadratic interior point method solving power system
optimization problems",
journal = "IEEE Transactions on Power Systems (PWRS)",
volume = "9",
year = "1994",
pages = "1327--1336",
note = "See also\,: {\em IEEE International Conference on Systems, Man
and Cybernetics 1\,(1992), 1096--}"
}
@article{ipm:Momoh2,
author = "J. A. Momoh and G. F. Brown and R. Adapa",
title = "Rule based support for partioning networks for optimal power
flows",
journal = "Proceedings of the Twenty--Sixth Annual North American
Power Symposium (Manhattan, KS, USA, September 1994)",
volume = "1",
year = "1994",
pages = "376--381"
}
@article{ipm:Momoh3,
author = "J. A. Momoh and S. X. Guo",
title = "An enhanced quadratic interior point method to solve power
system {VAr} planning",
journal = "Proceedings of the 1993 North American Power Symposium
(Washington, D.C., USA, October 1993)",
year = "1994",
pages = "215--221"
}
@article{ipm:Momoh4,
author = "J. A. Momoh and G. F. Brown and R. Adapa",
title = "Evaluation of interior point methods and their application
to power systems economic dispatch",
journal = "Proceedings of the 1993 North American Power Symposium
(Washington, D.C., USA, October 1993)",
year = "1994",
pages = "116--123"
}
@article{ipm:Momoh5,
author = "J. A. Momoh and G. F. Brown and R. Adapa",
title = "{VAr} planning using partitioned power system networks",
journal = "Proceedings of the 36th Midwest Symposium on Circuits and
Systems (Detroit, MI, USA, August 1993)",
volume = "1",
year = "1994",
pages = "372--376"
}
@article{ipm:Momoh6,
author = "J. A. Momoh and P. J. Lusaka and R. Adapa and E. C. Ogbuobiri",
title = "Heurstic--based algorithms for enhanced interior point based
{OPF}",
journal = "Expert System Application to Power Systems (Proceedings of
the January 1993 Melbourne Conference)",
volume = "IV",
year = "1994",
pages = "686--696"
}
@article{ipm:Momoh7,
author = "J. A. Momoh and R. F. Austin and R. Adapa and E. C. Ogbuobiri",
title = "Application of interior point method to economic dispatch",
journal = "Proceedings of the IEEE International Conference on Systems,
Man and Cybernetics (Chicago, IL, USA, October 1992)",
volume = "2",
year = "1993",
pages = "1096--1101"
}
@techreport{ipm:Monma1,
author = "C. L. Monma",
title = "Recent breakthroughs in linear programming methods",
type = "{Internal Memorandum}",
year = "1987",
institution = "Bell Communications Research",
address = "Morristown, NJ~07960, USA"
}
@article{ipm:Monma2,
author = "C. L. Monma",
title = "Successful implementations of interior algorithms",
journal = "SIAM News",
volume = "22",
number = "2",
year = "1989",
month = "March",
pages = "14--16"
}
@article{ipm:Monma3,
author = "C. L. Monma and A. J. Morton",
title = "Computational experience with the dual affine variant of
{Karmarkar's} method for linear programming",
journal = "Operations Research Letters",
volume = "6",
year = "1987",
pages = "261--267"
}
@article{ipm:Monteiro1,
author = "R. D. C. Monteiro",
title = "On the continuous trajectories for a potential reduction algorithm
for linear programming",
journal = "Mathematics of Operations Research",
volume = "17",
year = "1992",
pages = "225--253"
}
@techreport{ipm:Monteiro2,
author = "R. D. C. Monteiro and I. Adler",
title = "An ${O(n^{3}L)}$ primal--dual interior point algorithm for linear
programming",
type = "{Technical Report}",
number = "ORC~87--4",
year = "1987",
institution = "Department of Industrial Engineering and Operations
Research, University of California",
address = "Berkeley, CA~94720, USA"
}
@article{ipm:Monteiro3,
author = "R. D. C. Monteiro and I. Adler",
title = "Interior path following primal--dual algorithms\,:
{Part\,I\,: Linear} programming",
journal = "Mathematical Programming",
volume = "44",
year = "1989",
pages = "27--41"
}
@article{ipm:Monteiro4,
author = "R. D. C. Monteiro and I. Adler",
title = "Interior path following primal--dual algorithms\,:
{Part\,II\,: Convex} quadratic programming",
journal = "Mathematical Programming",
volume = "44",
year = "1989",
pages = "43--66"
}
@article{ipm:Monteiro5,
author = "R. D. C. Monteiro and I. Adler",
title = "An extension of {Karmarkar--type} algorithm to a class of convex
separable programming problems with global linear rate of convergence",
journal = "Mathematics of Operations Research",
volume = "15",
year = "1990",
pages = "408--422"
}
@techreport{ipm:Monteiro6,
author = "R. D. C. Monteiro and I. Adler",
title = "A polynomial primal--dual affine algorithm for {LP}",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Denver, CO,
USA}",
year = "1988",
month = "October",
institution = "Engineering Systems Research Center, University of
California",
address = "Berkeley, CA~94720, USA"
}
@article{ipm:Monteiro7,
author = "R. D. C. Monteiro and I. Adler and M. G. C. Resende",
title = "A polynomial--time primal--dual affine scaling algorithm for
linear and convex quadratic programming and its power series extension",
journal = "Mathematics of Operations Research",
volume = "15",
year = "1990",
pages = "191--214"
}
@techreport{ipm:Monteiro8,
author = "R. D. C. Monteiro",
title = "An implementation of range analysis for {LP} problems solved via
interior point methods",
type = "{Talk held at the TIMS/SOBRAPO Joint International Meeting in Rio de
Janeiro, Brazil}",
year = "1991",
month = "July",
institution = "Department of Systems and Industrial Engineering,
University of Arizona",
address = "Tucson, AZ~85721, USA"
}
@incollection{ipm:Monteiro9,
author = "R. D. C. Monteiro",
title = "Convergence and boundary behavior of the projective scaling
trajectories for linear programming",
booktitle = "Mathematical Developments Arising from Linear Programming\,:
Proceedings of a Joint Summer Research Conference held at Bowdoin
College, Brunswick, Maine, USA, June/July 1988",
editor = "J. C. Lagarias and M. J. Todd",
year = "1990",
pages = "213--229",
series = "Contemporary Mathematics",
volume = "114",
publisher = "American Mathematical Society",
address = "Providence, Rhode Island, USA"
}
@article{ipm:Monteiro10,
author = "R. D. C. Monteiro",
title = "Convergence and boundary behavior of the projective scaling
trajectories for linear programming",
journal = "Mathematics of Operations Research",
volume = "16",
number = "4",
year = "1991",
pages = "842--858"
}
@article{ipm:Monteiro11,
author = "R. D. C. Monteiro",
title = "A globally convergent primal--dual interior point algorithm for
convex programming",
journal = "Mathematical Programmingh",
volume = "64",
year = "1994",
pages = "123--147"
}
@techreport{ipm:Monteiro12,
author = "R. D. C. Monteiro and S. J. Wright",
title = "A globally and superlinearly convergent potential reduction
interior point method for convex programming",
type = "{Technical Report}",
number = "92--13",
year = "1992",
month = "July",
institution = "Department of Systems and Industrial Engineering,
University of Arizona",
address = "Tucson, AZ~85721, USA",
note ="Also available as {\em Technical Report MSC--P316--0792,
Mathematical and Computer Science Division, Argonne National
Laboratory, Argonne, IL~60439, USA, July 1992}"
}
@techreport{ipm:Monteiro13,
author = "R. D. C. Monteiro",
title = "The global convergence of a class of primal potential
reduction algorithms for convex programming",
type = "{Technical Report}",
year = "1991",
month = "August",
institution = "Department of Systems and Industrial Engineering,
University of Arizona",
address = "Tucson, AZ~85721, USA"
}
@article{ipm:Monteiro14,
author = "R. D. C. Monteiro and T. Tsuchiya",
title = "Limiting behavior of the derivatives of certain trajectories
associated with a monotone horizontal linear complementarity problem",
journal = "Mathematics of Operations Research",
volume = "21",
year = "1996",
pages = "793--814"
}
@article{ipm:Monteiro15,
author = "R. D. C. Monteiro and J.--S. Pang and T. Wang",
title = "A positive algorithm for the nonlinear complementarity problem",
journal = "SIAM Journal on Optimization",
volume = "5",
year = "1995",
pages = "129--148"
}
@article{ipm:Monteiro16,
author = "R. D. C. Monteiro and S. J. Wright",
title = "Local convergence of interior--point algorithms for degenerate
monotone {LCP}",
journal = "Computational Optimization and Applications",
volume = "3",
year = "1994",
pages = "131--155"
}
@article{ipm:Monteiro17,
author = "R. D. C. Monteiro and S. J. Wright",
title = "Superlinear primal--dual affine scaling algorithms for {LCP}",
journal = "Mathematical Programming",
volume = "69",
year = "1995",
pages = "311--333"
}
@article{ipm:Monteiro18,
author = "R. D. C. Monteiro and S. J. Wright",
title = "A superlinear infeasible--interior--point affine scaling algorithm
for {LCP}",
journal = "SIAM Journal on Optimization",
volume = "6",
year = "1996",
pages = "1--18"
}
@article{ipm:Monteiro19,
author = "R. D. C. Monteiro and T. Tsuchiya and Y. Wang",
title = "A simplified global convergence proof of the affine scaling
algorithm",
journal = "Annals of Operations Research",
volume = "46/47",
year = "1993",
pages = "443--482"
}
@article{ipm:Monteiro20,
author = "R. D. C. Monteiro and S. J. Wright",
title = "Interior--point algorithms for degenerate linear complementarity
problems",
journal = "Computational Optimization and Applications",
volume = "3",
year = "1994",
pages = "131--155"
}
@article{ipm:Monteiro21,
author = "R. D. C. Monteiro and T. Tsuchiya",
title = "Global convergence of the affine scaling method for convex
quadratic programming",
journal = "SIAM Journal on Optimization",
volume = "8",
year = "1998",
pages = "26--58"
}
@article{ipm:Monteiro22,
author = "R. D. C. Monteiro and F. Zhou",
title = "On superlinear convergence of infeasible--interior--point
algorithms for linearly constrained convex programs",
journal = "Computational Optimization and Applications",
volume = "8",
year = "1998",
pages = "245--262"
}
@article{ipm:Monteiro23,
author = "R. D. C. Monteiro and Y. Wang",
title = "Trust region affine scaling algorithms for linearly
constrained convex and concave programs",
journal = "Mathematical Programming",
volume = "80",
year = "1998",
pages = "283--313"
}
@article{ipm:Monteiro24,
author = "R. D. C. Monteiro",
title = "Primal--dual algorithms for semidefinite programming",
journal = "SIAM Journal on Optimization",
volume = "7",
year = "1997",
pages = "663--678",
note = "Former technical report title (Oct. 1995)\,: Primal--dual
path--following algorithms for semidefinite programming",
url = "http://www.siam.org/journals/siopt/7--3/29305.html"
}
@article{ipm:Monteiro25,
author = "R. D. C. Monteiro and S. Mehrotra",
title = "A general parametric analysis approach and its implication
to sensitivity analysis in interior point methods",
journal = "Mathematical Programming",
volume = "72",
year = "1996",
pages = "65--82"
}
@article{ipm:Monteiro26,
author = "R. D. C. Monteiro and J.--S. Pang",
title = "Properties of an interior--point mapping for mixed
complementarity problems",
journal = "Mathematics of Operations Research",
volume = "21",
year = "1996",
pages = "629--654"
}
@article{ipm:Monteiro27,
author = "R. D. C. Monteiro and F. Zhou",
title = "On the existence and convergence of the central path for
convex programming and some duality results",
journal = "Computational Optimization and Applications",
volume = "10",
year = "1998",
pages = "51--77"
}
@techreport{ipm:Monteiro28,
author = "R. D. C. Monteiro and P. R. Zanj{\'a}como",
title = "Implementation of primal--dual methods for semidefinite
programming based on {Monteiro} and {Tsuchiya} {Newton} directions and
their variants",
type = "{Technical Report}",
year = "1997",
month = "July",
institution = "School of Industrial and Systems Engineering, Georgia
Technology Institute",
address = "Atlanta, GA~30322--0205, USA"
}
@techreport{ipm:Monteiro29,
author = "R. D. C. Monteiro and J.--S. Pang",
title = "A potential reduction {Newton} method for constrained equations",
type = "{Technical Report}",
year = "1997",
month = "March",
institution = "School of Industrial and Systems Engineering, Georgia
Technology Institute",
address = "Atlanta, GA~30322--0205, USA"
}
@techreport{ipm:Monteiro30,
author = "R. D. C. Monteiro and T. Tsuchiya",
title = "Polynomial convergence of a new family of primal--dual
algorithms for semidefinite programming",
type = "{Research Memorandum}",
number = "627",
year = "1996",
institution = "The Institute of Statistical Mathematics",
address = "4--6--7 Minami--Azabu, Minato--Ku, Tokyo~106, Japan"
}
@article{ipm:Monteiro31,
author = "R. D. C. Monteiro and T. Tsuchiya",
title = "Polynomiality of primal--dual algorithms for semidefinite linear
complementarity problems based on the {Kojima--Shindoh--Hara} family of
directions",
journal = "S{\= u}rikaisekikenky{\= u}sho K{\= o}ky{\= u}roku",
volume = "1004",
year = "1997",
pages = "138--152",
note = "See also Monteiro and Tsuchiya\,\cite{ipm:Monteiro38}"
}
@article{ipm:Monteiro32,
author = "R. D. C. Monteiro",
title = "Polynomial convergence of primal--dual algorithms for
semidefinite programming based on {Monteiro and Zhang} family of
directions",
journal = "SIAM Journal on Optimization",
volume = "8",
year = "1998",
pages = "797--812"
}
@article{ipm:Monteiro33,
author = "R. D. C. Monteiro and P. R. Zanj{\'a}como",
title = "A note on the existence of the {Alizadeh--Haeberly--Overton}
direction for semidefinite programming",
journal = "Mathematical Programming",
volume = "78",
year = "1997",
pages = "393--396"
}
@article{ipm:Monteiro34,
author = "R. D. C. Monteiro and Y. Zhang",
title = "A unified analysis for a class of path--following primal--dual
interior--point algorithms for semidefinite programming",
journal = "Mathematical Programming",
volume = "81",
year = "1998",
pages = "281--299"
}
@article{ipm:Monteiro35,
author = "R. D. C. Monteiro and J.--S. Pang",
title = "On two interior--point mappings for nonlinear semidefinite
complementarity problems",
journal = "Mathematics of Operations Research",
volume = "23",
year = "1998",
pages = "39--60"
}
@techreport{ipm:Monteiro36,
author = "R. D. C. Monteiro and P. R. Zanj{\'a}como",
title = "General interior--point maps and existence of weighted paths
for nonlinear semidefinite complementarity problems",
type = "{Technical Report}",
year = "1998",
month = "April",
institution = "School of Industrial and Systems Engineering, Georgia
Technology Institute",
address = "Atlanta, GA~30322--0205, USA"
}
@techreport{ipm:Monteiro37,
author = "R. D. C. Monteiro and T. Tsuchiya",
title = "Polynomial convergence of primal--dual algorithms for the
second--order cone program based on the {MZ}--family of directions",
type = "{Technical Report}",
year = "1998",
month = "May",
institution = "School of Industrial and Systems Engineering, Georgia
Technology Institute",
address = "Atlanta, GA~30338, USA"
}
@article{ipm:Monteiro38,
author = "R. D. C. Monteiro and T. Tsuchiya",
title = "Polynomiality of primal--dual algorithms for semidefinite linear
complementarity problems based on the {Kojima--Shindoh--Hara} family of
directions",
journal = "Mathematical Programming",
volume = "84",
year = "1999",
pages = "39--53",
note = "See also Monteiro and Tsuchiya\,\cite{ipm:Monteiro31}"
}
@techreport{ipm:Morales1,
author = "J. L. {Morales--P{\'e}rez} and R. W. H. Sargent",
title = "Numerical experiments with an interior point method for large scale
convex quadratic programming",
type = "{Talk held at the Fourth SIAM Conference on Optimization in Chicago,
IL, USA}",
year = "1992",
month = "May",
institution = "Centre for Process Systems Engineering, Imperial College",
address = "London, United Kingdom",
note ="See also Morales--P{\'e}rez and Sargent \cite{ipm:Morales2}"
}
@article{ipm:Morales2,
author = "J. L. {Morales--P{\'e}rez} and R. W. H. Sargent",
title = "On the implementation and performance of an interior point method
for large sparse convex quadratic programming",
journal = "Optimization Methods and Software",
volume = "1",
year = "1992",
pages = "153--168"
}
@book{ipm:More1,
author = "J. J. Mor{\'e} and S. J. Wright",
title = "{Optimization Software Guide}",
year = "1993",
month = "November",
series = "Frontiers in Applied Mathematics",
volume = "14",
publisher = "SIAM Publications",
address = "Philadelphia, PA~19101, USA"
}
@techreport{ipm:Morin1,
author = "T. L. Morin and B. Haas and T. B. Trafalis",
title = "Implementation of an interior point algorithm for multiobjective
optimization",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Las Vegas, NV,
USA}",
year = "1990",
month = "May",
institution = "Department of Mathematics and Computer Science, School of
Industrial Engineering, Purdue University",
address = "West Lafayette, IN~47907, USA"
}
@techreport{ipm:Morin2,
author = "T. L. Morin and T. B. Trafalis",
title = "A polynomial--time algorithm for finding an efficient face of a
polyhedron",
type = "{Technical Report}",
year = "1989",
month = "",
institution = "Department of Mathematics and Computer Science, School of
Industrial Engineering, Purdue University",
address = "West Lafayette, IN~47907, USA"
}
@article{ipm:Morin3,
author = "T. L. Morin and N. Prabhu and Z. Zhang",
title = "Feasible gradients in the gravitational method for linear
programming",
journal = "Journal of the Operational Research Society of India (Opsearch)",
volume = "32",
year = "1995",
pages = "253--265"
}
@incollection{ipm:Morin4,
author = "T. L. Morin and N. Prabhu and Z. Zhang",
title = "Complexity of the gravitational method for linear
programming",
booktitle = "Foundations of Software Technology and Theoretical
Computer Science",
editor = "",
year = "1996",
pages = "212--223",
series = "Lecture Notes in Computer Science",
volume = "1180",
publisher = "Springer Verlag",
address = "Berlin, Germany"
}
@techreport{ipm:Morshedi1,
author = "A. M. Morshedi and R. A. Tapia",
title = "Karmarkar as a classical method",
type = "{Technical Report}",
number = "TR~87--7",
year = "1987",
month = "August",
institution = "Department of Mathematical Sciences, Rice University",
address = "Houston, TX~77251, USA"
}
@techreport{ipm:Mosheyev1,
author = "L. Mosheyev and M. Zibulewsky",
title = "Penalty/barriers multiplier algorithm for semidefinite
programming\,: {Dual} bounds and inplementation",
type = "{Research Report}",
number = "1/96",
year = "1996",
institution = "Optimization Laboratory, Faculty of Industrial Engineering
and Management, Technion, Israel Institute of Technology",
address = "Haifa, Israel"
}
@techreport{ipm:Mueller1,
author = "H. M{\"u}ller--Merbach",
title = "Right through the interior with the simplex technique",
type = "{Technical Report}",
year = "1987",
institution = "University of Kaiserslautern",
address = "D--6100~Kaiserslautern, Germany"
}
@article{ipm:Mulkay1,
author = "E. L. Mulkay and S. S. Rao",
title = "Sequential linear programming with interior--point methods
for large--scale optimization",
journal = "Proceedings of the 1998 39th {AIAA/ASME/ASCE/AHS/ASC}
Structures, Structural Dynamics, and Materials Conference and Exhibit
and {AIAA/ASME/AHS} Adaptive Forum",
volume = "Part\,3/4",
year = "1998",
pages = "2175--2180"
}
@techreport{ipm:Mulvey1,
author = "J. M. Mulvey and A. Ruszczynski",
title = "A diagonal quadratic approximation method for large scale
linear programs",
type = "{Technical Report}",
number = "SOR~90--08",
year = "1990",
institution = "School of Engineering and Applied Science, Department
of Civil Engineering and Operations Research, Princeton University",
address = "Princeton, NJ~08544, USA"
}
@techreport{ipm:Mulvey2,
author = "J. M. Mulvey and A. Ruszczynski",
title = "A parallel interior point method for multistage stochastic
optimization",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Anaheim, CA,
USA}",
year = "1991",
month = "November",
institution = "School of Engineering and Applied Science, Department
of Civil Engineering and Operations Research, Princeton University",
address = "Princeton, NJ~08544, USA"
}
@article{ipm:Murai1,
author = "M. Murai",
title = "An affine scaling algorithm for linear programming problem and
its application to utility plant optimization",
journal = "Transactions of the Institute of Systems, Control, and
Information Engineers",
volume = "10",
year = "1997",
pages = "62--69"
}
@techreport{ipm:Muramatsu1,
author = "M. Muramatsu and T. Tsuchiya",
title = "A convergence analysis of a long--step variant of the
projective scaling algorithm",
type = "{Research Memorandum}",
number = "454",
year = "1992",
month = "November",
institution = "The Institute of Statistical Mathematics",
address = "4--6--7 Minami--Azabu, Minato--Ku, Tokyo~106, Japan"
}
@article{ipm:Muramatsu2,
author = "M. Muramatsu and T. Tsuchiya",
title = "Convergence analysis of the projective scaling algorithm based on
a long--step homogeneous affine scaling algorithm",
journal = "Mathematical Programming",
volume = "72",
year = "1996",
pages = "291--305"
}
@article{ipm:Muramatsu3,
author = "M. Muramatsu and T. Tsuchiya",
title = "An affine scaling method with an infeasible starting point\,:
{Convergence} analysis under nondegeneracy assumption",
journal = "Annals of Operations Research",
volume = "62",
year = "1996",
pages = "325--355"
}
@techreport{ipm:Muramatsu4,
author = "M. Muramatsu and R. J. Vanderbei",
title = "Primal--dual affine--scaling algorithms fail for semidefinite
programming",
type = "{Technical Report}",
number = "SOR~97--05",
year = "1997",
month = "April",
institution = "Department of Civil Engineering and Operations Research,
Princeton University",
address = "Princeton, NJ~08544, USA",
note = "Revised June 1997"
}
@article{ipm:Muramatsu5,
author = "M. Muramatsu",
title = "Affine scaling algorithm fails for semidefinite programming",
journal = "Mathematical Programming",
volume = "83",
year = "1998",
pages = "393--406",
note = "See also {\it{S{\= u}rikaisekikenky{\= u}sho K{\= o}ky{\= u}roku
1004 (1997), 128--132}}"
}
@incollection{ipm:Murray1,
author = "W. Murray",
title = "Methods for large--scale linear programming",
booktitle = "Algorithms and Model Formulations in Mathematical Programming",
editor = "S. W. Wallace",
series = "NATO ASI Series F",
volume = "51",
year = "1989",
pages = "115--137",
publisher = "Springer Verlag",
address = "Berlin, Germany"
}
@techreport{ipm:Murray2,
author = "S. M. Murray",
title = "An interior point conjugate gradient approach to the generalized
flow problem with costs",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Anaheim, CA,
USA}",
year = "1991",
month = "November",
institution = "Department of Operations Research, Stanford University",
address = "Stanford, CA~94305, USA"
}
@article{ipm:Murray3,
author = "W. Murray and M. H. Wright",
title = "Line search procedures for the logarithmic barrier function",
journal = "SIAM Journal on Optimization",
volume = "4",
year = "1994",
pages = "229--246"
}
@phdthesis{ipm:Murray4,
author = "S. M. Murray",
title = "An interior point approach to the generalized flow problem with
costs and related problems",
year = "1992",
month = "August",
school = "Department of Operations Research, Stanford University",
address = "Stanford, CA~94305, USA"
}
@techreport{ipm:Murty1,
author = "K. G. Murty and Y. Fathi",
title = "A feasible direction method for linear programming",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Boston, MA,
USA}",
year = "1985",
month = "April",
institution = "Department of Operations Research, University of Michigan",
address = "Ann Arbor, MI~48103, USA",
note = "See Murty \cite{ipm:Murty2,ipm:Murty3}"
}
@techreport{ipm:Murty2,
author = "K. G. Murty",
title = "A new interior variant of the gradient projection method
for linear programming",
type = "{Technical Report}",
number = "85--18",
year = "1985",
institution = "Department of Operations Research, University of Michigan",
address = "Ann Arbor, MI~48103, USA",
note = "See Murty \cite{ipm:Murty3}"
}
@article{ipm:Murty3,
author = "K. G. Murty",
title = "The gravitational method for linear programming",
journal = "Journal of the Operational Research Society of India
(Opsearch)",
volume = "23",
year = "1986",
pages = "206--214"
}
@inbook{ipm:Murty4,
author = "K. G. Murty",
title = "{Linear Complementarity, Linear and Nonlinear Programming}",
chapter = "11.4.1\,: {The Karmarkar's algorithm for linear programming}",
pages = "469--494",
series = "Sigma Series in Applied Mathematics",
volume = "3",
publisher = "Heldermann Verlag",
address = "Nassauische~Str.~26, D--1000~Berlin~31, Germany",
year = "1988"
}
@inbook{ipm:Murty5,
author = "K. G. Murty",
title = "{Linear Complementarity, Linear and Nonlinear Programming}",
chapter = "11.4.4\,: {The gravitational method for linear programming}",
pages = "498--506",
series = "Sigma Series in Applied Mathematics",
volume = "3",
publisher = "Heldermann Verlag",
address = "Nassauische~Str.~26, D--1000~Berlin~31, Germany",
year = "1988"
}
@techreport{ipm:Mylander1,
author = "W. C. Mylander and R. L. Holmes and G. P. McCormick",
title = "A guide to {SUMT--Version~4}\,: {The} computer program
implementing the sequential unconstrained minimization technique for
nonlinear programming",
type = "{Research Paper}",
number = "RAC--P--63",
year = "1971",
institution = "Research Analysis Corporation",
address = "McLean, USA"
}
@article{ipm:Nakamura1,
author = "Y. Nakamura",
title = "Lax pair and fixed point analysis of {Karmarkar's} projective
scaling trajectory for linear programming",
journal = "Japan Journal of Industrial and Applied Mathematics",
volume = "11",
year = "1994",
pages = "1--9"
}
@article{ipm:Nash1,
author = "S. G. Nash",
title = "Optimization at {ICIAM\,'91}",
journal = "SIAM News",
volume = "24",
number = "5",
year = "1991",
month = "September",
pages = "16"
}
@techreport{ipm:Nash2,
author = "S. G. Nash and A. Sofer",
title = "Newton--type barrier methods for large--scale nonlinear
programming",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Orlando, FL,
USA}",
year = "1992",
month = "April",
institution = "Department of Operations Research and Applied Statistics,
George Mason University",
address = "Fairfax, VA~22030, USA"
}
@article{ipm:Nash3,
author = "S. G. Nash and A. Sofer",
title = "A barrier method for large--scale constrained optimization",
journal = "ORSA Journal on Computing",
volume = "5",
year = "1993",
pages = "40--53"
}
@incollection{ipm:Nash4,
author = "S. G. Nash and R. Polyak and A. Sofer",
title = "A numerical comparison of barrier and modified barrier methods for
large--scale bound--constrained optimization",
booktitle = "Large--Scale Optimization\,: The State--of--the --Art",
editor = "W. W. Hager and D. W. Hearn and P. M. Pardalos",
year = "1994",
pages = "319--338",
publisher = "Kluwer Academic Publishers",
address = "Dordrecht, The Netherlands"
}
@article{ipm:Nash5,
author = "S. G. Nash and A. Sofer",
title = "On the complexity of a practical interior--point method",
journal = "SIAM Journal on Optimization",
volume = "8",
year = "1998",
pages = "833--849"
}
@techreport{ipm:Nash6,
author = "S. G. Nash and A. Sofer",
title = "Why extrapolation helps barrier methods",
type = "{Technical Report}",
year = "1998",
month = "September",
institution = "Department of Operations Research and Applied Statistics,
George Mason University",
address = "Fairfax, VA~22030, USA"
}
@inproceedings{ipm:Nayakkankuppam1,
author = "M. V. Nayakkankuppam and M. L. Overton",
title = "Primal--dual interior--point methods for semidefinite
programming",
booktitle = "Proceedings of the IEEE International Symposium on
Computer--Aided Control System Design",
year = "1996",
organization = "IEEE Control Systems Society",
month = "September",
pages = "235--239"
}
@techreport{ipm:Nazareth1,
author = "J. L. Nazareth",
title = "Karmarkar's method and homotopies with restart",
type = "{CDSS Report}",
year = "1985",
institution = "University of California",
address = "Berkeley, CA~94720, USA"
}
@article{ipm:Nazareth2,
author = "J. L. Nazareth",
title = "Homotopy techniques in linear programming",
journal = "Algorithmica",
volume = "1",
number = "4",
year = "1986",
pages = "529--535"
}
@incollection{ipm:Nazareth3,
author = "J. L. Nazareth",
title = "Pricing criteria in linear programming",
booktitle = "Progress in Mathematical Programming\,: Interior Point and
Related Methods",
editor = "N. Megiddo",
year = "1989",
pages = "105--130",
publisher = "Springer Verlag",
address = "Berlin, Germany"
}
@article{ipm:Nazareth4,
author = "J. L. Nazareth",
title = "Some parallels in the historical development of the simplex and
interior point methods for linear programming",
journal = "{Mathematics Notes from Washington State University}",
volume = "33",
number = "1",
year = "1990",
month = "January"
}
@article{ipm:Nazareth5,
author = "J. L. Nazareth",
title = "The homotopy principle and algorithms for linear programming",
journal = "SIAM Journal on Optimization",
volume = "1",
number = "3",
year = "1991",
pages = "316--332"
}
@article{ipm:Nazareth6,
author = "J. L. Nazareth",
title = "The implementation of linear programming algorithms based on
homotopies",
journal = "Algorithmica",
volume = "15",
year = "1996",
pages = "332--350"
}
@techreport{ipm:Nazareth7,
author = "J. L. Nazareth",
title = "Quadratic and conic approximating models in linear programming",
type = "{Technical Report}",
year = "1992",
month = "May",
institution = "Department of Pure and Applied Mathematics, Washington
State University",
address = "Pullman, WA~99164--3113, USA",
note = "Revised October 1992. To appear in {\em Mathematical Progamming
Society Committee on Algorithms (COAL) Bulletin 23 (1994)}"
}
@techreport{ipm:Nazareth8,
author = "J. L. Nazareth",
title = "The duality principle and algorithms for linear
programming\,: {A} unified approach based on quadratic and conic
approximating models",
type = "{Technical Report}",
year = "1991",
month = "June",
institution = "Department of Pure and Applied Mathematics, Washington
State University",
address = "Pullman, WA~99164--3113, USA"
}
@article{ipm:Nazareth9,
author = "J. L. Nazareth",
title = "From {Dikin} to {Karmarkar} via scalings, models and trust
regions",
journal = "SIAG/OPT Views--and--News, A Forum for the SIAM Activity
Group on Optimization",
volume = "1",
year = "1993"
}
@techreport{ipm:Nazareth10,
author = "J. L. Nazareth",
title = "Trust regions based on conic functions in linear and nonlinear
programming",
type = "{Technical Report}",
year = "1992",
month = "October",
institution = "Department of Pure and Applied Mathematics, Washington
State University",
address = "Pullman, WA~99164--3113, USA",
note = "Submitted to {\em Journal on Numerical Linear Algebra and
Applications}"
}
@techreport{ipm:Nazareth11,
author = "J. L. Nazareth",
title = "A reformulation of the central path equations and its
algorithmic implications",
type = "{Technical Report}",
number = "94--1",
year = "1993",
month = "September",
institution = "Department of Pure and Applied Mathematics, Washington
State University",
address = "Pullman, WA~99164--3113, USA",
note = "Revised February 1994"
}
@article{ipm:Nazareth12,
author = "J. L. Nazareth",
title = "Deriving potential functions via a symmetry principle for
nonlinear equations",
journal = "Operations Research Letters",
volume = "21",
year = "1997",
pages = "147--152"
}
@article{ipm:Nazareth13,
author = "J. L. Nazareth",
title = "A framework for interior point methods of linear programming",
journal = "Optimization Methods and Software",
volume = "5",
year = "1995",
pages = "227--234"
}
@inbook{ipm:Nemhauser1,
author = "G. L. Nemhauser and L. A. Wolsey",
title = "Integer and Combinatorial Optimization",
chapter = "I.6.4\,: {A} projective algorithm for linear programming",
pages = "164--172",
publisher = "John Wiley\,\&\,Sons",
address = "New York",
year = "1988"
}
@article{ipm:Nemirovsky1,
author = "A. S. Nemirovsky",
title = "An algorithm of the {Karmarkar} type",
journal = "Teknicheskaya Kibernetika",
volume = "1",
year = "1987",
pages = "105--118",
note = "Translated in\,: {\em Soviet Journal on Computers and System
Sciences~25(5):61--74, 1987}"
}
@article{ipm:Nemirovsky2,
author = "A. S. Nemirovsky",
title = "An new polynomial algorithm for linear programming",
journal = "Doklady Akademii Nauk SSSR",
volume = "298",
number = "6",
year = "1988",
pages = "1321--1325",
note = "Translated in\,: {\em Soviet Mathematics Doklady~37(1): 264--269,
1988}"
}
@article{ipm:Nemirovsky3,
author = "A. S. Nemirovsky and K. Scheinberg",
title = "Extension of {Karmarkar's} algorithm onto convex quadratically
constrained quadratic problems",
journal = "Mathematical Programming",
volume = "72",
year = "1996",
pages = "273--289"
}
@article{ipm:Nemirovsky4,
author = "A. S. Nemirovsky",
title = "On polynomiality of the method of analytic centers for fractional
problems",
journal = "Mathematical Programming",
volume = "73",
year = "1996",
pages = "175--198"
}
@article{ipm:Nemirovsky5,
author = "A. S. Nemirovsky and P. Gahinet",
title = "The projective method for solving linear matrix inequalities",
journal = "Proceedings of the American Control Conference (June 1994)",
year = "1994",
pages = "840--844"
}
@article{ipm:Nemirovsky6,
author = "A. S. Nemirovsky",
title = "The long--step method of analytic centers for fractional problems",
journal = "Mathematical Programming",
volume = "77",
year = "1997",
pages = "191--224"
}
@incollection{ipm:Nemirovsky7,
author = "A. S. Nemirovsky",
title = "Polynomial time methods in convex programming",
editor = "J. Renegar and M. Shub and S. Smale",
booktitle = "The Mathematics of Numerical Analysis (1995 AMS--SIAM Summer
Seminar in Applied Mathematics July/August 1995 held at Park City, UT,
USA)",
series = "Lectures in Applied Mathematics",
volume = "32",
year = "1996",
pages = "543--589",
publisher = "American Mathematical Society",
address = "Providence, RI~02940--6248, USA"
}
@techreport{ipm:Nemirovsky8,
author = "A. S. Nemirovsky",
title = "On self--concordant convex--concave functions",
type = "{Research Report}",
number = "3/97",
year = "1997",
month = "June",
institution = "Optimization Laboratory Faculty of Industrial
Engineering and Managament at Technion",
address = "Technion City, Haifa~32000, Israel"
}
@techreport{ipm:Nemirovsky9,
author = "A. S. Nemirovsky",
title = "On normal self--concordant barriers and long--step interior
point methods",
type = "{Working Paper}",
number = "",
year = "1997",
month = "August",
institution = "Optimization Laboratory Faculty of Industrial
Engineering and Managament at Technion",
address = "Technion City, Haifa~32000, Israel"
}
@techreport{ipm:Nemirovsky10,
author = "A. S. Nemirovsky and C. Roos and T. Terlaky",
title = "On maximization of quadratic form over intersection of
ellipsoids with common center",
type = "{Technical Report}",
number = "98--??",
year = "1998",
month = "June",
institution = "Faculty of Technical Mathematics and Informatics, Delft
University of Technology",
address = "P.O. Box 5031, 2600 GA Delft, The Netherlands"
}
@inbook{ipm:Nering1,
author = "E. D. Nering and A. W. Tucker",
title = "Linear Programs and Related Problems",
chapter = "6.6\,: {The Karmarkar} algorithm",
year = "1993",
pages = "241--249",
publisher = "Academic Press",
address = "San Diego, CA, USA"
}
@article{ipm:Nesterov1,
author = "Yu. E. Nesterov",
title = "Polynomial methods in the linear and quadratic programming",
journal = "Teknicheskaya Kibernetika",
volume = "3",
year = "1988",
pages = "3--6",
note = "Translated in\,: {\em Soviet Journal on Computers and System
Sciences~26:98--101, 1988}"
}
@article{ipm:Nesterov2,
author = "Yu. E. Nesterov",
title = "Polynomial--time dual algorithms for linear programming",
journal = "Kibernetika",
volume = "25",
number = "1",
year = "1989",
pages = "34--40",
note = "Translated in\,: {\em Cybernetics~25(1):40--49, 1989}"
}
@article{ipm:Nesterov3,
author = "Yu. E. Nesterov and A. S. Nemirovsky",
title = "Acceleration and parallelization of the path--following interior
point method for a linearly constrained convex quadratic problem",
journal = "SIAM Journal on Optimization",
volume = "1",
number = "4",
year = "1991",
pages = "548--564"
}
@techreport{ipm:Nesterov4,
author = "Yu. E. Nesterov and A. S. Nemirovsky",
title = "Self--concordant functions and polynomial--time methods in convex
programming",
type = "{Book--Preprint}",
year = "1989",
institution = "Central Economic and Mathematical Institute, USSR Academy
of Science",
address = "Moscow, USSR",
note = "Published in Nesterov and Nemirovsky \cite{ipm:Nesterov5}"
}
@book{ipm:Nesterov5,
author = "Yu. E. Nesterov and A. S. Nemirovsky",
title = "Interior--Point Polynomial Algorithms in Convex Programming\,:
Theory and Algorithms",
year = "1993",
series = "Studies in Applied Mathematics",
volume = "13",
publisher = "Society of Industrial and Applied Mathematics (SIAM)
Publications",
address = "Philadelphia, PA~19101, USA"
}
@techreport{ipm:Nesterov6,
author = "Yu. E. Nesterov and A. S. Nemirovsky",
title = "A general approach to polynolmial--time algorithms design for
convex programming",
type = "{Technical Report}",
year = "1988",
institution = "Central Economic and Mathematical Institute, USSR Academy of
Science",
address = "Moscow, USSR"
}
@article{ipm:Nesterov7,
author = "Yu. E. Nesterov and A. S. Nemirovsky",
title = "{'Conic'} formulation of a convex programming problem and duality",
journal = "Optimization\,\&\,Software",
volume = "1",
year = "1992",
pages = "10--31"
}
@article{ipm:Nesterov8,
author = "Yu. E. Nesterov and A. S. Nemirovsky",
title = "An interior--point method for generalized linear--fractional
programming",
journal = "Mathematical Programming",
volume = "69",
year = "1995",
pages = "177--204"
}
@techreport{ipm:Nesterov9,
author = "Yu. E. Nesterov and A. S. Nemirovsky",
title = "Logarithmically homogeneous barriers and potential based
polynomial time methods in convex programming",
type = "{Research Report}",
year = "1990",
month = "May",
institution = "Central Economic and Mathematical Institute, USSR Academy
of Science",
address = "Moscow, USSR"
}
@article{ipm:Nesterov10,
author = "Yu. E. Nesterov and M. J. Todd",
title = "Self--scaled barriers and interior--point methods for convex
programming",
journal = "Mathematics of Operations Research",
volume = "22",
year = "1997",
pages = "1--42",
note = "See also Nesterov and Todd \cite{ipm:Nesterov13}"
}
@techreport{ipm:Nesterov11,
author = "Yu. E. Nesterov",
title = "Long--step strategies in interior point potential--reduction
methods",
type = "{Technical Report}",
year = "1993",
institution = "Department of Management Studies, Faculty of SES,
University of Geneva",
address = "Geneva, Switzerland"
}
@article{ipm:Nesterov12,
author = "Yu. E. Nesterov and Y. Ye",
title = "Polynomial methods in linear and quadratic programming",
journal = "Soviet Journal of Computer and Systems Sciences",
volume = "26",
number = "5",
year = "1988",
pages = "98--101"
}
@article{ipm:Nesterov13,
author = "Yu. E. Nesterov and M. J. Todd",
title = "Primal--dual interior--point methods for self--scaled cones",
journal = "SIAM Journal on Optimization",
volume = "8",
year = "1998",
pages = "324--364",
note = "See also Nesterov and Todd \cite{ipm:Nesterov10}"
}
@techreport{ipm:Nesterov14,
author = "Yu. E. Nesterov and A. S. Nemorirovsky",
title = "Technique for constructing self--concordant barriers",
type = "{Technical Report}",
number = "1993.17",
year = "1993",
institution = "Department of Economical and Social Sciences, University
of Geneva",
address = "CH--1211 Geneva, Switzerland"
}
@techreport{ipm:Nesterov15,
author = "Yu. E. Nesterov",
title = "Cutting plane algorithms from analytic centers\,: {Efficiency}
estimates",
type = "{Technical Report}",
number = "1992.?",
year = "1992",
institution = "Department of Economical and Social Sciences, University
of Geneva",
address = "CH--1211 Geneva, Switzerland"
}
@article{ipm:Nesterov16,
author = "Yu. E. Nesterov",
title = "Complexity estimates of some cutting plane methods based on
the analytic barrier",
journal = "Mathematical Programming",
volume = "69",
year = "1995",
pages = "149--176"
}
@article{ipm:Nesterov17,
author = "Yu. E. Nesterov and M. J. Todd",
title = "Infeasible--start primal--dual methods and infeasible detectors
for nonlinear programming",
journal = "Mathematical Programming",
volume = "84",
year = "1999",
pages = "227--267"
}
@techreport{ipm:Nesterov18,
author = "Yu. E. Nesterov and A. S. Nemirovsky",
title = "Logarithmically homogeneous barriers and polynomial time methods
based {Lyapunov's} functions",
type = "{Research Report}",
year = "1990",
month = "May",
institution = "Central Economic and Mathematical Institute, USSR Academy
of Science",
address = "Moscow, USSR"
}
@techreport{ipm:Nesterov19,
author = "Yu. E. Nesterov",
title = "Infeasible start interior point primal--dual methods in nonlinear
programming",
type = "{CORE Discussion Paper}",
number = "9567",
year = "1995",
institution = "Center of Operations Research and Econometrics, Universite
Catholique de Louvain",
address = "B--1348~Louvain--la--Neuve, Belgium"
}
@article{ipm:Nesterov20,
author = "Yu. E. Nesterov and A. S. Nemirovsky",
title = "Multi--parameter surfaces of analytic centers and long--step
path--following interior point methods",
journal = "Mathematics of Operations Research",
volume = "23",
year = "1998",
pages = "1--38"
}
@article{ipm:Nesterov21,
author = "Yu. E. Nesterov",
title = "Long--step strategies in interior--point primal--dual methods",
journal = "Mathematical Programming",
volume = "76",
year = "1997",
pages = "47--94"
}
@techreport{ipm:Nesterov22,
author = "Yu. E. Nesterov and J.--Ph. Vial",
title = "Homogeneous analytic center cutting plane methods for convex
problems and variational inequalities",
type = "{Logilab Technical Report}",
number = "1997.4",
year = "1997",
institution = "Department of Management Studies, University of Geneva",
address = "CH--1211 Geneva, Switzerland"
}
@article{ipm:Nesterov23,
author = "Yu. E. Nesterov",
title = "Interior--point methods\,: {An} old and new approach to
nonlinear programming",
journal = "Mathematical Programming",
volume = "79",
year = "1997",
pages = "285--297"
}
@techreport{ipm:Nesterov24,
author = "Yu. E. Nesterov and M. J. Todd",
title = "Self-scaled cones and interior-point methods in nonlinear
programming",
type = "{Technical Report}",
number = "",
year = "1994",
institution = "School of Operations Research and Industrial Engineering,
Cornell University",
address = "Ithaca, NY~14853--3801, USA"
}
@techreport{ipm:Nesterov25,
author = "Yu. E. Nesterov and O. Peton and J.--Ph. Vial",
title = "Homogeneous analytic center cutting plane methods with
approximate centers",
type = "{HEC Technical Report}",
number = "98.3",
year = "1998",
month = "February",
institution = "Department of Management Studies, UNiversity of Geneva",
address = "Geneva, The Switzerland"
}
@techreport{ipm:Neumann1,
author = "{J. von} Neumann",
title = "On a maximization problem",
type = "Manuscript",
year = "1947",
institution = "Institute for Advanced Studies, Princeton University",
address = "Princeton, NJ 08544, USA"
}
@article{ipm:Nickel1,
author = "W. Nickel and W. R{\"o}dder and L. Xu and H. J. Zimmermann",
title = "Intelligent gradient search in linear programming",
journal = "European Journal of Operational Research",
volume = "22",
year = "1985",
pages = "293--303"
}
@article{ipm:Nie1,
author = "Y. Nie and S. Xu",
title = "In isometric plane method for linear programming",
journal = "Journal of Computational Mathematics",
volume = "9",
number = "3",
year = "1991",
pages = "262--272"
}
@techreport{ipm:Noma1,
author = "T. Noma and N. Megiddo and M. Kojima and A. Yoshise",
title = "Some classes of linear complementarity problems that can be
processed by interior point methods",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Philadelphia,
PA, USA}",
year = "1990",
month = "October",
institution = "Department of Information Science, Tokyo Institute of
Technology",
address = "2--12--1~Oh--Okayama, Meguro--ku, Tokyo~152, Japan"
}
@techreport{ipm:Noma2,
author = "T. Noma and M. Kojima",
title = "A global, convergent iterative algorithm for complementarity
problems",
type = "{Talk held at the TIMS/SOBRAPO Joint International Meeting in
Rio de Janeiro, Brazil}",
year = "1991",
month = "July",
institution = "Department of Information Science, Tokyo Institute of
Technology",
address = "2--12--1~Oh--Okayama, Meguro--ku, Tokyo~152, Japan"
}
@phdthesis{ipm:Noma3,
author = "T. Noma",
title = "A globally convergent iterative algorithm for complementarity
problems\,: {A} modification of interior point algorithms for linear
complementarity problems",
year = "1991",
school = "Department of Information Science, Tokyo Institute of
Technology",
address = "2--12--1~Oh--Okayama, Meguro--ku, Tokyo~152, Japan"
}
@mastersthesis{ipm:Nunez1,
author = "M. A. Nunez",
title = "Experiments using variants of {Dikin's} ellipsoid method for
solving mathematical programs",
year = "1990",
school = "Systems Optimization Laboratory, Department of Operations
Research, Stanford University",
address = "Stanford, CA~94305, USA"
}
@article{ipm:Nunez2,
author = "M. A. Nunez and R. M. Freund",
title = "Condition measures and properties of the central trajectory of a
linear program",
journal = "Mathematical Programming",
volume = "83",
year = "1998",
pages = "1--28",
note = "Identical version to Freund and Nunez \cite{ipm:Freund33}"
}
@techreport{ipm:Nunez3,
author = "M. A. Nunez",
title = "A characterization of ill--posed data instances for convex
programming",
type = "{Technical Report}",
number = "",
year = "1998",
month = "September",
institution = "School of Business and Economics, Chapman University",
address = "333~N~Glassell Street, Orange, CA~92866, USA"
}
@article{ipm:Nurminskii1,
author = "E. A. Nurminskii and S. K. Andrusenko and P. I. Stetsyuk",
title = "A new polynomial algorithm for linear programming",
journal = "Kibernetika (Kiev)",
volume = "4",
year = "1985",
pages = "118--120, 136",
note = "(In Russian, English summary)"
}
@article{ipm:Obuchowska1,
author = "W. T. Obuchowska and R. J. Caron",
title = "Improving the rate of convergence of interior point methods for
smooth convex programmes",
journal = "Optimization",
volume = "35",
year = "1995",
pages = "317--332"
}
@article{ipm:Oestermark1,
author = "R. {\"O}stermark",
title = "Solving a linear multi--period portfolio problem by
interior--point methodology",
journal = "Computer Science in Economics and Management",
volume = "5",
year = "1992",
pages = "283--302"
}
@techreport{ipm:Oestermark2,
author = "R. {\"O}stermark",
title = "Polynomial convergence to the efficient set of polytopes by
interior point methology\,: {Application} -- {Multiperiod} programming
under risk",
type = "{Meddelanden fran Ekonomisk--Statsvetenskapliga Fakulteten
vid Abo Akademi, Series A}",
number = "324",
year = "1991",
institution = "Ekonomisk--Statsvetenskapliga Fakulteten, Abo University",
address = "Abo, Finland"
}
@techreport{ipm:Oestermark3,
author = "R. {\"O}stermark",
title = "Parametric stability of interior point methods for linear
programming\,: {Evidence} on solving portfolio problems on hihgh
performance computers",
type = "{Meddelanden fran Ekonomisk--Statsvetenskapliga Fakulteten
vid Abo Akademi, Series A}",
number = "360",
year = "1992",
institution = "Ekonomisk--Statsvetenskapliga Fakulteten, Abo University",
address = "Abo, Finland"
}
@article{ipm:Oestermark4,
author = "R. {\"O}stermark and M. Saarinen",
title = "A multiprocessor interior point algorithm",
journal = "Kybernetes",
volume = "25",
year = "1996",
pages = "84--100"
}
@article{ipm:Ohara1,
author = "A. Ohara",
title = "Interior point methods and dual geometry in convex programming",
journal = "S{\= u}rikaisekikenky{\= u}sho K{\= o}ky{\= u}roku",
volume = "889",
year = "1994",
pages = "19--25",
note = "(In Japanese). English journal\,: {\em Applied Analysis in Terms
of Nonlinear Integrable Systems}, Kyoto, 1994"
}
@article{ipm:Ohara2,
author = "A. Ohara",
title = "Information geometric analysis of an interior--point method
for semidefinite programming",
journal = "S{\= u}rikaisekikenky{\= u}sho K{\= o}ky{\= u}roku",
volume = "1004",
year = "1997",
pages = "71--89"
}
@phdthesis{ipm:Oliveira1,
author = "{A. R. L. de} Oliveira",
title = "A new class of preconditioners for large--scale linear systems
for interior--point methods for linear programming",
year = "1997",
school = "Department of Computational and Applied Mathematics, Rice
University",
address = "Houston, TX~77251, USA",
note = "Available as\,: Technical Report TR97--11"
}
@techreport{ipm:Oliviera2,
author = "{A. R. L. de} Oliviera and D. C. S{\o}rensen",
title = "A new class of preconditioners for large--scale linear systems from
interior point methods for linear programming",
type = "{Technical Report}",
number = "TR\,97--27",
year = "1997",
month = "November",
institution = "Department of Computational and Applied Mathematics, Rice
University",
address = "Houston, TX~77251, USA"
}
@techreport{ipm:Oliviera3,
author = "{A. R. L. de} Oliviera and D. C. S{\o}rensen",
title = "Computational experience with a preconditioner for interior point
methods for linear programming",
type = "{Technical Report}",
number = "TR\,97--28",
year = "1997",
month = "November",
institution = "Department of Computational and Applied Mathematics, Rice
University",
address = "Houston, TX~77251, USA"
}
@incollection{ipm:Oohori1,
author = "T. Oohori and A. Ohuchi",
title = "Symbolic generation of an optimal {Karmarkar's} algorithm
for sparse linear programs",
booktitle = "System Modelling and Optimization\,: Proceedings of the 14th
IFIP--Confernce, Leipzig, East--Germany, July 1989",
editor = "H. J. Sebastian and K. Tammer",
year = "1990",
pages = "194--203",
series = "Lecture Notes in Control and Information Sciences",
volume = "143",
publisher = "Springer Verlag",
address = "Berlin, Germany"
}
@article{ipm:Osborne1,
author = "M. R. Osborne",
title = "Dual barrier functions with superfast rates of convergence for the
linear programming problem",
journal = "Journal of the Australian Mathematical Society, Ser.\,B",
volume = "29",
year = "1987",
pages = "39--58"
}
@article{ipm:Osborne2,
author = "M. R. Osborne",
title = "An interior point method for linear programming",
journal = "Journal of the Australian Mathematical Society, Ser.\,B",
volume = "31",
year = "1990",
pages = "367--378"
}
@incollection{ipm:Osborne3,
author = "M. R. Osborne",
title = "A modified barrier function method for linear programming",
booktitle = "Advances in Optimization and Approximation",
editor = "D.--Z. Du and J. Sun",
year = "1994",
pages = "247--255",
series = "Nonconvex Optimization and Its Applications",
volume = "1",
publisher = "Kluwer Academic Publishers",
address = "Dordrecht, The Netherlands"
}
@techreport{ipm:Padberg1,
author = "M. W. Padberg",
title = "Solution of a nonlinear programming problem arising in the
projective method for linear programming",
type = "{Technical Report}",
year = "1985",
month = "March",
institution = "School of Business and Administration, New York University",
address = "New York, NY~10003, USA",
note = "To appear in {\em SIAM Journal on Control and Optimization}"
}
@article{ipm:Padberg2,
author = "M. W. Padberg",
title = "A different convergence proof of the projective method for linear
programming",
journal = "Operations Research Letters",
volume = "4",
year = "1986",
pages = "253--257"
}
@techreport{ipm:Pai1,
author = "R. Pai and N. K. Karmarkar and {S. S.} S. P. Rao",
title = "A global router based on {Karmarkar's} interior point method",
type = "{CSE Technical Report}",
year = "1988",
month = "April",
institution = "Indian Institute of Technology",
address = "Bombay, India"
}
@article{ipm:Pan1,
author = "V. Pan",
title = "The modified barrier function method for linear programming and its
extension",
journal = "Computers and Mathematics with Applications",
volume = "20",
number = "3",
year = "1990",
pages = "1--14"
}
@article{ipm:Pan2,
author = "V. Pan and J. Reif",
title = "Efficient parallel linear programming",
journal = "Operations Research Letters",
volume = "5",
year = "1986",
pages = "127--135"
}
@article{ipm:Pan3,
author = "V. Pan and J. Reif",
title = "Fast and efficient linear programming and linear least--squares
computations",
journal = "Computers and Mathematics with Applications Ser.~A",
volume = "12",
year = "1986",
pages = "1217--1227"
}
@inbook{ipm:Panik1,
author = "M. J. Panik",
title = "{Linear Programming\,: Mathematics, Theory and Algorithms}",
chapter = "13\,: {Interior} point methods, chapter 14\,: {Interior}
point algorithms for solving linear complementary problems",
year = "1995",
pages = "341--458",
series = "Applied Optimization",
volume = "2",
publisher = "Kluwer Academic Publishers",
address = "Dordrecht, The Netherlands"
}
@phdthesis{ipm:ParadaGarcia1,
author = "Z. {Parada Gracia}",
title = "A modified augmented {Lagrangian} merit function, and q--superlinear
characterization results for primal--dual quai--{Newton} interior--point
methods for nonlinear programming",
year = "1997",
school = "Department of Computational and Applied Mathematics, Rice
University",
address = "Houston, TX~77251, USA",
note = "Available as\,: Technical Report TR97--12"
}
@techreport{ipm:Pardalos1,
author = "P. M. Pardalos",
title = "Interior point algorithms for nonconvex quadratic problems",
type = "{Talk held at the DGOR--Jahrestagung in Vienna, Austria}",
year = "1990",
month = "August",
institution = "Department of Computer Science, Pennsylvania State
University",
address = "University Park, PA~16802, USA"
}
@techreport{ipm:Pardalos2,
author = "P. M. Pardalos and C. G. Han and Y. Ye",
title = "Computational aspects of an interior point algorithm for
quadratic problems with box constraints",
type = "{Talk held at the SIAM Annual Meeting in Chicago, IL, USA}",
year = "1990",
month = "July",
institution = "Department of Computer Science, Pennsylvania State
University",
address = "University Park, PA~16802, USA"
}
@techreport{ipm:Pardalos3,
author = "P. M. Pardalos and Y. Ye and C. G. Han",
title = "Parallel computing in quadratic programming",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Las Vegas, NV,
USA}",
year = "1990",
month = "May",
institution = "Department Computer Science, Pennsylvania State
University",
address = "University Park, PA~16802, USA"
}
@article{ipm:Pardalos4,
author = "P. M. Pardalos and Y. Ye and C. G. Han",
title = "Algorithms for the solution of quadratic knapsack problems",
journal = "Linear Algebra and Its Applications",
volume = "152",
year = "1991",
pages = "69--91"
}
@incollection{ipm:Pardalos5,
author = "P. M. Pardalos and Y. Ye and C. G. Han",
title = "An interior point algorithm for large--scale quadratic problems
with box constraints",
booktitle = "Analysis and Optimization of Systems\,: Proceedings of the
9th International Conference, Antibes, France, 1990",
editor = "A. Bensoussan and J. L. Lions",
year = "1990",
pages = "413--422",
series = "Lecture Notes in in Control and Information Sciences",
volume = "144",
publisher = "Springer Verlag",
address = "Berlin, Germany"
}
@article{ipm:Pardalos6,
author = "P. M. Pardalos",
title = "Polynomial time algorithms for some classes of constrained
nonconvex quadratic problems",
journal = "Optimization",
volume = "21",
year = "1990",
pages = "843--853"
}
@techreport{ipm:Pardalos7,
author = "P. M. Pardalos and C. G. Han and J. A. Kaliski and Y. Ye",
title = "Solution of quadratic programming and linear complementarity
problems using a potential reduction algorithm",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Nashville,
Tennessee, USA}",
year = "1991",
month = "May",
institution = "Department of Computer Science, Pennsylvania State
University",
address = "University Park, PA~16802, USA"
}
@article{ipm:Pardalos8,
author = "P. M. Pardalos and Y. Ye and C. G. Han and J. A. Kaliski",
title = "Solution of {$P_{0}$}--matrix linear complementarity problems
using a potential reduction algorithm",
journal = "SIAM Journal on Matrix Analysis and Applications",
volume = "14",
year = "1993",
pages = "1048--1060"
}
@article{ipm:Pardalos9,
author = "P. M. Pardalos and C. G. Han and Y. Ye",
title = "Interior--point algorithms for solving nonlinear optimization
problems",
journal = "Mathematical Programming Society Committee on Algorithms (COAL)
Newsletter",
volume = "19",
year = "1991",
month = "August",
pages = "45--54"
}
@incollection{ipm:Pardalos10,
author = "P. M. Pardalos and M. G. C. Resende",
title = "Interior point algorithms for network flow problems",
booktitle = "Advances in Linear and Nonlinear Programming",
editor = "J. E. Beasley",
year = "1995",
pages = "145--185",
publisher = "Oxford University Press",
address = "Oxford, Great Britain",
note = "Identical to Resende and Pardalos\,\cite{ipm:Resende19}"
}
@incollection{ipm:Pardalos11,
author = "P. M. Pardalos and M. G. C. Resende",
title = "Interior point methods for global optimization",
booktitle = "Interior Point Methods of Mathematical Programming",
editor = "T. Terlaky",
year = "1996",
pages = "467--500",
series = "Applied Optimization",
volume = "5",
publisher = "Kluer Academic Publishers",
address = "Dordrecht, The Netherlands"
}
@incollection{ipm:Pardalos12,
author = "P. M. Pardalos",
title = "The linear complementarity problem",
booktitle = "Advances in Optimization and Numerical Analysis (Proceedings of
the Sixth Workshop on Optimization and Numerical Analysis, Oaxaca, Mexico,
1992)",
editor = "S. Gomez and J. P. Hennart",
year = "1994",
pages = "39--49",
series = "Mathematics and Its Applications",
volume = "275",
publisher = "Kluwer Academic Publishers",
address = "Dordrecht, The Netherlands"
}
@incollection{ipm:Pardalos13,
author = "P. M. Pardalos and Y. Ye and C. G. Han",
title = "Interior point algorithms in quadratic programming",
booktitle = "{Optimizatsiya\,: Modeli, Metody, Resheniya}",
editor = "V. P. Bulatov",
year = "1992",
pages = "194--213",
publisher = "Nauka",
address = "Novosibirsk, USSR"
}
@article{ipm:Paris1,
author = "Q. Paris",
title = "A primer on {Karmarkar's} algorithm for linear programming",
journal = "METU Studies in Develpoment",
volume = "12",
number = "1--2",
year = "1985",
pages = "131--155"
}
@article{ipm:Parisot1,
author = "G. R. Parisot",
title = "Resolution numerique approchee du probleme de programmation
lineaire par application de la programmation logarithmique {(Approximate
numerical solution of linear programming problems by an application of the
logarithmic programming)}",
journal = "Revue Francaise Recherche Operationelle",
volume = "20",
year = "1961",
pages = "227--259",
note = "(In French)"
}
@inbook{ipm:Parker1,
author = "R. G. Parker and R. L. Rardin",
title = "Discrete Optimization",
chapter = "4.1.3\,: {Karmarkar's} projection scaling algorithm",
year = "1988",
pages = "117--131",
publisher = "Academic Press",
address = "New York, NY, USA"
}
@techreport{ipm:Pataki1,
author = "G. Pataki and L. Tun{\c{c}}el",
title = "On the generic properties of convex optimization problems in conic
form",
type = "{Reseach Report}",
number = "CORR\,97--16",
year = "1997",
month = "September",
institution = "Department of Combinatorics and Optimization, University of
Waterloo",
address = "Waterloo, Ontario~N2L~3G1, Canada"
}
@techreport{ipm:Pena1,
author = "J. Pe{\~{n}}a and J. Renegar",
title = "Quickly computing backward--approximate solutions for
ill--conditioned systems of linear inequalities and forward--approximate
solutions for well--conditioned systems",
type = "Manuscript",
year = "1997",
month = "June",
institution = "Computational and Applied Mathematics Program, Cornell
University",
address = "Ithaca, NY~14853, USA"
}
@techreport{ipm:Pena2,
author = "J. Pe{\~{n}}a",
title = "Understanding the geometry of infeasible perturbations of a conic
linear system",
type = "Manuscript",
year = "1997",
month = "June",
institution = "Computational and Applied Mathematics Program, Cornell
University",
address = "Ithaca, NY~14853, USA"
}
@techreport{ipm:Pena3,
author = "J. Pe{\~{n}}a",
title = "Computing the distance to infeasibility\,: {Theoretical} and
practical issues",
type = "{Technical Report}",
year = "1997",
month = "October",
institution = "Center for Applied Mathematics, Cornell University",
address = "Ithaca, NY~14853, USA"
}
@techreport{ipm:Peng1,
author = "J.--M. Peng and C. Roos and T. Terlaky",
title = "New complexity analysis of the primal--dual {Newton} method
for linear optimization",
type = "{Technical Report}",
number = "98--05",
year = "1998",
month = "",
institution = "Optimization Group TU Delft, Faculty of Information
Technology and Systems, Delft University of Technology",
address = "P.O.\,Box 5031, NL--2600~GA~Delft, The Netherlands"
}
@article{ipm:Philpott1,
author = "A. B. Philpott",
title = "Linear programming made simpler than simplex",
journal = "New Scientist",
year = "1984",
month = "December 6,",
pages = "20"
}
@techreport{ipm:Pickel1,
author = "P. F. Pickel",
title = "Approximate projections for the {Karmarkar} algorithm",
type = "Manuscript",
year = "1985",
institution = "Polytechnic Institute of New York",
address = "Farmingdale, NY, USA"
}
@techreport{ipm:Pickel2,
author = "P. F. Pickel",
title = "Implementing the {Karmarkar} algorithm using simplex techniques",
type = "{Talk held at the 12th International Symposium on Mathematical
Programming in Cambridge, MA, USA}",
year = "1985",
institution = "Polytechnic Institute of New York",
address = "Farmingdale, NY, USA"
}
@techreport{ipm:Pickel3,
author = "P. F. Pickel",
title = "Preliminary computational experience with approximate projections
in the {Karmarkar} algorithm",
type = "{Technical Report}",
year = "1986",
institution = "Polytechnic Institute of New York",
address = "Farmingdale, NY, USA"
}
@article{ipm:Plantenga1,
author = "T. Plantenga",
title = "A trust region method for nonlinear programming based on
primal interior--point techniques",
journal = "SIAM Journal on Scientific Computing",
volume = "20",
year = "1998",
pages = "282--305"
}
@article{ipm:Polak1,
author = "E. Polak and J. E. Higgins and D. Q. Mayne",
title = "A barrier function method for minimax problems",
journal = "Mathematical Programming",
volume = "54",
year = "1992",
pages = "155--176"
}
@incollection{ipm:Polak2,
author = "E. Polak and T. H. Yang and D. Q. Mayne",
title = "A method of centers based on barrier functions for solving optimal
control problems with continuum state and control constraints",
booktitle = "Proceedings of the 29th Conference on Decision and Control",
year = "1990",
month = "December",
pages = "2327--2332",
publisher = "IEEE Control Society"
}
@techreport{ipm:Polyak1,
author = "R. Polyak",
title = "Modified interior distance functions as augmented Lagrangians",
type = "{Talk held at the First International Symposium on Interior Point
Methods for Linear Programming\,: Theory and Practice, in Scheveningen, The
Netherlands}",
year = "1990",
month = "January",
institution = "Mathematical Sciences Department, IBM~T.~J.~Watson
Research Center",
address = "Yorktown Heights, NY~10598, USA"
}
@techreport{ipm:Polyak2,
author = "R. Polyak",
title = "Interior point methods, nonlinear and parallel optimization",
type = "{Talk held at the SIAM Annual Meeting in Chicago, IL, USA}",
year = "1990",
month = "July",
institution = "Mathematical Sciences Department, IBM~T.\,J.\,Watson
Research Center",
address = "Yorktown Heights, NY~10598, USA"
}
@article{ipm:Polyak3,
author = "R. Polyak",
title = "Modified barrier functions (theory and methods)",
journal = "Mathematical Programming",
volume = "54",
year = "1992",
pages = "177--222"
}
@techreport{ipm:Polyak4,
author = "R. Polyak",
title = "Modified barrier functions in linear programming",
type = "{Research Report}",
number = "17790~(78331)",
year = "1992",
institution = "Mathematical Sciences Department, IBM~T.\,J.\,Watson
Research Center",
address = "Yorktown Heights, NY~10598, USA"
}
@techreport{ipm:Polyak5,
author = "R. Polyak",
title = "The nonlinear rescaling principle in linear programming",
type = "{Technical Report}",
number = "RC~15030~(67093)",
year = "1989",
institution = "Mathematical Sciences Department, IBM~T.\,J.\,Watson
Research Center",
address = "Yorktown Heights, NY~10598, USA"
}
@article{ipm:Polyak6,
author = "R. Polyak",
title = "Modified barrier and center methods",
journal = "Reports from the Moscow Refusnik Seminar, Annals of the New York
Academy of Sciences",
volume = "491",
year = "1987",
pages = "194--196"
}
@techreport{ipm:Polyak7,
author = "R. Polyak and R. R. Schneur",
title = "Interior--exterior augmented {Lagrangian} approach for {LP}",
type = "{Talk held at the Fourth SIAM Conference on Optimization in Chicago,
IL, USA}",
year = "1992",
month = "May",
institution = "Mathematical Sciences Department, IBM~T.\,J.\,Watson
Research Center",
address = "Yorktown Heights, NY~10598, USA"
}
@techreport{ipm:Polyak8,
author = "R. Polyak",
title = "Modified interior distance functions and center methods",
type = "{Research Report}",
number = "17042~(75556)",
year = "1991",
institution = "IBM Research Division T.\,J.\,Watson Research Center",
address = "Yorktown Heights, NY~10598, USA"
}
@techreport{ipm:Polyak9,
author = "R. Polyak",
title = "Classical Lagrangians with properties of the augmented Lagrangians",
type = "{Talk held at the 12th International Symposium on Mathematical
Programming in Boston, MA, USA}",
year = "1985",
institution = "Mathematical Sciences Department, IBM~T.\,J.\,Watson
Research Center",
address = "Yorktown Heights, NY~10598, USA"
}
@techreport{ipm:Polyak10,
author = "R. Polyak",
title = "Monotone transformation in linear and nonlinear programming",
type = "{Talk held at the Summer Conference ''Mathematical Developments
Arising from Linear Programming'' in Bowdoin College, Brunswick, Maine,
USA}",
year = "1988",
month = "June",
institution = "Mathematical Sciences Department, IBM~T.\,J.\,Watson
Research Center",
address = "Yorktown Heights, NY~10598, USA"
}
@techreport{ipm:Polyak11,
author = "R. Polyak",
title = "Modified interior centers methods",
type = "{Talk held at the Third SIAM Conference on Optimization in Boston,
MA, USA}",
year = "1989",
month = "April",
institution = "Mathematical Sciences Department, IBM~T.\,J.\,Watson
Research Center",
address = "Yorktown Heights, NY~10598, USA"
}
@techreport{ipm:Polyak12,
author = "R. Polyak",
title = "Simultaneuos solution of the dual pair of nonlinear programming
problems based on the modified barrier function",
type = "{Talk held at the SIAM Annual Meeting in San Diego, CA, USA}",
year = "1989",
institution = "Mathematical Sciences Department, IBM~T.\,J.\,Watson
Research Center",
address = "Yorktown Heights, NY~10598, USA"
}
@techreport{ipm:Polyak13,
author = "R. Polyak",
title = "Nonlinear rescaling principle in constrained optimization",
type = "{Talk held at the International Congress of Mathematicians in
Kyoto, Japan}",
year = "1990",
institution = "Mathematical Sciences Department, IBM~T.\,J.\,Watson
Research Center",
address = "Yorktown Heights, NY~10598, USA"
}
@techreport{ipm:Polyak14,
author = "R. Polyak",
title = "Interior augmented Lagrangians",
type = "{Talk held at the 14th International Symposium on Mathematical
Programming in Amsterdam, The Netherlands}",
year = "1991",
month = "August",
institution = "Mathematical Sciences Department, IBM~T.\,J.\,Watson
Research Center",
address = "Yorktown Heights, NY~10598, USA"
}
@techreport{ipm:Polyak15,
author = "R. Polyak",
title = "Condition of the primal and dual linear programming problems",
type = "{Talk held at the International Workshop on Computational
Optimization in Haifa, Israel}",
year = "1992",
institution = "Mathematical Sciences Department, IBM~T.\,J.\,Watson
Research Center",
address = "Yorktown Heights, NY~10598, USA"
}
@incollection{ipm:Polyak16,
author = "R. Polyak",
title = "Newton modified barrier method in constrained optimization",
booktitle = "Proceedings of the Air Force/NASA Symposium on Recent
Advances in Multidisciplinary Analysis and Optimization, San Francisco,
1990",
year = "1990"
}
@techreport{ipm:Polyak17,
author = "R. Polyak",
title = "Modified barrier functions as augmented Lagrangians",
type = "{Technical Report}",
year = "1986",
institution = "Viniti",
address = "Moscow",
note = "(In Russian)"
}
@techreport{ipm:Polyak18,
author = "R. Polyak",
title = "Exterior and interior modified distance functions",
type = "{Technical Report}",
year = "1986",
institution = "Viniti",
address = "Moscow",
note = "(In Russian)"
}
@techreport{ipm:Polyak19,
author = "R. Polyak",
title = "Some problems of modern optimization theory and multipliers
methods",
type = "{Technical Report}",
year = "1985",
institution = "Znania",
address = "Kiev",
note = "(In Russian)"
}
@incollection{ipm:Polyak20,
author = "R. Polyak",
title = "Modified interior distance functions",
booktitle = "Optimzation Methods in Partial Differential Equations
(Proceedings from the 1996 Joint Summer Research Conference, South Hadley,
MA, USA, June 1996)",
series = "Contemporary Mathematics",
volume = "209",
year = "1997",
pages = "183--209",
editor = "S. Cox et al.",
publisher = "American Mathematical Society",
address = "Providence, RI, USA"
}
@phdthesis{ipm:Ponceleon1,
author = "D. B. Poncele{\'o}n",
title = "Barrier methods for large--scale quadratic programming",
year = "1990",
school = "Computer Science Department, Stanford University",
address = "Stanford, CA~94305, USA"
}
@techreport{ipm:Ponceleon2,
author = "D. B. Poncele{\'o}n",
title = "Barrier methods for large--scale quadratic programming",
type = "{Technical Report}",
number = "SOL~91--2",
year = "1991",
month = "June",
institution = "Systems Optimization Laboratory, Department of
Operations Research, Stanford University",
address = "Stanford, CA~94305, USA"
}
@techreport{ipm:Ponnambalam1,
author = "K. Ponnambalam",
title = "Large scale nonlinear programming using interior point and
successive linear programming methods",
type = "{Talk held at the SIAM Annual Meeting in Chicago, IL, USA}",
year = "1990",
month = "July",
institution = "Faculty of Engineering, Department of Electrical
Engineering, University of Waterloo",
address = "Waterloo, Ontario~N2L~3G1, Canada"
}
@techreport{ipm:Ponnambalam2,
author = "K. Ponnambalam and A. Vannelli",
title = "New starting and stopping steps for the dual affine variant
of {Karmarkar's} method",
type = "{Technical Report}",
year = "1988",
institution = "Faculty of Engineering, Department of Electrical
Engineering, University of Waterloo",
address = "Waterloo, Ontario~N2L~3G1, Canada"
}
@techreport{ipm:Ponnambalam3,
author = "K. Ponnambalam and A. Vannelli",
title = "An inexpensive basis recovery procedure for {Karmarkar's} dual
affine method",
type = "{Technical Report}",
year = "1989",
institution = "Faculty of Engineering, Department of Electrical
Engineering, University of Waterloo",
address = "Waterloo, Ontario~N2L~3G1, Canada"
}
@article{ipm:Ponnambalam4,
author = "K. Ponnambalam and A. Vannelli and T. E. Unny",
title = "An application of {Karmarkar's} interior point linear
programming algorithm for multi--reservoir operations optimization",
journal = "Stochastic Hydrology and Hydraulics",
volume= "3",
year = "1992",
pages = "17--29"
}
@techreport{ipm:Ponnambalam5,
author = "K. Ponnambalam",
title = "An interior point algorithm for large scale nonlinear programming",
type = "{Talk held at the Symposium APMOD\,'91---Applied Mathematical
Programming and Modelling, Brunel University, London, United Kingdom}",
year = "1991",
month = "January",
institution = "Faculty of Engineering, Department of Electrical
Engineering, University of Waterloo",
address = "Waterloo, Ontario~N2L~3G1, Canada"
}
@incollection{ipm:Ponnambalam6,
author = "K. Ponnambalam and S. Seetharaman and T. Alguindigue",
title = "Affine algorithms for {$L$}--minimization",
booktitle = "Proceedings of the Sixth Multidimensional Signal
Processing Workshop held in Pacific Grove, CA, USA,
September 1989",
year = "1989",
pages = "115",
publisher = "IEEE",
address = "New York, NY, USA"
}
@article{ipm:Ponnambalam7,
author = "K. Ponnambalam and A. Vannelli and S. Woo",
title = "An interior point method implementation for solving large
planning problems in the oil refinery industry",
journal = "Canadian Journal of Chemical Engineering",
volume = "70",
year = "1992",
pages = "368--374"
}
@incollection{ipm:Ponnambalam8,
author = "K. Ponnambalam and A. Vannelli and E. A. McBean and T. E. Unny",
title = "Solving large--scale electric energy production planning
and pollution control problems with {Karmarkar} algorithms",
booktitle = "Proceedings of the Workshop on Resource Planning Under
Uncertainty for Electric Power Systems held at Stanford University, January
1989",
editor = "G. B. Dantzig and P. Glynn",
year = "1989",
pages = "179--196"
}
@incollection{ipm:Ponnambalam9,
author = "K. Ponnambalam and A. Vannelli",
title = "Forcing a vertex optimal solution in interior point methods
using an auxiliary function",
booktitle = "Symposium on Applied Mathematical Programming and Modeling
(APMOD\,'93), Budapest, Hungary, January 1993, Volume of Extended Abstracts",
editor = "I. Maros",
year = "1992",
month = "December",
pages = "463--470",
publisher = "Computer and Automation Institute, Hungarian Academy of
Sciences",
address = "Budapest, Hungary"
}
@techreport{ipm:Ponnambalam10,
author = "K. Ponnambalam",
title = "An interior point algorithm for large scale nonlinear programming",
type = "{Technical Report}",
year = "1992",
institution = "Department of Systems Design Engineering, University of
Waterloo",
address = "Waterloo, Ontario~N2L~3G1, Canada"
}
@article{ipm:Ponnambalam11,
author = "K. Ponnambalam and V. H. Quintana and A. Vannelli",
title = "A fast algorithm for power system optimization problems using an
interior point method",
journal = "IEEE Transactions on Power Systems",
volume = "7",
year = "1992",
pages = "892--899"
}
@techreport{ipm:Poore1,
author = "A. B. Poore and D. Soria",
title = "Continuation algorithms for linear programming",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in New
Orleans, USA}",
year = "1987",
month = "May",
institution = "Department of Mathematics, Colorado State University",
address = "Fort Collins, CO~80253, USA"
}
@techreport{ipm:Portnoy1,
author = "S. Portnoy and R. Koenker",
title = "The {Gaussian Hare} and the {Laplacian Tortoise}\,:
{Computability} of squared--error vs. absolute--error estimates",
type = "{Technical Report}",
year = "1997",
month = "March",
institution = "Department of Statistics, University of Illinois at
Urbana--Champaign",
address = "Urbana, Il~61820, USA"
}
@techreport{ipm:Potra1,
author = "F. A. Potra and Y. Ye",
title = "Interior point methods for nonlinear complementarity problems",
type = "{Reports on Computational Mathematics}",
number = "15",
year = "1991",
month = "July",
institution = "Department of Mathematics, The University of Iowa",
address = "Iowa City, IA~52242, USA"
}
@incollection{ipm:Potra2,
author = "F. A. Potra",
title = "Implementation of interior point methods on parallel and
vector machines",
booktitle = "Operations Research '91 (Extended Abstracts of the
16th Symposium on Operations Research held at the University of
Trier, Germany, September 1991)",
editor = "P. Gritzmann and R. Hettich and R. Horst and E. Sachs",
year = "1992",
pages = "179--181",
publisher = "Springer Verlag",
address = "Berlin, Germany"
}
@techreport{ipm:Potra3,
author = "F. A. Potra and R. A. Tapia and Y. Zhang",
title = "An interior--point method for linear complementarity problems with
polynomial complexity and superlinear convergence",
type = "{Technical Report}",
number = "TR~91--23",
year = "1991",
institution = "Department of Mathematical Sciences, Rice University",
address = "Houston, TX~77251, USA"
}
@techreport{ipm:Potra4,
author = "F. A. Potra",
title = "Polynomial complexity versus fast local convergence for
interior point methods",
type = "{Talk held at the Fourth SIAM Conference on Optimization in
Chicago, IL, USA}",
year = "1992",
month = "May",
institution = "Department of Management Sciences, The University of
Iowa",
address = "Iowa City, IA~52242, USA"
}
@techreport{ipm:Potra5,
author = "F. A. Potra and Y. Ye",
title = "An interior--point algorithm for solving entropy optimization
problems with globally linear and locally quadratic convergence",
type = "{Working Paper}",
number = "90--10",
year = "1990",
institution = "Department of Management Sciences, The University of Iowa",
address = "Iowa City, IA~52242, USA",
note = "See also Potra and Ye\,\cite{ipm:Potra10}"
}
@article{ipm:Potra6,
author = "F. A. Potra",
title = "An infeasible interior--point predictor--corrector algorithm for
linear programming",
journal = "SIAM Journal on Optimization",
volume = "6",
year = "1996",
pages = "19--32"
}
@techreport{ipm:Potra7,
author = "F. A. Potra",
title = "A quadratically convergent infeasible interior--point algorithm
for linear programming",
type = "{Reports on Computational Mathematics}",
number = "28",
year = "1992",
month = "July",
institution = "Department of Mathematics, The University of Iowa",
address = "Iowa City, IA~52242, USA",
note = "See also Potra \cite{ipm:Potra11}, which is a combined version
of this entry and Potra \cite{ipm:Potra8}"
}
@techreport{ipm:Potra8,
author = "F. A. Potra",
title = "On a predictor--corrector method for solving linear programs from
infeasible starting points",
type = "{Reports on Computational Mathematics}",
number = "34",
year = "1992",
month = "October",
institution = "Department of Mathematics, The University of Iowa",
address = "Iowa City, IA~52242, USA",
note = "See also Potra \cite{ipm:Potra11}, which is a combined version
of Potra \cite{ipm:Potra7} and this entry"
}
@techreport{ipm:Potra9,
author = "F. A. Potra and Y. Shi",
title = "On an efficient interior point method for solving entropy
optimization problems",
type = "{Reports on Computational Mathematics}",
number = "23",
year = "1991",
month = "December",
institution = "Department of Mathematics, The University of Iowa",
address = "Iowa City, IA~52242, USA"
}
@article{ipm:Potra10,
author = "F. A. Potra and Y. Ye",
title = "A quadratically convergent polynomial algorithm for solving
entropy optimization problems",
journal = "SIAM Journal on Optimization",
volume = "3",
year = "1993",
pages = "843--860",
note = "See also Potra and Ye\,\cite{ipm:Potra5}"
}
@article{ipm:Potra11,
author = "F. A. Potra",
title = "A quadratically convergent predictor--corrector method for solving
linear programs from infeasible starting points",
journal = "Mathematical Programming",
volume = "67",
year = "1994",
pages = "383--406",
note = "This is a combined version of Potra \cite{ipm:Potra7,ipm:Potra8}"
}
@techreport{ipm:Potra12,
author = "F. A. Potra and J. F. Bonnans",
title = "Infeasible path following algorithms for linear complementarity
problems",
type = "{INRIA Research Report}",
number = "RR--2445",
year = "1994",
month = "December",
institution = "Institute National de Recherche en Informatique et
Automatique (INRIA)",
address = "F--78153~Roquencourt, France",
note = "To appear in {\em Mathematics of Operations Research}. See also
Bonnans and Potra \cite{ipm:Bonnans6}"
}
@article{ipm:Potra13,
author = "F. A. Potra and R. Sheng",
title = "A large--step infeasible--interior--point method for the
{$P_{*}$}--matrix {LCP}",
journal = "SIAM Journal on Optimization",
volume = "7",
year = "1997",
pages = "318--335"
}
@article{ipm:Potra14,
author = "F. A. Potra",
title = "An {$O(n\,L)$} infeasible--interior--point algorithm for
{LCP} with quadratic convergence",
journal = "Annals of Operations Research",
volume = "62",
year = "1996",
pages = "81--102"
}
@techreport{ipm:Potra15,
author = "F. A. Potra and R. Sheng",
title = "A path--following method for {LCP} with superlinearly
convergent iteration sequence",
type = "{Reports on Computational Mathematics}",
number = "69",
year = "1995",
month = "April",
institution = "Department of Mathematics, The University of Iowa",
address = "Iowa City, IA~52242, USA"
}
@article{ipm:Potra16,
author = "F. A. Potra and R. Sheng",
title = "A superlinearly convergent primal--dual
infeasible--interior--point algorithm for semidefinite programming",
journal = "SIAM Journal on Optimization",
volume = "8",
year = "1998",
pages = "1007--1028"
}
@techreport{ipm:Potra17,
author = "F. A. Potra and R. Sheng",
title = "Homogeneous interior--point algorithms for semidefinite
programming",
type = "{Reports on Computational Mathematics}",
number = "82",
year = "1995",
month = "November",
institution = "Department of Mathematics, The University of Iowa",
address = "Iowa City, IA~52242, USA"
}
@techreport{ipm:Potra18,
author = "F. A. Potra and R. Sheng",
title = "Superlinear convergence of interior--point algorithms for
semidefinite programming",
type = "{Reports on Computational Mathematics}",
number = "86",
year = "1996",
month = "April",
institution = "Department of Mathematics, The University of Iowa",
address = "Iowa City, IA~52242, USA"
}
@article{ipm:Potra19,
author = "F. A. Potra and R. Sheng",
title = "Predictor--corrector algorithms for solving
$P_{*}(\kappa)$--matrix {LCP} from arbitrary positive starting points",
journal = "Mathematical Programming",
volume = "76",
year = "1997",
pages = "223--244"
}
@techreport{ipm:Potra20,
author = "F. A. Potra and R. Sheng and N. Brixius",
title = "{SDPHA\,: A MATLAB} implementation of homogeneous interior--point
algorithms for semidefinite programming",
type = "{Reports on Computational Mathematics}",
number = "100",
year = "1997",
month = "April",
institution = "Department of Mathematics, The University of Iowa",
address = "Iowa City, IA~52242, USA"
}
@techreport{ipm:Potra21,
author = "F. A. Potra and R. Sheng",
title = "Superlinear convergence of a predictor--corrector method for
semidefinite programming without central path neighborhood",
type = "{Reports on Computational Mathematics}",
number = "91",
year = "1996",
month = "August",
institution = "Department of Mathematics, The University of Iowa",
address = "Iowa City, IA~52242, USA"
}
@article{ipm:Potra22,
author = "F. A. Potra and R. Sheng",
title = "Superlinearly convergent infeasible--interior--point algorithm
for degenerate {LCP}",
journal = "Journal of Optimization Theory and Applications",
volume = "97",
year = "1998",
pages = "249--269"
}
@article{ipm:Potra23,
author = "F. A. Potra and R. Sheng",
title = "On homogeneous interior--point algorithms for semidefinite
programming",
journal = "Optimization Methods and Software",
volume = "9",
year = "1998",
pages = "161--184"
}
@article{ipm:Portugal1,
author = "L. F. Portugal and J. J. J{\'u}dice and L. Vicente",
title = "A comparison of block pivoting and interior--point algorithms
for linear least squares problems with nonnegative variables",
journal = "Mathematics of Computation",
volume = "63",
year = "1994",
pages = "625--643"
}
@techreport{ipm:Portugal2,
author = "L. F. Portugal and M. G. C. Resende and G. Veiga and
J. J. J{\'u}dice",
title = "A truncated primal--infeasible dual--feasible network
interior point method",
type = "{Technical Report}",
year = "1994",
institution = "Mathematical Sciences Research Center, AT~\&~T
Bell Laboratories",
address = "Murray Hill, NJ~07974--0636, USA",
note = "Revised August 1996"
}
@article{ipm:Portugal3,
author = "L. F. Portugal and F. Bastos and J. J. J{\'u}dice
and J. Paix{\~a}o and T. Terlaky",
title = "An investigation of interior point algorithms for the linear
transportation problem",
journal = "SIAM Journal on Scientific Computing",
volume = "17",
year = "1996",
pages = "1202--1223"
}
@techreport{ipm:Portugal4,
author = "L. F. Portugal and J. J. J{\'u}dice",
title = "A hybrid algorithm for the solution of a single commodity spatial
equilibrium model",
type = "{Technical Report}",
year = "1994",
institution = "Department of Mathematics, University of Coimbra",
address = "Coimbra, Portugal"
}
@incollection{ipm:Portugal5,
author = "L. F. Portugal and L. Fernandes and J. J. J{\'u}dice",
title = "A truncated {Newton} interior--point algorithm for the solution
of a multicommodity spatial equilibrium model",
booktitle = "Complementarity and Variational Problems\,:
State--of--the--Art (Baltimore 1995)",
editor = "M. C. Ferris and J.--S. Pang",
year = "1997",
pages = "315--344",
publisher = "SIAM Publications",
address = "Philadelphia, PA, USA"
}
@techreport{ipm:Powell1,
author = "M. J. D. Powell",
title = "Is {Karmarkar's} method suitable for semi--infinite
programming\,?",
type = "{Talk held at the Symposium APMOD\,'91---Applied Mathematical
Programming and Modelling, Brunel University, London, United Kingdom}",
year = "1991",
month = "January",
institution = "Department of Applied Mathematics and Theoretical
Physics, University of Cambridge",
address = "Silver Street, Cambridge~CB3~9EW, United Kingdom",
note = "There is no underlying report"
}
@article{ipm:Powell2,
author = "M. J. D. Powell",
title = "Karmarkar's algorithm\,: {A} view from nonlinear programming",
journal = "Bulletin of the Institute of Mathematics and Its Applications",
volume = "26",
number = "8--9",
year = "1990",
pages = "165--181"
}
@incollection{ipm:Powell3,
author = "M. J. D. Powell",
title = "The complexity of {Karmarkar's} algorithm for linear programming",
booktitle = "Numerical Analysis 1991",
editor = "D. F. Griffiths and G. A. Watson",
year = "1992",
pages = "142--163",
series = "Pitman Research Notes in Mathematics",
volume = "260",
publisher = "Longman",
address = "Burnt Hill, Harlow, Essex, United Kingdom"
}
@article{ipm:Powell4,
author = "M. J. D. Powell",
title = "On the number of iterations of {Karmarkar's} algorithm for linear
programming",
journal = "Mathematical Programming",
volume = "62",
year = "1993",
pages = "153--197"
}
@incollection{ipm:Powell5,
author = "M. J. D. Powell",
title = "Interior point methods for semi--infinite programming
calculations",
booktitle = "Optimization\,: Techniques and Applications, Vol.\,1
(Proceedings of the International Conference (ICOTA) held in Singapore
1992)",
editor = "K. H. Phua and C. M. Wang and W. Y. Yeong and T. Y. Leong and
H. T. Loh and K. C. Tan and F. S. Chou",
year = "1992",
pages = "3--5",
publisher = "World Science Publishing",
address = "River Edge, NJ, USA"
}
@techreport{ipm:Powell6,
author = "M. J. D. Powell",
title = "Some convergence properties of the shifted log barrier method for
linear programming",
type = "{Technical Report}",
number = "DAMTP~1992/NA7",
year = "1992",
month = "November",
institution = "Department of Applied Mathematics and Theoretical
Physics, University of Cambridge",
address = "Silver Street, Cambridge~CB3~9EW, United Kingdom",
note = "Revised January 1994. See also Powell \cite{ipm:Powell8}"
}
@incollection{ipm:Powell7,
author = "M. J. D. Powell",
title = "Log barrier methods for semi--infinite programming calculations",
booktitle = "Advances on Computer Mathematics and Its Applications",
editor = "E. A. Lipitakis",
year = "1993",
pages = "1--21",
publisher = "World Scientific",
address = "Singapore",
note = "See also Powell \cite{ipm:Powell9}"
}
@article{ipm:Powell8,
author = "M. J. D. Powell",
title = "Some convergence properties of the modified log barrier method for
linear programming",
journal = "SIAM Journal on Optimization",
volume = "5",
year = "1995",
pages = "695--739",
note = "See also Powell \cite{ipm:Powell6}"
}
@incollection{ipm:Powell9,
author = "M. J. Powell",
title = "Log barrier methods for semi--infinite programming calculations",
booktitle = "Hellenic Research in Mathematics and Informatics\,'92",
year = "1992",
pages = "23--43",
publisher = "Hellenic Mathematical Society",
address = "Athens, Greece",
note = "See also Powell \cite{ipm:Powell7}"
}
@techreport{ipm:Puthenpura1,
author = "S. Puthenpura and R. Saigal and L. P. Sinha",
title = "Application of the {LQ} factorization in implementing the
{Karmarkar} algorithm and its variants",
type = "{Technical Memorandum}",
number = "51173--900205--01TM",
year = "1990",
institution = "AT \& T Bell Laboratories"
}
@article{ipm:Puthenpura2,
author = "S. Puthenpura and L. Sinha and S.--C. Fang and R. Saigal",
title = "Solving stochastic programming problems via {Kalman} filter
and affine scaling",
journal = "European Journal of Operational Research",
volume = "83",
year = "1995",
pages = "503--513"
}
@article{ipm:Puzanova1,
author = "E. A. Puzanova",
title = "Allowance for error in computer computations in the {Karmarkar}
method",
journal = "Optimizatsiya",
volume = "46",
number = "63",
year = "1989",
pages = "51--67",
note = "(In Russian)"
}
@techreport{ipm:Qi1,
author = "L. Qi and J. Sun",
title = "A nonsmooth version of {Newton's} method and an interior point
algorithm for convex programming",
type = "{Technical Report}",
number = "90--01",
year = "1990",
institution = "Department of Industrial Engineering and Management
Science, Northwestern University",
address = "Evanston, IL~60208, USA"
}
@article{ipm:Qi2,
author = "R.--J. Qi and S. A. Zenios",
title = "On the scalability of data--parallel decomposition algorithms
for stochastic programming",
journal = "Journal of Parallel and Distributed Computing",
volume = "22",
year = "1994",
pages = "565--570"
}
@mastersthesis{ipm:Qualm1,
author = "M. J. Qualm",
title = "Interior point methods and integer programming problems",
year = "1993",
school = "Faculty of Technical Mathematics and Informatics, TU Delft",
address = "NL--2628~CD~Delft, The Netherlands"
}
@article{ipm:Quintana1,
author = "V. H. Quintana and A. Vannelli and K. Ponnambalam",
title = "A fast dual affine implementation for power optimization",
journal = "IEEE Transactions on Power Systems",
volume = "7",
year = "1992",
pages = "892--899"
}
@incollection{ipm:Radosavljevic1,
author = "M. D. Radosavljevi{\'c}--Nicoli{\'c}",
title = "Asymptotic behavior of the affine scaling variant of
{Karmarkar's} algorithm for linear programming",
booktitle = "Proceedings of the XX--th Conference 'Mathematical
Optimization', Humboldt Universit{\"a}t Berlin, East--Germany",
year = "1990"
}
@techreport{ipm:Rajan1,
author = "A. Rajan",
title = "An empirical comparison of {KORBX} against {RELAXT}, a special
code for network flow problems",
type = "{Technical Report}",
number = "",
year = "1989",
month = "",
institution = "AT\&T Bell Laboratories",
address = "Holmdel, NJ~07733, USA"
}
@article{ipm:Quist1,
author = "A. J. Quist and {E. de} Klerk and C. Roos and T. Terlaky",
title = "Copositive relaxation for general quadratic programming",
journal = "Optimization Methods and Software",
volume = "9",
year = "1998",
pages = "185--208"
}
@article{ipm:Rajasekera1,
author = "J. R. Rajasekera and S.--C. Fang",
title = "On the convex programming approach to linear programming",
journal = "Operations Research Letters",
volume = "10",
year = "1991",
pages = "309--312"
}
@article{ipm:Rajasekera2,
author = "J. R. Rajasekera and S.--C. Fang",
title = "Deriving an unconstrained convex program for linear programming",
journal = "Journal of Optimization Theory and Applications",
volume = "75",
number = "3",
year = "1992",
pages = "603--612"
}
@techreport{ipm:Ralph1,
author = "D. Ralph",
title = "An affine--scaling, nonsmooth {Newton} hybrid method for
constrained optimization",
type = "{Talk held at the Fourth SIAM Conference on Optimization in Chicago,
IL, USA}",
year = "1992",
month = "May",
institution = "School of Operations Research and Industrial Engineering,
Cornell University",
address = "Ithaca, NY~14853--3801, USA"
}
@incollection{ipm:Ralph2,
author = "D. Ralph and S. J. Wright",
title = "Superlinear convergence of an interior--point method for monotone
variational inequalities",
booktitle = "Complementarity and Variational Problems\,:
State--of--the--Art (Baltimore 1995)",
editor = "M. C. Ferris and J.--S. Pang",
year = "1997",
pages = "345--385",
publisher = "SIAM Publications",
address = "Philadelphia, PA, USA"
}
@incollection{ipm:Ramakrishnan1,
author = "K. G. Ramakrishnan and N. K. Karmarkar and A. P. Kamath",
title = "An approximate dual projective algorithm for solving assignment
problems",
booktitle = "Network Flows and Matching\,: First DIMACS Implementation
Challenge",
editor = "D. S. Johnson and C. C. McGeogh",
year = "1993",
pages = "431--451",
series = "DIMACS Series on Discrete Mathenatics and Theoretical Computer
Science",
volume = "12",
publisher = "American Mathematical Society",
address = "Providence, Rhode Island~02940, USA"
}
@incollection{ipm:Ramakrishnan2,
author = "K. G. Ramakrishnan and M. G. C. Resende and P. M. Pardalos",
title = "A branch and bound algorithm for the quadratic assignment problem
using a lower bound based on linear programming",
booktitle = "State--of--the--Art in Global Optimization\,: Computational
Methods and Applications",
editor = "C. A. Floudas and P. M. Pardalos",
year = "1996",
pages = "57--73",
series = "Nonconvex Optimization and Its Applications",
volume = "7",
publisher = "Kluwer Academic Publishers",
address = "Dordrecht, The Netherlands"
}
@incollection{ipm:Ramana1,
author = "M. V. Ramana and P. M. Pardalos",
title = "Semidefinite programming",
booktitle = "Interior Point Methods of Mathematical Programming",
editor = "T. Terlaky",
year = "1996",
pages = "369--398",
series = "Applied Optimization",
volume = "5",
publisher = "Kluer Academic Publishers",
address = "Dordrecht, The Netherlands"
}
@article{ipm:Ramana2,
author = "M. V. Ramana and L. Tun{\c c}el and H. Wolkowicz",
title = "Strong duality for semidefinite programming",
journal = "SIAM Journal on Optimization",
volume = "7",
year = "1997",
pages = "641--662"
}
@techreport{ipm:Ramaswamy1,
author = "S. Ramaswamy and J. E. Mitchell",
title = "On updating the analytic center after addition of multiple
cuts",
type = "{DSES Technical Report}",
number = "37--94--423",
year = "1994",
month = "October",
institution = "Department of Decision Sciences and Engineering Systems,
Rensselaer Polytechninc Institute",
address = "Troy, NY~12180, USA"
}
@techreport{ipm:Ramaswamy2,
author = "S. Ramaswamy and J. E. Mitchell",
title = "A long step cutting plane algorithm that uses the volumetric
barrier",
type = "{DSES Technical Report}",
year = "1995",
month = "June",
institution = "Department of Decision Sciences and Engineering Systems,
Rensselaer Polytechninc Institute",
address = "Troy, NY~12180, USA"
}
@article{ipm:Rao1,
author = "C. V. Rao and S. J. Wright and J. B. Rawling",
title = "Application of interior--point methods to model predictive
control",
journal = "Journal of Optimization Theory and Applications",
volume = "99",
year = "1998",
pages = "723--757"
}
@article{ipm:Rapcsak1,
author = "T. Rapcs{\'a}k and T. T. Thang",
title = "A class of polynomial variable metric algorithms for linear
optimization",
journal = "Mathematical Programming",
volume = "74",
year = "1996",
pages = "319--331"
}
@techreport{ipm:Rendl1,
author = "F. Rendl and R. J. Vanderbei and H. Wolkowicz",
title = "Interior--point methods for max--min eigenvalue problems",
type = "{Technical Report}",
number = "SOR--93--15",
year = "1993",
month = "July",
institution = "Program in Statistics \& Operations Research, Department
of Civil Engineering and Operations Research, Princeton University",
address = "Princeton, NJ~08544, USA",
note ="Also available as {\em Technical Report CORR\,93--20, Department
of Combinatorics and Optimization, Faculty of Mathematics, University of
Waterloo, Waterloo, Ontario, Canada}"
}
@article{ipm:Rendl2,
author = "F. Rendl and R. J. Vanderbei and H. Wolkowicz",
title = "Max--min eigenvalue problems, primal--dual interior point
algorithms, and trust region subproblems",
journal = "Optimization Methods and Software",
volume = "5",
year = "1995",
pages = "1--16"
}
@techreport{ipm:Rendl3,
author = "F. Rendl and C. Helmberg",
title = "Solving quadratic (0,\,1)--problems by semidefinite programs and
cutting planes",
type = "{Preprint}",
number = "SC--95--35",
year = "1995",
institution = "Konrad--Zuse--Zentrum f{\"u}r Informationstechnik Berlin",
address = "Berlin, Germany"
}
@techreport{ipm:Rendl4,
author = "F. Rendl and R. J. Vanderbei and H. Wolkowicz",
title = "A primal--dual interior--point method for the max--min eigenvalue
problem",
type = "{Technical Report}",
year = "1993",
institution = " Department of Combinatorics and Optimization, Faculty of
Mathematics, University of Waterloo",
address = "Waterloo, Ontario, Canada"
}
@article{ipm:Renegar1,
author = "J. Renegar",
title = "A polynomial--time algorithm, based on {N}ewton's method, for
linear programming",
journal = "Mathematical Programming",
volume = "40",
year = "1988",
pages = "59--93"
}
@techreport{ipm:Renegar2,
author = "J. Renegar",
title = "Path--following methods in linear programming",
type = "{Technical Report}",
year = "1988",
institution = "School of Operations Research and Industrial Engineering,
Cornell University",
address = "Ithaca, NY~14853--3801, USA"
}
@techreport{ipm:Renegar3,
author = "J. Renegar and M. Shub",
title = "Simplified complexity analysis for {Newton LP} methods",
type = "{Technical Report}",
number = "807",
year = "1988",
institution = "School of Operations Research and Industrial Engineering,
Cornell University",
address = "Ithaca, NY~14853--3801, USA"
}
@article{ipm:Renegar4,
author = "J. Renegar and M. Shub",
title = "Unified complexity analysis for {Newton LP} methods",
journal = "Mathematical Programming",
volume = "53",
year = "1992",
pages = "1--16"
}
@incollection{ipm:Renegar5,
author = "J. Renegar",
title = "Computational complexity of solving real algebraic formulae",
booktitle = "Proceedings of the International Congress of Mathematicians,
Kyoto, Japan, 1990",
editor = "I. Satake",
year = "1991",
pages = "1595--1606",
publisher = "Springer Verlag",
address = "Berlin, Germany"
}
@techreport{ipm:Renegar6,
author = "J. Renegar",
title = "Notes on the efficiency of the barrier method",
type = "{Technical Report}",
number = "1039",
year = "1993",
month = "January",
institution = "School of Operations Research and Industrial Engineering,
Cornell University",
address = "Ithaca, NY~14853--3801, USA"
}
@article{ipm:Renegar7,
author = "J. Renegar",
title = "Linear programming, complexity theory and elementary functional
analysis",
journal = "Mathematical Programming",
volume = "70",
year = "1995",
pages = "279--351"
}
@article{ipm:Renegar8,
author = "J. Renegar",
title = "Condition numbers, the barrier method, and the
conjugate--gradient method",
journal = "SIAM Journal on Optimization",
volume = "6",
year = "1996",
pages = "879--912"
}
@techreport{ipm:Resende1,
author = "M. G. C. Resende",
title = "A generalized quadratic form potential for an interior point
algorithm for integer programming",
type = "{Talk held at the SIAM Annual Meeting in Chicago, IL, USA}",
year = "1990",
month = "July",
institution = "Mathematical Sciences Research Center, AT~\&~T~Bell
Laboratories",
address = "Murray Hill, NJ~07974--0636, USA"
}
@techreport{ipm:Resende2,
author = "M. G. C. Resende and G. Veiga",
title = "An implementation of the dual affine scaling algorithm for network
flow problems",
type = "{Talk held at the SIAM Annual Meeting in Chicago, IL, USA}",
year = "1990",
month = "July",
institution = "Mathematical Sciences Research Center, AT~\&~T Bell
Laboratories",
address = "Murray Hill, NJ~07974--0636, USA"
}
@article{ipm:Resende3,
author = "M. G. C. Resende and M. H. Wright",
title = "Sixty--six attend interior methods workshop at {A}silomar",
journal = "SIAM News",
volume = "23",
number = "3",
year = "1990",
month = "May",
pages = "9"
}
@techreport{ipm:Resende4,
author = "M. G. C. Resende and G. Veiga",
title = "A dual affine scaling algorithm for network flows",
type = "{Talk held at the TIMS/SOBRAPO Joint International Meeting in Rio de
Janeiro, Brazil}",
year = "1991",
month = "July",
institution = "Mathematical Sciences Research Center, AT~\&~T Bell
Laboratories",
address = "Murray Hill, NJ~07974--0636, USA"
}
@techreport{ipm:Resende5,
author = "M. G. C. Resende and N. K. Karmarkar and A. P. Kamath and
K. G. Ramakrishnan",
title = "An interior point approach to graph partitioning",
type = "{Talk held at the TIMS/SOBRAPO Joint International Meeting in Rio de
Janeiro, Brazil}",
year = "1991",
month = "July",
institution = "Mathematical Sciences Research Center, AT~\&~T Bell
Laboratories",
address = "Murray Hill, NJ~07974--0636, USA"
}
@techreport{ipm:Resende6,
author = "M. G. C. Resende and G. Veiga and I. Adler",
title = "Experimentation with interior point implementations",
type = "{Talk held at the TIMS/SOBRAPO Joint International Meeting in Rio de
Janeiro, Brazil}",
year = "1991",
month = "July",
institution = "Mathematical Sciences Research Center, AT~\&~T Bell
Laboratories",
address = "Murray Hill, NJ~07974--0636, USA"
}
@techreport{ipm:Resende7,
author = "M. G. C. Resende and G. Veiga",
title = "A dual affine scaling algorithm for minimum cost network flow
problems",
type = "{Technical Report}",
number = "1.3",
year = "1990",
month = "November",
institution = "Mathematical Sciences Research Center, AT~\&~T Bell
Laboratories",
address = "Murray Hill, NJ~07974--0636, USA",
note = "Revised February 1991"
}
@techreport{ipm:Resende8,
author = "M. G. C. Resende and G. Veiga",
title = "Computational investigation of an interior point linear programming
algorithm for minimum cost network flow",
type = "{Technical Report}",
number = "1.0",
year = "1991",
month = "August",
institution = "Mathematical Sciences Research Center, AT~\&~T Bell
Laboratories",
address = "Murray Hill, NJ~07974--0636, USA"
}
@techreport{ipm:Resende9,
author = "M. G. C. Resende and A. P. Kamath and N. K. Karmarkar and
K. G. Ramakrishnan",
title = "Mathematical programming approach to inductive inference",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Anaheim, CA,
USA}",
year = "1991",
month = "November",
institution = "Mathematical Sciences Research Center, AT~\&~T Bell
Laboratories",
address = "Murray Hill, NJ~07974--0636, USA",
note = "See also Kamath et al. \cite{ipm:Kamath4}"
}
@techreport{ipm:Resende10,
author = "M. G. C. Resende and G. Veiga",
title = "Fast solution of network flow problems with a network interior
point code",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Orlando, FL,
USA}",
year = "1992",
month = "April",
institution = "Mathematical Sciences Research Center, AT~\&~T Bell
Laboratories",
address = "Murray Hill, NJ~07974--0636, USA"
}
@techreport{ipm:Resende11,
author = "M. G. C. Resende and A. P. Kamath and N. K. Karmarkar and
K. G. Ramakrishnan",
title = "An interior point approach to boolean vector function",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Orlando, FL,
USA}",
year = "1992",
month = "April",
institution = "Mathematical Sciences Research Center, AT~\&~T Bell
Laboratories",
address = "Murray Hill, NJ~07974--0636, USA",
note = "See also Kamath et al.\,\cite{ipm:Kamath5}"
}
@techreport{ipm:Resende12,
author = "M. G. C. Resende and G. Veiga",
title = "An efficient implementation of a network interior point method",
type = "{Technical Report}",
year = "1992",
month = "February",
institution = "Mathematical Sciences Research Center, AT~\&~T Bell
Laboratories",
address = "Murray Hill, NJ~07974--0636, USA",
note = "Revised March 1992. Revised version 2.0 August 1992. See also
Resende and Veiga \cite{ipm:Resende16}"
}
@article{ipm:Resende13,
author = "M. G. C. Resende and G. Veiga",
title = "An implementation of the dual affine scaling algorithm for
minimum cost flow on bipartite uncapacitated networks",
journal = "SIAM Journal on Optimization",
volume = "3",
year = "1993",
pages = "516--537"
}
@techreport{ipm:Resende14,
author = "M. G. C. Resende and G. Veiga",
title = "Computational study of two implementations of the dual affine
scaling algorithm",
type = "{Technical Report}",
year = "1992",
month = "January",
institution = "Mathematical Sciences Research Center, AT~\&~T Bell
Laboratories",
address = "Murray Hill, NJ~07974--0636, USA"
}
@incollection{ipm:Resende15,
author = "M. G. C. Resende and T. Tsuchiya and G. Veiga",
title = "Identifying the optimal face of a network linear program with a
globally convergent interior point method",
booktitle = "Large--Scale Optimization\,: The State--of--the --Art",
editor = "W. W. Hager and D. W. Hearn and P. M. Pardalos",
year = "1994",
pages = "362--387",
publisher = "Kluwer Academic Publishers",
address = "Dordrecht, The Netherlands"
}
@incollection{ipm:Resende16,
author = "M. G. C. Resende and G. Veiga",
title = "An efficient implementation of a network interior point method",
booktitle = "Network Flows and Matching\,: First DIMACS Implementation
Challenge",
editor = "D. S. Johnson and C. C. McGeogh",
year = "1993",
pages = "299--348",
series = "DIMACS Series on Discrete Mathenatics and Theoretical Computer
Science",
volume = "12",
publisher = "American Mathematical Society",
address = "Providence, Rhode Island~02940, USA",
note = "For an extended version see Resende and Veiga \cite{ipm:Resende12},
available via NETLIB, directory netlib/att/math/resende"
}
@article{ipm:Resende17,
author = "M. G. C. Resende and G. Veiga",
title = "Computing the projection in an interior point algorithm\,: {An}
experimental comparison",
journal = "Investigaci{\'o}n Operativa",
volume = "3",
year = "1993",
pages = "81--92"
}
@article{ipm:Resende18,
author = "M. G. C. Resende and K. G. Ramakrishnan and Z. Drezner",
title = "Computing lower bounds for the quadratic assignment problem with
an interior point algorithm for linear programming",
journal = "Operations Research",
volume = "43",
year = "1995",
pages = "781--791"
}
@incollection{ipm:Resende19,
author = "M. G. C. Resende and P. M. Pardalos",
title = "Interior point algorithms for network flow problems",
booktitle = "{Advances in Linear and Integer Programming}",
editor = "J. E. Beasley",
year = "1996",
pages = "145--185",
series = "Oxford Lecture Series in Mathematics and its Applications",
volume = "4",
publisher = "Oxford Science Publications, Oxford University Press",
address = "Oxford, Great Britain",
note = "Identical to Pardalos and Resende\,\cite{ipm:Pardalos10}"
}
@inbook{ipm:Richter1,
author = "C. Richter",
title = "{Optimierungsverfahren und BASIC--Programme (Optimization Methods
and BASIC--Programs)}",
chapter = "2.3.2\,: {Das Projektionsverfahren von Karmarkar (The projection
method of Karmarkar), 47--50, P.2.4.\,: Projektionsverfahren,
BASIC--Programm}",
year = "1988",
pages = "123--124",
publisher = "Akademie Verlag",
address = "D--1000 Berlin, Germany",
note = "(In German)"
}
@article{ipm:Rinaldi1,
author = "G. Rinaldi",
title = "A projective method for linear programming with box--type
constraints",
journal = "Algorithmica",
volume = "1",
number = "4",
year = "1986",
pages = "517--527"
}
@techreport{ipm:Rogers1,
author = "J. E. Rogers and P. T. Boggs and P. D. Domich",
title = "A predictor--corrector--{O3d} (optimal--3--dimensional) formulation
for quadratic programming",
type = "{Technical Report}",
year = "1994",
institution = "United States Department of Commerce, National Institute
of Standards and Technology",
address = "Gaithersburg, MD~20899, USA"
}
@phdthesis{ipm:Roth1,
author = "G. Roth",
title = "An ''interior point type'' algorithm for solving large scale
nonlinear optimization problems",
year = "1992",
school = "Optimization Laboratory, Faculty of Industrial Engineering and
Management, Technion--Isreal Institute of Technology",
address = "Haifa, Israel"
}
@article{ipm:Rothberg1,
author = "E. Rothberg and B. Hendrickson",
title = "Sparse matrix ordering methods for interior point linear
programming",
journal = "INFORMS Journal on Computing",
volume = "10",
year = "1998",
pages = "107--113"
}
@techreport{ipm:Rothberg2,
author = "E. Rothberg",
title = "Ordering sparse matrices using approximate minimum local fill",
type = "{Technical Report}",
year = "1996",
month = "April",
institution = "Silicon Graphics, Inc.",
address = "Mountain View, CA~94043, USA"
}
@article{ipm:Roubi1,
author = "A. Roubi",
title = "Global convergence and rate of convergence of a method of
centers",
journal = "Computational Optimization and Applications",
volume = "3",
year = "1994",
pages = "259--280"
}
@article{ipm:Rockett1,
author = "A. M. Rockett and J. C. Stevenson",
title = "{Karmarkar's} algorithm\,: {A} method for solving large linear
programming",
journal = "BYTE",
volume = "12",
number = "10",
year = "1987",
pages = "146--162"
}
@article{ipm:Roehrkasse1,
author = "R. Roehrkasse",
title = "Linear programming and {Operations Research}",
journal = "IEEE Potentials",
volume = "9",
number = "4",
year = "1990",
month = "December",
pages = "39--40"
}
@techreport{ipm:Roos1,
author = "C. Roos",
title = "On {Karmarkar's} projective method for linear programming",
type = "{Technical Report}",
number = "85--23",
year = "1985",
institution = "Faculty of Mathematics and Informatics, TU Delft",
address = "NL--2628~BL~Delft, The Netherlands"
}
@techreport{ipm:Roos2,
author = "C. Roos",
title = "Linear programming along the trajectory of the problem",
type = "{Technical Report}",
number = "87--41",
year = "1987",
institution = "Faculty of Mathematics and Informatics, TU Delft",
address = "NL--2628~BL~Delft, The Netherlands"
}
@techreport{ipm:Roos3,
author = "C. Roos",
title = "On the trajectory of a linear programming problem",
type = "{Technical Report}",
number = "87--53",
year = "1987",
institution = "Faculty of Mathematics and Informatics, TU Delft",
address = "NL--2628~BL~Delft, The Netherlands"
}
@techreport{ipm:Roos4,
author = "C. Roos",
title = "A new trajectory--following polynomial--time algorithm for the
linear programming problem",
type = "{Technical Report}",
number = "87--87",
year = "1987",
institution = "Faculty of Mathematics and Informatics, TU Delft",
address = "NL--2628~BL~Delft, The Netherlands"
}
@techreport{ipm:Roos5,
author = "C. Roos",
title = "Linear programming along the trajectory of the problem in
polynomial time",
type = "{Technical Report}",
number = "88--17",
year = "1988",
institution = "Faculty of Mathematics and Informatics, TU Delft",
address = "NL--2628~BL~Delft, The Netherlands"
}
@techreport{ipm:Roos6,
author = "C. Roos",
title = "The influence of the potential function on the performance of a
trajectory following algorithm for the linear programming problem",
type = "{Technical Report}",
number = "88--44",
year = "1988",
institution = "Faculty of Mathematics and Informatics, TU Delft",
address = "NL--2628~BL~Delft, The Netherlands"
}
@article{ipm:Roos7,
author = "C. Roos",
title = "New trajectory--following polynomial--time algorithm for linear
programming problems",
journal = "Journal of Optimization Theory and Applications",
volume = "63",
year = "1989",
pages = "433--458"
}
@incollection{ipm:Roos8,
author = "C. Roos",
title = "An ${O(n^{3}L)}$ approximate center method for linear programming",
booktitle = "Optimization\,: Proceedings of the 5th French--German
Conference in Castel--Novel, Varetz, France, October 1988",
editor = "S. Dolecki",
year = "1989",
pages = "147--158",
series = "Lecture Notes in Mathematics",
volume = "1405",
publisher = "Springer Verlag",
address = "Berlin, Germany"
}
@techreport{ipm:Roos9,
author = "C. Roos",
title = "Polynomial--time algorithms for linear programming based on the use
of the logarithmic barrier penalty function",
type = "{Talk held at the 14th Conference on the Mathematics of Operations
Research in Dalfsen, The Netherlands}",
year = "1990",
month = "January",
institution = "Faculty of Mathematics and Informatics, TU Delft",
address = "NL--2628~BL~Delft, The Netherlands"
}
@techreport{ipm:Roos10,
author = "C. Roos",
title = "A potential reduction method for a class of a smooth convex
programming problem",
type = "{Talk held at the DGOR--Jahrestagung in Vienna, Austria}",
year = "1990",
month = "August",
institution = "Faculty of Mathematics and Informatics, TU Delft",
address = "NL--2628~BL~Delft, The Netherlands"
}
@techreport{ipm:Roos11,
author = "C. Roos and {D. den} Hertog",
title = "A polynomial method of approximate weighted centers for linear
programming",
type = "{Technical Report}",
number = "89--13",
year = "1989",
institution = "Faculty of Mathematics and Informatics, TU Delft",
address = "NL--2628~BL~Delft, The Netherlands"
}
@article{ipm:Roos12,
author = "C. Roos and J.--Ph. Vial",
title = "A polynomial method of approximate centers for linear programming",
journal = "Mathematical Programming",
volume = "54",
year = "1992",
pages = "295--305"
}
@techreport{ipm:Roos13,
author = "C. Roos and J.--Ph. Vial",
title = "Analytic centers in linear programming",
type = "{Technical Report}",
number = "88--74",
year = "1988",
institution = "Faculty of Mathematics and Informatics, TU Delft",
address = "NL--2628~BL~Delft, The Netherlands"
}
@incollection{ipm:Roos14,
author = "C. Roos and J.--Ph. Vial",
title = "Long steps with the logarithmic penalty barrier function in linear
programming",
booktitle = "Economic Decision--Making\,: Games, Economics and
Optimization, dedicated to J. H. Dr{\`e}ze",
editor = "J. Gabszevwicz and J. F. Richard and L. A. Wolsey",
year = "1989",
pages = "433--441",
publisher = "Elsevier Science Publisher B.V.",
address = "Amsterdam, The Netherlands"
}
@techreport{ipm:Roos15,
author = "C. Roos",
title = "A pivoting rule of the simplex method which is related to
{Karmarkar's} potential function",
type = "{Technical Report}",
year = "1985",
institution = "Faculty of Mathematics and Informatics, TU Delft",
address = "NL--2628~BL~Delft, The Netherlands"
}
@techreport{ipm:Roos16,
author = "C. Roos",
title = "A projective variant of the approximate center method for linear
programming",
type = "{Technical Report}",
number = "90--83",
year = "1990",
institution = "Faculty of Mathematics and Informatics, TU Delft",
address = "NL--2628~BL~Delft, The Netherlands"
}
@book{ipm:Roos17,
author = "C. Roos and J.--Ph. Vial",
title = "Interior Point Methods for Linear Programming\,: Theory and
Practice, Proceedings of the Symposium held in Scheveningen,
The Netherlands, January 1990",
year = "1991",
series = "Mathematical Programming",
volume = "52",
publisher = "North Holland",
address = "Amsterdam, The Netherlands"
}
@incollection{ipm:Roos18,
author = "C. Roos",
title = "Interior point methods for linear programming\,: {Theory},
algorithms and sensitivity analysis",
booktitle = "Proceedings of the Symposium on Engineering Mathematics",
publisher = "Kluwer Academic Publishers",
address = "Dordrecht, The Netherlands",
editor = "T. F. Bewley",
year = "1995",
note = "See also Roos \cite{ipm:Roos21}"
}
@article{ipm:Roos19,
author = "C. Roos and J.--Ph. Vial",
title = "Achievable potential reductions in the method of {Kojima et al.\ }
in the case of linear programming",
journal = "R.A.I.R.O. Recherche Operationnelle/Operations Research",
volume = "28",
year = "1994",
pages = "135--163"
}
@incollection{ipm:Roos20,
author = "C. Roos",
title = "A projective variant of the approximate center method for the dual
linear programming problem",
booktitle = "System Modelling and Optimization (Proceedings of the 15th
IFIP Conference, Zurich, Switzerland, September 1991)",
editor = "P. Kall",
year = "1992",
pages = "251--260",
series = "Lecture Notes in Control and Information Sciences",
volume = "180",
publisher = "Springer Verlag",
address = "Berlin, Germany"
}
@incollection{ipm:Roos21,
author = "C. Roos",
title = "Interior point approach to linear programming\,: {Theory},
algorithms and parametric analysis",
booktitle = "Topics in Engineering\,: Modeling and Methods",
editor = "{A. H. P. van der} Burgh and J. Simonis",
year = "1992",
pages = "181--216",
series = "Mathematics and Its Applications",
volume = "81",
publisher = "Kluwer Academic Publishers",
address = "Dordrecht, The Netherlands",
note = "See also Jansen et al. \cite{ipm:Jansen2}"
}
@techreport{ipm:Roos22,
author = "C. Roos and J.--Ph. Vial",
title = "Interior--point methods for linear programming",
type = "{Technical Report}",
number = "94--77",
year = "1994",
institution = "Faculty of Technical Mathematics and Informatics, TU Delft",
address = "NL--2600~GA~Delft, The Netherlands"
}
@incollection{ipm:Roos23,
author = "C. Roos and J.--Ph. Vial",
title = "Interior point methods",
booktitle = "{Advances in Linear and Integer Programming}",
editor = "J. E. Beasley",
year = "1996",
pages = "47--102",
series = "Oxford Lecture Series in Mathematics and its Applications",
volume = "4",
publisher = "Oxford Science Publications, Oxford University Press",
address = "Oxford, Great Britain"
}
@book{ipm:Roos24,
author = "C. Roos and T. Terlaky and J.--Ph. Vial",
title = "{Theory and Algorithms for Linear Optimization\,: An Interior Point
Approach}",
year = "1997",
publisher = "John Wiley \& Sons",
address = "New York, USA"
}
@incollection{ipm:Roos25,
author = "C. Roos and T. Terlaky",
title = "Advances in linear optimization",
booktitle = "{Annotated Bibliography in Combinatorial Optimization}",
editor = "M. Dell'Amico and F. Maffioli and S. Martello",
year = "1997",
pages = "",
publisher = "John Wiley \& Sons",
address = "New York, USA"
}
@techreport{ipm:Roos26,
author = "C. Roos and T. Terlaky and J. P. Warners",
title = "Solving linear systems with low--rank updates",
type = "{Technical Report}",
number = "96--149",
year = "1996",
institution = "Faculty of Technical Mathematics and Informatics, TU Delft",
address = "NL--2600~GA~Delft, The Netherlands"
}
@article{ipm:Ruzinsky1,
author = "S. A. Ruzinsky and E. T. Olsen",
title = "${L_1}$ and ${L_\infty}$ minimization via a variant of
{Karmarkar's} algorithm",
journal = "IEEE Transactions on Acoustics, Speech, and Signal Processing",
volume = "37",
number = "2",
year = "1989",
pages = "245--253"
}
@techreport{ipm:Ruszczynski1,
author = "A. Ruszczynski",
title = "Interior--point methods in stochastic programming",
type = "{Technical Report}",
number = "WP--93--8",
year = "1993",
month = "January",
institution = "International Institute for Applied Systems Analysis",
address = "A--2361~Laxenburg, Austria"
}
@techreport{ipm:Saaf1,
author = "F. Saaf",
title = "A user's manual for {NIPSF}\,: {Nonlinear} interior--point
solver, {Fortran}",
type = "{Technical Report}",
number = "TR~96--24",
year = "1996",
institution = "Department of Computational and Applied Mathematics, Rice
University",
address = "Houston, TX~77251, USA"
}
@article{ipm:Sagara1,
author = "N. Sagara and M. Fukushima",
title = "A hybrid method for the nonlinear least squares problem with
simple bounds",
journal = "Journal of Computational and Applied Mathematics",
volume = "36",
year = "1991",
pages = "149--157"
}
@techreport{ipm:Saigal1,
author = "R. Saigal",
title = "Tracing homotopy paths in polynomial time",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Washington,
DC, USA}",
year = "1988",
month = "April",
institution = "Department of Industrial and Operational Engineering,
University of Michigan",
address = "Ann Arbor, MI~48109--2117, USA"
}
@techreport{ipm:Saigal2,
author = "R. Saigal",
title = "Interior point methods for the transportation problem",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in New York,
NY, USA}",
year = "1989",
month = "October",
institution = "Department of Industrial and Operational Engineering,
University of Michigan",
address = "Ann Arbor, MI~48109--2117, USA"
}
@techreport{ipm:Saigal3,
author = "R. Saigal",
title = "{SOR}--type iterative techniques for interior point methods",
type = "{Talk held at the TIMS/SOBRAPO Joint International Meeting in Rio de
Janeiro, Brazil}",
year = "1991",
month = "July",
institution = "Department of Industrial and Operational Engineering,
University of Michigan",
address = "Ann Arbor, MI~48109--2117, USA"
}
@article{ipm:Saigal4,
author = "R. Saigal",
title = "An infinitely summable series implementation of interior point
methods",
journal = "Mathematics of Operations Research",
volume = "20",
year = "1995",
pages = "597--616"
}
@article{ipm:Saigal5,
author = "R. Saigal",
title = "Matrix partitioning methods for interior point algorithms",
journal = "Sadhana -- Academy Proceedings in Engineering Sciences",
volume = "22",
year = "1997",
pages = "575--587"
}
@article{ipm:Saigal6,
author = "R. Saigal",
title = "A three step quadratically convergent implementation of
the primal affine scaling method",
journal = "Journal of the Operations Research Society of Japan",
volume = "40",
year = "1997",
pages = "310--328"
}
@inbook{ipm:Saigal7,
author = "R. Saigal",
title = "{Linear Programming\,: A Modern Integrated Analysis}",
chapter = "5\,: {Interior} point methods, pp.\,111--264,
chapter 6.2\,: {Implementation} of interior point methods, pp.\,270--305",
year = "1995",
month = "November",
series = "International Series in Operations Research and Management
Science",
volume = "1",
publisher = "Kluwer Academic Publishers",
address = "Dordrecht, The Netherlands",
price = "105.00"
}
@article{ipm:Saigal8,
author = "R. Saigal",
title = "The primal power affine scaling method",
journal = "Annals of Operations Research",
volume = "62",
year = "1996",
pages = "375--417"
}
@article{ipm:Saigal9,
author = "R. Saigal",
title = "A simple proof of primal affine scaling method",
journal = "Annals of Operations Research",
volume = "62",
year = "1996",
pages = "303--324"
}
@article{ipm:Saigal10,
author = "R. Saigal",
title = "On the primal--dual affine scaling method",
journal = "Journal of the Operational Research Society of India
(Opsearch)",
volume = "31",
year = "1994",
pages = "261--278"
}
@techreport{ipm:Saigal11,
author = "R. Saigal",
title = "An infeasible start predictor--corrector method for semi--definite
linear programming",
type = "{Technical Report}",
number = "",
year = "1995",
month = "December",
institution = "Department of Industrial and Operational Engineering,
University of Michigan",
address = "Ann Arbor, MI~48109--2117, USA"
}
@techreport{ipm:Salamanca1,
author = "A. Salamanca",
title = "An inner ellipsoid algorithm for linear programming",
type = "{Technical Report}",
number = "1--ABR/86",
year = "1986",
institution = "Department of Mathematics, E.~T.~S. de Ingenieros
Industriales, Universidad Politecmia de Madrid",
address = "Madrid, Spain"
}
@article{ipm:Salhi1,
author = "A. Salhi and G. R. Lindfield",
title = "Effects of ordering and updating techniques on the performance of
the {Karmarkar} algorithm",
journal = "R.A.I.R.O. Recherche Operationnelle/Operations Research",
volume = "25",
number = "2",
year = "1991",
pages = "209--236"
}
@phdthesis{ipm:Salhi2,
author = "A. Salhi",
title = "Karmarkar's algorithm\,: {E}xtensions and implementations",
year = "1989",
school = "Department of Computer Science and Applied Mathematics, Aston
University",
address = "Birmingham~B4~7ET, United Kingdom"
}
@incollection{ipm:Salhi3,
author = "A. Salhi and G. R. Lindfield",
title = "Standard form {Karmarkar's} algorithm for structured linear
programming",
booktitle = "Algorithms and Parallel VLSI Architectures, Vol.\,B\,:
Proceedings of the International Workshop on Algorithms and Parallel
VLSI Architectures, Pont--a--Mousson, France, June 1990",
editor = "E. F. Deprettere and A. J. van der Veen",
year = "1991",
pages = "501--510",
publisher = "Elsevier Science Publishers, B.\,V.",
address = "Amsterdam, The Netherlands"
}
@incollection{ipm:Salhi4,
author = "A. Salhi and G. R. Lindfield and L. G. Proll",
title = "The role of duality in the efficient use of a variant of
{Karmarkar's} algorithm",
booktitle = "Symposium on Applied Mathematical Programming and Modeling
(APMOD '93), Budapest, Hungary, January 1993, Volume of Extended Abstracts",
editor = "I. Maros",
year = "1992",
month = "December",
pages = "516--520",
publisher = "Computer and Automation Institute, Hungarian Academy of Sciences",
address = "Budapest, Hungary"
}
@techreport{ipm:Saltzman1,
author = "M. J. Saltzman",
title = "Parallel implementation of interior point {LP} algorithms",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Las Vegas, NV,
USA}",
year = "1990",
month = "May",
institution = "Department of Mathematical Sciences, Clemson University",
address = "Clemson, SC~29634--1907, USA",
note = "See Saltzman \cite{ipm:Saltzman5}"
}
@incollection{ipm:Saltzman2,
author = "M. J. Saltzman and R. Subramaniam and R. E. Marsten",
title = "Implementing an interior point {LP} algorithm on a
supercomputer",
booktitle = "Impacts of Recent Computer Advances on Operations
Research",
publisher = "North Holland",
address = "Amsterdam, The Netherlands",
editor = "R. Sharda and B. L. Golden and E. Wasil and O. Balci
and W. Stewart",
year = "1989",
pages = "158--168"
}
@techreport{ipm:Saltzman3,
author = "M. J. Saltzman",
title = "{WRIP\,: A workbench for research in interior point methods}",
type = "{Panel Discussion held at the ORSA/TIMS Joint National Meeting in
Philadelphia, PA, USA}",
year = "1990",
month = "October",
institution = "Department of Mathematical Sciences, Clemson University",
address = "Clemson, SC~29634--1907, USA"
}
@techreport{ipm:Saltzman4,
author = "M. J. Saltzman and R. Bixby",
title = "Recovering an optimal {LP} basis from an interior point
solution",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Orlando,
FL, USA}",
year = "1992",
month = "April",
institution = "Department of Mathematical Sciences, Clemson University",
address = "Clemson, SC~29634--1907, USA",
note = "See Bixby and Saltzman \cite{ipm:Bixby2}"
}
@incollection{ipm:Saltzman5,
author = "M. J. Saltzman",
title = "Implementation of an interior point {LP} algorithm on a
shared--memory vector multiprocessor",
booktitle = "Operations Research and Computer Science: New Developments
in Their Interfaces",
pages = "87--101",
publisher = "Pergamon Press",
address = "Oxford, United Kingdom",
editor = "O. Balci and R. Sharda and S. A. Zenios",
year = "1992"
}
@techreport{ipm:Samuelsen1,
author = "C. M. Samuelsen and R. A. Tapia",
title = "The {Dikin--Karmarkar} principle for steepest descent",
type = "{Talk held at the Second International Conference on Industrial and
Applied Mathematics (ICIAM~'91), Washington, DC, USA}",
year = "1991",
month = "July",
institution = "Department of Mathematical Sciences, Rice University",
address = "Houston, TX~77251, USA",
note = "See Samuelsen \cite{ipm:Samuelsen3}"
}
@techreport{ipm:Samuelsen2,
author = "C. M. Samuelsen and R. A. Tapia",
title = "The {Dikin--Karmarkar} principle for steepest descent\,:
{Avoiding} short steps",
type = "{Technical Report}",
number = "TR~91--20",
year = "1991",
institution = "Department of Mathematical Sciences, Rice University",
address = "Houston, TX~77251, USA"
}
@phdthesis{ipm:Samuelsen3,
author = "C. M. Samuelsen",
title = "The {Dikin--Karmarkar} principle for steepest descent",
year = "1992",
school = "Department of Mathematical Sciences, Rice University",
address = "Houston, TX~77251, USA"
}
@incollection{ipm:Sargent1,
author = "R. W. H. Sargent",
title = "A homework exercise\,--\,{The big--M problem}",
booktitle = "Algorithms for Continuous Optimization\,: The
State--of--the--Art (Il Ciocco, Barga, Italy, September 1993)",
editor = "E. Spedicato",
year = "1994",
pages = "475--479",
series = "NATO ASI Series C",
volume = "434",
publisher = "Kluwer Academic Publishers",
address = "Dordrecht, The Netherlands"
}
@mastersthesis{ipm:Sasakawa1,
author = "T. Sasakawa",
title = "A study on interior--point algorithms for linear programming",
year = "1988",
school = "Department of Information Physics and Mathematical
Engineering, UNiversity of Tokyo",
address = "Tokyo, Japan",
note = "(In Japanese)"
}
@article{ipm:Saunders1,
author = "M. A. Saunders",
title = "{Major Cholesky} would feel proud",
journal = "ORSA Journal on Computing",
volume = "6",
year = "1994",
pages = "23--27"
}
@incollection{ipm:Saunders2,
author = "M. A. Saunders",
title = "Cholesky--based methods for sparse least squares\,: {The} benefits
of regularization",
booktitle = "Linear and Nonlinear Conjugate Gradient--Related Methods
(Proceedings of the AMS--IMS--SIAM Joint Summer Research Conference,
Seattle, WA, USA, July 9--13, 1995)",
editor = "L. Adams and J. L. Nazareth",
year = "1996",
pages = "92--100",
publisher = "SIAM Publications",
address = "Philadelphia, PA, USA"
}
@techreport{ipm:Saunders3,
author = "M. Suanders and J. A. Tomlin",
title = "Solving regularized linear programs using barrier methods and
{KKT} systems",
type = "{Technical Report}",
number = "SOL\,96--04",
year = "1996",
month = "December",
institution = "Systems Optimization Laboratory, Department of
Operations Research, Stanford University",
address = "Stanford, CA\,94305, USA"
}
@phdthesis{ipm:Schaettler1,
author = "U. Sch{\"a}ttler",
title = "An interior--point method for semi--infinite programming problems",
year = "1992",
school = "Institut f{\"u}r Angewandte Mathematik und Statistik,
Universit{\"a}t W{\"u}rzburg",
address = "Am Hubland, D--97074~W{\"u}rzburg, Germany",
note = "See also Sch{\"a}ttler \cite{ipm:Schaettler2}"
}
@article{ipm:Schaettler2,
author = "U. Sch{\"a}ttler",
title = "An interior--point method for semi--infinite programming problems",
journal = "Annals of Operations Research",
volume = "62",
year = "1996",
pages = "277--301",
note = "See also Sch{\"a}ttler \cite{ipm:Schaettler1}"
}
@techreport{ipm:Schmieta1,
author = "S. Schmieta and F. Alizadeh",
title = "Associative algebras, symmetric cones and polynomial time
interior point algorithms",
type = "{RUTCOR Research Report}",
number = "RRR\,17--98",
year = "1998",
institution = "RUTCOR -- Rutgers Center for Operations Research, Hill
Center for Mathematical Sciences",
address = "New Brunswick, NJ~08903, USA"
}
@techreport{ipm:Schneider1,
author = "W. Schneider",
title = "An inner point preprocessing procedure",
type = "{Talk held at the DGOR--Jahrestagung in Stuttgart--Hohernheim,
Germany}",
year = "1991",
month = "September",
institution = "Institut f{\"u}r Informatik, Universit{\"a}t Linz",
address = "P.~O.~Box, A--4040~Linz, Austria"
}
@article{ipm:Schneider2,
author = "W. Schneider",
title = "Eine innere--Punkt--Prozedur zur Beschleunigung des
Simplexalgorithmus (An interior--point procedure for speeding up the
simplex algorithm)",
journal = "Operations Research Proceedings 1991",
year = "1992",
pages = "381--388"
}
@article{ipm:Schoenlein1,
author = "A. Sch{\"o}nlein",
title = "{Der Algorithmus von Karmarkar---Idee, Realisation, Beispiel und
numerische Erfahrungen (The Karmarkar algorithm---idea, realisation, example
and numerical experiences)}",
journal = "Angewandte Informatik",
volume = "8",
year = "1986",
pages = "344--353",
note = "(In German)"
}
@incollection{ipm:Schreck1,
author = "H. Schreck",
title = "Experiences with an implementation of {Karmarkar's}
{LP}--algorithm",
booktitle = "Proceedings of the X.~Symposium on Operations Research, Munich,
Germany, August 1985",
editor = "M. J. Beckmann and K. W. Gaede and K. Ritter and H. Schneeweiss",
series = "Methods of Operations Research",
volume = "54",
year = "1986",
pages = "535--542",
publisher = "Anton Hain Meisenheim Verlag",
address = "K{\"o}nigstein--Taunus, Germany"
}
@article{ipm:Schrijver1,
author = "A. Schrijver",
title = "The new linear programming method of {Karmarkar}",
journal = "CWI Newsletter",
volume = "8",
year = "1985",
pages = "2--14"
}
@inbook{ipm:Schrijver2,
author = "A. Schrijver",
title = "Theory of Linear and Integer Programming",
chapter = "15.1\,: {Karmarkar's} polynomial--time algorithm for linear
programming",
pages = "190--194",
publisher = "John Wiley\,\&\,Sons",
address = "New York",
year = "1986"
}
@techreport{ipm:Schrijver3,
author = "A. Schrijver",
title = "The algorithm of {N.\,K.\,Karmarkar} for linear programming",
type = "{Talk held at the 14th Conference on the Mathematics of Operations
Research in Dalfsen, The Netherlands}",
year = "1990",
month = "January",
institution = "Centre for Mathematics and Computer Science (CWI)",
address = "Kruislaan 413, NL--1098~SJ~Amsterdam, The Netherlands"
}
@techreport{ipm:Schultz1,
author = "G. L. Schultz and R. R. Meyer",
title = "A structured interior point method",
type = "{Technical Report}",
number = "934",
year = "1990",
institution = "Department of Computer Science, University of
Wisconsin",
address = "Madison, WI~53706, USA"
}
@article{ipm:Schultz2,
author = "H. Schultz and W. Pulleyblank",
title = "Trends in optimization",
journal = "OR/MS Today",
volume = "18",
number = "4",
year = "1991",
month = "August",
pages = "20--25"
}
@article{ipm:Schultz3,
author = "G. L. Schultz and R. R. Meyer",
title = "An interior point method for block angular optimization",
journal = "SIAM Journal on Optimization",
volume = "1",
number = "4",
year = "1991",
pages = "583--602"
}
@article{ipm:Schweitzer1,
author = "E. Schweitzer",
title = "An interior random vector algorithm for multistage stochastic
linear programs",
journal = "SIAM Journal on Optimization",
volume = "8",
year = "1998",
pages = "956--972"
}
@article{ipm:Seifi1,
author = "A. Seifi and L. Tun{\c c}el",
title = "A constant--potential infeasible--start interior--point
algorithm with computational experiments and applications",
journal = "Computational Optimization and Applications",
volume = "9",
year = "1998",
pages = "107--152"
}
@article{ipm:Setiono1,
author = "R. Setiono",
title = "Interior dual proximal--point algorithm for linear programs",
journal = "European Journal of Operational Research",
volume = "77",
year = "1994",
pages = "96--110"
}
@article{ipm:Setiono2,
author = "R. Setiono",
title = "Interior proximal--point algorithm for linear programs",
journal = "Journal of Optimization Theory and Applications",
volume = "74",
number = "3",
year = "1992",
pages = "425--444"
}
@article{ipm:Setiono3,
author = "R. Setiono",
title = "Interior dual least 2--norm algorithm for linear programs",
journal = "Optimization",
volume = "31",
year = "1993",
pages = "875--899"
}
@article{ipm:Setiono4,
author = "R. Setiono",
title = "Interior dual proximal--point algorithm using preconditioned
conjugate gradient",
journal = "Optimization",
volume = "24",
year = "1992",
pages = "63--73"
}
@article{ipm:Shanno1,
author = "D. F. Shanno",
title = "Computing {Karmarkar} projections quickly",
journal = "Mathematical Programming",
volume = "41",
year = "1988",
pages = "61--71"
}
@techreport{ipm:Shanno2,
author = "D. F. Shanno",
title = "Interior--point methods for linear programming\,: {The}
state--of--the--computational--art",
type = "{Talk held at the Symposium on Mathematical Programming in
Oberwolfach, Germany}",
year = "1990",
month = "January",
institution = "RUTCOR\,--\,Rutgers Center of Operations Research, Rutgers
University",
address = "Busch Campus, New Brunswick, NJ~08903, USA"
}
@techreport{ipm:Shanno3,
author = "D. F. Shanno",
title = "Interior--point methods for linear programming\,: {The}
state--of--the--art",
type = "{Talk held at the SIAM Annual Meeting in Chicago, IL, USA}",
year = "1990",
month = "July",
institution = "RUTCOR\,--\,Rutgers Center of Operations Research, Rutgers
University",
address = "Busch Campus, New Brunswick, NJ~08903, USA"
}
@article{ipm:Shanno4,
author = "D. F. Shanno and A. Bagchi",
title = "A unified view of interior point methods for linear programming",
journal = "Annals of Operations Research",
volume = "22",
year = "1990",
pages = "55--70"
}
@techreport{ipm:Shanno5,
author = "D. F. Shanno and R. E. Marsten",
title = "On implementing {Karmarkar's} method",
type = "{Working Paper}",
number = "85--01",
year = "1985",
institution = "Graduate School of Administration, University of California",
address = "Davis, CA~95616, USA"
}
@techreport{ipm:Shanno6,
author = "D. F. Shanno and R. E. Marsten",
title = "Implementation of the {Karmarkar} algorithm within {XMP} framework",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Miami Beach,
FL, USA}",
year = "1986",
month = "October",
institution = "Graduate School of Administration, University of California",
address = "Davis, CA~95616, USA"
}
@article{ipm:Shanno7,
author = "D. F. Shanno and R. E. Marsten",
title = "A reduced--gradient variant of {Karmarkar's} algorithm and
null--space projections",
journal = "Journal of Optimization Theory and Applications",
volume = "57",
year = "1988",
pages = "383--397"
}
@techreport{ipm:Shanno8,
author = "D. F. Shanno and R. E. Marsten",
title = "Interior point methods for linear programming\,: {Ready} for
production use",
type = "{Workshop held at the ORSA/TIMS Joint National Meeting in New York,
NY, USA}",
year = "1989",
month = "October",
institution = "RUTCOR\,--\,Rutgers Center of Operations Research, Rutgers
University",
address = "Busch Campus, New Brunswick, NJ~08903, USA"
}
@techreport{ipm:Shanno9,
author = "D. F. Shanno and R. E. Marsten",
title = "Set partitioning via interior point methods",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in New York, NY,
USA}",
year = "1989",
month = "October",
institution = "RUTCOR\,--\,Rutgers Center of Operations Research, Rutgers
University",
address = "Busch Campus, New Brunswick, NJ~08903, USA"
}
@techreport{ipm:Shanno10,
author = "D. F. Shanno and C. L. Monma and K. McShane",
title = "Computational experience with a primal--dual method",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Washington,
DC, USA}",
year = "1988",
month = "April",
institution = "RUTCOR\,--\,Rutgers Center of Operations Research, Rutgers
University",
address = "Busch Campus, New Brunswick, NJ~08903, USA",
note = "See McShane et al.\ \cite{ipm:McShane1}"
}
@techreport{ipm:Shanno11,
author = "D. F. Shanno and R. E. Marsten and M. J. Saltzman and
R. Subramaniam",
title = "Solving set partitioning problems with cutting planes and an
interior point method",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in New York, NY,
USA}",
year = "1989",
month = "October",
institution = "RUTCOR\,--\,Rutgers Center of Operations Research, Rutgers
University",
address = "Busch Campus, New Brunswick, NJ~08903, USA"
}
@techreport{ipm:Shanno12,
author = "D. F. Shanno",
title = "An overview of interior point methods with implementation details
and computational experience",
type = "{Talk held at the Symposium APMOD~'91---Applied Mathematical
Programming and Modelling, Brunel University, London, United Kingdom}",
year = "1991",
month = "January",
institution = "RUTCOR\,--\,Rutgers Center of Operations Research, Rutgers
University",
address = "Busch Campus, New Brunswick, NJ~08903, USA"
}
@techreport{ipm:Shanno13,
author = "D. F. Shanno and T. J. Carpenter",
title = "{\em Log}--barrier methods for quadratic and linearly constrained
nonlinear programming",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Anaheim, CA,
USA}",
year = "1991",
month = "November",
institution = "RUTCOR\,--\,Rutgers Center of Operations Research, Rutgers
University",
address = "Busch Campus, New Brunswick, NJ~08903, USA"
}
@techreport{ipm:Shanno14,
author = "D. F. Shanno",
title = "Current state of primal--dual interior code",
type = "{Talk held at the Second Asilomar Workshop on Progress in
Mathematical Programming, Asimolar Conference Center, Pacific Grove, CA,
USA}",
year = "1990",
month = "March",
institution = "RUTCOR\,--\,Rutgers Center of Operations Research, Rutgers
University",
address = "Busch Campus, New Brunswick, NJ~08903, USA"
}
@techreport{ipm:Shanno15,
author = "D. F. Shanno and T. J. Carpenter",
title = "Computational experience with large scale quadratic programming",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Orlando, FL,
USA}",
year = "1992",
month = "April",
institution = "RUTCOR\,--\,Rutgers Center of Operations Research, Rutgers
University",
address = "Busch Campus, New Brunswick, NJ~08903, USA"
}
@techreport{ipm:Shanno16,
author = "D. F. Shanno and T. J. Carpenter",
title = "Interior point methods for large scale quadratic programming",
type = "{Talk held at the Fourth SIAM Conference on Optimization in Chicago,
IL, USA}",
year = "1992",
month = "May",
institution = "RUTCOR\,--\,Rutgers Center of Operations Research, Rutgers
University",
address = "Busch Campus, New Brunswick, NJ~08903, USA"
}
@techreport{ipm:Shanno17,
author = "D. F. Shanno",
title = "Computational experience with logarithmic barrier methods for
linear and nonlinear complementarity problems",
type = "{Research Report}",
number = "RRR~18--93",
year = "1993",
institution = "RUTCOR\,--\,Rutgers Center of Operations Research, Rutgers
University",
address = "Busch Campus, New Brunswick, NJ~08903, USA"
}
@incollection{ipm:Shanno18,
author = "D. F. Shanno",
title = "Computational methods for linear programming",
booktitle = "Algorithms for Continuous Optimization\,: The
State--of--the--Art (Il Ciocco, Barga, Italy, September 1993)",
editor = "E. Spedicato",
year = "1994",
pages = "383--413",
series = "NATO Advanced Science Institute Series C\,: Mathematical and
Physical Sciences",
volume = "434",
publisher = "Kluwer Academic Publishers",
address = "Dordrecht, The Netherlands"
}
@techreport{ipm:Shanno19,
author = "D. F. Shanno and E. M. Simantiraki",
title = "An infeasible--interior--point method to solve the linear
complementarity problem",
type = "{Research Report}",
number = "RRR~7--95",
year = "1995",
month = "March",
institution = "RUTCOR\,--\,Rutgers Center for Operations Research, Rutgers
University",
address = "Busch Campus, New Brunswick, NJ~08903, USA"
}
@incollection{ipm:Shanno20,
author = "D. F. Shanno and M. G. Breitfeld and E. M. Simantiraki",
title = "Implementing barrier methods for nonlinear programming",
booktitle = "Interior Point Methods of Mathematical Programming",
editor = "T. Terlaky",
year = "1996",
pages = "399--414",
series = "Applied Optimization",
volume = "5",
publisher = "Kluer Academic Publishers",
address = "Dordrecht, The Netherlands"
}
@incollection{ipm:Shanno21,
author = "D. F. Shanno and E. M. Simantiraki",
title = "Interior point methods for linear and nonlinear programming",
booktitle = "The State--of--the--Art in Numerical Analysis",
editor = "?",
year = "1997",
pages = "339--362",
series = "Institute of Mathematics with Applications Conference Series
(New Series)",
volume = "63",
publisher = "Oxford University Press",
address = "New York, USA"
}
@article{ipm:Sharifi1,
author = "F. {Sharifi Mokhtarian} and J.--L. Goffin",
title = "A nonlinear analytic center cutting plane method for a class of
convex programming problems",
journal = "SIAM Journal on Optimization",
volume = "8",
year = "1998",
pages = "1108--1131"
}
@techreport{ipm:Shaw1,
author = "D. X. Shaw",
title = "Several computational considerations for projective behavior point
methods",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Orlando, FL,
USA}",
year = "1992",
month = "April",
institution = "Rider College",
address = "Lawrenceville, NJ~08648, USA"
}
@incollection{ipm:Shaw2,
author = "D. X. Shaw",
title = "General structures of primal scaling interior point methods",
booktitle = "Operations Research\,'93",
editor = "A. Bachem and U. Derigs and M. J{\"u}nger and R. Schrader",
year = "1994",
pages = "470--473",
publisher = "Physica Verlag (A Springer--Verlag Company)",
address = "Heidelberg, Germany",
note = "See also Shaw\,\cite{ipm:Shaw3}"
}
@techreport{ipm:Shaw3,
author = "D. X. Shaw",
title = "General structures of a class of potential reduction algorithms",
type = "{Technical Report}",
year = "1993",
month = "August",
institution = "School of Industrial Engineering, Purdue University",
address = "West Lafayette, IN\,47907, USA"
}
@techreport{ipm:Shaw4,
author = "D. X. Shaw",
title = "A self--concordant symmetric path--following algorithm for linear
programming",
type = "{Technical Report}",
year = "1993",
month = "August",
institution = "School of Industrial Engineering, Purdue University",
address = "West Lafayette, IN\,47907, USA"
}
@techreport{ipm:Shaw5,
author = "D. X. Shaw",
title = "On the complexity of a class of projective interior point methods
for linear programming",
type = "{Technical Report}",
year = "1993",
institution = "School of Industrial Engineering, Purdue University",
address = "West Lafayette, IN\,47907, USA",
note = "See also Goldfarb and Shaw \cite{ipm:Goldfarb14}"
}
@techreport{ipm:Shaw6,
author = "D. X. Shaw",
title = "Fractional linear functions and the analysis of variants of
{Karmarkar's} method",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in New York, NY,
USA}",
year = "1989",
month = "October",
institution = "Department of Industrial Engineering and Operations
Research, Columbia University",
address = "New York, NY~10027, USA"
}
@techreport{ipm:Shaw7,
author = "D. X. Shaw and D. Goldfarb",
title = "A primal projective interior point method for linear
programming",
type = "{Talk held at the CORS/ORSA/TIMS Joint National Meeting in
Vancouver, British Columbia, Canada}",
year = "1989",
month = "May",
institution = "Department of Industrial Engineering and Operations
Research, Columbia University",
address = "New York, NY~10027, USA"
}
@techreport{ipm:Shaw8,
author = "D. X. Shaw and D. Goldfarb",
title = "A path--following projective interior point method for linear
programming",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Philadelphia,
PA, USA}",
year = "1990",
month = "October",
institution = "Department of Industrial Engineering and Operations
Research, Columbia University",
address = "New York, NY~10027, USA"
}
@techreport{ipm:Shaw9,
author = "D. X. Shaw and D. Goldfarb",
title = "On the complexity of a class of projective interior point
methods",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in
Anaheim, CA, USA}",
year = "1991",
month = "November",
institution = "Department of Industrial Engineering and Operations
Research, Columbia University",
address = "New York, NY~10027, USA",
note = "See Goldfarb and Shaw \cite{ipm:Goldfarb14}"
}
@phdthesis{ipm:Shaw10,
author = "D. X. Shaw",
title = "Projective interior point methods for linear programming",
year = "1991",
school = "Department of Industrial Engineering and Operations
Research, Columbia University",
address = "New York, NY~10027, USA"
}
@article{ipm:Sheng1,
author = "R. Sheng and F. A. Potra",
title = "A quadratically convergent infeasible--interior--point algorithm
for {LCP} with polynomial complexity",
journal = "SIAM Journal on Optimization",
volume = "7",
year = "1997",
pages = "304--317"
}
@techreport{ipm:Sheng2,
author = "R. Sheng and F. A. Potra and J. Ji",
title = "On a general class of interior--point algorithms for semidefinite
programming with polynomial complexity and superlinear convergence",
type = "{Reports on Computational Mathematics}",
number = "89",
year = "1996",
institution = "Department of Mathematics, The University of Iowa",
address = "Iowa City, IA~52242, USA"
}
@techreport{ipm:Sheng3,
author = "R. Sheng and F. A. Potra",
title = "Nonsymmetric search directions for semidefinite programming",
type = "{Preprint}",
number = "ANL/MCS--P692--0997",
year = "1997",
month = "September",
institution = "Mathematics And Computer Science Division, Argonne National
Laboratory",
address = "Argonne, IL~60439, USA"
}
@article{ipm:Sherali1,
author = "H. D. Sherali",
title = "Algorithmic insights and a convergence analysis for a
{Karmarkar--type} of algorithm for linear programming problems",
journal = "Naval Research Logistics Quarterly",
volume = "34",
year = "1987",
pages = "399--416"
}
@article{ipm:Sherali2,
author = "H. D. Sherali and B. O. Skarpness and B. Kim",
title = "An assumption--free convergence analysis of the scaling algorithm
for linear programs, with application to the ${L_1}$ estimation problem",
journal = "Naval Research Logistics Quarterly",
volume = "35",
year = "1988",
pages = "473--492"
}
@article{ipm:Sherkat1,
author = "V. R. Sherkat and Y. Ikura",
title = "Experience with interior point optimization software for a fuel
planning application",
journal = "IEEE Transactions on Power Systems (PWRS)",
volume = "9",
year = "1994",
pages = "833--840",
note = "See also\,: {\em Proceedings of the Power Industry Computer
Application Conference 1993, 89--}"
}
@techreport{ipm:Sheu1,
author = "R.--L. Sheu and S.--C. Fang",
title = "On the relationship of interior point methods",
type = "{Technical Report}",
year = "1991",
month = "November",
institution = "Operations Research Program, North Carolina State University",
address = "Raleigh, NC~27695, USA",
note = "To appear in {\em International Journal of Mathematics and
Mathematical Sciences}"
}
@article{ipm:Sheu2,
author = "R.--L. Sheu and S.--C. Fang",
title = "Insights into interior point methods",
journal = "Zeitschrift f{\"u}r Operations Research---Methods and Models of
Operations Research",
volume = "36",
number = "3",
year = "1992",
pages = ""
}
@article{ipm:Sheu3,
author = "R.--L. Sheu and S.--C. Fang",
title = "On the generalized path--following methods for linear programming",
journal = "Optimization",
volume = "30",
year = "1994",
pages = "235--249"
}
@techreport{ipm:Sheu4,
author = "R.--L. Sheu and S.--Y. Wu",
title = "A method of weighted centers for quadratic semi--infinite
programming with warm start",
type = "{Technical Report}",
year = "1994",
institution = "Department of Mathematics, National Cheng--Kung University",
address = "Tainan, Taiwan"
}
@article{ipm:Sheu5,
author = "R.--L. Sheu and S.--Y. Wu and S.--C. Fang",
title = "A primal--dual infeasible--interior--point algorithm for linear
semi--infinite programming",
journal = "Computers and Mathematics with Applications",
volume = "29",
number = "8",
year = "1995",
pages = "7--18"
}
@article{ipm:Shi1,
author = "M. G. Shi",
title = "Some convergence problems of interior point algorithms for linear
programming",
journal = "Journal of the Tsinghua University",
volume = "28",
number = "3",
year = "1988",
pages = "91--101",
note = "(In Chinese)"
}
@article{ipm:Shi2,
author = "C.--J. Shi and A. Vannelli and J. Vlach",
title = "An improvement on {Karmarkar's} algorithm for integer programming",
journal = "Mathematical Programming Society Committee on Algorithms (COAL)
Bulletin",
volume = "21",
year = "1992",
pages = "23--28"
}
@article{ipm:Shi3,
author = "Y. Shi",
title = "Solving linear systems involved in constrained optimization",
journal = "Linear Algebra and Its Applications",
volume = "229",
year = "1995",
pages = "175--189"
}
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author = "B. Shi and X. Zhou",
title = "Projected gradient type method of centers for constrained
optimization",
journal = "Journal of Mathematical Research and Exposition",
volume = "17",
year = "1997",
pages = "375--381"
}
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author = "M. Shida and S. Shindoh and M. Kojima",
title = "Centers of monotone generalized complementarity problems",
journal = "Mathematics of Operations Research",
volume = "22",
year = "1997",
pages = "969--976"
}
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author = "M. Shida and S. Shindoh and M. Kojima",
title = "Existence of search directions in interior--point algorithms for
the {SDP} and the monotone {SDLCP}",
journal = "SIAM Journal on Optimization",
volume = "8",
year = "1998",
pages = "387--396"
}
@techreport{ipm:Shida3,
author = "M. Shida and S. Shindoh",
title = "Monotone semidefinite complementarity problems",
type = "{Research Reports on Information Sciences, Ser.\,B\,: Operations
Research}",
number = "B--312",
year = "1996",
month = "March",
institution = "Department of Information Sciences, Tokyo Institute of
Technology",
address = "Oh--Okayama, Meguro--ku, Tokyo\,152, Japan"
}
@article{ipm:Shida4,
author = "M. Shida",
title = "Note on long--step predictor--corrector interior--point
algorithm with {Monteiro--Zhang} unified search directions",
journal = "S{\= u}rikaisekikenky{\= u}sho K{\= o}ky{\= u}roku",
volume = "1004",
year = "1997",
pages = "153--167"
}
@article{ipm:Shindoh1,
author = "S. Shindoh",
title = "Semidefinite program {(SDP)}--primal--dual interior point
algorithms",
journal = "Journal of the Japan Society for Simulation Technology",
volume = "16",
year = "1997",
pages = "46--52",
note = "(In Japanese)"
}
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author = "M. Shub",
title = "On the asymptotic behavior of the projective rescaling
algorithm for linear programming",
journal = "Journal of Complexity",
volume = "3",
year = "1987",
pages = "258--269"
}
@techreport{ipm:Shub2,
author = "M. Shub",
title = "Boundary and asymptotic behavior of interior point methods for
linear programming",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Washington,
DC, USA}",
year = "1988",
month = "April",
institution = "IBM~T.~J.~Watson Research Center",
address = "Yorktown Heights, NY~10598, USA",
note = "See Megiddo and Shub \cite{ipm:Megiddo12}"
}
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key = "Siam",
title = "New algorithm stirs interest",
journal = "SIAM News",
volume = "13",
number = "1",
year = "1985",
month = "January",
pages = "1, 17"
}
@inbook{ipm:Sierksma1,
author = "G. Sierksma",
title = "Linear and Integer Programming\,: Theory and Practice",
chapter = "5\,: {Karmarkar's} method for linear programming\,: {The}
interior path version, based on Roos' lecture notes",
year = "1996",
pages = "462--515",
series = "Monographs and Textbooks in Pure and Applied Mathematics",
volume = "198",
publisher = "Marcel Dekker, Inc.",
address = "New York, NY, USA"
}
@article{ipm:Silva1,
author = "{A. de} Silva and D. A. Abramson",
title = "A parallel interior point method and its application to facility
location problems",
journal = "Computational Optimization and Applications",
volume = "9",
year = "1998",
pages = "249--273"
}
@incollection{ipm:Silva2,
author = "{A. de} Silva and D. A. Abramson",
title = "Parallel algorithms for solving stochastic linear programs",
booktitle = "{Parallel and Distributed Computing Handbook}",
editor = "A. Y. Zomaya",
year = "1996",
pages = "",
publisher = "McGraw--Hill",
address = "New York, NY, USA"
}
@incollection{ipm:Simantiraki1,
author = "E. M. Simantariki and D. F. Shanno",
title = "An infeasible-interior-point method for solving mixed
complementarity problems",
booktitle = "Complementarity and Variational Problems\,:
State--of--the--Art (Baltimore 1995)",
editor = "M. C. Ferris and J.--S. Pang",
year = "1997",
pages = "386--404",
publisher = "SIAM Publications",
address = "Philadelphia, PA, USA"
}
@article{ipm:Simantiraki2,
author = "E. M. Simantiraki and D. F. Shanno",
title = "An infeasible--interior--point method for linear complementarity
problems",
journal = "SIAM Journal on Optimization",
volume = "7",
year = "1997",
pages = "620--640",
url = "http://www.siam.org/journal/siopt/7--3/28288.html"
}
@article{ipm:Singh1,
author = "D. Singh and J. N. Singh",
title = "Some remarks on {Karmarkar's} algorithm for linear programming",
journal = "Journal of the Bihar Mathematical Society",
volume = "11",
year = "1987/88",
pages = "85--90"
}
@techreport{ipm:Singh2,
author = "J. N. Singh and D. Singh",
title = "A modified termination rule for {Karmarkar's} algorithm",
type = "{Talk held at the Fourth SIAM Conference on Optimization in Chicago,
IL, USA}",
year = "1992",
month = "May",
institution = "College of Business Management, Indian Institute of
Technology",
address = "India"
}
@article{ipm:Singh3,
author = "J. N. Singh and S. Ranjan and D. Singh",
title = "A modified termination rule for {Karmarkar's} algorithm",
journal = "Journal of Information \& Optimization Sciences",
volume = "16",
year = "1995",
pages = "585--591"
}
@techreport{ipm:Singh4,
author = "A. Singh",
title = "A comparison of barrier function methods with {Lagrangian} method
for nonlinear programming",
type = "{Talk held at the Fourth SIAM Conference on Optimization in Chicago,
IL, USA}",
year = "1992",
month = "May",
institution = "University of Waterloo",
address = "Waterloo, Canada"
}
@mastersthesis{ipm:Singh5,
author = "A. Singh",
title = "A trust region method for large--scale engineering
optimization using barrier/potential function models",
year = "1992",
school = "University of Waterloo",
address = "Waterloo, Ontario, Canada"
}
@article{ipm:Singh6,
author = "J. N. Singh and D. Singh",
title = "A variant of {Karmarkar's} algorithm for linear programming",
journal = "Journal of the Bihar Mathematical Society",
volume = "15",
year = "1992",
pages = "21--31"
}
@article{ipm:Singh7,
author = "D. Singh and J. N. Singh",
title = "Convergence in in {Karmarkar's} algorithm\,: {A} review",
journal = "International Journal of Mathematical Education in Science and
Technology",
volume = "25",
year = "1994",
pages = "333--341"
}
@article{ipm:Singh8,
author = "J. N. Singh",
title = "On the completeness of {Karmarkar's} simplex",
journal = "Mathematical Education",
volume = "27",
number = "3",
year = "1993",
pages = "165--167"
}
@article{ipm:Singh9,
author = "H. Singh and F. L. Alvarado",
title = "Weighted least absolute value state estimation using interior
point methods",
journal = "IEEE Transactions on Power Systems (PWRS)",
volume = "9",
year = "1994",
pages = "1478--1484"
}
@article{ipm:Singh10,
author = "J. N. Singh and D. Singh",
title = "Some remarks on {Karmarkar's} projective transformation",
journal = "Acta Ciencia Indica Mathematics",
volume = "20",
year = "1994",
pages = "271--274"
}
@article{ipm:Singh11,
author = "J. N. Singh and D. Singh",
title = "Some remarks on {Karmarkar's} simplex and projective
transformation",
journal = "Acta Ciencia Indica Mathematics",
volume = "20",
year = "1994",
pages = "297--299"
}
@article{ipm:Singh12,
author = "J. N. Singh and D. Singh",
title = "A convergence result for {Karmarkar's} algorithm for linear
programming",
journal = "Journal of the Bihar Mathematical Society",
volume = "13",
year = "1990",
pages = "35--37"
}
@article{ipm:Singh13,
author = "J. N. Singh and D. Singh",
title = "Some remarks on the choice of step lengths in {Karmarkar's}
algorithm",
journal = "Acta Ciencia Indica Mathematics",
volume = "21",
year = "1995",
pages = "53--58"
}
@inproceedings{ipm:Sinha1,
author = "L. P. Sinha and B. A. Freedman and N. K. Karmarkar and A. Puchta
and K. G. Ramakrishnan",
title = "Overseas network planning---{A}pplication of {Karmarkar's}
algorithm",
booktitle = "Proceedings of NETWORK~'86 Conference, Tarpon Spring, FL, USA",
year = "1986",
month = "June",
pages = "8.2.1--8.2.4"
}
@techreport{ipm:Slutsman1,
author = "L. Slutsman",
title = "Implementation of primal--dual series algorithm for convex
separable quadratic programming",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in New York, NY,
USA}",
year = "1989",
month = "October",
institution = "AT~\&~T~Bell Laboratories",
address = "Holmdel, NJ~07733, USA"
}
@incollection{ipm:Snyman1,
author = "J. A. Snyman and M. van Royen",
title = "A multiplex algorithm for linear programming problems",
booktitle = "System Modelling and Optimization~ Proceedings of the 13th
IFIP Conference, Tokyo, Japan, Aug./Sept.~1987",
editor = "M. Iri and K. Yajima",
year = "1988",
pages = "177--186",
series = "Lecture Notes in Control and Information Sciences",
volume = "113",
publisher = "Springer Verlag",
address = "Berlin, Germany"
}
@article{ipm:Snyman2,
author = "J. A. Snyman",
title = "An interior feasible direction method with constraint projections
for linear programming",
journal = "Computers and Mathematics with Applications",
volume = "20",
number = "12",
year = "1990",
pages = "43--54"
}
@incollection{ipm:Sonnevend1,
author = "G. Sonnevend",
title = "A new method for solving a set of linear (convex) inequalities and
its applications for identification and optimization",
booktitle = "Proceedings of the 5th IFAC--IFORS Conference held in Budapest,
Hungaria, June 1986",
editor = "B. Martos",
year = "1987",
publisher = "Pergamon Press",
address = "Oxford, United Kingdom"
}
@incollection{ipm:Sonnevend2,
author = "G. Sonnevend",
title = "An ``analytic center'' for polyhedrons and new classes of global
algorithms for linear (smooth, convex) programming",
booktitle = "System Modelling and Optimization\,: Proceedings of the 12th
IFIP--Conference held in Budapest, Hungary, September 1985",
editor = "A. Prekopa and J. Szelezsan and B. Strazicky",
year = "1986",
pages = "866--876",
series = "Lecture Notes in Control and Information Sciences",
volume = "84",
publisher = "Springer Verlag",
address = "Berlin, Germany"
}
@incollection{ipm:Sonnevend3,
author = "G. Sonnevend",
title = "New algorithms in convex programming based on a notion of
''centre'' (for systems of analytic inequalities) and on rational
extrapolation",
booktitle = "Trends in Mathematical Optimization\,: Proceedings of the
4th French--German Conference on Optimization in Irsee, Germany, April
1986",
editor = "K. H. Hoffmann and J. B. Hiriat--Urruty and C. Lemarechal and
J. Zowe",
year = "1988",
pages = "311--327",
series = "International Series of Numerical Mathematics",
volume = "84",
publisher = "Birkh{\"a}user Verlag",
address = "Basel, Switzerland"
}
@techreport{ipm:Sonnevend4,
author = "G. Sonnevend",
title = "Application of analytic centers to the design of observers and
feedback controllers",
type = "{Talk held at the First International Symposium on Interior Point
Methods for Linear Programming\,: Theory and Practice, in Scheveningen, The
Netherlands}",
year = "1990",
month = "January",
institution = "Institut f{\"u}r Angewandte Mathematik und Statistik,
Universit{\"a}t W{\"u}rzburg",
address = "Am Hubland, D--97074 W{\"u}rzburg, Germany"
}
@article{ipm:Sonnevend5,
author = "G. Sonnevend and J. Stoer",
title = "Global ellipsoid approximations and homotopy methods for solving
convex analytic programs",
journal = "Applied Mathematics~\&~Optimization",
volume = "21",
year = "1990",
pages = "139--166"
}
@article{ipm:Sonnevend6,
author = "G. Sonnevend and J. Stoer and G. Zhao",
title = "On the complexity of following the central path by linear
extrapolation in linear programming",
journal = "Methods of Operations Research",
volume = "62",
year = "1990",
pages = "19--31"
}
@article{ipm:Sonnevend7,
author = "G. Sonnevend",
title = "Applications of the notion of analytic center in approximation
(estimation) problem",
journal = "Journal of Computational and Applied Mathematics",
volume = "28",
year = "1989",
pages = "349--358"
}
@incollection{ipm:Sonnevend8,
author = "G. Sonnevend",
title = "Applications of analytic centers for the numerical solution of
semi--infinte, convex programs arising in control theory",
booktitle = "System Modelling and Optimization\,: Proceedings of the 14th
IFIP--Conference, Leipzig, East--Germany, July 1989",
editor = "H. J. Sebastian and K. Tammer",
year = "1990",
pages = "413--422",
series = "Lecture Notes in Control and Information Sciences",
volume = "143",
publisher = "Springer Verlag",
address = "Berlin, Germany"
}
@article{ipm:Sonnevend9,
author = "G. Sonnevend and J. Stoer and G. Zhao",
title = "On the complexity of following the central path of linear
programs by linear extrapolation~{II}",
journal = "Mathematical Programming",
volume = "52",
year = "1991",
pages = "527--553"
}
@incollection{ipm:Sonnevend10,
author = "G. Sonnevend",
title = "Application of analytic centers to feedback design for systems with
uncertainties",
booktitle = "Control of Uncertain Systems",
editor = "D. Hinrichsen and B. Martensson",
year = "1989",
pages = "271--289",
publisher = "Birkh{\"a}user Verlag",
address = "Basel, Switzerland"
}
@incollection{ipm:Sonnevend11,
author = "G. Sonnevend",
title = "Applications of analytic centers",
booktitle = "Numerical Linear Algebra, Digital Signal Processing and
Parallel Algorithms",
editor = "{P. van} Dooren and G. Golub",
series = "NATO ASI Series F\,: Computer and Systems Sciences",
volume = "70",
year = "1991",
pages = "617--632",
publisher = "Springer Verlag",
address = "Berlin, Germany"
}
@incollection{ipm:Sonnevend12,
author = "G. Sonnevend",
title = "Construction and implementation of a central path following
algorithm for semifinte convex programs in {MATLAB}",
booktitle = "Symposium on Applied Mathematical Programming and Modeling
(APMOD '93), Budapest, Hungary, January 1993, Volume of Extended Abstracts",
editor = "I. Maros",
year = "1992",
month = "December",
pages = "541",
publisher = "Computer and Automation Institute, Hungarian Academy of
Sciences",
address = "Budapest, Hungary"
}
@incollection{ipm:Sonnevend13,
author = "G. Sonnevend",
title = "A new class of a high order interior point method for the solution
of convex semi--infinite optimization problems",
booktitle = "Computational Optimal Control (Munich 1992)",
editor = "R. Bulirsch and D. Kraft",
year = "1994",
pages = "193--211",
series = "International Series in Numerical Mathematics (ISNM)",
volume = "115",
publisher = "Birkh{\"a}user Verlag",
address = "Basel, Switzerland"
}
@techreport{ipm:Sonnevend14,
author = "G. Sonnevend and J. Stoer and G. Zhao",
title = "Subspace methods for solving linear programming problems",
type = "{Technical Report}",
year = "1994",
month = "January",
institution = "Institut f{\"u}r Angewandte Mathematik und Statistik,
Universit{\"a}t W{\"u}rzburg",
address = "Am Hubland, D--97074~W{\"u}rzburg, Germany"
}
@article{ipm:Spedicato1,
author = "E. Spedicato and S. Nicolai and Y. Zhao",
title = "A faster method for computing {Karmarkar's} projections for large
number of constraints",
journal = "Optimization",
volume = "40",
year = "1997",
pages = "343--350"
}
@article{ipm:Spencer1,
author = "P. Spencer and L. Kersley and S. E. Pryse",
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journal = "Radio Science",
volume = "33",
year = "1998",
pages = "607--616"
}
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key = "Spiegel",
title = "{Neuer Dampf (New power)}",
journal = "Der Spiegel",
volume = "38",
number = "49",
year = "1984",
pages = "239--240",
note = "(In German)"
}
@incollection{ipm:Sridhar1,
author = "P. Sridhar and U. R. P. Kumar and A. K. Pujari",
title = "Neural implementation of {Karmarkar's} algorithm",
booktitle = "Proceedings of the IEEE International Symposium on Circuits and
Systems, Singapore, June 1991",
year = "1991",
pages = "1617--1620",
publisher = "IEEE New York",
address = "New York, NY, USA"
}
@mastersthesis{ipm:Steger1,
author = "A. E. Steger",
title = "An extension of {Karmarkar's} algorithm for bounded linear
programming problems",
year = "1985",
month = "August",
school = "Department of Applied Mathematics, State University of New
York",
address = "Stony Brook, NY~11794, USA",
note = "Condensed version in\,: H. Schellhaas, {P. van} Beek,
H. Isermann, R. Schmidt and M. Zijlstra, editors, {\em Operations
Research Proceedings 1987}, pages 88--95, Springer Verlag, Berlin,
Germany, 1988"
}
@incollection{ipm:Steinbach1,
author = "M. C. Steinbach",
title = "A structured interior point {SQP} method for nonlinear
optimal control problems",
booktitle = "Computational Optimal Control (Munich 1992)",
editor = "R. Bulirsch and D. Kraft",
year = "1994",
pages = "213--222",
series = "International Series in Numerical Mathematics (ISNM)",
volume = "115",
publisher = "Birkh{\"a}user Verlag",
address = "Basel, Switzerland"
}
@techreport{ipm:Stephen1,
author = "T. Stephen and L. Tun{\c{c}}el",
title = "On a representation of the matching polytope via semidefinite
liftings",
type = "{Reseach Report}",
number = "97--11",
year = "1997",
month = "July",
institution = "Department of Combinatorics and Optimization, University of
Waterloo",
address = "Waterloo, Ontario~N2L~3G1, Canada"
}
@techreport{ipm:Stewart1,
author = "D. E. Stewart and S. J. Wright",
title = "Monotone convergent methods for a variational inequality",
type = "{Advanced Computing Technical Report Series}",
number = "3--09--91",
year = "1991",
month = "September",
institution = "Australian National University"
}
@article{ipm:Stipp1,
author = "D. Stipp",
title = "{AT~\&~T} problem--solving math procedure passes early tests of its
practical value",
journal = "The Wallstreet Journal",
year = "1985",
month = "March~5,"
}
@techreport{ipm:Stoer1,
author = "J. Stoer",
title = "{Innere--Punkte--Verfahren und ihre Komplexit{\"at}} {(Interior}
point methods and their complexity)",
type = "{Talk held at the DGOR--Jahrestagung in Vienna, Austria}",
year = "1990",
month = "August",
institution = "Institut f{\"u}r Angewandte Mathematik und Statistik,
Universit{\"a}t W{\"u}rzburg",
address = "Am Hubland, D--97074~W{\"u}rzburg, Germany"
}
@techreport{ipm:Stoer2,
author = "J. Stoer",
title = "Complexity bounds for interior point methods to solve linear
programs",
type = "{Talk held at the Symposium on Mathematical Programming in
Oberwolfach, Germany}",
year = "1990",
month = "January",
institution = "Institut f{\"u}r Angewandte Mathematik und Statistik,
Universit{\"a}t W{\"u}rzburg",
address = "Am Hubland, D--97074~W{\"u}rzburg, Germany"
}
@incollection{ipm:Stoer3,
author = "J. Stoer",
title = "{Innere--Punkte--Verfahren zur L{\"o}sung quadratischer
Optimierungsprobleme und ihre Komplexit{\"a}t (Interior point methods for
solving quadratic optimization problems and their complexity)}",
booktitle = "{Informatik und Mathematik}",
editor = "M. Broy",
year = "1991",
pages = "137--141",
publisher = "Springer Verlag",
address = "Berlin, Germany",
note = "(In German)"
}
@incollection{ipm:Stoer4,
author = "J. Stoer",
title = "On interior--point methods for solving linear programs and their
complexity",
booktitle = "{Mathematical Theory of Control\,: Proceedings of the
Mathematical Theory of Control Symposium in Bombay (India) 1990}",
year = "1993",
pages = "337--352",
editor = "M. C. Joshi",
series = "Lecture Notes in Pure and Applied Mathematics",
volume = "142",
publisher = "Marcel Dekker, Inc.",
address = "New York, USA"
}
@techreport{ipm:Stoer5,
author = "J. Stoer",
title = "The complexity of an exterior point path--following method for
the solution of linear programs",
type = "{Working Paper}",
year = "1992",
institution = "Institut f{\"u}r Angewandte Mathematik und Statistik,
Universit{\"a}t W{\"u}rzburg",
address = "Am Hubland, D--97074~W{\"u}rzburg, Germany",
note = "See also Stoer \cite{ipm:Stoer6}"
}
@article{ipm:Stoer6,
author = "J. Stoer",
title = "The complexity of an infeasible interior--point path--following
method for the solution of linear programs",
journal = "Optimization Methods and Software",
volume = "3",
year = "1994",
pages = "1--12",
note = "See also Stoer \cite{ipm:Stoer5}"
}
@incollection{ipm:Stoer7,
author = "J. Stoer",
title = "Infeasible interior point methods for solving linear programs",
booktitle = "Algorithms for Continuous Optimization\,: The
State--of--the--Art (Il Ciocco, Barga, Italy, September 1993)",
editor = "E. Spedicato",
year = "1994",
pages = "415--434",
series = "NATO Advanced Science Institute Series C\,: Mathematical and
Physical Sciences",
volume = "434",
publisher = "Kluwer Academic Publishers",
address = "Dordrecht, The Netherlands"
}
@techreport{ipm:Stoer8,
author = "J. Stoer and M. Wechs and S. Mizuno",
title = "High order infeasible--interior--point methods for solving
sufficient linear complementarity problems",
type = "{Research Memorandum}",
number = "634",
year = "1997",
month = "February",
institution = "The Institute of Statistical Mathematics",
address = "4--6--7 Minami--Azabu, Minato--Ku, Tokyo~106, Japan"
}
@article{ipm:Stoer9,
author = "J. Stoer and M. Wechs",
title = "Infeasible--interior--point paths for sufficient linear
complexity problems and their analyticity",
journal = "Mathematical Programming",
volume = "83",
year = "1998",
pages = "407--424"
}
@article{ipm:Stoer10,
author = "J. Stoer and M. Wechs",
title = "The complexity of high--order predictor--corrector methods for
solving sufficient linear complementarity problems",
journal = "Optimization Methods and Software",
volume = "10",
year = "1998",
pages = "393--417"
}
@techreport{ipm:Stone1,
author = "R. E. Stone and C. A. Tovey",
title = "Karmarkar's algorithm as a generalization of simplex",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Los Angeles,
CA, USA}",
year = "1986",
month = "April",
institution = "Graduate School of Business Administration, Harvard
University",
address = "Boston, MA~02163, USA"
}
@techreport{ipm:Stone2,
author = "R. E. Stone",
title = "Karmarkar's algorithm",
type = "{Unpublished Report}",
year = "1985",
number = "",
institution = "Graduate School of Business Administration, Harvard
University",
address = "Boston, MA~02163, USA"
}
@article{ipm:Stone3,
author = "R. E. Stone and C. A. Tovey",
title = "The simplex and projective scaling algorithms as iteratively
reweighted least squares methods",
journal = "SIAM Review",
volume = "33",
number = "2",
year = "1991",
month = "June",
pages = "220--237",
note = "Errata in {\em SIAM Review} 33(3):461, September 1991"
}
@techreport{ipm:Stone4,
author = "R. E. Stone and M. H. Wright",
title = "Recent developments in linear and nonlinear programming",
type = "{Short Course held at the Third SIAM Conference on Optimization in
Boston, MA, USA}",
year = "1989",
month = "April",
institution = "AT\&T Bell Laboratories",
address = "Holmdel, NJ~07733, USA"
}
@article{ipm:Strang1,
author = "G. Strang",
title = "Karmarkar's algorithm in a nutshell",
journal = "SIAM News",
volume = "18",
number = "6",
year = "1985",
month = "November",
pages = "13"
}
@inbook{ipm:Strang2,
author = "G. Strang",
title = "Introduction to Applied Mathematics",
chapter = "8.2\,: The simplex method and {Karmarkar's} method",
year = "1986",
pages = "673--689",
publisher = "Wellesley--Cambridge--Press",
address = "Cambridge, MA, USA"
}
@article{ipm:Strang3,
author = "G. Strang",
title = "Karmarkar's algorithm and its place in applied mathematics",
journal = "The Mathematical Intelligencer",
volume = "9",
number = "2",
year = "1987",
pages = "4--10"
}
@article{ipm:Sturm1,
author = "J. F. Sturm and S. Zhang",
title = "A potential reduction method for harmonically convex programming",
journal = "Journal of Optimization Theory and Applications",
volume = "84",
year = "1995",
pages = "181--205"
}
@incollection{ipm:Sturm2,
author = "J. F. Sturm and S. Zhang",
title = "A dual and interior point approach to solve convex min--max
problems",
booktitle = "Minimax and Applications",
editor = "D.--Z. Du and P. M. Pardalos",
year = "1995",
pages = "69--78",
series = "Nonconvex Optimization and Its Applications",
volume = "5",
publisher = "Kluwer Academic Publishers",
address = "Dordrecht, The Netherlands"
}
@article{ipm:Sturm3,
author = "J. F. Sturm and S. Zhang",
title = "New complexity results for the {Iri--Imai} method",
journal = "Annals of Operations Research",
volume = "62",
year = "1996",
pages = "539--564"
}
@article{ipm:Sturm4,
author = "J. F. Sturm and S. Zhang",
title = "An $O(\sqrt{n}\,L)$ iteration bound primal--dual cone affine
scaling algorithm for linear programming",
journal = "Mathematical Programming",
volume = "72",
year = "1996",
pages = "177--194"
}
@mastersthesis{ipm:Sturm5,
author = "J. F. Sturm",
title = "The scaling potential reduction method",
year = "1993",
school = "Department of Econometrics, University of Groningen",
address = "NL--9700~AV~Groningen, The Netherlands"
}
@article{ipm:Sturm6,
author = "J. F. Sturm and S. Zhang",
title = "On a wide region of centers and primal--dual interior point
algorithms for linear programming",
journal = "Mathematics of Operations Research",
volume = "22",
year = "1997",
pages = "408--431"
}
@techreport{ipm:Sturm7,
author = "J. F. Sturm and S. Zhang",
title = "Symmetric primal--dual path--following algorithms for semidefinite
programming",
type = "{Technical Report}",
number = "9554/A",
year = "1995",
institution = "Economic Institute, Erasmus University Rotterdam",
address = "NL--3000~DR~Rotterdam, The Netherlands"
}
@article{ipm:Sturm8,
author = "J. F. Sturm and S. Zhang",
title = "An interior point method, based on rank--1 updates, for linear
programming",
journal = "Mathematical Programming",
volume = "81",
year = "1998",
pages = "77--87"
}
@techreport{ipm:Sturm9,
author = "J. F. Sturm and S. Zhang",
title = "On the long--step path--following method for semidefinite
programming",
type = "{Technical Report}",
number = "",
year = "1996",
institution = "Economic Institute, Erasmus University Rotterdam",
address = "NL--3000~DR~Rotterdam, The Netherlands"
}
@techreport{ipm:Sturm10,
author = "J. F. Sturm",
title = "Superlinear convergence of an algorithm for monotone linear
complementarity problems when no strictly complementary solution exists",
type = "{Technical Report}",
number = "9596/A",
year = "1996",
month = "September",
institution = "Economic Institute, Erasmus University Rotterdam",
address = "NL--3000~DR~Rotterdam, The Netherlands"
}
@techreport{ipm:Sturm11,
author = "J. F. Sturm and S. Zhang",
title = "On weighted centers for semidefinite programming",
type = "{Technical Report}",
number = "9636/A",
year = "1996",
institution = "Economic Institute, Erasmus University Rotterdam",
address = "NL--3000~DR~Rotterdam, The Netherlands"
}
@techreport{ipm:Sturm12,
author = "J. F. Sturm and S. Zhang",
title = "On the long--step path--following method for semidefinite
programming",
type = "{Technical Report}",
number = "9638/A",
year = "1996",
institution = "Economic Institute, Erasmus University Rotterdam",
address = "NL--3000~DR~Rotterdam, The Netherlands"
}
@phdthesis{ipm:Sturm13,
author = "J. F. Sturm",
title = "Primal--dual interior point approach to semidefinite
programming",
year = "1997",
school = "Tinbergen Institute",
address = "Amsterdam, The Netherlands",
url = "http://www.cs.few.eur.nl/few/people/sturm/thesis/thesis.html"
}
@techreport{ipm:Sturm14,
author = "J. F. Sturm",
title = "Using {SeDuMi\,1.02}, a {MATLAB} for optimization over
symmetric cones",
type = "{Technical Report}",
number = "",
year = "1998",
month = "August",
institution = "Communications Research Laboratory, McMaster
University",
address = "1280~Main Street West, Hamilton, Ontario~L8S\,4K1, Canada"
}
@techreport{ipm:Sturm15,
author = "J. F. Sturm",
title = "Similarity and other spectral relations for symmetric cones",
type = "{Technical Report}",
number = "",
year = "1998",
month = "July",
institution = "Communications Research Laboratory, McMaster
University",
address = "1280~Main Street West, Hamilton, Ontario~L8S\,4K1, Canada"
}
@techreport{ipm:Sturm16,
author = "J. F. Sturm",
title = "Error bounds for linear matrix inequalities",
type = "{Technical Report}",
number = "",
year = "1998",
month = "May",
institution = "Communications Research Laboratory, McMaster
University",
address = "1280~Main Street West, Hamilton, Ontario~L8S\,4K1, Canada"
}
@techreport{ipm:Sun1,
author = "J. Sun",
title = "An affine--scaling method for linearly constrained convex programs",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Nashville,
Tennessee, USA}",
year = "1991",
month = "May",
institution = "Department of Industrial Engineering and Management
Science, Northwestern University",
address = "Evanston, IL~60208, USA"
}
@article{ipm:Sun2,
author = "J. Sun and L. Qi",
title = "An interior point algorithm of {$O(\sqrt{n} |\ln\varepsilon |)$}
iterations for {$C^{1}$}--convex programming",
journal = "Mathematical Programming",
volume = "57",
year = "1992",
pages = "239--257"
}
@article{ipm:Sun3,
author = "J. Sun",
title = "A convergence proof for an affine--scaling algorithm for convex
quadratic programming without nondegeneracy assumptions",
journal = "Mathematical Programming",
volume = "60",
year = "1993",
pages = "69--79"
}
@article{ipm:Sun4,
author = "J. Sun",
title = "A convergence analysis for a convex version of {Dikin's} algorithm",
journal = "Annals of Operations Research",
volume = "62",
year = "1996",
pages = "357--374"
}
@article{ipm:Sun5,
author = "J. Sun and J. Zhu and G. Zhao",
title = "A predictor--corrector algorithm for a class of nonlinear saddle
point problems",
journal = "SIAM Journal on Control and Optimization",
volume = "35",
year = "1997",
pages = "532--551"
}
@techreport{ipm:Sun6,
author = "J. Sun and J. Zhu and W. K. Eng",
title = "Computational experiments on {ELQP} problems using interior point
methods",
type = "{Technical Report}",
year = "1995",
institution = "Department of Mathematics, National University of Singapore",
address = "Singapore~0511"
}
@techreport{ipm:Sun7,
author = "J. Sun and J. Zhu and G. Zhao",
title = "A quadratically convergent polynomial long--step algorithm for a
class of nonlinear monotone complementarity problems",
type = "{Technical Report}",
year = "1996",
month = "January",
institution = "Department of Mathematics, National University of Singapore",
address = "Singapore~0511"
}
@article{ipm:Sun8,
author = "J. Sun and G. Zhao",
title = "Global linear and local quadratic convergence of a long--step
adaptive--mode interior point method for some monotone variational
inequality problems",
journal = "SIAM Journal on Optimization",
volume = "8",
year = "1998",
pages = "123--139",
}
@article{ipm:Sun9,
author = "J. Sun and J. Zhu",
title = "A predictor--corrector method for extended linear--quadratic
programming",
journal = "Computers and Operations Research",
volume = "23",
year = "1996",
pages = "755--767"
}
@techreport{ipm:Sun10,
author = "J. Sun and G. Zhao",
title = "A quadratically convergent long--step interior--point method for
nonlinear monotone variational inequality problems",
type = "{Technical Report}",
year = "1996",
month = "April",
institution = "Department of Mathematics, National University of Singapore",
address = "Singapore~0511"
}
@incollection{ipm:Sun11,
author = "J. Sun and K.--E. Wee and J. Zhu",
title = "An interior point method for solving a class of linear--quadratic
stochastic programming problems",
booktitle = "Recent Advances in Nonsmooth Optimization",
editor = "D.--Z. Du and L. Qi and R. S. Womersley",
year = "1995",
pages = "392--404",
publisher = "World Scientific Publishing Co.",
address = "River Edge, NJ~07661, USA"
}
@article{ipm:Swart1,
author = "E. R. Swart",
title = "How {I} implemented the {Karmarkar} algorithm in one evening",
journal = "APL Quote Quad",
volume = "15",
number = "3",
year = "1985",
pages = "13--16"
}
@techreport{ipm:Swart2,
author = "E. R. Swart",
title = "A modified version of the {Karmarkar} algorithm",
type = "{Research Report in Mathematics}",
number = "98",
year = "1985",
institution = "Department of Mathematics and Statistics, University of
Guelph",
address = "Guelph, Ontario~N1G~2W1, Canada"
}
@article{ipm:Szymanski1,
author = "P. T. Szymanski and M. D. Lemmon",
title = "Interior point methods in the design of hierarchical
controllers",
journal = "Proceedings of the 1994 IEEE International Symposium on
Intelligent Control (Columbus, Ohio, USA, August 1994)",
year = "1994",
pages = "33--38"
}
@phdthesis{ipm:Tachat1,
author = "D. Tachat",
title = "Methodes interieures en programmation lineaire\,: {Elaboration} et
mise en oeuvre de procedures de projection exacte et approchee {(Interior
point methods for linear programming\,: Computing exact and approximate
projections)}",
year = "1991",
school = "Laboratoire de Analyse et Modelisation de Systemes pour l'Aide a
la Decision (LAMSADE), Universite de Paris Dauphine",
address = "F--75775~Paris~Cedex~16, France",
note = "(In French)"
}
@article{ipm:Takehara1,
author = "H. Takehara",
title = "An interior point algorithm for large scale portfolio optimization",
journal = "Annals of Operations Research",
volume = "45",
year = "1993",
pages = "373--386"
}
@phdthesis{ipm:Tamiz1,
author = "M. Tamiz",
title = "Design, implementation and testing a general linear programming
system exploiting sparsity",
year = "1986",
school = "Department of Mathematics and Statistics, Brunel University",
address = "Uxbridge, Middlesex~UB8\,3PH, United Kingdom"
}
@article{ipm:Tamura1,
author = "A. Tamura and H. Takehara and K. Fukuda and S. Fujishige and
M. Kojima",
title = "A dual interior primal simplex method for linear programming",
journal = "Journal of the Operations Research Society of Japan",
volume = "31",
year = "1988",
pages = "413--429"
}
@article{ipm:Tamura2,
author = "T. E. Tamura",
title = "Characteristics of {Karmarkar} method compared with simplex
method",
journal = "Bulletin of Nagoya Institute of Technology (Nagoya, Japan)",
volume = "38",
year = "1986",
pages = "251--256",
note = "(In Japanese)"
}
@techreport{ipm:Tan1,
author = "K. C. Tan and R. M. Freund",
title = "Newton's method for general parametric center problem with
applications",
type = "{Technical Report}",
number = "RR~457",
year = "1991",
institution = "Department of Mathematics, National University of
Singapore",
address = "Singapore~0511"
}
@inproceedings{ipm:Tanabe1,
author = "K. Tanabe",
title = "Complementarity--enforced centered {N}ewton method for
mathematical programming",
booktitle = "New Methods for Linear Programming",
editor = "K. Tone",
year = "1987",
pages = "118--144",
address = "The Institute of Statistical Mathematics, 4--6--7~Minami
Azabu, Minatoku, Tokyo~106, Japan"
}
@incollection{ipm:Tanabe2,
author = "K. Tanabe",
title = "Centered {Newton} method for mathematical programming",
booktitle = "System Modelling and Optimization\,: Proceedings of the 13th
IFIP Conference, Tokyo, Japan, Aug./Sept.~1987",
editor = "M. Iri and K. Yajima",
year = "1988",
pages = "197--206",
series = "Lecture Notes in Control and Information Sciences",
volume = "113",
publisher = "Springer Verlag",
address = "Berlin, Germany"
}
@techreport{ipm:Tanabe3,
author = "K. Tanabe",
title = "Centered {N}ewton method for linear programming exterior point
method",
type = "{Talk held at the First International Symposium on Interior Point
Methods for Linear Programming\,: Theory and Practice, in Scheveningen, The
Netherlands}",
year = "1990",
month = "January",
institution = "The Institute of Statistical Mathematics",
address = "4--6--7~Minami Azabu, Minatoku, Tokyo~106, Japan"
}
@techreport{ipm:Tanabe4,
author = "K. Tanabe",
title = "Center flattening transformation and a centered {N}ewton method for
linear programming",
type = "{Technical Report}",
year = "1987",
institution = "The Institute of Statistical Mathematics",
address = "4--6--7~Minami Azabu, Minatoku, Tokyo~106, Japan"
}
@article{ipm:Tanabe5,
author = "K. Tanabe and T. Tsuchiya",
title = "Global analysis of dynamical systems associated with {Karmarkar's}
method for linear programming",
journal = "Proceedings of the Annual Meeting of the Operations Research
Society of Japan",
year = "1987",
pages = "132--133"
}
@article{ipm:Tanabe6,
author = "K. Tanabe",
title = "Centered {Newton} method for liner programming and quadratic
programming",
journal = "Proceedings of the 8th Mathematical Programming Symposium in
Japan",
year = "1987",
pages = "131--152"
}
@incollection{ipm:Tanabe7,
author = "K. Tanabe",
title = "Centered {Newton} method for linear programming\,: {Interior} and
{''exterior''} point method",
booktitle = "New Methods for Linear Programming~3",
editor = "K. Tone",
year = "1990",
pages = "98--100",
publisher = "Institute of Statistical Mathematics",
address = "Tokyo, Japan",
note = "In Japanese"
}
@techreport{ipm:Tanabe8,
author = "K. Tanabe",
title = "Center {Newton} methods and differential geometry of optimization",
type = "{Cooperative Research Report}",
number = "89",
year = "1996",
institution = "The Institute of Statistical Mathematics",
address = "4--6--7~Minami Azabu, Minatoku, Tokyo~106, Japan",
note = "Contains 38 references related to the subject"
}
@article{ipm:Tang1,
author = "H.--W. Tang and G.--B. Li",
title = "Karmarkar's algorithm and fractional linear programming",
journal = "Journal of the Dalian Institute of Technology",
volume = "25",
year = "1986",
pages = "79--83 (suppl.)",
note = "(In Chinese)"
}
@article{ipm:Tapia1,
author = "R. A. Tapia",
title = "Current research in numerical optimization",
journal = "SIAM News",
volume = "20",
year = "1987",
month = "March",
pages = "10--11"
}
@techreport{ipm:Tapia2,
author = "R. A. Tapia",
title = "Accelerating interior--point methods",
type = "{Talk held at the Symposium on Mathematical Programming in
Oberwolfach, Germany}",
year = "1990",
month = "January",
institution = "Department of Mathematical Sciences, Rice University",
address = "Houston, TX~77251, USA"
}
@techreport{ipm:Tapia3,
author = "R. A. Tapia and Y. Zhang",
title = "An optimal basis identification technique for interior point
linear programming methods",
type = "{Technical Report}",
number = "TR--89--01",
year = "1989",
month = "April",
institution = "Department of Mathematical Sciences, Rice University",
address = "Houston, TX~77251, USA",
note = "Revised September 1990. Essentially contained in Tapia and
Zhang \cite{ipm:Tapia7}"
}
@techreport{ipm:Tapia4,
author = "R. A. Tapia and Y. Zhang",
title = "Accelerating the convergence of interior point methods",
type = "{Talk held at the SIAM Annual Meeting in Chicago, IL, USA}",
year = "1990",
month = "July",
institution = "Department of Mathematical Sciences, Rice University",
address = "Houston, TX~77251, USA"
}
@article{ipm:Tapia5,
author = "R. A. Tapia and Y. Zhang",
title = "A cubically convergent method for locating a nearby vertex in
linear programming",
journal = "Journal of Optimization Theory and Applications",
volume = "67",
year = "1990",
pages = "217--225"
}
@techreport{ipm:Tapia6,
author = "R. A. Tapia and Y. Zhang",
title = "A polynomial and superlinearly convergent primal--dual interior
algorithm for linear programming",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Nashville,
Tennessee, USA}",
year = "1991",
month = "May",
institution = "Department of Mathematical Sciences, Rice University",
address = "Houston, TX~77251, USA"
}
@article{ipm:Tapia7,
author = "R. A. Tapia and Y. Zhang",
title = "An optimal--basis identification technique for interior--point
linear programming algorithms",
journal = "Linear Algebra and Its Applications",
volume = "152",
year = "1991",
pages = "343--363"
}
@article{ipm:Tapia8,
author = "R. A. Tapia and Y. Zhang and M. Saltzman and A. Weiser",
title = "The {Mehrotra} predictor--corrector interior--point method as a
perturbed composite {Newton} method",
journal = "SIAM Journal on Optimization",
volume = "6",
year = "1996",
pages = "47--56"
}
@article{ipm:Tapia9,
author = "R. A. Tapia and Y. Zhang and Y. Ye",
title = "On the convergence of the iteration sequence in primal--dual
interior point methods",
journal = "Mathematical Programming",
volume = "68",
year = "1995",
pages = "141--154"
}
@techreport{ipm:Tapia10,
author = "R. A. Tapia and Y. Zhang",
title = "Interpretation and optimality properties of the {Karmarkar}
algorithm",
type = "{Technical Report}",
number = "(in preparation)",
year = "1992",
institution = "Department of Mathematical Sciences, Rice University",
address = "Houston, TX~77251, USA"
}
@article{ipm:Tapia11,
author = "R. A. Tapia and Y. Zhang",
title = "On the quadratic convergence of the singular {Newton's} method",
journal = "SIAG/OPT Views--and--News, A forum for the SIAM Activity
Group on Optimization",
volume = "1",
year = "1992",
pages = "6--8"
}
@techreport{ipm:Tapia12,
author = "R. A. Tapia",
title = "On the fundamental role of interior--point methodology in
constrained optimization",
type = "{Technical Report}",
number = "TR~97--06",
year = "1997",
institution = "Department of Computational and Applied Mathematics, Rice
University",
address = "Houston, TX~77251, USA"
}
@article{ipm:Tarasov1,
author = "S. P. Tarasov and L. G. Khachiyan and I. I. Erlikh",
title = "The method of inscribed ellipsoids",
journal = "Soviet Mathematics Doklady",
volume = "37",
year = "1988",
pages = "226--230"
}
@article{:Terlaky1,
author = "T. Terlaky",
title = "A {Karmarkar} tipusu algoritmusokrol ({On Karmarkar} type
algorithms)",
journal = "Alkalmazott Matematikai Lapok",
volume = "15",
year = "1990/91",
pages = "133--162",
note = "(In Hungarian, English summary)"
}
@book{ipm:Terlaky2,
author = "T. Terlaky",
title = "{Interior Point Algorithms of Mathematical Programming}",
year = "1996",
series = "Applied Optimization",
volume = "5",
publisher = "Kluwer Academic Publishers",
address = "Dordrecht, The Netherlands"
}
@techreport{ipm:Terlaky3,
author = "T. Terlaky and J.--Ph. Vial",
title = "Computing maximum likelihood estimators of convex density
functions",
type = "{Technical Report}",
number = "95--49",
year = "1995",
institution = "Faculty of Technical Mathematics and Informatics, TU Delft",
address = "NL--2600~GA~Delft, The Netherlands"
}
@techreport{ipm:Terlaky4,
author = "T. Terlaky and T. Tsuchiya",
title = "A note on {Mascarenhas'} counter example about global convergence
of the affine scaling algorithm",
type = "{Research Memorandum}",
number = "596",
year = "1996",
month = "March",
institution = "The Institute of Statistical Mathematics",
address = "4--6--7~Minami--Azabu, Minato--ku, Tokyo~106, Japan"
}
@techreport{ipm:Terlaky5,
author = "T. Terlaky",
title = "An easy way to teach interior--point methods",
type = "{Technical Report}",
number = "98--24",
year = "1998",
institution = "Faculty of Information Technology and Systems Subfaculty
of Technical Mathematics and Informatics, Department of Statistics,
Stochastic and Operations Research Delft University of Technology",
address = "P.O.\,Box\,5031, NL--2600~GA~Delft, The Netherlands"
}
@article{ipm:Thompson1,
author = "R. G. Thompson and P. S. Dharmapala and J. B. Diaz and
M. D. Gonzalez--Lima and R. M. Thrall",
title = "{DEA} multiplier analytic center sensitivity with an illustrative
application to independent oil companies",
journal = "Annals of Operations Research",
volume = "66",
year = "1996",
pages = "163--177"
}
@techreport{ipm:Thys1,
author = "R. Thys and {C. van} Nuffelen",
title = "An implementation of {Karmarkar's} interior point algorithm",
type = "{Working Paper}",
number = "89--124",
year = "1989",
institution = "Department of Economics and Econometrics, University
of Antwerpen",
address = "Antwerpen, Belgium"
}
@incollection{ipm:Tits1,
author = "A. L. Tits and J. L. Zhou",
title = "A simple, quadratically convergent interior point algorithm
for linear programming and convex quadratic programming",
booktitle = "Large--Scale Optimization\,: The State--of--the --Art",
editor = "W. W. Hager and D. W. Hearn and P. M. Pardalos",
year = "1994",
pages = "411--427",
publisher = "Kluwer Academic Publishers",
address = "Dordrecht, The Netherlands"
}
@article{ipm:Todd1,
author = "M. J. Todd",
title = "A review of {N. Karmarkar}",
journal = "Computing Reviews",
volume = "27",
year = "1986",
month = "March",
pages = "95--96"
}
@incollection{ipm:Todd2,
author = "M. J. Todd",
title = "Polynomial algorithms for linear programming",
booktitle = "Advances in Optimization and Control, Proceedings of the
Conference {''Optimization Days '86''} held at Montreal, Quebec, Canada,
April/May 1986",
editor = "H. A. Eiselt",
year = "1988",
pages = "49--66",
series = "Lecture Notes in Economics and Mathematical Systems",
volume = "302",
publisher = "Springer Verlag",
address = "Berlin, Germany"
}
@article{ipm:Todd3,
author = "M. J. Todd",
title = "Improved bounds and containing ellipsoids in {Karmarkar's} linear
programming algorithm",
journal = "Mathematics of Operations Research",
volume = "13",
year = "1988",
pages = "650--659"
}
@article{ipm:Todd4,
author = "M. J. Todd",
title = "Exploiting special structure in {Karmarkar's} algorithm for linear
programming",
journal = "Mathematical Programming",
volume = "41",
year = "1988",
pages = "97--113"
}
@article{ipm:Todd5,
author = "M. J. Todd",
title = "A {Dantzig--Wolfe--like variant of Karmarkar's} interior--point
linear programming algorithm",
journal = "Operations Research",
volume = "38",
year = "1990",
pages = "1006--1018"
}
@techreport{ipm:Todd6,
author = "M. J. Todd",
title = "The effects of degeneracy and sparsity on {Karmarkar's} projective
algorithm and its variants",
type = "{Technical Report}",
year = "1988",
institution = "School of Operations Research and Industrial Engineering,
Cornell University",
address = "Ithaca, NY~14853--3801, USA",
note = "See Todd \cite{ipm:Todd9}"
}
@incollection{ipm:Todd7,
author = "M. J. Todd",
title = "Recent developments and new directions in linear programming",
booktitle = "Mathematical Programming\,: Recent Developments and
Applications",
editor = "M. Iri and K. Tanabe",
year = "1989",
pages = "109--157",
publisher = "Kluwer Academic Press",
address = "Dordrecht, The Netherlands"
}
@article{ipm:Todd8,
author = "M. J. Todd",
title = "On {Anstreicher's} combined {phase\,I\,--\,phase\,II} projective
algorithm for linear programming",
journal = "Mathematical Programming",
volume = "55",
year = "1992",
pages = "1--15"
}
@incollection{ipm:Todd9,
author = "M. J. Todd",
title = "The effects of degeneracy, null and unbounded variables on
variants of {Karmarkar's} linear programming algorithm",
booktitle = "Large--Scale Numerical Optimization, Papers from the Workshop
held at Cornell University, Ithaca, NY, USA, October 1989",
series = "SIAM Proceedings in Applied Mathematics",
volume = "46",
year = "1990",
pages = "81--91",
editor = "T. F. Coleman and Y. Li",
publisher = "Society of Industrial and Applied Mathematics (SIAM)",
address = "Philadelphia, PA, USA"
}
@article{ipm:Todd10,
author = "M. J. Todd",
title = "The affine--scaling direction for linear programming is a limit of
projective--scaling directions",
journal = "Linear Algebra and Its Applications",
volume = "152",
year = "1991",
pages = "93--105"
}
@techreport{ipm:Todd11,
author = "M. J. Todd",
title = "Anticipated behavior of {Karmarkar's} algorithm",
type = "{Technical Report}",
number = "879",
month = "December",
year = "1989",
institution = "School of Operations Research and Industrial Engineering,
Cornell University",
address = "Ithaca, NY~14853--3801, USA"
}
@techreport{ipm:Todd12,
author = "M. J. Todd",
title = "Anticipated behavior of interior point methods for linear
programming",
type = "{Talk held at the Symposium on Mathematical Programming in
Oberwolfach, Germany}",
year = "1990",
month = "January",
institution = "School of Operations Research and Industrial Engineering,
Cornell University",
address = "Ithaca, NY~14853--3801, USA",
note = "See Todd \cite{ipm:Todd11}, Mizuno et al.\,%
\cite{ipm:Mizuno4,ipm:Mizuno5}"
}
@article{ipm:Todd13,
author = "M. J. Todd",
title = "A low complexity interior point algorithm for linear programming",
journal = "SIAM Journal on Optimization",
volume = "2",
year = "1992",
pages = "198--209"
}
@article{ipm:Todd14,
author = "M. J. Todd and B. P. Burrell",
title = "An extension of {Karmarkar's} algorithm for linear programming
using dual variables",
journal = "Algorithmica",
volume = "1",
number = "4",
year = "1986",
pages = "409--424"
}
@techreport{ipm:Todd15,
author = "M. J. Todd and C. C. Gonzaga",
title = "An ${O(\sqrt{n}L)}$--iteration large--step primal--dual affine
algorithm for linear programming",
type = "{Talk held at the First International Symposium on Interior Point
Methods for Linear Programming\,: Theory and Practice, in Scheveningen, The
Netherlands}",
year = "1990",
month = "January",
institution = "School of Operations Research and Industrial Engineering,
Cornell University",
address = "Ithaca, NY~14853--3801, USA",
note = "See Gonzaga and Todd \cite{ipm:Gonzaga12}"
}
@article{ipm:Todd16,
author = "M. J. Todd and Y. Wang",
title = "On combined {phase\,I\,--\,phase\,II} projective methods for
linear programming",
journal = "Algorithmica",
volume = "9",
number = "1",
year = "1993",
pages = "64--83"
}
@article{ipm:Todd17,
author = "M. J. Todd and Y. Ye",
title = "A centered projective algorithm for linear programming",
journal = "Mathematics of Operations Research",
volume = "15",
year = "1990",
pages = "508--529"
}
@techreport{ipm:Todd18,
author = "M. J. Todd",
title = "Projected scaled steepest descent in {Kojima--Mizuno--Yoshise's}
potential reduction algorithm for the linear complementarity problem",
type = "{Technical Report}",
number = "950",
year = "1990",
month = "December",
institution = "School of Operations Research and Industrial Engineering,
Cornell University",
address = "Ithaca, NY~14853--3801, USA"
}
@article{ipm:Todd19,
author = "M. J. Todd",
title = "Combining {phase\,I and phase\,II} in a potential reduction
algorithm for linear programming",
journal = "Mathematical Programming",
volume = "59",
year = "1993",
pages = "133--150"
}
@article{ipm:Todd20,
author = "M. J. Todd and J.--Ph. Vial",
title = "Todd's low--complexity algorithm is a predictor--corrector
path--following method",
journal = "Operations Research Letters",
volume = "11",
year = "1992",
pages = "199--207"
}
@techreport{ipm:Todd21,
author = "M. J. Todd and Y. Wang",
title = "A projective algorithm for convex quadratic programming",
type = "{Technical Report}",
year = "1991",
institution = "School of Operations Research and Industrial Engineering,
Cornell University",
address = "Ithaca, NY~14853--3801, USA"
}
@article{ipm:Todd22,
author = "M. J. Todd",
title = "Playing with interior points",
journal = "Mathematical Programming Society Committee on Algorithms (COAL)
Newsletter",
volume = "19",
year = "1991",
month = "August",
pages = "17--25"
}
@techreport{ipm:Todd23,
author = "M. J. Todd and S. Mizuno and Y. Ye",
title = "Anticipated behavior of path--following algorithms for linear
programming",
type = "{Talk held at the Second Asilomar Workshop on Progress in
Mathematical Programming, Asilomar, CA, USA}",
year = "1990",
month = "February",
institution = "School of Operations Research and Industrial Engineering,
Cornell University",
address = "Ithaca, NY~14853--3801, USA",
note = "See Mizuno et al.\ \cite{ipm:Mizuno4}"
}
@article{ipm:Todd24,
author = "M. J. Todd",
title = "Probabilistic models in linear programming",
journal = "Mathematics of Operations Research",
volume = "16",
number = "4",
year = "1991",
pages = "671--693"
}
@techreport{ipm:Todd25,
author = "M. J. Todd",
title = "Recent developments on interior point methods for linear
programming",
type = "{Talk held at the Fourth SIAM Conference on Optimization in Chicago,
IL, USA}",
year = "1992",
month = "May",
institution = "School of Operations Research and Industrial Engineering,
Cornell University",
address = "Ithaca, NY~14853--3801, USA",
note = "There is no underlying report"
}
@techreport{ipm:Todd26,
author = "M. J. Todd",
title = "Another derivation of the {Karmarkar} direction for linear
programming",
type = "{Technical Report}",
number = "91--20",
year = "1991",
month = "December",
institution = "Computational Optimization Project, Center for Applied
Mathematics, Cornell University",
address = "Ithaca, NY~14853--3801, USA"
}
@article{ipm:Todd27,
author = "M. J. Todd",
title = "Interior--point algorithms for semi--infinite programming",
journal = "Mathematical Programming",
volume = "65",
year = "1994",
pages = "217--245"
}
@incollection{ipm:Todd28,
author = "M. J. Todd",
title = "Analysis of interior--point methods for linear programming
problems with variable upper bounds",
booktitle = "Advances in Optimization and Numerical Analysis (Proceedings of
the Sixth Workshop on Optimization and Numerical Analysis, Oaxaca, Mexico,
1992)",
editor = "S. Gomez and J. P. Hennart",
year = "1994",
pages = "1--23",
series = "Mathematics and Its Applications",
volume = "275",
publisher = "Kluwer Academic Publishers",
address = "Dordrecht, The Netherlands"
}
@techreport{ipm:Todd29,
author = "M. J. Todd",
title = "A lower bound on the number of iterations of primal--dual
interior--point methods for linear programming",
type = "{Technical Report}",
number = "1050",
year = "1993",
month = "March",
institution = "School of Operations Research and Industrial Engineering,
Cornell University",
address = "Ithaca, NY~14853--3801, USA",
note = "Revised June 1993"
}
@article{ipm:Todd30,
author = "M. J. Todd",
title = "Theory and practice for interior--point methods",
journal = "ORSA Journal on Computing",
volume = "6",
year = "1994",
pages = "28--31"
}
@incollection{ipm:Todd31,
author = "M. J. Todd",
title = "On lower bound on the number of iteration of an interior--point
algorithm for linear programming",
booktitle = "Numerical Analysis 1993",
editor = "D. F. Griffiths and G. A. Watson",
year = "1994",
pages = "237--259",
series = "Pitman Research Notes in Mathematics",
volume = "303",
publisher = "Longman Scientific \& Technical",
address = "Harlow, United Kingdom",
note = "See also Todd and Ye \cite{ipm:Todd33}"
}
@article{ipm:Todd32,
author = "M. J. Todd",
title = "Scaling, shifting and weighting in interior--point methods",
journal = "Computational Optimization and Applications",
volume = "3",
year = "1994",
pages = "305--315"
}
@article{ipm:Todd33,
author = "M. J. Todd and Y. Ye",
title = "A lower bound on the number of iterations of long--step
primal--dual linear programming algorithms",
journal = "Annals of Operations Research",
volume = "62",
year = "1996",
pages = "233--252"
}
@techreport{ipm:Todd34,
author = "M. J. Todd and S. Herzel",
title = "Interior point algorithms for a class of convex programming
problems",
type = "{Technical Report}",
number = "1097",
year = "1994",
month = "June",
institution = "School of Operations Research and Industrial Engineering,
Cornell University",
address = "Ithaca, NY~14853--3801, USA",
}
@article{ipm:Todd35,
author = "M. J. Todd and Y. Ye",
title = "Approximate {Farkas Lemmas} and stopping rules for iterative
infeasible--point algorithms for linear programming",
journal = "Mathematical Programming",
volume = "81",
year = "1998",
pages = "1--21"
}
@article{ipm:Todd36,
author = "M. J. Todd",
title = "Potential--reduction methods in mathematical programming",
journal = "Mathematical Programming",
volume = "76",
year = "1997",
pages = "3--45"
}
@article{ipm:Todd37,
author = "M. J. Todd and K. Toh and R. T{\"u}t{\"u}nc{\"u}",
title = "On the {Nesterov--Todd} direction in semidefinite programming",
journal = "SIAM Journal on Optimization",
volume = "8",
year = "1998",
pages = "769--796"
}
@incollection{ipm:Todd38,
author = "M. J. Todd",
title = "On adjusting parameters in homotopy methods for linear
programming",
booktitle = "Approximation Theory and Optimization",
editor = "",
year = "1997",
pages = "201--220",
publisher = "Cambridge University Press",
address = "Cambridge, UK"
}
@techreport{ipm:Todd39,
author = "M. J. Todd",
title = "On search directions in interior--point methods for semidefinite
programming",
type = "{Technical Report}",
number = "1205",
year = "1997",
month = "October",
institution = "School of Operations Research and Industrial Engineering,
Cornell University",
address = "Ithaca, NY~14853--3801, USA",
}
@techreport{ipm:Todd40,
author = "M. J. Todd",
title = "A short history of interior--point methods",
type = "{Technical Report}",
number = "",
year = "1998",
month = "",
institution = "School of Operations Research and Industrial Engineering,
Cornell University",
address = "Ithaca, NY~14853--3801, USA"
}
@techreport{ipm:Todd41,
author = "M. J. Todd and L. Tun{\c c}el and Y. Ye",
title = "Probabilistic analysis of two complexity measures for linear
programming problems",
type = "{Technical Report}",
number = "TR~1219",
year = "1998",
month = "October",
institution = "School of Operations Research and Industrial Engineering,
Cornell University",
address = "Ithaca, NY~14853--3801, USA",
note = "Also available as {\it{CORR 98--48, Department of Combinatorics
and Optimization, University of Waterloo, Waterloo, Ontario, Canada,
October 1998}}"
}
@techreport{ipm:Toh1,
author = "K. C. Toh and M. J. Todd and R. H. T{\"u}t{\"u}nc{\"u}",
title = "{SDPT3 -- A MATLAB software package for semidefinite programming}",
type = "{Manuscript}",
year = "1996",
institution = "School of Operations Research and Industrial Engineering,
Cornell University",
address = "Ithaca, NY~14853--3801, USA"
}
@techreport{ipm:Toh2,
author = "K. C. Toh",
title = "Search directions for primal--dual interior point methods in
semidefinite programming",
type = "{Technical Report}",
year = "1997",
month = "July",
institution = "Department of Mathematics, National University of Singapore",
address = "Singapore~0511"
}
@techreport{ipm:Tolla1,
author = "P. Tolla",
title = "Validation numerique de l'algorithme de {Karmarkar} {(Numerical
validation of Karmarkar's algorithm)}",
type = "Cahier",
number = "76",
year = "1987",
month = "April",
institution = "Laboratoire de Analyse et Modelisation de Systemes pour
l'Aide a la Decision (LAMSADE), Universite de Paris Dauphine",
address = "F--75775~Paris~Cedex~16, France",
note = "(In French)"
}
@techreport{ipm:Tolla2,
author = "P. Tolla",
title = "Amelioration des performances de l'algorithme de {Karmarkar} dans
le cas de programmes lineaires a variables bornees superieurement
{(Improvment of the efficiency of {Karmarkar's algorithm} for linear
programs with upper bounded variables)}",
type = "Cahier",
number = "82",
year = "1987",
month = "November",
institution = "Laboratoire de Analyse et Modelisation de Systemes pour
l'Aide a la Decision (LAMSADE), Universite de Paris Dauphine",
address = "F--75775~Paris~Cedex~16, France",
note = "(In French)"
}
@incollection{ipm:Tolla3,
author = "P. Tolla",
title = "Optimal termination criterion and optimal solution accuracy test in
the {Karmarkar's} algorithm",
booktitle = "Numerical and Applied Mathematics, Part~II. Papers from the
Twelfth IMACS World Congress on Scientific Computation in Paris, France,
July 1988",
editor = "C. Brezinski",
series = "IMACS Annals of Computational and Applied Mathematics",
volume = "1.2",
year = "1989",
pages = "629--633",
publisher = "Baltzer Verlag",
address = "Basel, Switzerland"
}
@incollection{ipm:Tolla4,
author = "P. Tolla",
title = "Elaboration de logiciels efficaces utilisant l'algorithme de
{Karmarkar} {(Elaboration of a computationally efficient utilization of
Karmarkar's algorithm)}",
booktitle = "New Methods in Optimization and Their Industrial Uses",
editor = "J. P. Penot",
series = "International Series of Numerical Mathematics",
volume = "87",
year = "1989",
pages = "173--190",
publisher = "Birkh{\"a}user Verlag",
address = "Basel, Switzerland",
note = "(In French)"
}
@techreport{ipm:Tolla5,
author = "P. Tolla",
title = "Implementation and validation of interior point methods for linear
programming",
type = "{Talk held at the TIMS/SOBRAPO Joint International Meeting in Rio de
Janeiro, Brazil}",
year = "1991",
month = "July",
institution = "Laboratoire de Analyse et Modelisation de Systemes pour
l'Aide a la Decision (LAMSADE), Universite de Paris Dauphine",
address = "F--75775~Paris~Cedex~16, France"
}
@techreport{ipm:Tolla6,
author = "P. Tolla",
title = "New numerical results on {Karmarkar's} algorithm",
type = "Cahier",
number = "",
year = "1988",
institution = "Laboratoire de Analyse et Modelisation de Systemes pour
l'Aide a la Decision (LAMSADE), Universite de Paris Dauphine",
address = "F--75775~Paris~Cedex~16, France"
}
@unpublished{ipm:Tomlin1,
author = "J. A. Tomlin",
title = "Experimental results with an implementation of the projective
method",
type = "{Manuscript}",
year = "1985",
note = "Early draft of Tomlin \cite{ipm:Tomlin2}"
}
@article{ipm:Tomlin2,
author = "J. A. Tomlin",
title = "An experimental approach to {Karmarkar's} projective method for
linear programming",
journal = "Mathematical Programming Study",
volume = "31",
year = "1987",
pages = "175--191"
}
@incollection{ipm:Tomlin3,
author = "J. A. Tomlin",
title = "A note on comparing simplex and interior methods for linear
programming",
booktitle = "Progress in Mathematical Programming\,: Interior Point and
Related Methods",
publisher = "Springer Verlag",
address = "New York",
editor = "N. Megiddo",
year = "1989",
pages = "91--104",
note = "See also Forrest and Tomlin \cite{ipm:Forrest2}"
}
@techreport{ipm:Tomlin4,
author = "J. A. Tomlin and J. S. Welch",
title = "Implementing an interior point method in a mathematical programming
system\,: {Part\,I}",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Miami, FL,
USA}",
year = "1986",
month = "October",
institution = "Ketron Management Science, Inc.",
address = "Mountain View, CA~94040, USA",
note = "See also Forrest and Tomlin \cite{ipm:Forrest2}"
}
@techreport{ipm:Tomlin5,
author = "J. A. Tomlin and J. S. Welch",
title = "Implementing an interior point method in a mathematical programming
system",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in New Orleans,
USA}",
year = "1987",
month = "May",
institution = "Ketron Management Science, Inc.",
address = "Mountain View, CA~94040, USA",
note = "See also Forrest and Tomlin \cite{ipm:Forrest2}, and
Tomlin \cite{ipm:Tomlin3}"
}
@techreport{ipm:Tomlin6,
author = "J. A. Tomlin and J. J. Forrest",
title = "Switching from interior to vertex solutions in {OSL (Optimization
Subroutine Library)}",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Orlando, FL,
USA}",
year = "1992",
month = "April",
institution = "IBM Almaden Research Center",
address = "San Jose, CA~95120, USA",
note = "See also Forrest and Tomlin \cite{ipm:Forrest2}"
}
@incollection{ipm:Tomlin7,
author = "J. A. Tomlin and J. S. Welsch",
title = "{Mathematical Programming Systems}",
booktitle = "Computing",
publisher = "North Holland",
address = "Amsterdam, The Netherlands",
editor = "E. G. {Coffman, Jr.} and J. K. Lenstra and A. H. G. {Rinnooy Kan}",
series = "Handbooks in Operations Research and Management Science",
volume = "3",
year = "1992",
pages = "561--601",
note = "See also Forrest and Tomlin \cite{ipm:Forrest2}"
}
@inproceedings{ipm:Tompkins1,
author = "C. B. Tompkins",
title = "Projection methods in calculation",
booktitle = "Proceedings of the Second Symposium in Linear Programming",
editor = "H. A. Antosiewicz",
year = "1955",
pages = "425--448",
address = "U.~S.~Air Force, Washington, DC, USA"
}
@article{ipm:Tompkins2,
author = "C. B. Tompkins",
title = "Some methods of computational attack on programming problems, other
than the simplex method",
journal = "Naval Research Logistics Quarterly",
volume = "4",
year = "1957",
pages = "95--96"
}
@techreport{ipm:Tone1,
author = "K. Tone",
title = "A hybrid method for linear programming",
type = "{Technical Report}",
number = "85--B--1",
year = "1985",
institution = "Graduate School for Policy Science, Saitama University",
address = "Urawa, Saitama~338, Japan"
}
@techreport{ipm:Tone2,
author = "K. Tone",
title = "An implementation of a revised {Karmarkar} method",
type = "{Technical Report}",
year = "1986/87",
institution = "Graduate School for Policy Science, Saitama University",
address = "Urawa, Saitama~338, Japan"
}
@article{ipm:Tone3,
author = "K. Tone",
title = "Linear programming and {Karmarkar} patents",
journal = "Systems, Control and Information",
volume = "34",
number = "5",
year = "1990",
month = "April",
pages = "209--215",
note = "(In Japanese)"
}
@techreport{ipm:Tone4,
author = "K. Tone",
title = "An {$O(\sqrt{n}L)$} iteration large--step logarithmic barrier
function algorithm for linear programming",
type = "{Research Report}",
number = "89--B--5",
year = "1989",
institution = "Graduate School for Policy Science, Saitama University",
address = "Urawa, Saitama~338, Japan"
}
@article{ipm:Tone5,
author = "K. Tone",
title = "An active--set strategy in interior point method for linear
programming",
journal = "Mathematical Programming",
volume = "59",
year = "1993",
pages = "345--360"
}
@article{ipm:Tone6,
author = "K. Tone",
title = "Remarks on potential versus barrier function methods for linear
programming",
journal = "Journal of the Operations Research Society of Japan",
volume = "34",
number = "4",
year = "1991",
pages = "436--448"
}
@techreport{ipm:Torabi1,
author = "M. Torabi",
title = "Decomposed block {Cholesky} factorization in the {Karmarkar}
algorithm\,: {A} proposed scheme for solving a class of super large {LP}
problems",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Las Vegas, NV,
USA}",
year = "1990",
month = "May",
institution = "AT~\&~T Bell Laboratories",
address = "Holmdel, NJ~07733, USA"
}
@article{ipm:Torabi2,
author = "M. Torabi",
title = "Decomposed block {Cholesky} factorization in the {Karmarkar}
algorithm.~{S}olving a class of super large {LP} problems",
journal = "Computers and Mathematics with Applications",
volume = "20",
number = "2",
year = "1990",
pages = "1--7"
}
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author = "G. L. Torres and V. H. Quintana",
title = "Optimal power flow via interior point methods\,: {An} educational
tool in {MATLAB}",
journal = "Proceedings of the 1996 Canadian Conference on Electrical and
Computer Engineering",
volume = "2/2",
year = "1996",
pages = "996--999"
}
@techreport{ipm:Tovey1,
author = "C. A. Tovey",
title = "Integrating {Karmarkar's} algorithm into the curriculum",
type = "{Workshop held at the ORSA/TIMS Joint National Meeting in Miami
Beach, FL, USA}",
year = "1986",
month = "October",
institution = "School of Industrial and Systems Engineering, Georgia
Technology Institute",
address = "Atlanta, GA~30322--0205, USA"
}
@article{ipm:Tovey2,
author = "C. A. Tovey",
title = "The challenge\,: {Teaching Karmarkar's} algorithm",
journal = "OR/MS Today",
volume = "15",
number = "2",
year = "1988",
month = "April",
pages = "18--19"
}
@techreport{ipm:Trafalis1,
author = "T. B. Trafalis and T. L. Morin",
title = "Interior point methods in multiobjective convex optimization",
type = "{Talk held at the TIMS/SOBRAPO Joint International Meeting in Rio de
Janeiro, Brazil}",
year = "1991",
month = "July",
institution = "School of Industrial Engineering, University of Oklahoma",
address = "Norman, OK~73019, USA"
}
@phdthesis{ipm:Trafalis2,
author = "T. B. Trafalis",
title = "Efficient faces of a polytope\,: {Interior} methods in multiple
objective optimization",
year = "1989",
month = "August",
school = "Department of Mathematics and Computer Science, School of
Industrial Engineering, Purdue University",
address = "West Lafayette, IN~47907, USA"
}
@techreport{ipm:Trafalis3,
author = "T. B. Trafalis",
title = "Interior point methods in backpropagation neural networks",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Anaheim,
CA, USA}",
year = "1991",
month = "November",
institution = "School of Industrial Engineering, University of
Oklahoma",
address = "Norman, OK~73019, USA"
}
@techreport{ipm:Trafalis4,
author = "T. B. Trafalis",
title = "A method of centers that computes {Pareto} solutions of
cooperative games in polynomial time",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Orlando, FL,
USA}",
year = "1992",
month = "April",
institution = "School of Industrial Engineering, University of Oklahoma",
address = "Norman, OK~73019, USA"
}
@incollection{ipm:Trafalis5,
author = "T. B. Trafalis and N. P. Cou{\"e}llan",
title = "Neural network training via a primal--dual interior point
method for linear programming",
booktitle = "Proceedings of the World Congress on Neural Networks, Vol. 2
(San Diego, June 1994)",
publisher = "Lawrence Erlbaum Associates",
address = "Hillsdale, NJ, USA",
year = "1994",
pages = "798--803"
}
@article{ipm:Trafalis6,
author = "T. B. Trafalis and N. P. Cou{\"e}llan",
title = "Neural network training via an affine scaling quadratic
optimization algorithm",
journal = "Neural Networks",
volume = "9",
year = "1996",
pages = "475--481"
}
@article{ipm:Trafalis7,
author = "T. B. Trafalis and R. K. Parekh",
title = "Primal--dual training of artificial neural networks with an
$L_{\infty}$ error",
journal = "Proceedings of the Conference on Artificial Neural Networks in
Engineering (ANNIE\,'95)",
volume = "",
year = "1995",
pages = "233--238"
}
@incollection{ipm:Trafalis8,
author = "T. B. Trafalis and T. A. Tutunji and N. P. Cou{\"e}llan",
title = "Interior point methods for supervised training of artificial
neural networks with bounded weights",
booktitle = "Network Optimization",
editor = "P. M. Pardalos and D. W. Hearn and W. W. Hager",
series = "Lecture Notes in Economics and Mathematical Syxstems",
volume = "450",
publisher = "Springer Verlag",
address = "Berlin, Germany",
year = "1997",
pages = "441--470"
}
@techreport{ipm:Trafalis9,
author = "T. B. Trafalis and T. Terlaky and J. P. Warners and C. Roos",
title = "Unsupervised neural network training via a potential reduction
approach",
type = "{Technical Report}",
number = "96--172",
year = "1996",
institution = "Faculty of Technical Mathematics and Informatics, Delft
University of Technology",
address = "NL--2600 Delft, The Netherlands"
}
@article{ipm:Trafalis10,
author = "T. B. Trafalis and N. P. Couellan and S. C. Bertrand",
title = "Training of supervised neural networks via a nonlinear primal--dual
interior--point method",
journal = "IEEE Proceedings of the International Conference on Neural
Networks",
volume = "",
year = "1997",
pages = "2017--2031"
}
@article{ipm:Tsao1,
author = "H.--S. J. Tsao and S.--C. Fang",
title = "An unconstrained dual approach to solving {Karmarkar--type} linear
programs using conventional barrier functions",
journal = "Zeitschrift f{\"u}r Operations Research---Methods and Models
of Operations Research",
volume = "42",
year = "1995",
pages = "325--343"
}
@article{ipm:Tseng1,
author = "P. Tseng",
title = "A simple complexity proof for a polynomial--time linear programming
algorithm",
journal = "Operations Research Letters",
volume = "8",
year = "1989",
pages = "155--159"
}
@article{ipm:Tseng2,
author = "P. Tseng",
title = "Global linear convergence of a path--following algorithm for some
monotone variational inequality problems",
journal = "Journal of Optimization Theory and Applications",
volume = "75",
number = "2",
year = "1992",
pages = "265--279"
}
@article{ipm:Tseng3,
author = "P. Tseng and Z. Q. Luo",
title = "On the convergence of the affine--scaling algorithm",
journal = "Mathematical Programming",
volume = "52",
year = "1992",
pages = "301--319"
}
@article{ipm:Tseng4,
author = "P. Tseng",
title = "A path--following algorithm for linear programming using quadratic
and logarithmic penalty functions",
journal = "SIAM Journal on Control and Optimization",
volume = "31",
year = "1993",
pages = "1578--1598"
}
@techreport{ipm:Tseng5,
author = "P. Tseng",
title = "Path following by alternating minimization",
type = "{Technical Report}",
year = "1991",
month = "April",
institution = "Department of Mathematics, GN--50, University of
Washington",
address = "Seattle, WA~98195, USA"
}
@article{ipm:Tseng6,
author = "P. Tseng",
title = "Complexity analysis of a linear complementarity algorithm
based on a {Lyapunov} function",
journal = "Mathematical Programming",
volume = "53",
year = "1992",
pages = "297--306"
}
@article{ipm:Tseng7,
author = "P. Tseng",
title = "Partial affine scaling for linearly constrained minimization",
journal = "Mathematics of Operations Research",
volume = "20",
year = "1995",
pages = "678--694"
}
@incollection{ipm:Tseng8,
author = "P. Tseng",
title = "Simplified analysis of an $O(nL)$--iteration infeasible
predictor--corrector path--following method for monotone linear
complementarity problems",
booktitle = "Recent Trends in Optimization Theory and Applications",
editor = "R. P. Agarwal",
year = "1995",
pages = "423--434",
series = "World Science Series in Applied Analysis",
volume = "5",
publisher = "World Science Publishing",
address = "River Edge, NJ, USA",
}
@techreport{ipm:Tseng9,
author = "P. Tseng",
title = "Search directions and convergence analysis of some infeasible
path--following methods for the monotone semi--definite {LCP}",
type = "{Technical Report}",
year = "1996",
institution = "Department of Mathematics, GN--50, University of
Washington",
address = "Seattle, WA~98195, USA"
}
@techreport{ipm:Tseng10,
author = "P. Tseng",
title = "Analysis of an infeasible interior path--following method for
complementarity problems",
type = "{Technical Report}",
year = "1997",
month = "August",
institution = "Department of Mathematics, GN--50, University of
Washington",
address = "Seattle, WA~98195, USA",
note = "Revised September 1997"
}
@article{ipm:Tsuchiya1,
author = "T. Tsuchiya",
title = "Global convergence of the affine scaling methods for
degenerate linear programming problems",
journal = "Mathematical Programming",
volume = "52",
year = "1991",
pages = "377--404"
}
@article{ipm:Tsuchiya2,
author = "T. Tsuchiya and K. Tanabe",
title = "Local convergence properties of new methods in linear programming",
journal = "Journal of the Operations Research Society of Japan",
volume = "33",
year = "1990",
pages = "22--45"
}
@article{ipm:Tsuchiya3,
author = "T. Tsuchiya",
title = "Degenerate linear programming problems and the affine scaling
method",
journal = "Systems, Control and Information",
volume = "34",
number = "4",
year = "1990",
month = "April",
pages = "216--222",
note = "(In Japanese)"
}
@article{ipm:Tsuchiya4,
author = "T. Tsuchiya",
title = "On {Yamashita's method and Freund's method} for linear programming",
journal = "Cooperative Research Report of the Institute of Statistical
Mathematics",
volume = "10",
year = "1988",
pages = "105--115",
note = "(In Japanese)"
}
@article{ipm:Tsuchiya5,
author = "T. Tsuchiya",
title = "Dual standard form linear programming problems and {Karmarkar's}
canonical form",
journal = "Lecture Note of the Research Institute of Statistical
Mathematics",
volume = "676",
year = "1988",
pages = "330--336",
note = "(In Japanese)"
}
@article{ipm:Tsuchiya6,
author = "T. Tsuchiya",
title = "Global convergence property of the affine scaling methods for
primal degenerate linear programming problems",
journal = "Mathematics of Operations Research",
volume = "17",
number = "3",
year = "1992",
pages = "527--557"
}
@techreport{ipm:Tsuchiya7,
author = "T. Tsuchiya",
title = "Local analysis of {Iri and Imai's} method for degenerate linear
programming problems",
type = "{Research Memorandum (in preparation)}",
year = "1991",
institution = "The Institute of Statistical Mathematics",
address = "4--6--7~Minami--Azabu, Minato--ku, Tokyo~106, Japan",
note = "This report has been finished as Tsuchiya \cite{ipm:Tsuchiya8}"
}
@article{ipm:Tsuchiya8,
author = "T. Tsuchiya",
title = "Quadratic convergence of {Iri--Imai's} method for degenerate
linear programming problems",
journal = "Journal of Optimization Theory and Applications",
volume = "87",
year = "1995",
pages = "703--726"
}
@phdthesis{ipm:Tsuchiya9,
author = "T. Tsuchiya",
title = "A study on the global and local convergence properties of the
interior point algorithms for linear programming",
year = "1991",
school = "Faculty of Engineering, The University of Tokyo",
address = "Tokyo, Japan",
note = "(In Japanese)"
}
@article{ipm:Tsuchiya10,
author = "T. Tsuchiya and M. Muramatsu",
title = "Global convergence of the long--step affine scaling algorithm
for degenerate linear programming problems",
journal = "SIAM Journal on Optimization",
volume = "5",
year = "1995",
pages = "525--551"
}
@article{ipm:Tsuchiya11,
author = "T. Tsuchiya",
title = "Global convergence of the affine scaling algorithm for primal
degenerate strictly convex quadratic programming problems",
journal = "Annals of Operations Research",
volume = "46/47",
year = "1993",
pages = "509--539"
}
@article{ipm:Tsuchiya12,
author = "T. Tsuchiya and R. D. C. Monteiro",
title = "Superlinear convergence of the affine scaling algorithm",
journal = "Mathematical Programming",
volume = "75",
year = "1996",
pages = "77--110"
}
@article{ipm:Tsuchiya13,
author = "T. Tsuchiya",
title = "Theoretical analysis of an affine scaling algorithm\,: {The}
interior point method and a duality theorem",
journal = "Proceedings of the Institute of Statistical Mathematics",
volume = "42",
year = "1994",
pages = "277--296",
note = "(In Japanese)"
}
@incollection{ipm:Tsuchiya14,
author = "T. Tsuchiya",
title = "Affine scaling algorithm",
booktitle = "Interior Point Methods of Mathematical Programming",
editor = "T. Terlaky",
year = "1996",
pages = "35--82",
series = "Applied Optimization",
volume = "5",
publisher = "Kluwer Academic Publishers",
address = "Dordrecht, The Netherlands"
}
@techreport{ipm:Tsuchiya15,
author = "T. Tsuchiya",
title = "A new family of polynomial--time interior point algorithms for
linear programming",
type = "{Research Memorandum (in preparation)}",
year = "1994",
institution = "The Institute of Statistical Mathematics",
address = "4--6--7~Minami--Azabu, Minato--ku, Tokyo~106, Japan"
}
@techreport{ipm:Tsuchiya16,
author = "T. Tsuchiya",
title = "A polynomial primal--dual path--following algorithm for
second--order cone programming",
type = "{Research Memorandum}",
number = "649",
year = "1997",
month = "October",
institution = "The Institute of Statistical Mathematics",
address = "4--6--7~Minami--Azabu, Minato--ku, Tokyo~106, Japan"
}
@techreport{ipm:Tsuchiya17,
author = "T. Tsuchiya",
title = "A convergence analysis of the scaling--invariant
primal--dual path--following algorithms for second--order
cone programming",
type = "{Research Memorandum}",
number = "664",
year = "1998",
institution = "The Institute of Statistical Mathematics",
address = "4--6--7~Minami--Azabu, Minato--ku, Tokyo~106, Japan"
}
@article{ipm:Tuetuencue1,
author = "R. H. T{\"u}t{\"u}nc{\"u} and M. J. Todd",
title = "Reducing horizontal linear complementarity problems",
journal = "Linear Algebra and Its Applications",
volume = "223/224",
year = "1995",
pages = "717--729"
}
@article{ipm:Tuncel1,
author = "L. Tun{\c{c}}el",
title = "On the convergence of primal--dual interior point methods with
wide neighborhoods",
journal = "Computational Optimization and Applications",
volume = "4",
year = "1995",
pages = "139--158"
}
@techreport{ipm:Tuncel2,
author = "L. Tun{\c{c}}el",
title = "A note on the primal--dual affine scaling algorithms",
type = "{Technical Report}",
number = "92--8",
year = "1992",
month = "May",
institution = "Computational Optimization Project, Center for Applied
Mathematics, Cornell University",
address = "Ithaca, NY~14853--3801, USA",
note = "For generalizations and extensions see Tun{\c{c}}el
\cite{ipm:Tuncel4}"
}
@article{ipm:Tuncel3,
author = "L. Tun{\c{c}}el and M. J. Todd",
title = "Asymptotic behavior of interior--point methods\,: {A} view from
semi--infinite programming",
journal = "Mathematics of Operations Research",
volume = "21",
year = "1996",
pages = "354--381"
}
@article{ipm:Tuncel4,
author = "L. Tun{\c{c}}el",
title = "Constant potential primal--dual algorithms\,: {A} framework",
journal = "Mathematical Programming",
volume = "66",
year = "1994",
pages = "145--159"
}
@techreport{ipm:Tuncel5,
author = "L. Tun{\c{c}}el",
title = "A pseudo--polynomial complexity analysis for interior--point
algorithms",
type = "{Research Report}",
number = "CORR\,93--16",
year = "1993",
institution = "Department of Combinatorics and Optimization, Faculty of
Mathematics, University of Waterloo",
address = "Waterloo, Ontario, Canada"
}
@techreport{ipm:Tuncel6,
author = "L. Tun{\c{c}}el",
title = "On the interplay among entropy, variable metrics and potential
functions in interior--point algorithms",
type = "{Research Report}",
number = "CORR\,95--20",
year = "1995",
month = "September",
institution = "Department of Combinatorics and Optimization, Faculty of
Mathematics, University of Waterloo",
address = "Waterloo, Ontario, Canada",
note = "Also available as\,: Technical Report 1135, School of Operations
Research and Industrial Engineering, Cornell University, Ithaca, NY~14853,
USA, September 1995. See also Tun{\c{c}}el and Todd \cite{ipm:Tuncel8}"
}
@techreport{ipm:Tuncel7,
author = "L. Tun{\c{c}}el",
title = "Primal--dual symmetry and scale invariance of interior--point
algorithms for convex optimization",
type = "{Research Report}",
number = "CORR\,96--18",
year = "1996",
month = "November",
institution = "Department of Combinatorics and Optimization, Faculty of
Mathematics, University of Waterloo",
address = "Waterloo, Ontario, Canada"
}
@article{ipm:Tuncel8,
author = "L. Tun{\c{c}}el and M. J. Todd",
title = "On the interplay among entropy, variable metrics and potential
functions in interior--point algorithms",
journal = "Computational Optimization and Its Applications",
volume = "8",
year = "1997",
pages = "5--19",
note = "See also Tun{\c{c}}el \cite{ipm:Tuncel6}"
}
@techreport{ipm:Tuncel9,
author = "L. Tun{\c{c}}el",
title = "On the condition numbers for polyhedra in {Karmarkar's} form",
type = "{Research Report}",
number = "CORR\,97--24",
year = "1997",
month = "November",
institution = "Department of Combinatorics and Optimization, Faculty of
Mathematics, University of Waterloo",
address = "Waterloo, Ontario~N2L\,3G1, Canada"
}
@techreport{ipm:Tuncel10,
author = "L. Tun{\c{c}}el",
title = "Primal-dual potential reduction algorithms for semidefinite
programming",
type = "{Research Report}",
number = "",
year = "1998",
month = "March",
institution = "Department of Combinatorics and Optimization, Faculty of
Mathematics, University of Waterloo",
address = "Waterloo, Ontario~N2L\,3G1, Canada",
note = "To appear as {\em{Potential reduction and primal-dual
methods}}, Semidefinite Programming and Applications,
R. Saigal, L. Vandenberghe and H. Wolkowicz
(eds.), Kluwer Academic Publishers, Boston, MA, USA"
}
@techreport{ipm:Tuncel11,
author = "L. Tun{\c{c}}el",
title = "Convex optimization: {Barrier} functions and interior-point
methods",
type = "{Research Report}",
number = "B--336",
year = "1998",
month = "March",
institution = "Department of Combinatorics and Optimization, Faculty of
Mathematics, University of Waterloo",
address = "Waterloo, Ontario~N2L\,3G1, Canada"
}
@techreport{ipm:Tuncel12,
author = "L. Tun{\c{c}}el",
title = "Approximating the complexity measure of Vavasis--Ye algorithm
is {NP--hard}",
type = "{Research Report}",
number = "CORR~98--51",
year = "1998",
month = "November",
institution = "Department of Combinatorics and Optimization, Faculty of
Mathematics, University of Waterloo",
address = "Waterloo, Ontario~N2L\,3G1, Canada"
}
@techreport{ipm:Turner1,
author = "K. Turner",
title = "A variable metric variant of the {Karmarkar} algorithm for linear
programming",
type = "{Technical Report}",
number = "TR--87--13",
year = "1987",
institution = "Department of Mathematical Sciences, Rice University",
address = "Houston, TX~77251, USA"
}
@article{ipm:Turner2,
author = "K. Turner",
title = "Computing projections for the {Karmarkar} algorithm",
journal = "Linear Algebra and Its Applications",
volume = "152",
year = "1991",
pages = "141--154"
}
@techreport{ipm:Tutuncu1,
author = "R. T{\"u}t{\"u}nc{\"u}",
title = "An infeasible--interior--point potential--reduction algorithm for
linear programming",
type = "{Technical Report}",
number = "1136",
year = "1996",
month = "March",
institution = "School of Operations Research and Industrial Engineering,
Cornell University",
address = "Ithaca, NY~14853--3801, USA",
}
@techreport{ipm:Ulbrich1,
author = "M. Ulbrich and S. Ulbrich and M. Heinkenschloss",
title = "Global convergence of trust--region interior--point algorithms for
infinite--dimensional nonconvex minimization subject to pointwise bounds",
type = "{Technical Report}",
number = "TR~97--04",
year = "1997",
month = "March",
institution = "Department of Computational and Applied Mathematics, Rice
University",
address = "Houston, TX~77251, USA"
}
@techreport{ipm:Ulbrich2,
author = "M. Ulbrich and S. Ulbrich",
title = "Superlinear convergence of affine--scaling interior--point
{Newton} methods for infinite--dimensional problems with pointwise bounds",
type = "{Technical Report}",
number = "TR~97--05",
year = "1997",
institution = "Department of Computational and Applied Mathematics, Rice
University",
address = "Houston, TX~77251, USA"
}
@techreport{ipm:Urban1,
author = "T. Urban and A. Tits and C. Lawrence",
title = "A primal--dual interior--point method for nonconvex
optimization with multiple logarithmic barrier parameters and with
strong convergence properties",
type = "{Technical Report}",
number = "TR~98--27",
year = "1998",
institution = "Institute for Systems Research, University of Maryland",
address = "College Park"
}
@techreport{ipm:Vaidya1,
author = "P. M. Vaidya",
title = "Linear programming and the center of a polytope",
type = "{Technical Report}",
year = "1988",
institution = "AT~\&~T Bell Laboratories",
address = "Murray Hill, NJ~07974, USA"
}
@incollection{ipm:Vaidya2,
author = "P. M. Vaidya",
title = "A locally well--behaved potential function and a simple
{Newton}--type method for finding the center of a polytope",
booktitle = "Progress in Mathematical Programming\,: Interior Point and
Related Methods",
publisher = "Springer Verlag",
address = "New York",
editor = "N. Megiddo",
year = "1989",
pages = "79--90"
}
@article{ipm:Vaidya3,
author = "P. M. Vaidya",
title = "A new algorithm for minimizing a convex function over convex sets",
journal = "Mathematical Programming",
volume = "73",
year = "1996",
pages = "291--341",
note = "A condensed version is given in Vaidya \cite{ipm:Vaidya7}"
}
@article{ipm:Vaidya4,
author = "P. M. Vaidya",
title = "An algorithm for linear programming which requires
${O((m + n)n^2 + (m + n)^{1.5}nL)}$ arithmetic operations",
journal = "Mathematical Programming",
volume = "47",
year = "1990",
pages = "175--201",
note = "Condensed version in\,: {\em Proceedings of the 19th Annual ACM
Symposium on Theory of Computing, 29--38, 1987}"
}
@incollection{ipm:Vaidya5,
author = "P. M. Vaidya",
title = "Reducing the parallel complexity of certain linear programming
problems",
booktitle = "Proceedings of the 22nd Annual Symposium on Foundations of
Computer Science\,(St.\,Louis, MO, USA, October 1990)",
year = "1990",
pages = "583--589",
publisher = "IEEE Computer Society Press",
address = "Los Alamitos, CA, USA"
}
@incollection{ipm:Vaidya6,
author = "P. M. Vaidya",
title = "Speeding--up linear programming using fast matrix multiplication",
booktitle = "Proceedings of the 30th Annual Symposium on Foundations of
Computer Science\,(Research Triangle Park, NC, USA, 1989)",
year = "1990",
pages = "332--337",
publisher = "IEEE Computer Society Press",
address = "Los Alamitos, CA, USA"
}
@incollection{ipm:Vaidya7,
author = "P. M. Vaidya",
title = "A new algorithm for minimizing a convex function over convex sets",
booktitle = "Proceedings of the 30th Annual Symposium on Foundations of
Computer Science\,(Research Triangle Park, NC, USA, 1989)",
year = "1990",
pages = "338--343",
publisher = "IEEE Computer Society Press",
address = "Los Alamitos, CA, USA",
note = "See also Vaidya \cite{ipm:Vaidya3}"
}
@incollection{ipm:Vaidya8,
author = "P. M. Vaidya and D. S. Atkinson",
title = "A technique for bounding the number of iterations in path
following algorithms",
booktitle = "Complexity in Numerical Optimization",
editor = "P. M. Pardalos",
year = "1993",
pages = "462--489",
publisher = "World Scientific Publishing Co.",
address = "London, United Kingdom"
}
@article{ipm:Vandenberghe1,
author = "L. Vandenberghe and S. Boyd",
title = "A primal--dual potential reduction method for problems
involving matrix inequalities",
journal = "Mathematical Programming",
volume = "69",
year = "1995",
pages = "205--236"
}
@article{ipm:Vandenberghe2,
author = "L. Vandenberghe and S. Boyd",
title = "A polynomial--time algorithm for determining quadratic {Lyapunov}
functions for nonlinear systems",
journal = "Proceedings of the European Conference on Circuit Theory and
Design",
year = "1993",
pages = "1065--1068"
}
@techreport{ipm:Vandenberghe3,
author = "L. Vandenberghe and S. Boyd and S.--P. Wu",
title = "Determinant maximation with linear matrix inequality constraints",
type = "{ISL--Report}",
year = "1996",
month = "March",
institution = "Department of Electrical Engineering, Information Systems
Laboratory, Stanford University",
address = "Stanford, CA~94305, USA"
}
@article{ipm:Vandenberghe4,
author = "L. Vandenberghe and S. Boyd",
title = "Semidefinite programming",
journal = "SIAM Review",
volume = "38",
year = "1996",
pages = "49--95"
}
@article{ipm:Vandenberghe5,
author = "L. Vandenberghe and S. Boydand A. El~Gamas",
title = "Optimizing dominant tome constant in {RC} circuits",
journal = "IEEE Transactions on Computer--Aided DEsign of Integrated
Circuits and Systems",
volume = "17",
year = "1998",
pages = "110--125"
}
@techreport{ipm:Vanderbei1,
author = "R. J. Vanderbei",
title = "A rescaled orthant variant of {Karmarkar's} algorithm",
type = "{Technical Report}",
year = "1986",
institution = "AT~\&~T Bell Laboratories",
address = "Holmdel, NJ~07733, USA"
}
@techreport{ipm:Vanderbei2,
author = "R. J. Vanderbei",
title = "The affine--scaling algorithm and primal degeneracy",
type = "{Talk held at the Second Asilomar Workshop on Progress in
Mathematical Programming, Asimolar Conference Center, Pacific Grove, CA,
USA}",
year = "1987",
institution = "AT~\&~T Bell Laboratories",
address = "Murray Hill, NJ~07974, USA"
}
@misc{ipm:Vanderbei3,
author = "R. J. Vanderbei",
title = "Methods and apparatus for efficient resource allocation",
howpublished = "U.S.~Patent No.~4.744.026",
year = "1988",
note = "AT~\&~T Bell Laboratories, Murray Hill, NJ~07974, USA"
}
@article{ipm:Vanderbei4,
author = "R. J. Vanderbei",
title = "Affine--scaling for linear programs with free variables",
journal = "Mathematical Programming",
volume = "43",
year = "1989",
pages = "31--44"
}
@techreport{ipm:Vanderbei5,
author = "R. J. Vanderbei",
title = "New developments in the affine--scaling algorithm for {LP}",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in New York, NY,
USA}",
year = "1989",
month = "October",
institution = "AT~\&~T Bell Laboratories",
address = "Murray Hill, NJ~07974, USA"
}
@incollection{ipm:Vanderbei6,
author = "R. J. Vanderbei and J. C. Lagarias",
title = "{I.\,I.\,Dikin's} convergence result for the affine--scaling
algorithm",
booktitle = "Mathematical Developments Arising from Linear Programming\,:
Proceedings of a Joint Summer Research Conference held at Bowdoin College,
Brunswick, Maine, USA, June/July 1988",
editor = "J. C. Lagarias and M. J. Todd",
year = "1990",
pages = "109--119",
series = "Contemporary Mathematics",
volume = "114",
publisher = "American Mathematical Society",
address = "Providence, Rhode Island, USA"
}
@article{ipm:Vanderbei7,
author = "R. J. Vanderbei and M. S. Meketon and B. A. Freedman",
title = "A modification of {Karmarkar's} linear programming algorithm",
journal = "Algorithmica",
volume = "1",
number = "4",
year = "1986",
pages = "395--407"
}
@techreport{ipm:Vanderbei8,
author = "R. J. Vanderbei",
title = "Efficient handling of dense columns in linear and quadratic
programs",
type = "{Talk held at the TIMS/SOBRAPO Joint International Meeting in Rio de
Janeiro, Brazil}",
year = "1991",
month = "July",
institution = "AT~\&~T Bell Laboratories",
address = "10~Knob Hill Road, Morganville, NJ~07751, USA"
}
@article{ipm:Vanderbei9,
author = "R. J. Vanderbei",
title = "Splitting dense columns in sparse linear systems",
journal = "Linear Algebra and Its Applications",
volume = "152",
year = "1991",
pages = "107--117"
}
@article{ipm:Vanderbei10,
author = "R. J. Vanderbei",
title = "Symmetric quasidefinite matrices",
journal = "SIAM Journal on Optimization",
volume = "5",
year = "1995",
pages = "100--113"
}
@article{ipm:Vanderbei11,
author = "R. J. Vanderbei and T. J. Carpenter",
title = "Symmetric indefinite systems for interior point methods",
journal = "Mathematical Programming",
volume = "58",
year = "1993",
pages = "1--32"
}
@article{ipm:Vanderbei12,
author = "R. J. Vanderbei",
title = "{ALPO\,: Another} linear program optimizer",
journal = "ORSA Journal on Computing",
volume = "5",
year = "1993",
pages = "134--146",
note = "See also Vanderbei\,\cite{ipm:Vanderbei14}"
}
@techreport{ipm:Vanderbei13,
author = "R. J. Vanderbei",
title = "{Performance of the AT~\&~T KORBX System}",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Las Vegas, NV,
USA}",
year = "1990",
month = "May",
institution = "AT~\&~T Bell Laboratories",
address = "Murray Hill, NJ~07974, USA"
}
@article{ipm:Vanderbei14,
author = "R. J. Vanderbei",
title = "{A brief description of ALPO}",
journal = "Operations Research Letters",
volume = "10",
year = "1991",
pages = "531--534",
note ="See also Vanderbei\,\cite{ipm:Vanderbei12}"
}
@inproceedings{ipm:Vanderbei15,
author = "R. J. Vanderbei",
title = "Dense columns and interior--point methods for {LP}",
booktitle = "Proceedings of the IMACS'91 World Congress on Computation and
Applied Mathematics in Dublin, Ireland",
year = "1991",
month = "July"
}
@techreport{ipm:Vanderbei16,
author = "R. J. Vanderbei",
title = "Robust optimization\,: {Solution} methologies with interior point
methods",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Orlando, FL,
USA}",
year = "1992",
month = "April",
institution = "Department of Civil Engineering and Operations Research,
Princeton University",
address = "Princeton, NJ~08544, USA"
}
@techreport{ipm:Vanderbei17,
author = "R. J. Vanderbei",
title = "Primal--dual symmetric formulations of the predictor--corrector
method for {QP}",
type = "{Talk held at the Fourth SIAM Conference on Optimization in
Chicago, IL, USA}",
year = "1992",
month = "May",
institution = "Department of Civil Engineering and Operations Research,
Princeton University",
address = "Princeton, NJ~08544, USA"
}
@techreport{ipm:Vanderbei18,
author = "R. J. Vanderbei",
title = "{LOQO User's Manual}",
type = "{Technical Report}",
number = "SOL~92--05",
year = "1992",
institution = "Department of Civil Engineering and Operations Research,
Princeton University",
address = "Princeton, NJ~08544, USA",
note = "See also Vanderbei \cite{ipm:Vanderbei23,ipm:Vanderbei24}"
}
@techreport{ipm:Vanderbei19,
author = "R. J. Vanderbei",
title = "{Interior--point methods for mathematical programming\,:
Theory and practice}",
type = "{Unpublished Manuscript}",
year = "1990",
institution = "Department of Civil Engineering and Operations Research,
Princeton University",
address = "Princeton, NJ~08544, USA"
}
@article{ipm:Vanderbei20,
author = "R. J. Vanderbei",
title = "Affine--scaling trajectories associated with a semi--infinite
linear program",
journal = "Mathematics of Operations Research",
volume = "20",
year = "1995",
pages = "163--174"
}
@article{ipm:Vanderbei21,
author = "R. J. Vanderbei",
title = "Interior--point methods\,: {Algorithms} and formulations",
journal = "ORSA Journal on Computing",
volume = "6",
year = "1994",
pages = "32--34"
}
@techreport{ipm:Vanderbei22,
author = "R. J. Vanderbei and A. Duarte and B. Yang",
title = "An algorithmic and numerical comparison of several interior--point
methods",
type = "{Technical Report}",
number = "SOR--94--05",
year = "1994",
month = "July",
institution = "Department of Civil Engineering and Operations Research,
Program in Statistics and Operations Research, Princeton University",
address = "Princeton, NJ~08544, USA"
}
@techreport{ipm:Vanderbei23,
author = "R. J. Vanderbei",
title = "{LOQO\,: An} interior point code for quadratic programming",
type = "{Technical Report}",
number = "SOR--94--15",
year = "1995",
month = "February",
institution = "Department of Civil Engineering and Operations Research,
Program in Statistics and Operations Research, Princeton University",
address = "Princeton, NJ~08544, USA",
note = "See also Vanderbei \cite{ipm:Vanderbei18,ipm:Vanderbei24}"
}
@techreport{ipm:Vanderbei24,
author = "R. J. Vanderbei",
title = "{LOQO User's Manual--Version\,2.21}",
type = "{Technical Report}",
number = "SOL~96--07",
year = "1996",
institution = "Department of Civil Engineering and Operations Research,
Princeton University",
address = "Princeton, NJ~08544, USA",
note = "See also Vanderbei \cite{ipm:Vanderbei18,ipm:Vanderbei23}",
url = "http://www.princeton.edu/~rvdb/"
}
@book{ipm:Vanderbei25,
author = "R. J. Vanderbei",
title = "Linear Programming\,: Foundations and Extensions",
year = "1996",
publisher = "Kluwer Academic Publishers",
address = "Dordrecht, The Netherlands"
}
@techreport{ipm:Vanderbei26,
author = "R. J. Vanderbei and D. F. Shanno",
title = "An interior point algorithm for nonconvex nonlinear programming",
type = "{Technical Report}",
number = "SOR--97--21",
year = "1997",
institution = "Department of Civil Engineering and Operations Research,
Princeton University",
address = "Princeton, NJ~08544, USA",
note = "Revised May 1998",
url = "http://www.princeton.edu/~rvdb/"
}
@techreport{ipm:Vanderbei27,
author = "R. J. Vanderbei and H. Yurttan",
title = "Using {LOQO} to solve second--order cone programming problems",
type = "{Technical Report}",
number = "SOR--98--9",
year = "1998",
institution = "Department of Civil Engineering and Operations Research,
Princeton University",
address = "Princeton, NJ~08544, USA"
}
@inproceedings{ipm:Vannelli1,
author = "A. Vannelli",
title = "An interior point method for solving the global routing problem",
booktitle = "Proceedings of the IEEE Custom Integrated Circuits Conference,
San Diego, CA, USA, May 1988",
year = "1989",
pages = "3.4.1--3.4.4"
}
@techreport{ipm:Vannelli2,
author = "A. Vannelli and E. Klein",
title = "A {Cholesky}--conjugate gradient implementation of {Karmarkar's}
algorithm",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Washington,
DC, USA}",
year = "1988",
month = "April",
institution = "Faculty of Engineering, Department of Electrical
Engineering, University of Waterloo",
address = "Waterloo, Ontario~N2L~3G1, Canada"
}
@article{ipm:Vannelli3,
author = "A. Vannelli",
title = "An adaptation of the interior point method for solving the
global routing problem",
journal = "IEEE Transactions on Computer--Aided Design of Integrated
Circuits and Systems",
volume = "10",
number = "2",
year = "1991",
month = "February",
pages = "193--203"
}
@article{ipm:Vannelli4,
author = "A. Vannelli and L. Vargas and V. H. Quintana",
title = "Interior point optimization methods\,: {Theory}, implementations
and engineering applications",
journal = "Canadian Journal of Electrical and Computer Engineering",
volume = "117",
year = "1992",
pages = "84--94"
}
@inproceedings{ipm:Vannelli5,
author = "A. Vannelli",
title = "A parallel implementation of an interior point method for linear
programming",
booktitle = "Parallel Processing for Scientific Computing (Proceedings of
the Fifth SIAM Conference held in Houston, Texas, USA, 1991)",
year = "1992",
editor = "J. Dongarra and K. Kennedy and P. Messina and D. C. Sorrensen and
R. G. Voigt",
pages = "163--167",
publisher = "SIAM Publications",
address = "Philadelphia, PA, USA"
}
@article{ipm:Vannelli6,
author = "A. Vannelli",
title = "Teaching large--scale optimization by an interior point approach",
journal = "IEEE Transactions on Education (E)",
volume = "36",
year = "1993",
pages = "204--209"
}
@incollection{ipm:Vannelli7,
author = "A. Vannelli and A. Kennings and P. Chin",
title = "Interior point approaches for the {VLSI} placement problem",
booktitle = "Interior Point Methods of Mathematical Programming",
editor = "T. Terlaky",
year = "1996",
pages = "501--528",
series = "Applied Optimization",
volume = "5",
publisher = "Kluer Academic Publishers",
address = "Dordrecht, The Netherlands"
}
@article{ipm:Vargas1,
author = "L. S. Vargas and V. H. Quintana and A. Vannelli",
title = "A tutorial description of an interior point method and its
applications to security--constrained economic dispatch",
journal = "IEEE Transactions on Power Systems (PWRS)",
volume = "8",
year = "1993",
pages = "1315--1324"
}
@article{ipm:Vassiliadis1,
author = "V. S. Vassiliadis",
title = "Application of the modified barrier method in large--scale
quadratic problems",
journal = "Computers and Chemical Engineering",
volume = "20",
year = "1996",
pages = "S243--S248"
}
@article{ipm:Vassiliadis2,
author = "V. S. Vassiliadis and C. A. Floudas",
title = "The modified barrier function approach for large--scale
optimization",
journal = "Computers and Chemical Engineering",
volume = "21",
year = "1997",
pages = "855--874"
}
@techreport{ipm:Vavasis1,
author = "S. A. Vavasis and Y. Ye",
title = "An accelerated interior point method whose running time depends
only on {$A$}",
type = "{Technical Report}",
number = "93--1391",
year = "1993",
institution = "Department of Computer Science, Upson Hall, Cornell
University",
address = "Ithaca, NY~14853, USA",
note = "Extended abstract in\,: {\em Proceedings of the Twenty--Sixth
Annual ACM Symposium on the Theory of Computing, pp. 512--520, 1993}"
}
@techreport{ipm:Vavasis2,
author = "S. A. Vavasis and Y. Ye",
title = "A primal--dual accelerated interior point method whose
running time depends only on {$A$}",
type = "{Technical Report}",
year = "1994",
month = "December",
institution = "Department of Management Science, University of Iowa",
address = "Iowa City, IA~52242, USA",
note = "Simplified version of Vavasis and Ye \cite{ipm:Vavasis1}. See also
Vavasis and Ye \cite{ipm:Vavasis5,ipm:Vavasis7}"
}
@article{ipm:Vavasis3,
author = "S. A. Vavasis and Y. Ye",
title = "Identifying an optimal basis in linear programming",
journal = "Annals of Operations Research",
volume = "62",
year = "1996",
pages = "565--572"
}
@article{ipm:Vavasis4,
author = "S. A. Vavasis and Y. Ye",
title = "Condition numbers for polyhedra with real number data",
journal = "Operations Research Letters",
volume = "17",
year = "1995",
pages = "209--214"
}
@article{ipm:Vavasis5,
author = "S. A. Vavasis and Y. Ye",
title = "A primal--dual interior point method whose running time depends
only on the constraint matrix",
journal = "Mathematical Programming",
volume = "74",
year = "1996",
pages = "79--120",
note = "See also Vavasis and Ye\,\cite{ipm:Vavasis7}"
}
@incollection{ipm:Vavasis6,
author = "S. A. Vavasis and Y. Ye",
title = "On the relationship between layered least squares and affine
scaling steps",
editor = "J. Renegar and M. Shub and S. Smale",
booktitle = "The Mathematics of Numerical Analysis (1995 AMS--SIAM Summer
Seminar in Applied Mathematics July/August 1995 held at Park City, UT,
USA)",
series = "Lectures in Applied Mathematics",
volume = "32",
year = "1996",
pages = "857--865",
publisher = "American Mathematical Society",
address = "Providence, RI~02940--6248, USA"
}
@techreport{ipm:Vavasis7,
author = "S. A. Vavasis and Y. Ye",
title = "A simplification to\,: {A} primal--dual interior point method
whose running time depends only on the constraint matrix",
type = "{Technical Note}",
year = "1997",
month = "January",
institution = "Department of Management Science, University of Iowa",
address = "Iowa City, IA~52242, USA",
note = "See also Vavasis and Ye \cite{ipm:Vavasis1,ipm:Vavasis2,%
ipm:Vavasis5}"
}
@article{ipm:Venkaiah1,
author = "V. C. Venkaiah",
title = "An efficient algorithm for linear programming",
journal = "Proceedings of the Indian Academy of Sciences, Mathematical
Sciences",
volume = "100",
number = "3",
year = "1990",
pages = "205--301",
note = "See also K{\"a}schel\,\cite{ipm:Kaeschel2}"
}
@article{ipm:Venkaiah2,
author = "V. C. Venkaiah",
title = "Deriving {Karmarkar's} {LP} algorithm using angular projection
matrix",
journal = "Proceedings of the Indian Academy of Sciences, Mathematical
Sciences",
volume = "106",
year = "1996",
pages = "69--77"
}
@incollection{ipm:Vera1,
author = "J. R. Vera",
title = "Ill--posedness and finite precision arithmetic\,: {A} complexity
analysis of interior point methods",
booktitle = "Foundations of Computational Mathematics",
editor = "F. Cucker and M. Shub",
year = "1997",
pages = "424--433",
publisher = "Springer Verlag",
address = "Berlin, Germany"
}
@article{ipm:Vera2,
author = "J. R. Vera",
title = "On the complexity of linear programming under finite precision
arithmetic",
journal = "Mathematical Programming",
volume = "80",
year = "1998",
pages = "91--123"
}
@incollection{ipm:Vial1,
author = "J.--Ph. Vial",
title = "Approximate projections in a projective method for the linear
feasibility problem",
booktitle = "Progress in Mathematical Programming\,: Interior Point and
Related Methods",
publisher = "Springer Verlag",
address = "New York",
editor = "N. Megiddo",
year = "1989",
pages = "65--78"
}
@article{ipm:Vial2,
author = "J.--Ph. Vial",
title = "A fully polynomial-time projective method",
journal = "Operations Research Letters",
volume = "7",
year = "1988",
pages = "15--19"
}
@incollection{ipm:Vial3,
author = "J.--Ph. Vial",
title = "A unified approach to projective algorithms for linear programming",
booktitle = "Optimization\,: Proceedings of the 5th French--German Conference
in Castel--Novel, Varetz, France, October 1988",
editor = "S. Dolecki",
year = "1989",
pages = "191--220",
series = "Lecture Notes in Mathematics",
volume = "1405",
publisher = "Springer Verlag",
address = "Berlin, Germany"
}
@incollection{ipm:Vial4,
author = "J.--Ph. Vial",
title = "Decomposition of structured linear programs based on
analytic centers",
year = "1991",
pages = "190--203",
series = "Lecture Notes in Economics and Mathematical Systems",
volume = "353",
publisher = "Springer Verlag",
address = "Berlin, Germany"
}
@incollection{ipm:Vial5,
author = "J.--Ph. Vial",
title = "Computational experience with a primal--dual interior--point
method for smooth convex programming",
booktitle = "Symposium on Applied Mathematical Programming and Modeling
(APMOD '93), Budapest, Hungary, January 1993, Volume of Extended Abstracts",
editor = "I. Maros",
year = "1992",
month = "December",
pages = "583--586",
publisher = "Computer and Automation Institute, Hungarian Academy of
Sciences",
address = "Budapest, Hungary",
note = "Full version in Vial \cite{ipm:Vial6}"
}
@article{ipm:Vial6,
author = "J.--Ph. Vial",
title = "Computational experience with a primal--dual interior--point
method for smooth convex programming",
journal = "Optimization Methods and Software",
volume = "3",
year = "1994",
pages = "285--310",
note = "Condensed version in Vial \cite{ipm:Vial5}"
}
@techreport{ipm:Vial7,
author = "J.--Ph. Vial",
title = "A generic path--following algorithm with a sliding constraint and
its application to linear programming and the computation of analytic
centers",
type = "{Technical Report}",
number = "1996.8",
year = "1996",
institution = "Logilab, HEC Geneva, Section of Management Studies,
University of Geneva",
address = "CH--1211~Geneva, Switzerland"
}
@article{ipm:Vial8,
author = "J.--Ph. Vial",
title = "A path--following version of the {Todd--Burrell} procedure for
linear programming",
journal = "Mathematical Methods of Operations Research",
volume = "46",
year = "1997",
pages = "153--167"
}
@phdthesis{ipm:Vicente1,
author = "L. N. Vicente",
title = "Trust--region interior point algorithms for a class of nonlinear
programming problems",
year = "1996",
school = "Department of Computational and Applied Mathematics, Rice
University",
address = "Houston, TX~77251, USA",
note = "Available as\,: Technical Report TR96--05",
url = "http://www.mat.uc.pt/~lvicente/papers/papers.html"
}
@article{ipm:Vicente2,
author = "L. N. Vicente",
title = "On interior--point {Newton} algorithms for discretized optimal
control problems with state constraints",
journal = "?",
volume ="?",
year = "1998",
pages = "?",
note = "Found in CMP (1998), p. 2182"
}
@incollection{ipm:Villavicencio1,
author = "J. Villavicencio and M. D. Grigoriadis",
title = "Approximate {Langrangian} decomposition with a modified
{Karmarkar} logarithmic potential",
booktitle = "Network Optimization",
editor = "P. M. Pardalos and D. W. Hearn and W. W. Hager",
series = "Lecture Notes in Economics and Mathematical Systems",
volume = "450",
publisher = "Springer Verlag",
address = "Berlin, Germany",
year = "1997",
pages = "471--485"
}
@techreport{ipm:Vladimirou1,
author = "H. Vladimirou and S. A. Zenios",
title = "Scalable parallel computations for large--scale stochastic
programming",
type = "{Technical Report}",
year = "1996",
month = "April",
institution = "Department of Public and Business Administration, University
of Cyprus",
address = "Nicosia, Cyprus"
}
@incollection{ipm:Vorst1,
author = "{J. G. G. van der} Vorst",
title = "An attempt to use parallel computing in large scale optimisation",
booktitle = "Logistics, Where Ends Have to Meet\,: Proceedings of the Shell
Conference on Logistics in Apeldoorn, The Netherlands, November 1988",
editor = "{C. F. H. van} Rijn",
year = "1989",
pages = "112--119",
publisher = "Pergamon Press",
address = "Oxford, United Kingdom"
}
@incollection{ipm:Vorst2,
author = "{J. G. G. van de} Vorst",
title = "A parallel implementation of the {Karmarkar} algorithm using a
parallel linear algebra library",
booktitle = "Parallel Computing 1988, Proceedings of the SHELL Conference,
Amsterdam, The Netherlands, June 1988",
editor = "G. A. van Zee and J. G. G. van de Vorst",
year = "1988",
pages = "127--135",
series = "Lecture Notes in Computer Science",
volume = "384",
publisher = "Springer Verlag",
address = "Berlin, Germany"
}
@techreport{ipm:Vucetic1,
author = "V. Vucetic",
title = "Active set strategies in linear programming using barrier
functions",
type = "{Talk held at the TIMS/SOBRAPO Joint International Meeting in Rio de
Janeiro, Brazil}",
year = "1991",
month = "July",
institution = "Energoinvest--Sou",
address = "Tvornicka~3, YU--71000~Sarajevo, Yugoslavia"
}
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author = "C. Wallacher and U. Zimmermann",
title = "A combinatorial interior point method for network flow problems",
journal = "Mathematical Programming",
volume = "52",
year = "1992",
pages = "321--335"
}
@phdthesis{ipm:Wallacher2,
author = "C. Wallacher",
title = "{Kombinatorische Algorithmen f{\"u}r Flu{\ss}probleme and
submodulare Flu{\ss}probleme (Combinatorial algorithms for flow problems
and submodular flow problems)}",
year = "1992",
school = "Faculty of Mathematics, Technical University of Braunschweig",
address = "Braunschweig, Germany",
note = "(In German)"
}
@phdthesis{ipm:Wang1,
author = "Y. Wang",
title = "A study of projective algorithms for linear and convex
quadratic programming",
year = "1992",
month = "January",
school = "School of Operations Research and Industrial Engineering,
Cornell University",
address = "Ithaca, NY~14853--3801, USA"
}
@article{ipm:Wang2,
author = "Y. Wang and G. C. Feng and T. Z. Liu",
title = "An interior point algorithm for convex nonlinear programming
problems",
journal = "Numerical Mathematics (A Journal of Chinese Universities,
English Series)",
volume = "1",
number = "1",
year = "1993",
pages = "1--18"
}
@article{ipm:Wang3,
author = "Y. Wang and H. W. Zhang",
title = "A new potential function for linear programming and its
applications",
journal = "Journal of Mathematical Research and Exposition",
volume = "13",
year = "1993",
pages = "633--634",
note = "(In Chinese)"
}
@article{ipm:Wang4,
author = "T. Wang and R. D. C. Monteiro and J.--S. Pang",
title = "An interior point potential reduction method for constrained
equations",
journal = "Mathematical Programming",
volume = "74",
year = "1996",
pages = "159--195"
}
@article{ipm:Wang5,
author = "S. Q. Wang and Z. L. Wei",
title = "Parallel computation for linear programming with the interior
point method",
journal = "Journal on Numerical Methods and Computations with Applications",
volume = "17",
year = "1996",
pages = "57--63",
note = "(In Chinese)"
}
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author = "A. Wanka",
title = "Interior and exterior methods for linear programming",
booktitle = "Operations Research Proceedings 1988",
editor = "D. Pressmar and K. E. Jaeger and H. Krallmann and H. Schellhaas
and L. Streitfeldt",
year = "1989",
pages = "214--221",
address = "Springer Verlag, Berlin, Germany"
}
@mastersthesis{ipm:Warners1,
author = "J. P. Warners",
title = "A potential reduction approach to the radio link frequency
assignment problem",
year = "1995",
school = "Faculty of Technical Mathematics and Informatics, Delft
University of Technology",
address = "NL--2600~GA~Delft, The Netherlands"
}
@article{ipm:Warners2,
author = "J. P. Warners and T. Terlaky and C. Roos and B. Jansen",
title = "Potential reduction algorithms for structured combinatorial
optimization problems",
journal = "Operations Research Letters",
volume = "21",
year = "1997",
pages = "55--64"
}
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author = "J. P. Warners and T. Terlaky and C. Roos and B. Jansen",
title = "A potential reduction approach to the frequency assignment
problem",
journal = "Discrete Applied Mathematics",
volume = "78",
year = "1997",
pages = "251--282"
}
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author = "M. Wechs",
title = "The analyticity of interior--point--paths at strictly
complementarity solutions of linear programs",
journal = "Optimization Methods and Software",
volume = "9",
year = "1998",
pages = "209--243"
}
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author = "Z.--L. Wei",
title = "An exact solution to linear programming using an interior point
method",
journal = "Journal of Computational Mathematics",
volume = "5",
year = "1987",
pages = "264--271"
}
@article{ipm:Wei2,
author = "Z.--L. Wei",
title = "An interior point method for linear programming",
journal = "Journal of Computational Mathematics",
volume = "5",
year = "1987",
pages = "342--351"
}
@article{ipm:Wei3,
author = "Z.--L. Wei",
title = "Some recent developments in linear programming",
journal = "Mathematics in Practice and Theory",
volume = "3",
year = "1988",
pages = "82--89",
note = "(In Chinese)"
}
@article{ipm:Wei4,
author = "Z.--L. Wei and L. Wu",
title = "Implementation of a dual interior algorithm for linear programming",
journal = "Journal on Numerical Methods and Computer Applications",
volume = "14",
number = "2",
year = "1993",
pages = "131--138",
note = "(In Chinese)"
}
@article{ipm:Wei5,
author = "Z.--L. Wei",
title = "The decomposition principle and algorithms for linear programs
under interior point method, {part~I}",
journal = "Chinese Sciences Bulletin",
volume = "38",
year = "1993",
pages = "1585--1590"
}
@article{ipm:Wei6,
author = "Z.--L. Wei",
title = "The decomposition principle and algorithms for linear programs
under interior point method, {part~II}",
journal = "Chinese Sciences Bulletin",
volume = "38",
year = "1993",
pages = "1591--1595"
}
@article{ipm:Wei7,
author = "Z.--L. Wei",
title = "An estimate of {Lagrange} multipliers for linear programming using
interior--point methods",
journal = "Chinese Sciences Bulletin",
volume = "37",
year = "1992",
pages = "1334--1338"
}
@article{ipm:Wei8,
author = "H. Wei and H. Sasaki and R. Yokoyama",
title = "Application of interior point quadratic algorithm to power
system optimization problems",
journal = "Proceedings of the 1995 IEEE Power Industry Computer
Application Conference (Salt Lake City, UT, USA)",
volume = "",
year = "1995",
pages = "98--104",
note = "See also Wei et al. \cite{ipm:Wei11}"
}
@article{ipm:Wei9,
author = "Z.--L. Wei and L. Wu",
title = "A decomposition algorithm for linear programming under the
interior point method and its parallel computation",
journal = "Journal on Numerical Methods and Computer Applications",
volume = "16",
year = "1995",
pages = "99--108",
note = "(In Chinese)"
}
@article{ipm:Wei10,
author = "H. Wei and H. Sasaki and J. Kubokawa",
title = "Interior point method for hydro--thermal optimal power flow",
journal = "Proceedings of the 1995 International Conference on Energy
Management and Power Delivery",
volume = "Part 2/2",
year = "1995",
pages = "607--612"
}
@article{ipm:Wei11,
author = "H. Wei and H. Sasaki and R. Yokoyama",
title = "Application of interior point quadratic algorithm to power
system optimization problems",
journal = "IEEE Transactions on Power Systems",
volume = "11",
year = "1996",
pages = "260--266",
note = "See also Wei et al. \cite{ipm:Wei8}"
}
@article{ipm:Wei12,
author = "Z.--L. Wei",
title = "An optimal basis identification criterion for interior point
linear programming algorithms",
journal = "Mathematica Numerica Sinica",
volume = "18",
year = "1996",
pages = "215--224",
note = "(In Chinese)"
}
@article{ipm:Wei13,
author = "H. Wei and H. Sasaki and J. Kubokawa and R. Yokoyama",
title = "Interior point nonlinear programming method for optimal power
flow problems with a novel data structure",
journal = "Proceedings of the 20th International Conference on Power Industry
Computer Applications",
volume = "",
year = "1996",
pages = "134--141"
}
@article{ipm:Wei14,
author = "H. Wei and H. Sasaki and J. Kubokawa and R. Yokoyama",
title = "Interior--point method for power system nonlinear {$L_{1}$}
norm static state estimation",
journal = "IEEE Transactions on Power Systems",
volume = "13",
year = "1998",
pages = "617--623"
}
@article{ipm:Wei15,
author = "H. Wei and H. Sasaki and J. Kubokawa",
title = "Decoupled solution of hydro--thermal optimal power flow problem
by means of interior point method and network programming",
journal = "IEEE Transactions on Power Systems",
volume = "13",
year = "1998",
pages = "286--293"
}
@inbook{ipm:Werner1,
author = "J. Werner",
title = "Numerische Mathematik~2 (Numerical Mathematics~2)",
chapter = "6.4\,: {Das Karmarkar Verfahren (The Karmarkar algorithm)}",
year = "1992",
pages = "128--141",
publisher = "Vieweg Verlag",
address = "Braunschweig, Germany"
}
@techreport{ipm:Whisman1,
author = "A. W. Whisman",
title = "Optimization modelling in the military airlift command",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Las Vegas, NV,
USA}",
year = "1990",
month = "May",
institution = "CINCMAC Analysis Group, HQ~MAC/AG",
address = "Scott AFB, IL~62225, USA"
}
@techreport{ipm:White1,
author = "D. J. White",
title = "Linear programming and {H}uard's method of centres",
type = "{Working Paper}",
year = "1989",
institution = "Universities of Manchester and Virginia",
address = "Manchester, United Kingdom"
}
@mastersthesis{ipm:Wiegers1,
author = "R. M. Wiegers",
title = "Implementation of the primal--dual interior point method for
linear programming on a transputer network",
year = "1990",
month = "June",
school = "Faculty of Electrical Engineering, Delft University of Technology",
address = "NL--2628~BL~Delft, The Netherlands"
}
@article{ipm:Wild1,
author = "W. G. Wild and O. Port",
title = "The startling discovery {Bell Labs} kept in the shadows",
journal = "{Business Week}",
year = "1987",
month = "September 21st"
}
@techreport{ipm:Williams1,
author = "R. O. Williams",
title = "An implementation of the affine scaling algorithm for linear
programming problems with network constraints",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Anaheim, CA,
USA}",
year = "1991",
month = "November",
institution = "Department of Management Science, California State
University",
address = "Northridge, Los Angeles, CA~90024, USA"
}
@techreport{ipm:Wilson1,
author = "J. Wilson",
title = "A barrier function approach to mixed integer programming",
type = "{Talk held at the Symposium APMOD~'91---Applied Mathematical
Programming and Modelling, Brunel University, London, United Kingdom}",
year = "1991",
month = "January",
institution = "Loughborough University",
address = "Loughborough, United Kingdom"
}
@inbook{ipm:Winston1,
author = "W. L. Whinston",
title = "Operations Research\,: Applications and Algorithms",
chapter = "4--13\,: {Karmarkar's} method for solving {LPs}, pages 178--179,
chapter 10--6~: {Karmarkar's} method for solving {LPs}",
year = "1992",
pages = "569--574",
publisher = "PWS--Kent Publishing Company",
address = "Boston, USA",
edition = "second"
}
@incollection{ipm:Witzgall1,
author = "C. Witzgall and P. T. Boggs and P. D. Domich",
title = "On the convergence behavior of trajectories for linear programming",
booktitle = "Mathematical Developments Arising from Linear Programming\,:
Proceedings of a Joint Summer Research Conference held at Bowdoin College,
Brunswick, Maine, USA, June/July 1988",
editor = "J. C. Lagarias and M. J. Todd",
year = "1990",
pages = "161--187",
series = "Contemporary Mathematics",
volume = "114",
publisher = "American Mathematical Society",
address = "Providence, Rhode Island, USA"
}
@techreport{ipm:Witzgall2,
author = "C. Witzgall and P. T. Boggs and P. D. Domich",
title = "On center trajectories and their relatives in linear programming",
type = "{NISTIR Technical Report (in preparation)}",
year = "1991",
institution = "United States Department of Commerce, Applied and
Computational Mathematics Division, National Institute of Standards
and Technology",
address = "Gaithersburg, MD~20899, USA",
note = "First draft in April 1988"
}
@techreport{ipm:Wolkowicz1,
author = "H. Wolkowicz and A. {Ben--Israel}",
title = "A volume and constraint reducing algorithm for linear
programming",
type = "{Technical Report}",
year = "1986",
institution = "Department of Combinatorics and Optimization,
University of Waterloo",
address = "Waterloo, Ontario~N2L~3G1, Canada"
}
@techreport{ipm:Wolkowicz2,
author = "H. Wolkowicz and Q. Zhao",
title = "Semidefinite programming relaxations for the graph partitioning
problem",
type = "{Technical Report}",
year = "1996",
month = "October",
institution = "Department of Combinatorics and Optimization,
University of Waterloo",
address = "Waterloo, Ontario~N2L~3G1, Canada"
}
@techreport{ipm:Wright1,
author = "M. H. Wright",
title = "Issues of numerical analysis in barrier trajectory methods",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in New York, NY,
USA}",
year = "1989",
month = "October",
institution = "AT~\&~T~Bell Laboratories",
address = "Murray Hill, NJ~07974, USA",
note = "See Wright \cite{ipm:Wright7,ipm:Wright9}, and Murray and Wright
\cite{ipm:Murray3}"
}
@techreport{ipm:Wright2,
author = "M. H. Wright",
title = "Interior methods for nonlinearly constrained optimization",
type = "{Talk held at the SIAM Annual Meeting in Chicago, IL, USA}",
year = "1990",
month = "July",
institution = "AT~\&~T~Bell Laboratories",
address = "Murray Hill, NJ~07974, USA",
note = "See Wright \cite{ipm:Wright7,ipm:Wright9}, and Murray and Wright
\cite{ipm:Murray3}"
}
@article{ipm:Wright3,
author = "M. H. Wright",
title = "Why a pure primal {Newton} barrier step may be infeasible",
journal = "SIAM Journal on Optimization",
volume = "5",
year = "1995",
pages = "1--12"
}
@techreport{ipm:Wright4,
author = "M. H. Wright",
title = "Strategies in path--following methods for nonlinear constraints",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Philadelphia,
PA, USA}",
year = "1990",
month = "October",
institution = "AT~\&~T~Bell Laboratories",
address = "Murray Hill, NJ~07974, USA",
note = "See Wright \cite{ipm:Wright7,ipm:Wright9}, and Murray and Wright
\cite{ipm:Murray3}"
}
@techreport{ipm:Wright5,
author = "M. H. Wright",
title = "Linear algebra issues in interior methods",
type = "{Talk held at the Fourth SIAM Conference on Applied Linear Algebra
in Minneapolis, MN, USA}",
year = "1991",
month = "September",
institution = "AT~\&~T~Bell Laboratories",
address = "Murray Hill, NJ~07974, USA",
note = "See Wright \cite[Section\ 7]{ipm:Wright9}"
}
@article{ipm:Wright6,
author = "M. H. Wright",
title = "A brief history of linear programming",
journal = "SIAM News",
volume = "18",
number = "3",
year = "1985",
month = "November",
pages = "4"
}
@incollection{ipm:Wright7,
author = "M. H. Wright",
title = "Interior methods for constrained optimization",
booktitle = "Acta Numerica~1992",
editor = "A. Iserles",
year = "1992",
pages = "341--407",
publisher = "Cambridge University Press",
address = "New York, USA"
}
@techreport{ipm:Wright8,
author = "M. H. Wright",
title = "Interior point methods for large--scale nonlinear optimization
problems",
type = "{Talk held at the Fourth SIAM Conference on Optimization in Chicago,
IL, USA}",
year = "1992",
month = "May",
institution = "AT~\&~T~Bell Laboratories",
address = "Murray Hill, NJ~07974, USA",
note = "See Wright \cite{ipm:Wright9}"
}
@techreport{ipm:Wright9,
author = "M. H. Wright",
title = "Determining subspace information from the {Hessian} of a barrier
function",
type = "{Numerical Analysis Manuscript}",
number = "92--02",
year = "1992",
institution = "AT~\&~T~Bell Laboratories",
address = "Murray Hill, NJ~07974, USA"
}
@article{ipm:Wright10,
author = "M. H. Wright",
title = "Some properties of the {Hessian} of the logarithmic barrier
function",
journal = "Mathematical Programming",
volume = "67",
year = "1994",
pages = "265--295"
}
@incollection{ipm:Wright11,
author = "M. H. Wright",
title = "Some linear algebra issues in large--scale optimization",
booktitle = "Linear Algebra for Large Scale and Real--Time Applications
(Leuven 1992)",
editor = "M. S. Moonen and G. H. Golub and {B. L. R. De} Moor",
year = "1993",
pages = "315--337",
series = "NATO Advanced Science Institutes Series E\,: Applied Sciences",
volume = "232",
publisher = "Kluwer Academic Publishers",
address = "Dordrecht, The Netherlands"
}
@article{ipm:Wright12,
author = "M. H. Wright",
title = "Ill--conditioning and computational error in interior--point
methods for nonlinear programming",
journal = "SIAM Journal on Optimization",
volume = "9",
year = "1999",
pages = "84--111"
}
@techreport{ipm:Wright13,
author = "M. H. Wright",
title = "The interior--point revolution in constrained optimization",
type = "{Technical Report}",
number = "98--4--09",
year = "1998",
month = "June",
institution = "Computing Sciences Research Center, Bell Laboratories",
address = "Murray Hill, NJ~07974, USA"
}
@article{ipm:SWright1,
author = "S. J. Wright",
title = "An interior point algorithm for linearly constrained optimization",
journal = "SIAM Journal on Optimization",
volume = "2",
year = "1992",
pages = "450--473"
}
@article{ipm:SWright2,
author = "S. J. Wright",
title = "Interior point methods for optimal control of discrete--time
systems",
journal = "Journal of Optimization Theory and Applications",
volume = "77",
year = "1993",
pages = "161--187"
}
@article{ipm:SWright3,
author = "S. J. Wright",
title = "Structured interior point methods for optimal control",
journal = "Proceedings of the 30th IEEE Conference on Decision and
Control (Brighton, United Kingdom, December 1991)",
year = "1991",
volume = "2",
pages = "1711--1716"
}
@techreport{ipm:SWright4,
author = "S. J. Wright",
title = "Structured interior point methods for stagewise extended linear
quadratic programming {(ELQP)} problems",
type = "{Talk held at the American Control Conference}",
year = "1992",
month = "June",
institution = "Mathematical and Computer Science Division, Argonne
National Laboratory",
address = "Argonne, IL~60439, USA",
note = "{Technical Report} in preparation"
}
@article{ipm:SWright5,
author = "S. J. Wright",
title = "An infeasible--interior--point algorithm for linear
complementarity problems",
journal = "Mathematical Programming",
volume = "67",
year = "1994",
pages = "29--51"
}
@techreport{ipm:SWright6,
author = "S. J. Wright",
title = "Convergence of an interior--point algorithm for linear
complementarity problems under weak assumptions",
type = "{Technical Report}",
number = "MCS--P340--1192",
year = "1992",
month = "October",
institution = "Mathematical and Computer Science Division, Argonne
National Laboratory",
address = "Argonne, IL~60439, USA"
}
@article{ipm:SWright7,
author = "S. J. Wright and D. Ralph",
title = "A superlinear infeasible--interior--point algorithm for monotone
nonlinear complementarity problems",
journal = "Mathematics of Operations Research",
volume = "21",
year = "1996",
pages = "815--838"
}
@article{ipm:SWright8,
author = "S. J. Wright",
title = "A path--following infeasible--interior--point algorithm for linear
complementarity problems",
journal = "Optimization Methods and Software",
volume = "2",
year = "1993",
pages = "79--106"
}
@article{ipm:SWright9,
author = "S. J. Wright and Y. Zhang",
title = "A superquadratic infeasible--interior--point method for linear
complementarity problems",
journal = "Mathematical Programming",
volume = "73",
year = "1996",
pages = "269--289"
}
@article{ipm:SWright10,
author = "S. J. Wright",
title = "A path--following interior--point method for linear and quadratic
problems",
journal = "Annals of Operations Research",
volume = "62",
year = "1996",
pages = "103--130"
}
@article{ipm:SWright11,
author = "S. J. Wright",
title = "Stability of linear equations solvers in interior--point
methods",
journal = "SIAM Journal on Matrix Analysis and Applications",
volume = "16",
year = "1995",
pages = "1287--1307"
}
@techreport{ipm:SWright12,
author = "S. J. Wright",
title = "Stability of linear algebra computations in interior--point methods
for linear programming",
type = "{Preprint}",
number = "MCS--P446--0694",
year = "1994",
month = "June",
institution = "Mathematical and Computer Science Division, Argonne
National Laboratory",
address = "Argonne, IL~60439, USA",
note = "Revised July 1995"
}
@book{ipm:SWright13,
author = "S. J. Wright",
title = "Primal--Dual Interior--Point Methods",
year = "1996",
publisher = "SIAM Publications, SIAM",
address = "Philadelphia, PA, USA"
}
@techreport{ipm:SWright14,
author = "S. J. Wright",
title = "Modified {Cholesky} factorizations in interior--point algorithms
for linear programming",
type = "{Technical Report}",
number = "ANL/MCS--P600--0596",
year = "1996",
month = "May",
institution = "Mathematical and Computer Science Division, Argonne
National Laboratory",
address = "Argonne, IL~60439, USA",
note = "Revised June 1998"
}
@article{ipm:SWright15,
author = "S. J. Wright",
title = "Stability of augmented system factorizations in interior--point
methods",
journal = "SIAM Journal on Matrix Analysis and Applications",
volume = "18",
year = "1997",
pages = "191--222"
}
@techreport{ipm:SWright16,
author = "S. J. Wright",
title = "On the convergence of the {Newton}/log--barrier method",
type = "{Preprint}",
number = "ANL/MCS--P681--0897",
year = "1997",
month = "August",
institution = "Mathematical and Computer Science Division, Argonne
National Laboratory",
address = "Argonne, IL~60439, USA"
}
@techreport{ipm:SWright17,
author = "S. J. Wright",
title = "Effects of finite--precision arithmetic on interior--point
methods for nonlinear programming",
type = "{Preprint}",
number = "ANL/MCS--P705--0198",
year = "1998",
month = "January",
institution = "Mathematical and Computer Science Division, Argonne
National Laboratory",
address = "Argonne, IL~60439, USA"
}
@article{ipm:SWright18,
author = "S. J. Wright and F. Jarre",
title = "The role of linear objective functions in barrier methods",
journal = "Mathematical Programming",
volume = "84",
year = "1999",
pages = "357--373"
}
@article{ipm:Wu1,
author = "S. Q. Wu and F. Wu",
title = "New algorithms for linear programming",
journal = "Acta Mathematica Applicatae Sinica (English Series)",
volume = "8",
number = "1",
year = "1992",
pages = "18--26"
}
@article{ipm:Wu2,
author = "S. Q. Wu and F. Wu",
title = "A direct ellipsoid method for linear programming",
journal = "Bulletin of the Australian Matehmatical Society",
volume = "47",
number = "1",
year = "1993",
pages = "73--78"
}
@article{ipm:Wu3,
author = "S. Q. Wu and F. Wu",
title = "Rank--one techniques in log--barrier function methods for linear
programming",
journal = "Journal of Optimization Theory and Applications",
volume = "82",
year = "1994",
pages = "405--413"
}
@techreport{ipm:Wu4,
author = "F. Wu and S. Q. Wu and Y. Ye",
title = "Convergence of the {$O(\sqrt{n}\,L)$}--iteration homogeneous and
self--dual linear programming algorithm",
type = "{Working Paper}",
year = "1992",
institution = "Department of Management Science, University of Iowa",
address = "Iowa City, IA~52242, USA"
}
@article{ipm:Wu5,
author = "Y.--C. Wu and A. S. Debs and R. E. Marsten",
title = "A direct nonlinear predictor--corrector primal--dual interior
point approach to optimal power flows",
journal = "IEEE Transactions on Power Systems (PWRS)",
volume = "9",
year = "1994",
pages = "876--883",
note = "See also\,: {\em Proceedings of the Power Industry Computer
Application Conference 1993, 138--}"
}
@article{ipm:Wu6,
author = "S.--P. Wu and S. Boyd and L. Vandenberghe",
title = "{FIR} filter design via semidefinite programming and spectral
factorization",
journal = "Proceedings of the 35th IEEE Conference on Decision and Control",
volume = "1/4",
year = "1996",
pages = "271--276"
}
@techreport{ipm:Wu7,
author = "F. Wu and S. Q. Wu and Y. Ye",
title = "On quadratic convergence of the homogeneous and self--dual linear
programming algorithm",
type = "{Working Paper}",
year = "1993",
institution = "Department of Management Science, University of Iowa",
address = "Iowa City, IA~52242, USA"
}
@techreport{ipm:Wu8,
author = "J. H. Wu",
title = "Interior point algorithm for some monotone variational inequality
problems",
type = "{Preprint}",
year = "1994",
institution = "Center for Research on Transportation, University of Montreal",
address = "Montreal, Quebec, Canada"
}
@article{ipm:Wu9,
author = "J. H. Wu",
title = "Modified primal path--following scheme for the monotone
variational inequality problem",
journal = "Journal of Optimization Theory and Applications",
volume = "95",
year = "1997",
pages = "189--208"
}
@article{ipm:Xu1,
author = "S. R. Xu and H. B. Yao and Y. Q. Chen",
title = "An improved {Karmarkar} algorithm for linear programming and
its numerical tests",
journal = "Mathematica Applicata",
volume = "5",
number = "1",
year = "1992",
pages = "14--21",
note = "(In Chinese, English summary)"
}
@article{ipm:Xu2,
author = "X. J. Xu and P.--F. Hung and Y. Ye",
title = "A simplified homogeneous and self--dual linear programming
algorithm and its implementation",
journal = "Annals of Operations Research",
volume = "62",
year = "1996",
pages = "151--171"
}
@article{ipm:Xu3,
author = "S. R. Xu and D. Gong",
title = "An interior point method for solving linear programming with
hybrid linear constraints",
journal = "Acta Scientarium Naturalium Universitatis Sunyatseni",
volume = "31",
number = "4",
year = "1992",
pages = "19--25",
note = "(In Chinese)"
}
@article{ipm:Xu4,
author = "X. J. Xu and Y. Ye",
title = "A generalized homogeneous and self--dual algorithm for linear
programming",
journal = "Operations Research Letters",
volume = "17",
year = "1995",
pages = "181--190"
}
@article{ipm:Xu5,
author = "C.--X. Xu",
title = "Interior point algorithms for linear complementarity patterns",
journal = "Journal on Numerical Methods and Computer Applications",
volume = "16",
year = "1995",
pages = "109--118",
note = "(In Chinese)"
}
@phdthesis{ipm:Xu6,
author = "X. J. Xu",
title = "Interior point method for linear programming\,: {Theory} and
practice",
year = "1991",
school = "Institute of System Science, Academica Sinica",
address = "Beijing, China"
}
@techreport{ipm:Xu7,
author = "X. J. Xu",
title = "An $O(\sqrt{n}L)$--iteration large--step infeasible
path--following algorithm for linear programming",
type = "{Technical Report}",
year = "1994",
month = "August",
institution = "College of Business Administration, University of Iowa",
address = "Iowa City, IA~52242, USA"
}
@techreport{ipm:Xu8,
author = "X. J. Xu",
title = "On the implementation of a homogeneous and self--dual linear
programming algorithm",
type = "{Technical Report}",
year = "1994",
institution = "College of Business Administration, University of Iowa",
address = "Iowa City, IA~52242, USA"
}
@techreport{ipm:Xu9,
author = "S. R. Xu",
title = "The global linear convergence of an infeasible non--interior
path--following algorithm for complementarity problems with uniform
{P}--functions",
type = "{Technical Report}",
year = "1996",
month = "December",
institution = "Department of Mathematics, University of Washington",
address = "Seattle, WA~98195, USA"
}
@techreport{ipm:Xu10,
author = "S. R. Xu and J. V. Burke",
title = "A polynomial time interior--point path following algorithm for
{LCP} based on {Chen--Harker--Kanzow} smoothing techniques",
type = "{Technical Report}",
year = "1996",
month = "September",
institution = "Department of Mathematics, University of Washington",
address = "Seattle, WA~98195, USA"
}
@techreport{ipm:Xu11,
author = "X. Xu",
title = "An infeasible interior--point algorithm for solving primal and
dual geometric programs",
type = "{Working Paper}",
year = "1994",
institution = "Department of Management Science, University of Iowa",
address = "Iowa City, IA~52242, USA"
}
@article{ipm:Xuan1,
author = "Z. C. Xuan and X. S. Li and Y. K. Sui",
title = "An interior point method for solving surrogate dual problems
in quadratic programming",
journal = "Journal of the Dalian University of Technology",
year = "1997",
volume = "37",
pages = "520--522",
note = "(In Chinese, English summary)"
}
@techreport{ipm:Xue1,
author = "G. Xue and Y. Ye",
title = "An efficient algorithm for minimizing a sum of {Euclidean}
norms with applications",
type = "{University of Vermont Research Report}",
number = "CSEE/95/06--01",
year = "1995",
month = "June",
institution = "Department of Computer Science and Electrical Engineering,
The University of Vermont",
address = "Burlington, VT~05405--0156, USA"
}
@techreport{ipm:Xue2,
author = "G. Xue and Y. Ye",
title = "An efficient algorithm for minimizing a sum of {P--norms}",
type = "{Working Paper}",
number = "",
year = "1997",
month = "August",
institution = "Department of Computer Science and Electrical Engineering,
The University of Vermont",
address = "Burlington, VT~05405--0156, USA"
}
@article{ipm:Yabe1,
author = "H. Yabe and H. Yamashita",
title = "The speed of local convergence of a primal--dual interior point
method that uses a quasi--{Newton} method",
journal = "S{\= u}rikaisekikenky{\= u}sho K{\= o}ky{\= u}roku
(Proceedings of the Conference of the State of the Art of Scientific
Computing and its Prospects, Kyoto, 1993)",
volume = "880",
year = "1994",
pages = "211--219",
note = "(In Japanese)"
}
@article{ipm:Yabe2,
author = "H. Yabe and H. Yamashita",
title = "Q--superlinear convergence of primal--dual interior point
quasi--{Newton} methods for constrained optimization",
journal = "Journal of the Operations Research Society of Japan",
volume = "40",
year = "1997",
pages = "415--436"
}
@article{ipm:Yamakawa1,
author = "E. Yamakawa and Y. Matrsubara and M. Fukushima",
title = "A parallel primal--dual interior point method for multicommodity
flow problems with quadratic costs",
journal = "Journal of the Operations Research Society of Japan",
volume = "39",
year = "1996",
pages = "566--591",
note = "(In Japanese)"
}
@techreport{ipm:Yamashita1,
author = "H. Yamashita",
title = "A polynomially and quadratically convergent method for linear
programming",
type = "{Working Paper}",
year = "1986",
institution = "Mathematical Systems Institute, Inc.",
address = "Shinjuku, Tokyo, Japan"
}
@techreport{ipm:Yamashita2,
author = "H. Yamashita",
title = "A class of primal dual method for constrained optimization",
type = "{Working Paper}",
year = "1991",
institution = "Mathematical Systems Institute, Inc.",
address = "Tokyo, Japan"
}
@techreport{ipm:Yamashita3,
author = "H. Yamashita and T. Tanabe",
title = "A primal--dual interior point method for linear and nonlinear
programming",
type = "{Talk held at the Fourth SIAM Conference on Optimization in Chicago,
IL, USA}",
year = "1992",
month = "May",
institution = "Mathematical Systems Institute, Inc.",
address = "Tokyo, Japan"
}
@article{ipm:Yamashita4,
author = "H. Yamashita and H. Yabe",
title = "Superlinear and quadratic convergence of some primal--dual
interior point methods for constrained optimization",
journal = "Mathematical Programming",
volume = "75",
year = "1996",
pages = "377--397"
}
@article{ipm:Yamashita5,
author = "H. Yamashita",
title = "A globally convergent primal--dual interior point method for
constrained optimization",
journal = "Optimization Methods and Software",
volume = "10",
year = "1998",
pages = "443--469"
}
@article{ipm:Yan1,
author = "X. Yan and V. H. Quintana",
title = "An efficient technique for solving dense row problems in
security--constrained economic dispatch",
journal = "Proceedings of the Twenty--Sixth Annual North American
Power Symposium (Manhattan, KS, USA, September 1994)",
volume = "2",
year = "1994",
pages = "568--574"
}
@article{ipm:Yan2,
author = "X. Yan and V. H. Quintana",
title = "An efficient predictor--corrector interior point algorithm for
security--constrained economic dispatch",
journal = "IEEE Transactions on Power Systems",
volume = "12",
year = "1997",
pages = "803--810"
}
@article{ipm:Yan3,
author = "X. Yan and V. H. Quintana",
title = "An infeasible interior--point algorithm for optimal power--flow
problems",
journal = "Electrical Power Systems Research",
volume = "39",
year = "1996",
pages = "39--46"
}
@techreport{ipm:Yang1,
author = "E. K. Yang and W. S. Hwang",
title = "An interior point method for dynamic {Leontief} type linear
programs",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Las Vegas, NV,
USA}",
year = "1990",
month = "May",
institution = "Institute of Applied Mathematics, Tsing Hua University",
address = "Hsinchu, 30043, People Republic of China",
note = "See Yang and Hwang \cite{ipm:Yang2}"
}
@article{ipm:Yang2,
author = "E. K. Yang and W. S. Hwang",
title = "A barrier method for dynamic {Leontief} type linear programs",
journal = "European Journal of Operational Research",
volume = "60",
year = "1992",
pages = "296--305"
}
@article{ipm:Yang3,
author = "E. K. Yang and C.-H. Chou",
title = "A method for solving least--squares problems arising from angular
linear programs",
journal = "Tamkang Journal of Mathematics",
volume = "25",
year = "1994",
pages = "1--13"
}
@article{ipm:Yang4,
author = "D. Yang and S. A. Zenios",
title = "A scalable parallel interior point algorithm for stochastic linear
programming and robust optimization",
journal = "Computational Optimization and Applications",
volume = "7",
year = "1997",
pages = "143--158"
}
@article{ipm:Yang5,
author = "H.--H. Yang and D. L. Bricker",
title = "Investigation of path--following algorithms for signomial
geometric problems",
journal = "European Journal of Operational Research",
volume = "103",
year = "1997",
pages = "230--241"
}
@phdthesis{ipm:Yang6,
author = "H.--H. Yang",
title = "Investigation of path--following algorithms for signomial geometric
programming problems",
year = "1994",
school = "Department of Management Science, University of Iowa",
address = "Iowa City, IA~52242, USA"
}
@techreport{ipm:Ye1,
author = "Y. Ye",
title = "A large group of projections for linear programming",
type = "{Working Paper}",
year = "1985",
institution = "Department of Engineering Economic Systems, Stanford
University",
address = "Stanford, CA~94305, USA"
}
@techreport{ipm:Ye2,
author = "Y. Ye",
title = "Cutting current--objective method in projective algorithm for
linear programming",
type = "{Working Paper}",
year = "1985",
month = "February",
institution = "Department of Engineering Economic Systems, Stanford
University",
address = "Stanford, CA~94305, USA"
}
@techreport{ipm:Ye3,
author = "Y. Ye",
title = "Cutting--objective and scaling methods---a polynomial algorithm for
linear programming",
type = "{Working Paper}",
year = "1985",
institution = "Department of Engineering Economic Systems, Stanford
University",
address = "Stanford, CA~94305, USA",
note = "Submitted to {\em Mathematical Programming}"
}
@techreport{ipm:Ye4,
author = "Y. Ye",
title = "Barrier projection and sliding current objective method for
linear programming",
type = "{Talk held at the 12th Mathematical Programming Symposium,
Boston, MA, USA}",
year = "1985",
institution = "Department of Engineering Economic Systems, Stanford
University",
address = "Stanford, CA~94305, USA"
}
@phdthesis{ipm:Ye5,
author = "Y. Ye",
title = "Interior algorithms for linear, quadratic, and linearly constrained
convex programming",
year = "1987",
school = "Department of Engineering Economic Systems, Stanford
University",
address = "Stanford, CA~94305, USA"
}
@techreport{ipm:Ye6,
author = "Y. Ye",
title = "Dual approach of {Karmarkar's} algorithm and the
ellipsoid method",
type = "{Working Paper}",
year = "1987",
institution = "Department of Engineering Economic Systems, Stanford
University",
address = "Stanford, CA~94305, USA"
}
@techreport{ipm:Ye7,
author = "Y. Ye",
title = "Further development on the interior algorithm for convex quadratic
programming",
type = "{Working Paper}",
year = "1987",
institution = "Department of Engineering Economic Systems, Stanford
University",
address = "Stanford, CA~94305, USA"
}
@article{ipm:Ye8,
author = "Y. Ye",
title = "Karmarkar's algorithm and the ellipsoid method",
journal = "Operations Research Letters",
volume = "6",
year = "1987",
pages = "177--182"
}
@article{ipm:Ye9,
author = "Y. Ye",
title = "An ${O(n^{3}L)}$ potential reduction algorithm for linear
programming",
journal = "Mathematical Programming",
volume = "50",
year = "1991",
pages = "239--258"
}
@techreport{ipm:Ye10,
author = "Y. Ye",
title = "The ''build--down'' scheme for path--following algorithms",
type = "{Technical Report}",
year = "1988",
institution = "Integrated Systems Inc.",
address = "Santa Clara, CA, USA"
}
@techreport{ipm:Ye11,
author = "Y. Ye",
title = "A class of potential functions for linear programming",
type = "{Management Science Working Paper}",
number = "88--13",
year = "1988",
institution = "Department of Management Science, University of Iowa",
address = "Iowa City, IA~52242, USA"
}
@techreport{ipm:Ye12,
author = "Y. Ye",
title = "Potential functions and polytopes",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in New York,
NY, USA}",
year = "1989",
month = "October",
institution = "Department of Management Science, University of Iowa",
address = "Iowa City, IA~52242, USA"
}
@techreport{ipm:Ye13,
author = "Y. Ye",
title = "Eliminating columns and rows in potential reduction and
path--following algorithms for linear programming",
type = "{Working Paper Series}",
number = "89--7",
year = "1989",
institution = "Department of Management Science, University of Iowa",
address = "Iowa City, IA~52242, USA"
}
@incollection{ipm:Ye14,
author = "Y. Ye",
title = "An extension of {Karmarkar's} algorithm and the trust region
method for quadratic programming",
booktitle = "Progress in Mathematical Programming\,: Interior Point
and Related Methods",
publisher = "Springer Verlag",
address = "New York",
editor = "N. Megiddo",
year = "1989",
pages = "49--64"
}
@article{ipm:Ye15,
author = "Y. Ye",
title = "Comparative analysis of affine scaling algorithms based on
simplifying assumptions",
journal = "Mathematical Programming",
volume = "52",
year = "1991",
pages = "405--414"
}
@article{ipm:Ye16,
author = "Y. Ye",
title = "A ''build--down'' scheme for linear programming",
journal = "Mathematical Programming",
volume = "46",
year = "1990",
pages = "61--72"
}
@article{ipm:Ye17,
author = "Y. Ye",
title = "A class of projective transformations for linear programming",
journal = "SIAM Journal on Computing",
volume = "19",
year = "1990",
pages = "457--466"
}
@article{ipm:Ye18,
author = "Y. Ye",
title = "Recovering optimal basic variables in {Karmarkar's} polynomial
algorithm for linear programming",
journal = "Mathematics of Operations Research",
volume = "15",
year = "1990",
pages = "564--572"
}
@techreport{ipm:Ye19,
author = "Y. Ye",
title = "Complexity analysis on {Karmarkar's} algorithm",
type = "{Manuscript}",
year = "1990",
institution = "Department of Management Science, University of Iowa",
address = "Iowa City, IA~52242, USA"
}
@article{ipm:Ye20,
author = "Y. Ye and M. Kojima",
title = "Recovering optimal dual solutions in {Karmarkar's} polynomial
algorithm for linear programming",
journal = "Mathematical Programming",
volume = "39",
year = "1987",
pages = "305--317"
}
@article{ipm:Ye21,
author = "Y. Ye and P. M. Pardalos",
title = "A class of linear complementarity problems solvable in polynomial
time",
journal = "Linear Algebra and Its Applications",
volume = "152",
year = "1991",
pages = "3--17"
}
@article{ipm:Ye22,
author = "Y. Ye and M. J. Todd",
title = "Containing and shrinking ellipsoids in the path--following
algorithm",
journal = "Mathematical Programming",
volume = "47",
year = "1990",
pages = "1--10"
}
@techreport{ipm:Ye23,
author = "Y. Ye and E. Tse",
title = "A polynomial--time algorithm for convex quadratic programming",
type = "{Working Paper}",
year = "1986",
institution = "Department of Engineering Economic Systems, Stanford
University",
address = "Stanford, CA~94305, USA"
}
@article{ipm:Ye24,
author = "Y. Ye and E. Tse",
title = "An extension of {Karmarkar's} projective algorithm for
convex quadratic programming",
journal = "Mathematical Programming",
volume = "44",
year = "1989",
pages = "157--179"
}
@incollection{ipm:Ye25,
author = "Y. Ye",
title = "A further result on the potential reduction algorithm for
the {$P$}--matrix linear complementarity problem",
booktitle = "Advances in Optimization and Parallel Computing",
editor = "P. M. Pardalos",
year = "1992",
pages = "310--316",
publisher = "North Holland",
address = "Amsterdam, The Netherlands"
}
@article{ipm:Ye26,
author = "Y. Ye",
title = "Interior point algorithms for global optimization",
journal = "Annals of Operations Research",
volume = "25",
year = "1990",
pages = "59--74"
}
@incollection{ipm:Ye27,
author = "Y. Ye",
title = "Interior point algorithms for quadratic programming",
booktitle = "Recent Developments in Mathematical Programming",
editor = "S. Kumar",
year = "1991",
pages = "237--261",
publisher = "Gordon~\& Beach Scientific Publishers",
address = "Philadelphia, PA, USA"
}
@techreport{ipm:Ye28,
author = "Y. Ye",
title = "Line searches in potential reduction algorithm for linear
programming",
type = "Manuscript",
year = "1989",
institution = "Department of Management Science, University of Iowa",
address = "Iowa City, IA~52242, USA"
}
@article{ipm:Ye29,
author = "Y. Ye",
title = "On an affine scaling algorithm for nonconvex quadratic
programming",
journal = "Mathematical Programming",
volume = "52",
year = "1992",
pages = "285--300"
}
@article{ipm:Ye30,
author = "Y. Ye",
title = "A fully polynomial--time approximation algorithm for computing a
stationary point of the generalized linear complementarity problem",
journal = "Mathematics of Operations Research",
volume = "18",
year = "1993",
pages = "334--345"
}
@techreport{ipm:Ye31,
author = "Y. Ye",
title = "Further developments in potential reduction algorithm",
type = "{Technical Report}",
year = "1989",
institution = "Department of Management Science, University of Iowa",
address = "Iowa City, IA~52242, USA"
}
@techreport{ipm:Ye32,
author = "Y. Ye",
title = "Bimatrix equilibrium points and potential functions",
type = "{Working Paper}",
number = "88--16",
year = "1988",
institution = "Department of Management Science, University of Iowa",
address = "Iowa City, IA~52242, USA"
}
@techreport{ipm:Ye33,
author = "Y. Ye",
title = "A combinatorial property of analytic centers of polytopes",
type = "{Manuscript}",
year = "1989",
institution = "Department of Management Science, University of Iowa",
address = "Iowa City, IA~52242, USA"
}
@techreport{ipm:Ye34,
author = "Y. Ye",
title = "Anticipated behavior of affine scaling algorithms for linear
programming",
type = "{Technical Report}",
year = "1990",
institution = "Department of Management Science, University of Iowa",
address = "Iowa City, IA~52242, USA"
}
@article{ipm:Ye35,
author = "Y. Ye",
title = "On the finite convergence of interior--point algorithms for
linear programming",
journal = "Mathematical Programming",
volume = "57",
year = "1992",
pages = "325--335"
}
@techreport{ipm:Ye36,
author = "Y. Ye and S. S. Chiu",
title = "Recovering the shadow price in projection methods for linear
programming",
type = "{Technical Report}",
year = "1985",
institution = "Department of Management Science, University of Iowa",
address = "Iowa City, IA~52242, USA"
}
@techreport{ipm:Ye37,
author = "Y. Ye and F. A. Potra",
title = "An interior--point algorithm for solving entropy optimization
problems with globally linear and locally quadratic convergence rate",
type = "{Working Paper Series}",
number = "90--22",
year = "1990",
institution = "Department of Management Science, University of Iowa",
address = "Iowa City, IA~52242, USA",
note = "Same as Potra and Ye \cite{ipm:Potra5}"
}
@techreport{ipm:Ye38,
author = "Y. Ye",
title = "On the interior algorithms for nonconvex quadratic
programming",
type = "{Manuscript}",
year = "1988",
institution = "Integrated Systems, Inc.",
address = "Santa Clara, CA, USA"
}
@incollection{ipm:Ye39,
author = "Y. Ye",
title = "An {$O(n^{3}L)$} potential reduction algorithm for linear
programming",
booktitle = "Mathematical Developments Arising from Linear Programming\,:
Proceedings of a Joint Summer Research Conference held at Bowdoin College,
Brunswick, Maine, USA, June/July 1988",
editor = "J. C. Lagarias and M. J. Todd",
year = "1990",
pages = "77--88",
series = "Contemporary Mathematics",
volume = "114",
publisher = "American Mathematical Society",
address = "Providence, Rhode Island, USA"
}
@techreport{ipm:Ye40,
author = "Y. Ye",
title = "A ''build--down'' simplex--{Karmarkar} method for linear
programming",
type = "{Technical Report}",
year = "1987",
institution = "Department of Engineering Economic Systems, Stanford
University",
address = "Stanford, CA~94305, USA"
}
@article{ipm:Ye41,
author = "Y. Ye",
title = "A potential reduction algorithm allowing column generation",
journal = "SIAM Journal on Optimization",
volume = "2",
year = "1992",
pages = "7--20"
}
@article{ipm:Ye42,
author = "Y. Ye and K. O. Kortanek and J. A. Kaliski and S. Huang",
title = "Near--boundary behavior of primal--dual potential
reduction algorithms for linear programming",
journal = "Mathematical Programming",
volume = "58",
year = "1993",
pages = "243--255"
}
@article{ipm:Ye43,
author = "Y. Ye and O. G{\"u}ler and R. A. Tapia and Y. Zhang",
title = "A quadratically convergent ${O(\sqrt{n}L)}$--iteration algorithm
for linear programming",
journal = "Mathematical Programming",
volume = "59",
year = "1993",
pages = "151--162"
}
@techreport{ipm:Ye44,
author = "Y. Ye and R. A. Tapia and Y. Zhang",
title = "A superlinearly convergent ${O(\sqrt{n}L)}$--iteration algorithm
for linear programming",
type = "{Technical Report}",
number = "TR--91--22",
year = "1991",
institution = "Department of Mathematical Sciences, Rice University",
address = "Houston, TX~77251, USA"
}
@article{ipm:Ye45,
author = "Y. Ye",
title = "Toward probabilistic analysis of interior--point algorithms
for linear programming",
journal = "Mathematics of Operations Research",
volume = "19",
year = "1994",
pages = "38--52"
}
@techreport{ipm:Ye46,
author = "Y. Ye",
title = "K--projection and cutting--objective method for linear programming",
type = "{Talk held at the 12th Mathematical Programming Symposium, Boston,
MA, USA}",
year = "1985",
institution = "Department of Engineering Economic Systems, Stanford
University",
address = "Stanford, CA~94305, USA"
}
@techreport{ipm:Ye47,
author = "Y. Ye and J. A. Kaliski",
title = "Further results on build--up approaches for linear programming",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in, Anaheim, CA,
USA}",
year = "1991",
month = "November",
institution = "Department of Management Science, University of Iowa",
address = "Iowa City, IA~52242, USA"
}
@techreport{ipm:Ye48,
author = "Y. Ye",
title = "The potential algorithm for linear complementarity problems",
type = "{Technical Report}",
year = "1990",
institution = "Department of Management Science, University of Iowa",
address = "Iowa City, IA~52242, USA"
}
@article{ipm:Ye49,
author = "Y. Ye",
title = "Extensions of the potential reduction algorithm for linear
programming",
journal = "Journal of Optimization Theory and Applications",
volume = "72",
number = "3",
year = "1992",
pages = "487--498"
}
@techreport{ipm:Ye50,
author = "Y. Ye",
title = "Improving the asymptotic convergence of interior--point algorithms
for linear programming",
type = "{Working Paper}",
number = "91--15",
year = "1991",
institution = "Department of Management Science, University of Iowa",
address = "Iowa City, IA~52242, USA"
}
@article{ipm:Ye51,
author = "Y. Ye and K. M. Anstreicher",
title = "On quadratic and ${O(\sqrt{n} L)}$ convergence of a
predictor--corrector algorithm for {LCP}",
journal = "Mathematical Programming",
volume = "62",
year = "1993",
pages = "537--551"
}
@techreport{ipm:Ye52,
author = "Y. Ye",
title = "On the $Q$--order of convergence of interior--point algorithms for
linear programming",
type = "{Working Paper}",
number = "91--17",
year = "1991",
institution = "Department of Management Science, University of Iowa",
address = "Iowa City, IA~52242, USA",
note = "Also published in {\em W. Fang (ed.), Proceedings of the 1992
Symposium on Applied Mathematics, Institute of Applied Mathematics,
Chinese Academy of Sciences, 1992, pp. 534--543}"
}
@techreport{ipm:Ye53,
author = "Y. Ye",
title = "A low complexity combined {phase\,I\,--\,phase\,II} potential
reduction algorithm for linear programming",
type = "{Working Paper}",
number = "91--1",
year = "1991",
institution = "Department of Management Science, University of Iowa",
address = "Iowa City, IA~52242, USA"
}
@article{ipm:Ye54,
author = "Y. Ye",
title = "On the {von Neumann} economic growth problem",
journal = "Mathematics of Operations Research",
volume = "20",
year = "1995",
pages = "617--633"
}
@article{ipm:Ye55,
author = "Y. Ye and M. J. Todd and S. Mizuno",
title = "An {$O(\sqrt{n} L)$}--iteration homogeneous and self--dual
linear programming algorithm",
journal = "Mathematics of Operations Research",
volume = "19",
year = "1994",
pages = "53-67"
}
@article{ipm:Ye56,
author = "Y. Ye",
title = "Complexity analysis of the analytic center cutting plane method
that uses multiple cuts",
journal = "Mathematical Programming",
volume = "78",
year = "1997",
pages = "85--104"
}
@book{ipm:Ye57,
author = "Y. Ye",
title = "{Interior--Point Algorithms\,: Theory and Practice}",
year = "1997",
publisher = "John Wiley\,\&\, Sons",
address = "New York, USA"
}
@article{ipm:Ye58,
author = "Y. Ye",
title = "On the complexity of approximating a {KKT} point of quadratic
programming",
journal = "Mathematical Programming",
volume = "80",
year = "1998",
pages = "195--211"
}
@techreport{ipm:Ye59,
author = "Y. Ye",
title = "Convergence behavior of the central path homogeneous and
self--dual cones",
type = "{Technical Report}",
year = "1996",
institution = "Department of Management Science, University of Iowa",
address = "Iowa City, IA~52242, USA"
}
@article{ipm:Ye60,
author = "Y. Ye",
title = "On homogeneous and self--dual algorithms for {LCP}",
journal = "Mathematical Programming",
volume = "76",
year = "1997",
pages = "211--221"
}
@article{ipm:Ye61,
author = "Y. Ye",
title = "How partial knowledge helps to solve linear programs",
journal = "Journal of Complexity",
volume = "12",
year = "1996",
pages = "480--491"
}
@article{ipm:Ye62,
author = "Y. Ye",
title = "Approximating quadratic programming with quadratic constraints",
journal = "Mathematical Programming",
volume = "84",
year = "1999",
pages = "219--226"
}
@techreport{ipm:Ye63,
author = "Y. Ye",
title = "Approximating quadratic programming with bound constraints",
type = "{Technical Report}",
year = "1997",
month = "March",
institution = "Department of Management Science, University of Iowa",
address = "Iowa City, IA~52242, USA"
}
@techreport{ipm:Ye64,
author = "Y. Ye",
title = "Approximating quadratic optimization with linear and
boolean constraints",
type = "{Working Paper}",
year = "1997",
month = "August",
institution = "Department of Management Science, University of Iowa",
address = "Iowa City, IA~52242, USA"
}
@techreport{ipm:Ye65,
author = "Y. Ye",
title = "Approximating global quadratic optimization with convex
quadratic constraints",
type = "{Working Paper}",
year = "1998",
month = "July",
institution = "Department of Management Science, University of Iowa",
address = "Iowa City, IA~52242, USA"
}
@phdthesis{ipm:Yeh1,
author = "Q. J. Yeh",
title = "A reduced dual affine scaling algorithm for solving assignment
and transportation problems",
year = "1989",
school = "Department of Industrial Engineering and Operations Research,
Columbia University",
address = "New York, NY~10027, USA"
}
@article{ipm:Yen1,
author = "S. D. Yen and W. S. Levine",
title = "Mixed {$H_{2H}$} infinity optimization\,: {A BMI} solution",
journal = "Proceedings of the 1997 36th IEEE Conference on Decision
and Control",
volume = "Part\,1/5",
year = "1997",
pages = "460--465"
}
@article{ipm:Yoshise1,
author = "A. Yoshise",
title = "An optimization method for convex programming problems -- the
interior point method and analytical center",
journal = "Systems Control and Informations",
volume = "38",
year = "1994",
pages = "155--160",
note = "(In Japanese)"
}
@incollection{ipm:Yoshise2,
author = "A. Yoshise",
title = "Complementarity problems",
booktitle = "Interior Point Methods of Mathematical Programming",
editor = "T. Terlaky",
year = "1996",
pages = "297--367",
series = "Applied Optimization",
volume = "5",
publisher = "Kluer Academic Publishers",
address = "Dordrecht, The Netherlands"
}
@article{ipm:Yuguo1,
author = "H. Yuguo and L. Guangyi and Y. Erkeng",
title = "A new {OPF} (optimal power flow) algorithm based on {Karmarkar's}
interior point method",
journal = "Proceedings of the Chinese Society of Electrical Engineering",
volume = "16",
year = "1996",
pages = "409--412",
note = "(In Chinese)"
}
@techreport{ipm:Yun1,
author = "Z. G. Yun",
title = "High--order large--step interior--point algorithms for linear
complementarity problems",
type = "{Research Report}",
number = "650",
year = "1994",
institution = "Department of Mathematics, National University of Singapore",
address = "Singapore~0511",
note = "Identical to Zhao\,\cite{ipm:Zhao9}"
}
@techreport{ipm:Yun2,
author = "Z. G. Yun and Z. W. Liu",
title = "A line--search method for {Lagrangian} relexation ascent
algorithms",
type = "{Research Report}",
number = "644",
year = "1994",
institution = "Department of Mathematics, National University of Singapore",
address = "Singapore~0511",
note = "Identical to Zhao and Liu\,\cite{ipm:Zhao10}"
}
@article{ipm:Zaijan1,
author = "D. Zaijan",
title = "A modified {Karmarkar's} algorithm",
journal = "Applied Mathematics---A Journal of Chinese Universities",
volume = "3",
year = "1988",
pages = "41--56"
}
@article{ipm:Zaporozhan1,
author = "D. I. Zaporozhan",
title = "Exact shifts of the constraints in methods of centers",
journal = "Akademiya Nauk Respubliki Moldova Izvestiya Matematika",
volume = "",
year = "1993",
pages = "72--86, 100, 103"
}
@techreport{ipm:Zenios1,
author = "S. A. Zenios and R. Qi",
title = "Data--level parallel computing with interior point algorithms",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Orlando, FL,
USA}",
year = "1992",
month = "April",
institution = "Department of Decision Sciences, The Wharton School,
University of Pennsylvania",
address = "Philadelphia, PA~19104, USA",
note = "See Eckstein et al.\ \cite{ipm:Eckstein1}"
}
@techreport{ipm:Zenios2,
author = "S. A. Zenios and D. Yang",
title = "Massively parallel solution of robust optimization programs
via interior point algorithms",
type = "{Talk held at the INFORMS Joint National Meeting in Los Angeles,
CA, USA}",
year = "1995",
month = "April",
institution = "Department of Decision Sciences, The Wharton School,
University of Pennsylvania",
address = "Philadelphia, PA~19104, USA"
}
@incollection{ipm:Zhadan1,
author = "V. G. Zhadan",
title = "Dual barrier--projection and barrier--{Newton} methods in linear
programming",
booktitle = "System Modelling and Optimization (Proceedings of the 17th
IFIP Conference, Prague, Czech Republic, July 1995)",
year = "1996",
pages = "501--509",
editor = "J. Dolezal et al.",
publisher = "Chapman \& Hall",
address = "London, Great Britain"
}
@article{ipm:Zhang1,
author = "Y. Zhang and R. A. Tapia and J. E. Dennis",
title = "On the superlinear and quadratic convergence of
primal--dual interior point linear programming algorithms",
journal = "SIAM Journal on Optimization",
volume = "2",
number = "2",
year = "1992",
pages = "304--324"
}
@article{ipm:Zhang2,
author = "Y. Zhang and R. A. Tapia and F. Potra",
title = "On the superlinear convergence of interior point algorithms
for a general class of problems",
journal = "SIAM Journal on Optimization",
volume = "3",
number = "2",
year = "1993",
pages = "413--422"
}
@techreport{ipm:Zhang3,
author = "Y. Zhang and R. A. Tapia",
title = "A polynomial--time and superlinearly convergent interior point
algorithm for linear programming",
type = "{Technical Report}",
year = "1991",
month = "March",
institution = "Department of Mathematical Sciences, Rice University",
address = "Houston, TX~77251, USA",
note = "To appear in {\em SIAM Journal on Optimization, 1992}"
}
@techreport{ipm:Zhang4,
author = "S. Zhang",
title = "On the convergence property of {Iri--Imai's} method for
linear programming",
type = "{Technical Report}",
number = "8917/A",
year = "1989",
institution = "Economic Institute, Erasmus University",
address = "Rotterdam, The Netherlands",
note = "See also Zhang \cite{ipm:SZhang1}"
}
@techreport{ipm:Zhang5,
author = "Y. Zhang",
title = "Super--linear convergence of interior point algorithms for a class
of mathematical programming problems",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Nashville,
Tennessee, USA}",
year = "1991",
month = "May",
institution = "Department of Mathematics \& Statistics, University of
Maryland Baltimore County",
address = "Baltimore, MD~21228, USA"
}
@article{ipm:Zhang6,
author = "J. Z. Zhang",
title = "The affine transformation method and the path following method
for solving linear programming problems",
journal = "Chinese Journal of Operations Research",
volume = "8",
number = "2",
year = "1989",
pages = "25--34",
note = "(In Chinese)"
}
@techreport{ipm:Zhang7,
author = "Y. Zhang and R. A. Tapia",
title = "A quadratically convergent polynomial primal--dual interior--point
algorithm for linear programming",
type = "{Technical Report}",
number = "TR~90--40",
year = "1990",
institution = "Department of Mathematical Sciences, Rice University",
address = "Houston, TX~77251, USA",
note = "To appear in {\em SIAM Journal on Optimization 3 (1993)}"
}
@article{ipm:Zhang8,
author = "Y. Zhang and R. A. Tapia",
title = "Superlinear and quadratic convergence of primal--dual
interior--point methods for linear programming revisited",
journal = "Journal of Optimization Theory and Applications",
volume = "73",
number = "2",
year = "1992",
pages = "229--242"
}
@techreport{ipm:Zhang9,
author = "Y. Zhang and R. A. Tapia",
title = "On the convergence of interior--point methods to the center of the
solution set in linear programming",
type = "{Technical Report}",
number = "TR~91--30",
year = "1991",
institution = "Department of Mathematical Sciences, Rice University",
address = "Houston, TX~77251, USA"
}
@article{ipm:Zhang10,
author = "Y. Zhang and A. S. El--Bakry",
title = "A modified predictor--corrector algorithm for locating
weighted centers in linear programming",
journal = "Journal of Optimization Theory and Applications",
volume = "80",
year = "1994",
pages = "319--331"
}
@article{ipm:Zhang11,
author = "Y. Zhang",
title = "On the convergence of a class of infeasible interior--point methods
for the horizontal linear complementarity problem",
journal = "SIAM Journal on Optimization",
volume = "4",
year = "1994",
pages = "208--227"
}
@article{ipm:Zhang12,
author = "Y. Zhang",
title = "A primal--dual interior point approach for computing the
$\ell_{1}$ and $\ell_{\infty}$ solutions of overdetermined linear systems",
journal = "Journal of Optimization Theory and Applications",
volume = "77",
number = "2",
year = "1993",
pages = "323--341"
}
@article{ipm:Zhang13,
author = "Y. Zhang and D. Zhang",
title = "Superlinear convergence of infeasible interior--point
methods for linear programming",
journal = "Mathematical Programming",
volume = "66",
year = "1994",
pages = "361--377"
}
@techreport{ipm:Zhang14,
author = "D. Zhang and Y. Zhang",
title = "An infeasible--interior--point algorithm with polynomiality and
{$Q$}--subcubic convergence",
type = "{Research Report}",
number = "93--13",
year = "1993",
month = "July",
institution = "Department of Mathematics and Statistics, University of
Maryland Baltimore County",
address = "Baltimore, MD~21228--5398, USA"
}
@article{ipm:Zhang15,
author = "Y. Zhang and D. Zhang",
title = "On polynomiality of the {Mehrotra}--type predictor--corrector
interior--point algorithm",
journal = "Mathematical Programming",
volume = "68",
year = "1995",
pages = "303--318"
}
@article{ipm:Zhang16,
author = "Y. Zhang",
title = "On extending primal--dual interior--point algorithms from linear
programming to semidefinite programming",
journal = "SIAM Journal on Optimization",
volume = "8",
year = "1998",
pages = "365--386"
}
@article{ipm:Zhang17,
author = "D. Zhang and Y. Zhang",
title = "A {Mehrotra}--type predictor--corrector algorithm with
polynomiality and {Q}--subquadratic convergence",
journal = "Annals of Operations Research",
volume = "62",
year = "1996",
pages = "131--150"
}
@techreport{ipm:Zhang18,
author = "Y. Zhang",
title = "Solving large--scale linear programs by interior--point methods
under the {MATLAB} environment",
type = "{Technical Report}",
number = "96--01",
year = "1996",
month = "March",
institution = "Department of Mathematics and Statistics, University of
Maryland Baltimore County",
address = "Baltimore, MD~21228--5398, USA"
}
@article{ipm:Zhang19,
author = "X. Zhang and J. Zhou and J. Yu",
title = "An optimization method based on a primal--dual interior point
quadratic programming approach",
journal = "Journal of the Huazhong University of Science and Technology",
volume = "23",
number = "9",
year = "1995",
pages = "1--5",
note = "(In Chinese)"
}
@article{ipm:Zhang20,
author = "X. Zhang and J. Zhou",
title = "Interior point method for solving optimization problems",
journal = "Proceedings of the International Conference on Intelligent
Manufacturing (Wuhan, China, 1995)",
year = "1995",
pages = "149--155"
}
@article{ipm:Zhang21,
author = "X. Zhang and K.--C. Zhang",
title = "A homotopy interior algorithm for posynomial geometric programming",
journal = "Mathematica Numerica Sinica",
volume = "18",
year = "1996",
pages = "225--232",
note = "(In Chinese)"
}
@techreport{ipm:Zhang22,
author = "Y. Zhang",
title = "User's guide to {LIPSOL}",
type = "{Technical Report}",
year = "1995",
month = "July",
institution = "Department of Mathematics and Statistics, University of
Maryland Baltimore County",
address = "Baltimore, MD~21228--5398, USA",
note = "See also Zhang \cite{ipm:Zhang24}",
url = "http://www.math.umbc.edu/~zhang/lipsol/"
}
@techreport{ipm:Zhang23,
author = "Y. Zhang",
title = "{LIPSOL -- A MATLAB} toolkit for linear programming
interior--point solvers",
type = "{Technical Report}",
year = "1994",
institution = "Department of Mathematics and Statistics, University of
Maryland Baltimore County",
address = "Baltimore, MD~21228--5398, USA",
note = "See also Zhang \cite{ipm:Zhang23}"
}
@techreport{ipm:Zhang24,
author = "D.Zhang and Y. Zhang",
title = "On constructing interior--point path--following methods for
certain semimonotone complemntarity problems",
type = "{Technical Report}",
number = "TR~97--19",
year = "1997",
institution = "Department of Computational and Applied Mathematics, Rice
University",
address = "Houston, TX~77251, USA"
}
@article{ipm:SZhang1,
author = "S. Zhang",
title = "The convergence property of the {Iri--Imai} algorithm for
some smooth convex programming problems",
journal = "Journal of Optimization Theory and Applications",
volume = "82",
year = "1994",
pages = "121--138",
note = "See also Zhang \cite{ipm:Zhang4}"
}
@article{ipm:SZhang2,
author = "S. Zhang and M. Shi",
title = "On the polynomiality of {Iri and Imai's} new algorithm for linear
programming",
journal = "Journal of Qinhua University",
volume = "28",
year = "1988",
pages = "121--126",
note = "(In Chinese)"
}
@article{ipm:Zhao1,
author = "G. Y. Zhao and J. Stoer",
title = "Estimating the complexity of path--following methods for
solving linear programs by curvature integrals",
journal = "Applied Mathematics~{\&}~Optimization",
volume = "27",
number = "1",
year = "1993",
pages = "85--103"
}
@techreport{ipm:Zhao2,
author = "Y. Zhao",
title = "A classification of trajectory optimization algorithms",
type = "{Technical Report}",
number = "91/115",
year = "1991",
month = "April",
institution = "Minnesota Supercomputer Institute, University of Minnesota",
address = "Minneapolis, MN~55415, USA"
}
@article{ipm:Zhao3,
author = "G. Y. Zhao",
title = "Relationship between the curvature integral and the complexity of
path--following methods in linear programming",
journal = "SIAM Journal on Optimization",
volume = "6",
year = "1996",
pages = "57--73"
}
@article{ipm:Zhao4,
author = "G. Y. Zhao and J. Zhu",
title = "The curvature integral and the complexity of linear
complementarity problems",
journal = "Mathematical Programming",
volume = "70",
year = "1995",
pages = "107--122"
}
@incollection{ipm:Zhao5,
author = "G. Y. Zhao and J. Zhu",
title = "Analytical properties of the central trajectory in interior point
methods",
booktitle = "Advances in Optimization and Approximation",
editor = "D.--Z. Du and J. Sun",
year = "1994",
pages = "362--375",
series = "Nonconvex Optimization and Its Applications",
volume = "1",
publisher = "Kluwer Academic Publishers",
address = "Dordrecht, The Netherlands"
}
@phdthesis{ipm:Zhao6,
author = "G. Y. Zhao",
title = "Estimating the complexity of path--following methods in linear
programming by curvature integrals along the central trajectory",
year = "1991",
school = "Institut f{\"u}r Angewandte Mathematik und Statistik,
Universit{\"a}t W{\"u}rzburg",
address = "Am Hubland, D--97074~W{\"u}rzburg, Germany"
}
@article{ipm:Zhao7,
author = "G. Y. Zhao",
title = "On the choice of parameters for power--series interior point
algorithms in linear programming",
journal = "Mathematical Programming",
volume = "68",
year = "1995",
pages = "49--71"
}
@article{ipm:Zhao8,
author = "G. Y. Zhao and J. Sun and J. Zhu",
title = "A primal--dual affine scaling algorithm with necessary centering
as a safeguard",
journal = "Optimization",
volume = "35",
year = "1995",
pages = "333--343"
}
@techreport{ipm:Zhao9,
author = "G. Y. Zhao",
title = "High--order large--step interior point algorithms for linear
complementary problems",
type = "{Research Report}",
number = "650",
year = "1995",
institution = "Department of Mathematics, National University of Singapore",
address = "Singapore~0511",
note = "Identical to Yun\,\cite{ipm:Yun1}"
}
@techreport{ipm:Zhao10,
author = "G. Y. Zhao and Z. W. Liu",
title = "A line search method for {Lagrangian} relaxation ascent algorithms",
type = "{Technical Report}",
number = "644",
year = "1995",
institution = "Department of Mathematics, National University of Singapore",
address = "Singapore~0511",
note = "Identical to Yun and Liu\,\cite{ipm:Yun2}"
}
@techreport{ipm:Zhao11,
author = "G. Y. Zhao",
title = "Large--step path--following primal--dual algorithms for linear
programming",
type = "{Research Report}",
number = "613",
year = "1994",
month = "March",
institution = "Department of Mathematics, National University of Singapore",
address = "Singapore~0511"
}
@article{ipm:Zhao12,
author = "G. Y. Zhao",
title = "Interior point algorithms for linear complementarity problems
based on large neighborhoods of the central path",
journal = "SIAM Journal on Optimization",
volume = "8",
year = "1998",
pages = "397--413"
}
@techreport{ipm:Zhao13,
author = "G. Y. Zhao",
title = "Log--barrier decomposition methods for solving two--stage
stochastic programs",
type = "{Research Report}",
number = "711",
year = "1997",
month = "June",
institution = "Department of Mathematics, National University of Singapore",
address = "Singapore~0511",
note = "Revised June 1998"
}
@techreport{ipm:Zhao14,
author = "G. Y. Zhao and J. Sun",
title = "On the rate of local convergence of higher--order
infeasible--path--following algorithms for {$P_{*}$--LCP with or without
strictly complementary solutions}",
type = "{Research Report}",
number = "698",
year = "1997",
month = "March",
institution = "Department of Mathematics, National University of Singapore",
address = "Singapore~0511"
}
@techreport{ipm:Zhao15,
author = "G. Y. Zhao",
title = "Interior point methods with decomposition for linear programs",
type = "{Research Report}",
number = "686",
year = "1996",
institution = "Department of Mathematics, National University of Singapore",
address = "Singapore~0511"
}
@techreport{ipm:Zhao16,
author = "G. Y. Zhao",
title = "Barrier function in the {Lagrangian} dual method for solving
multi--stage stochastic nonlinear programs",
type = "{Research Report}",
number = "",
year = "1998",
institution = "Department of Mathematics, National University of Singapore",
address = "Singapore~0511"
}
@article{ipm:Zheng1,
author = "Q. Zheng",
title = "On the complexity of linear programming problems",
journal = "Chinese Journal of Operations Research",
volume = "7",
number = "2",
year = "1988",
pages = "1--10",
note = "(In Chinese)"
}
@article{ipm:Zhou1,
author = "J. Zhou and N. Xu and W. Chen",
title = "Discussion on {Karmarkar's} method for solving unstandard model",
journal = "Journal of Southeastern University (Nanjing, PR China), English
Edition",
volume = "5",
number = "1",
year = "1989",
pages = "38--45",
note = ""
}
@techreport{ipm:Zhu1,
author = "J. Zhu and K. O. Kortanek",
title = "A polynomial path--following algorithm for linearly constrained
convex programming",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Philadelphia,
PA, USA}",
year = "1990",
month = "October",
institution = "College of Business Administration, University of Iowa",
address = "Iowa City, IA~52240, USA"
}
@article{ipm:Zhu2,
author = "J. Zhu",
title = "A path following algorithm for a class of convex programming
problems",
journal = "Zeitschrift f{\"u}r Operations Research---Methods and Models of
Operations Research",
volume = "36",
number = "4",
pages = "539--377",
year = "1992"
}
@article{ipm:Zhu3,
author = "J. Zhu and S. Huang",
title = "On the convergence rate of the duality gap in a symmetric
primal--dual potential reduction algorithm",
journal = "Operations Research Letters",
volume = "11",
year = "1992",
pages = "289--291"
}
@techreport{ipm:Zikan1,
author = "K. Zikan and R. W. Cottle",
title = "The box method for linear programming, {Part\,I\,: Basic} theory",
type = "{Technical Report}",
year = "1987",
institution = "Systems Optimization Laboratory, Department of Operations
Research, Stanford University",
address = "Stanford, CA~94305--4022, USA"
}
@techreport{ipm:Zikan2,
author = "K. Zikan and R. W. Cottle",
title = "The box method for linear programming, {Part\,II\,: Treatment}
of problems in standard form with explicitly bounded variables",
type = "{Technical Report}",
year = "1987",
institution = "Systems Optimization Laboratory, Department of Operations
Research, Stanford University",
address = "Stanford, CA~94305--4022, USA"
}
@techreport{ipm:Zikan3,
author = "K. Zikan and R. W. Cottle",
title = "Solving linear programs with the box method",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in Washington,
DC, USA}",
year = "1988",
month = "April",
institution = "Systems Optimization Laboratory, Department of Operations
Research, Stanford University",
address = "Stanford, CA~94305--4022, USA"
}
@incollection{ipm:Zimmermann1,
author = "U. Zimmermann",
title = "On recent developments in linear programming",
booktitle = "Trends in Mathematical Optimization\,: Proceedings of the
4th French--German Conference on Optimization in Irsee, Germany, April
1986",
editor = "K. H. Hoffmann and J. B. Hiriat--Urruty and C. Lemarechal
and J. Zowe",
series = "International Series of Numerical Mathematics",
volume = "84",
year = "1988",
pages = "353--390",
publisher = "Birkh{\"a}user Verlag",
address = "Basel, Switzerland"
}
@techreport{ipm:Zimmermann2,
author = "U. Zimmermann",
title = "Search directions for projective methods",
type = "{Technical Report}",
year = "1989",
month = "February",
institution = "Technische Universit{\"a}t Braunschweig, Institut f{\"u}r
Angewandte Mathematik, Abt.\ f{\"u}r Math.\ Optimierung",
address = "Pockelstr.~14, D--3300~Braunschweig, Germany"
}
@article{ipm:Zimmermann3,
author = "U. Zimmermann",
title = "Search directions for a class of projective methods",
journal = "Zeitschrift f{\"u}r Operations Research---Methods and Models of
Operations Research",
volume = "34",
year = "1990",
pages = "353--379"
}
@techreport{ipm:Zimmermann4,
author = "U. Zimmermann and C. Wallacher",
title = "An interior point method for flow problems",
type = "{Talk held at the DGOR--Jahrestagung in Vienna, Austria}",
year = "1990",
month = "August",
institution = "Technische Universit{\"a}t Braunschweig, Institut f{\"u}r
Angewandte Mathematik, Abt.\ f{\"u}r Math.\ Optimierung",
address = "Pockelstr.~14, D--3300~Braunschweig, Germany",
note = "See also Wallacher and Zimmermann \cite{ipm:Wallacher1}"
}
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