@InCollection{int:Abhyankar1,
author = "S. S. Abhyankar and T. L. Morin and T. B. Trafalis",
title = "Efficient faces of polytopes~: {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{int: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 = nov,
institution = "Operations Research Center, University of California",
address = "Berkeley, CA~94720, USA",
}
@Article{int: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",
}
@TechReport{int:Adler3,
author = "I. Adler and R. D. C. Monteiro",
title = "A geometric view of parametric 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 = jan,
institution = "Dept.\ of Industrial Engineering and Operations
Research, University of California",
address = "Berkeley, CA~94720, USA",
}
@TechReport{int: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 = apr,
institution = "Dept.\ of Industrial Engineering and Operations
Research, University of California",
address = "Berkeley, CA~94720, USA",
}
@TechReport{int: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 = oct,
institution = "Dept.\ of Industrial Engineering and Operations
Research, University of California",
address = "Berkeley, CA~94720, USA",
}
@TechReport{int: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 = "Dept.\ of Industrial Engineering and Operations
Research, University of California",
address = "Berkeley, CA~94720, USA",
}
@TechReport{int: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 = oct,
institution = "Dept.\ of Industrial Engineering and Operations
Research, University of California",
address = "Berkeley, CA~94720, USA",
}
@TechReport{int: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 = "Dept.\ of Industrial Engineering and Operations
Research, University of California",
address = "Berkeley, CA~94720, USA",
}
@Article{int: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{int: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{int: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 = "Dept.\ of Industrial Engineering and Operations
Research, University of California",
address = "Berkeley, CA~94720, USA",
}
@TechReport{int: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 = jul,
institution = "Dept.\ of Industrial Engineering and Operations
Research, University of California",
address = "Berkeley, CA~94720, USA",
}
@TechReport{int: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 = "Dept.\ of Industrial Engineering and Operations
Research, University of California",
address = "Berkeley, CA~94720, USA",
}
@InCollection{int: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{int:Akguel1,
author = "M. Akguel",
title = "A short proof of {Karmarkar}'s main result",
journal = "Doga Tuerk Matematik Dergisi (= Turkish Journal of
Mathematics, Ankara)",
volume = "14",
year = "1990",
pages = "48--55",
}
@Article{int:Akguel2,
author = "M. Akguel",
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{int:Andersen1,
author = "J. 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 = jan,
institution = "Dept.\ of Mathematics and Statistics, Brunel
University",
address = "Uxbridge, Middlesex~UB8~3PH, UK",
}
@TechReport{int:Andersen2,
author = "J. 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, UK}",
year = "1991",
month = jan,
institution = "Dept.\ of Mathematics and Statistics, Brunel
University",
address = "Uxbridge, Middlesex~UB8~3PH, UK",
}
@Article{int: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{int:Angier1,
author = "N. Angier",
title = "Folding the perfect corner",
journal = "Time Magazin",
volume = "124",
year = "1984",
month = "December 3",
pages = "55",
}
@TechReport{int:Anstreicher1,
author = "K. M. Anstreicher",
title = "Analysis of a modified {Karmarkar}'s algorithm for
linear programming",
type = "{Technical Report}",
number = "B\#84",
year = "1985",
month = aug,
institution = "Yale School of Management, Yale University",
address = "New Haven, CT~06520, USA",
}
@TechReport{int:Anstreicher2,
author = "K. M. Anstreicher",
title = "Analysis of {Karmarkar}'s algorithm for fractional
linear programming",
type = "{Technical Report}",
year = "1985",
month = nov,
institution = "Yale School of Management, Yale University",
address = "New Haven, CT~06520, USA",
}
@Article{int: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{int:Anstreicher4,
author = "K. M. Anstreicher",
title = "A strengthened acceptance criterion for approximate
projections in {Karmarkar}'s algorithm",
journal = "Operations Research Letters",
volume = "5",
year = "1986",
pages = "211--214",
}
@TechReport{int:Anstreicher5,
author = "K. M. Anstreicher",
title = "On the complexity of the projective algorithm for
standard form linear programming",
type = "{Technical Report}",
year = "1987",
institution = "Yale School of Management, Yale University",
address = "New Haven, CT~06520, USA",
}
@InCollection{int: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{int:Anstreicher7,
author = "K. M. Anstreicher",
title = "Linear programming and the {Newton} barrier flow",
journal = "Mathematical Programming",
volume = "41",
year = "1988",
pages = "367--373",
}
@Article{int:Anstreicher8,
author = "K. M. Anstreicher",
title = "On the performance of {Karmarkar}'s algorithm over a
sequence of iterations",
journal = "SIAM Journal on Computing",
volume = "1",
number = "1",
year = "1991",
pages = "22--29",
}
@Article{int: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{int:Anstreicher10,
author = "K. M. Anstreicher",
title = "Progress in interior point algorithms since 1984",
journal = "SIAM News",
volume = "22",
year = "1989",
month = mar,
pages = "12--14",
}
@TechReport{int:Anstreicher11,
author = "K. M. Anstreicher",
title = "A combined phase~{I} -- phase~{II} scaled potential
algorithm for linear programming",
type = "CORE Discussion Paper",
number = "8939",
year = "1989",
institution = "Center for Operations Research and Econometrics,
Universite Catholique de Louvain",
address = "B-1348~Louvain-la-Neuve, Belgium",
note = "To appear in {\em Mathematical Programming, Series~B,
1991}",
}
@Article{int: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",
}
@TechReport{int:Anstreicher13,
author = "K. M. Anstreicher and R. A. Bosch",
title = "Long steps in a ${O(n^{3}L)}$ algorithm for linear
programming",
type = "{Technical Report}",
year = "1988",
institution = "Yale School of Management, Yale University",
address = "New Haven, CT~06520, USA",
}
@TechReport{int:Anstreicher14,
author = "K. M. Anstreicher and P. Watteyne",
title = "A family of search directions for {Karmarkar}'s
algorithm",
type = "CORE Discussion Paper",
number = "9030",
year = "1990",
institution = "Center for Operations Research and Econometrics,
Universite Catholique de Louvain",
address = "B-1348~Louvain-la-Neuve, Belgium",
}
@TechReport{int: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",
type = "{Technical Report}",
number = "90--53",
year = "1990",
institution = "Faculty of Mathematics and Informatics, TU Delft",
address = "NL-2628~BL~Delft, The Netherlands",
}
@TechReport{int:Anstreicher16,
author = "K. M. Anstreicher",
title = "Strict monotonicity and improved complexity in the
standard form projective algorithm for linear
programming",
type = "CORE Discussion Paper",
number = "9035",
year = "1990",
institution = "Center for Operations Research and Econometrics,
Universite Catholique de Louvain",
address = "B-1348~Louvain-la-Neuve, Belgium",
}
@Article{int: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{int: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",
}
@TechReport{int:Anstreicher19,
author = "K. M. Anstreicher",
title = "On long step path following and {SUMT} for linear and
quadratic programming",
type = "{Technical Report}",
year = "1990",
month = aug,
institution = "Yale School of Management, Yale University",
address = "New Haven, CT~06520, USA",
}
@TechReport{int:Anstreicher20,
author = "K. M. Anstreicher",
title = "On interior algorithms for linear programming with no
regularity assumptions",
type = "{Technical Report}",
year = "1991",
institution = "Yale School of Management, Yale University",
address = "New Haven, CT~06520, USA",
}
@TechReport{int: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",
}
@TechReport{int: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 = apr,
institution = "Yale School of Management, Yale University",
address = "New Haven, CT~06520, USA",
}
@TechReport{int: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 = nov,
institution = "Dept.\ of Management Science, University of Iowa",
address = "Iowa City, IA~52242, USA",
}
@Article{int: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{int: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 = aug,
institution = "Dept.\ of Operations Research, Southern Methodist
University",
address = "Dallas, TX~75275, USA",
}
@TechReport{int: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 = "Dept.\ of Operations Research, Southern Methodist
University",
address = "Dallas, TX~75275, USA",
}
@TechReport{int:Asic1,
author = "M. D. Asic and V. V. Kovacevic--Vujcic and M. D.
Radosavljevic--Nikolic",
title = "Behavior of {Karmarkar}'s method on degenerate
problems",
type = "{Technical Report}",
year = "1988",
institution = "Dept.\ of Mathematics, Michigan State University",
address = "East Lansing, MI~48824, USA",
}
@Article{int:Asic2,
author = "M. D. Asic and V. V. Kovacevic--Vujcic and M. D.
Radosavljevic--Nikolic",
title = "Asymptotic behavior of {Karmarkar}'s method for
linear programming",
journal = "Mathematical Programming",
volume = "46",
year = "1990",
pages = "173--190",
}
@TechReport{int:Asic3,
author = "M. D. Asic and V. V. Kovacevic--Vujcic and M. D.
Radosavljevic--Nikolic",
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{int:Asic4,
author = "M. D. Asic and V. V. Kovacevic--Vujcic",
title = "An interior semi--infinite programming method",
journal = "Journal of Optimization Theory and Applications",
volume = "59",
year = "1988",
pages = "369--390",
}
@InCollection{int:Asic5,
author = "M. D. Asic and V. V. Kovacevic--Vujcic and M. D.
Radosavljevic--Nikolic",
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",
}
@InCollection{int:Asic6,
author = "M. D. Asic and V. V. Kovacevic--Vujcic and M. D.
Radosavljevic--Nikolic",
title = "Karmarkar algoritam~: {Analiza} numericke stabilnosti
i neke modifikacije",
booktitle = "Proceedings of the 12th Yugoslav Symposium on
Operations Research, Herceg--Novi, Yugoslavia, October
1985",
year = "1985",
pages = "33--41",
note = "(In Yugoslav)",
}
@InCollection{int:Asic7,
author = "M. D. Asic and V. V. Kovacevic--Vujcic and M. D.
Radosavljevic--Nikolic",
title = "Asimptotsko ponasanje {Karmarkarove} metode",
booktitle = "Proceedings of the 13th Yugoslav Symposium on
Operations Research, Herceg--Novi, Yugoslavia, October
1986",
year = "1986",
pages = "81--88",
note = "(In Yugoslav)",
}
@Misc{int: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",
}
@MastersThesis{int: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 = dec,
school = "{Fachbereich Wirtschaftswissenschaften und Operations
Research, FernUniversit{\"a}t Hagen}",
address = "P. O. Box 940, D-5800 Hagen, Germany",
note = "(In German)",
bibdate = "Sat Dec 30 09:52:31 1995",
}
@TechReport{int: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 = "Dept.\ of Computer Science, Rutgers University",
address = "New Brunswick, NJ~08903, USA",
}
@TechReport{int: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 = jan,
institution = "Shell Research Center (KSLA)",
address = "Amsterdam, The Netherlands",
}
@TechReport{int: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 = sep,
institution = "Ekonomska Fakulteta Borisa Kidrica, University of
Ljubljana",
address = "YU-61109~Ljubljana, Yugoslavia",
bibdate = "Sat Dec 30 09:52:35 1995",
}
@TechReport{int:Barle2,
author = "J. Barle and J. Grad",
title = "The implementations of interior point methods for
solving {LP on PC}",
type = "{Talk held at the DGOR--Jahrestagung in Vienna,
Austria}",
year = "1990",
month = aug,
institution = "Ekonomska Fakulteta Borisa Kidrica, University of
Ljubljana",
address = "YU-61109~Ljubljana, Yugoslavia",
}
@Article{int: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{int:Barnes2,
author = "E. R. Barnes",
title = "A sparse matrix version of {Karmarkar}'s algorithm",
type = "{Technical Report}",
year = "1986",
institution = "Dept.\ of Mathematical Sciences, IBM~T.~J.~Watson
Research Center",
address = "P.~O.~Box~218, Yorktown Heights, NY~10598, USA",
}
@TechReport{int: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 = oct,
institution = "Dept.\ of Mathematical Sciences, IBM~T.~J.~Watson
Research Center",
address = "P.~O.~Box~218, Yorktown Heights, NY~10598, USA",
}
@TechReport{int:Barnes4,
author = "E. R. Barnes",
title = "The role of centering in interior point methods",
type = "{Technical Report}",
year = "1988",
institution = "Dept.\ of Mathematical Sciences, IBM~T.~J.~Watson
Research Center",
address = "P.~O.~Box~218, Yorktown Heights, NY~10598, USA",
}
@TechReport{int: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 = apr,
institution = "Dept.\ of Mathematical Sciences, IBM~T.~J.~Watson
Research Center",
address = "P.~O.~Box~218, Yorktown Heights, NY~10598, USA",
}
@TechReport{int: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{int: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 = oct,
institution = "School of Industrial and Systems Engineering, Georgia
Institute of Technology",
address = "Atlanta, GA~30322-0205, USA",
}
@TechReport{int: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 = "Dept.\ of Mathematical Sciences, IBM~T.~J.~Watson
Research Center",
address = "P.~O.~Box~218, Yorktown Heights, NY~10598, USA",
}
@TechReport{int: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 = mar,
institution = "Dept.\ of Mathematical Sciences, IBM~T.~J.~Watson
Research Center",
address = "P.~O.~Box~218, Yorktown Heights, NY~10598, USA",
}
@TechReport{int: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 = "Dept.\ of Mathematical Sciences, IBM~T.~J.~Watson
Research Center",
address = "P.~O.~Box~218, Yorktown Heights, NY~10598, USA",
}
@TechReport{int: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{int: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{int: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{int:Barnes14,
author = "E. R. Barnes",
title = "Minimum containing ellipsoids and regular polyhedra",
journal = "COAL Newsletter",
volume = "19",
year = "1991",
month = aug,
pages = "2--6",
}
@TechReport{int: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",
}
@Article{int:Bayer1,
author = "D. A. Bayer and J. C. Lagarias",
title = "Karmarkar's linear programming algorithm and
{Newton}'s method",
journal = "Mathematical Programming",
volume = "50",
year = "1991",
pages = "291--330",
}
@Article{int:Bayer2,
author = "D. A. Bayer and J. C. Lagarias",
title = "The nonlinear geometry of linear programming,
{Part~I~: A}ffine and projective scaling trajectories",
journal = "Transactions of the American Mathematical Society",
volume = "314",
number = "2",
year = "1989",
pages = "499--526",
}
@Article{int: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{int: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{int: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~: {Analysis} of {Karmarkar}'s
algorithm",
year = "1990",
pages = "394--418",
publisher = "John Wiley \& Sons",
address = "New York, NY, USA",
edition = "second",
}
@InBook{int: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)",
bibdate = "Sat Dec 30 09:51:00 1995",
}
@TechReport{int: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{int: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",
}
@TechReport{int: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 = oct,
institution = "Economics Department, North Carolina A~\&~T State
University",
address = "Greensboro, NC~27411, USA",
}
@Article{int:Bertsekas1,
author = "D. P. Bertsekas",
title = "Projected {Newton} methods for optimization problems
with simple constraints",
journal = "SIAM Journal on Control and Optimization",
volume = "20",
year = "1982",
pages = "221--246",
}
@TechReport{int:Betke1,
author = "U. Betke and P. Gritzmann",
title = "Projection algorithms for linear programming",
type = "{Technical Report}",
year = "1986",
institution = "University of Siegen",
address = "H{\"o}lderlinstr.~3, D-5900~Siegen, Germany",
bibdate = "Sat Dec 30 09:52:39 1995",
}
@TechReport{int: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 = "Dept.\ of Operations Research, University of
Michigan",
address = "Ann Arbor, MI~48103, USA",
}
@Article{int: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{int:Birge3,
author = "J. R. Birge and R. M. Freund",
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",
bibdate = "Sat May 4 17:22:15 1996",
}
@TechReport{int: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 = "Dept.\ of Operations Research, University of
Michigan",
address = "Ann Arbor, MI~48103, USA",
}
@TechReport{int: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 = nov,
institution = "Dept.\ of Operations Research, University of
Michigan",
address = "Ann Arbor, MI~48103, USA",
}
@TechReport{int: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",
type = "{Technical Report}",
number = "J--91--07",
year = "1991",
month = may,
institution = "School of Industrial and Systems Engineering, Georgia
Institute of Technology",
address = "Atlanta, GA~30332, USA",
note = "Technical Report SOR~91--08, School of Engineering
and Applied Science, Dept.\ of Civil Engineering and
Operations Research, Princeton University, Princeton,
NJ~08544, USA, May 1991. Technical Report RRR~34--91,
RUTCOR Center of Operations Research, Rutgers
University, New Brunswick, NJ~08903, USA, 1991",
}
@Article{int: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{int: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",
}
@InCollection{int: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{int: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{int: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{int: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{int: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{int: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 = jul,
institution = "United States Department of Commerce, National
Institute of Standards and Technology, Center for
Applied Mathematics",
address = "Gaithersburg, MD~20899, USA",
}
@Article{int: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{int: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 = "COAL Newsletter",
volume = "19",
year = "1991",
month = aug,
pages = "32--40",
}
@TechReport{int: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 = "Dept.\ of Mathematical Sciences, Rensselaer
Polytechnic Institute",
address = "Troy, NY~12180-3590, USA",
}
@TechReport{int:Bosch1,
author = "R. Bosch and K. M. Anstreicher",
title = "A partial updating algorithm for linear programs with
many variables and few constraints",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in
Anaheim, CA, USA}",
year = "1991",
month = nov,
institution = "Dept.\ of Mathematics, Oberlin College",
address = "Oberlin, OH~44074, USA",
}
@Book{int: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, UK",
}
@Article{int: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",
pages = "84--87",
note = "Translated in~: {\em Cybernetics (USA)},
26(1):106--110, 1990",
}
@Article{int:Brophy1,
author = "J. F. Brophy and P. W. Smith",
title = "Prototyping {Karmarkar}'s algorithm using
{MATH/PROTRAN}",
journal = "International Mathematical and Statistical Libraries
(IMSL) Directions",
volume = "5",
year = "1988",
pages = "2--3",
}
@InCollection{int:Brown1,
author = "G. W. Brown and T. C. Koopmans",
title = "Computational suggestions for maximizing a linear
function subject to linear inequalities",
booktitle = "Activity Analysis of Production and Allocation",
publisher = "John Wiley \& Sons",
address = "New York, NY, USA",
editor = "T. C. Koopmans",
year = "1951",
pages = "377--380",
}
@TechReport{int:Brown2,
author = "G. G. Brown and R. D. McBride and K. R. Wood",
title = "Computational methods in the projective linear
programming algorithm",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in
Atlanta, GA, USA}",
year = "1985",
month = nov,
institution = "Dept.\ of Operations Research, Naval Postgraduate
School",
address = "Monterey, CA~93943, USA",
}
@Article{int:Carolan1,
author = "W. Carolan and J. Hill and J. Kennington and S. Niemi
and S. Wichmann",
title = "An empirical evaluation of the {KORBX} algorithms for
military airlift applications",
journal = "Operations Research",
volume = "38",
year = "1990",
pages = "240--248",
}
@Article{int:Caroll1,
author = "C. W. Caroll",
title = "The created response surface technique for optimizing
nonlinear restrained systems",
journal = "Operations Research",
volume = "9",
number = "2",
year = "1961",
pages = "169--184",
}
@TechReport{int:Carpenter1,
author = "T. J. Carpenter and I. J. Lustig and J. M. Mulvey and
D. F. Shanno",
title = "A primal--dual interior point method for convex
separable nonlinear programs",
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, Dept.\ of Civil Engineering and
Operations Research, Princeton University, Princeton,
NJ~08544, USA, 1990",
}
@TechReport{int:Carpenter2,
author = "T. J. Carpenter and I. J. Lustig and J. M. Mulvey and
D. F. Shanno",
title = "Higher order predictor--corrector interior point
methods with application to quadratic objectives",
type = "{RUTCOR Research Report}",
number = "RRR~67--90",
year = "1990",
institution = "RUTCOR -- Rutgers Center for Operations Research,
Hill Center for Mathematical Sciences",
address = "New Brunswick, NJ~08903, USA",
note = "Technical Report SOR~90--09, School of Engineering
and Applied Science, Dept.\ of Civil Engineering and
Operations Research, Princeton University, Princeton,
NJ~08544, USA, November 1990",
}
@TechReport{int:Cavalier1,
author = "T. M. Cavalier and T. C. Schall",
title = "Implementing a projective algorithm for solving
inequality constrained linear programs",
type = "{IMSE Working Paper}",
number = "86--128",
year = "1986",
institution = "Dept.\ of Industrial and Management Systems
Engineering, Pennsylvania State University",
address = "University Park, PA~16802, USA",
}
@Article{int:Cavalier2,
author = "T. M. Cavalier and T. C. Schall",
title = "Implementing an affine scaling algorithm for linear
programming",
journal = "Computers and Operations Research",
volume = "14",
year = "1987",
pages = "341--347",
}
@TechReport{int:Cavalier3,
author = "T. M. Cavalier and A. L. Soyster",
title = "Some computational experience and a modification of
the {Karmarkar} algorithm",
type = "{Working Paper}",
number = "85--105",
year = "1985",
institution = "Dept.\ of Industrial and Management Systems
Engineering, Pennsylvania State University",
address = "University Park, PA~16802, USA",
}
@Article{int:Censor1,
author = "Y. Censor and A. Lunt",
title = "Optimization on `$log~x$' entropy over linear
inequality constraints",
journal = "SIAM Journal on Control and Optimization",
volume = "25",
year = "1987",
pages = "921--933",
}
@TechReport{int:Chandru1,
author = "V. Chandru and B. Kochar",
title = "A class of algorithms for linear programming",
type = "{Research Memorandum}",
number = "85--14",
year = "1985",
institution = "Dept.\ of Industrial Engineering, Purdue University",
address = "West Lafayette, IN~47907, USA",
note = "Revised 1986",
}
@TechReport{int:Chandru2,
author = "V. Chandru and B. Kochar",
title = "Exploiting special structures using a variant of
{Karmarkar}'s algorithm",
type = "{Research Memorandum}",
number = "86--10",
year = "1986",
institution = "Dept.\ of Industrial Engineering, Purdue University",
address = "West Lafayette, IN~47907, USA",
}
@TechReport{int:Chandru3,
author = "V. Chandru",
title = "Notes on {Karmarkar}'s new algorithm for linear
programming",
type = "{Unpublished Memorandum}",
year = "1984",
institution = "Dept.\ of Industrial Engineering, Purdue University",
address = "West Lafayette, IN~47907, USA",
}
@Article{int:Chang1,
author = "S. Y. Chang and K. G. Murty",
title = "The steepest descent gravitational method for linear
programming",
journal = "Discrete Applied Mathematics",
volume = "25",
year = "1989",
pages = "211--239",
}
@TechReport{int:Charnes1,
author = "A. Charnes and T. Song and M. Wolfe",
title = "An explicit solution sequence and convergence of
{Karmarkar}'s algorithm",
type = "{Research Report}",
number = "CCS~501",
year = "1984",
institution = "Center for Cybernetic Studies, University of Texas",
address = "Austin, TX~78712-1177, USA",
}
@TechReport{int:Chen1,
author = "S. Chen",
title = "Computational experience with the {Karmarkar}
algorithm",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in
Los Angeles, CA, USA}",
year = "1986",
month = apr,
institution = "AT~\&~T Bell Laboratories",
address = "Holmdel, NJ~07733, USA",
}
@TechReport{int:Chen2,
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",
}
@TechReport{int:Cheng1,
author = "Y. C. Cheng and K. T. Medhi",
title = "The {AT~\&~T KORBX Linear Programming System}~:
{Preconditioned} conjugate gradient implementation",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in
New York, NY, USA}",
year = "1989",
month = oct,
institution = "AT~\&~T Bell Laboratories",
address = "Holmdel, NJ~07733, USA",
}
@TechReport{int:Cheng2,
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 = oct,
institution = "AT~\&~T Bell Laboratories",
address = "Holmdel, NJ~07733, USA",
}
@TechReport{int: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}~:
{System} architecture and performance",
type = "{Talk held at the 13th International Symposium on
Mathematical Programming in Tokyo, Japan}",
year = "1988",
month = aug,
institution = "AT~\&~T Bell Laboratories",
address = "Holmdel, NJ~07733, USA",
}
@Article{int:Cheng4,
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",
}
@TechReport{int:Chifflet1,
author = "M. J. Chifflet and A. Lisser and D. Tachat and P.
Tolla",
title = "Computing block--angular {Karmarkar} projections with
applications to multicommodity flow problems",
type = "{Talk held at the 12th Triennial Conference on
Operations Research in Athens, Greece}",
year = "1990",
month = jun,
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{int:Chiment1,
author = "J. J. Chiment",
title = "Complexity issues for numerical optimization",
journal = "SIAM News",
volume = "24",
number = "3",
year = "1991",
month = may,
pages = "24--25",
}
@TechReport{int:Chiu1,
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",
}
@TechReport{int:Chiu2,
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
University",
address = "Stanford, CA~94305, USA",
}
@TechReport{int:Choi1,
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 = oct,
institution = "Dept.\ of Industrial Engineering and Operations
Research, Columbia University",
address = "New York, NY~10027, USA",
}
@TechReport{int: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 = "Dept.\ of Industrial Engineering and Operations
Research, Columbia University",
address = "New York, NY~10027, USA",
}
@TechReport{int: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",
}
@Article{int:Choi4,
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",
}
@InCollection{int: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 held at Cornell University, Ithaca, NY, USA,
October 1989",
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",
}
@Article{int:Christiansen1,
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",
journal = "Annals of Operations Research",
volume = "22",
year = "1990",
pages = "355--376",
}
@Article{int:Christiansen2,
author = "E. Christiansen and K. O. Kortanek",
title = "Computation of the collapse state in limit analysis
using the {LP} primal affine scaling algorithm",
journal = "Journal of Computational and Applied Mathematics",
volume = "34",
year = "1991",
pages = "47--63",
}
@Article{int: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{int: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{int:Clausen1,
author = "J. Clausen and F. A. {Al--Khayyal}",
title = "Interior Point Methods",
year = "1991",
month = aug,
series = "COAL Newsletter",
volume = "19",
publisher = "Mathematical Programming Society",
}
@TechReport{int: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 = oct,
institution = "School of Operations Research and Industrial
Engineering, Cornell University",
address = "Ithaca, NY~14853, USA",
}
@Book{int: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",
}
@TechReport{int:Colmenares1,
author = "O. Colmenares",
title = "Karmarkar's linear programming algorithm~: {Better}
or worse than the classical method~?",
type = "{Technical Report}",
year = "1985",
month = jan,
institution = "Graduate School of Management, University of
California at Los Angeles",
address = "Los Angeles, CA, USA",
}
@Article{int:Conway1,
author = "R. Conway and M. Magazine",
title = "A case against software patents",
journal = "OR/MS Today",
volume = "18",
number = "1",
year = "1991",
month = feb,
pages = "14--15",
}
@InBook{int:Cook1,
author = "T. M. Cook and R. A. Russell",
title = "Introduction to Management Science",
chapter = "4~: {An} alternative to the simplex method ---
{Karmarkar}'s algorithm",
pages = "137--139",
publisher = "Prentice Hall",
address = "Englewood Cliffs, NJ~07632, USA",
edition = "fourth",
year = "1989",
}
@Article{int: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{int: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 = feb,
institution = "Systems Optimization Laboratory, Dept.\ of Operations
Research, Stanford University",
address = "Stanford, CA~94305, USA",
}
@Article{int: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 = jun,
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{int: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 = jul,
institution = "Dept.\ of Management Science, University of Iowa",
address = "Iowa City, IA~52242, USA",
}
@TechReport{int:Dantzig4,
author = "G. B. Dantzig",
title = "Dikin's interior method for {LP}",
type = "{Manuscript}",
year = "1988",
institution = "Systems Optimization Laboratory, Dept.\ of Operations
Research, Stanford University",
address = "Stanford, CA~94305, USA",
}
@Article{int: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 = nov,
pages = "3, 18",
}
@Article{int:David1,
author = "{David~II Report}",
title = "Renewing {U.S.} mathematics --- {A} plan for the
1990s, {Section}~24~: {Interior} point methods for
linear programming",
journal = "Notices of the American Mathematical Society",
volume = "37",
number = "8",
year = "1990",
month = oct,
pages = "984--1004, esp.\ 1001--1002",
bibdate = "Mon Sep 30 17:34:54 1996",
}
@Article{int:Dennis1,
author = "J. 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",
}
@InProceedings{int: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)",
bibdate = "Sat Dec 30 09:52:42 1995",
}
@Article{int: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{int: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",
}
@Article{int:Didderich1,
author = "G. T. Didderich",
title = "Some remarks on {Karmarkar}'s potential function",
journal = "Aequationes Mathematicae",
volume = "36",
year = "1988",
pages = "57--75",
}
@Article{int: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{int: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{int:Dikin3,
author = "I. I. Dikin",
title = "Letter to the editor",
journal = "Mathematical Programming",
volume = "41",
year = "1988",
pages = "393--394",
}
@Article{int: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{int: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{int:Dinn1,
author = "J. Dinn",
title = "A new polynomial--time algorithm for linear
programming",
type = "{Technical Report}",
year = "1988",
institution = "Dept.\ of Mathematics, Michigan State University",
address = "East Lansing, MI~48824, USA",
}
@Article{int: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{int: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{int: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{int: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{int: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",
bibdate = "Sat Dec 30 09:52:45 1995",
}
@TechReport{int: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 = dec,
institution = "United States Department of Commerce, National
Institute of Standards and Technology",
address = "Gaithersburg, MD~20899, USA",
}
@Article{int: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{int: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{int: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 = nov,
institution = "United States Department of Commerce, National
Institute of Standards and Technology, Applied and
Computational Mathematics Division",
address = "Boulder, CO~80303, USA",
}
@TechReport{int: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, UK}",
year = "1991",
month = jan,
institution = "Shell Research Center (KSLA)",
address = "Amsterdam, The Netherlands",
}
@TechReport{int:Dowling1,
author = "M. L. Dowling",
title = "Comparing the affine and projective vector fields
associated with linear programming",
type = "{Technical Report}",
year = "1989",
institution = "Dept.\ of Management, University of Georgia",
address = "Athens, GA~30602, USA",
note = "Submitted to {\em Mathematical Programming}",
}
@Article{int: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{int: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",
}
@Article{int:Economist1,
key = "Economist",
title = "Not so simplex",
journal = "The Economist",
year = "1984",
month = "December 1",
}
@TechReport{int: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 = nov,
institution = "Dept.\ of Commerce and Business Administration,
University of British Columbia",
address = "Vancouver, BC~V6T~1Y8, Canada",
}
@TechReport{int: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",
type = "{Technical Report}",
number = "TR--91--15",
year = "1991",
institution = "Dept.\ of Mathematical Sciences, Rice University",
address = "Houston, TX~77251, USA",
}
@Article{int:Emmett1,
author = "A. Emmett",
title = "Karmarkar's algorithm~: {A} threat to simplex~?",
journal = "IEEE Spectrum",
year = "1985",
month = dec,
pages = "54--55",
}
@Article{int: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{int: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 = "Dept.\ of Mathematics, Link{\"o}ping University",
address = "S-58183~Link{\"o}ping, Sweden",
}
@TechReport{int: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 = "Dept.\ of Mathematics, Link{\"o}ping University",
address = "S-58183~Link{\"o}ping, Sweden",
}
@TechReport{int: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 = "Dept.\ of Mathematics, Link{\"o}ping University",
address = "S-58183~Link{\"o}ping, Sweden",
}
@TechReport{int: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{int: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 = "{Talk held at the ORSA/TIMS Joint National Meeting in
Anaheim, CA, USA}",
year = "1991",
month = nov,
institution = "Operations Research Program, North Carolina State
University",
address = "Raleigh, NC~27695, USA",
}
@TechReport{int:Fang3,
author = "S. C. Fang",
title = "A new unconstrained convex programming approach to
linear programming",
type = "{OR Research Report}",
number = "243",
year = "1990",
institution = "Operations Research Program, North Carolina State
University",
address = "Raleigh, NC~27695, USA",
note = "To appear in {\em Zeitschrift f{\"u}r Operations
Research---Methods and Models of Operations Research}
36(2), 1992",
}
@Article{int: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 = dec,
pages = "242--243",
}
@TechReport{int: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{int:Ferris1,
author = "M. C. Ferris and A. B. Philpott",
title = "On the performance of {Karmarkar}'s algorithm",
journal = "Journal of the Operational Research Society",
volume = "39",
year = "1988",
pages = "257--270",
}
@Article{int:Ferris2,
author = "M. C. Ferris and A. B. Philpott",
title = "An interior point algorithm for semi--infinite linear
programming",
journal = "Mathematical Programming",
volume = "43",
year = "1989",
pages = "257--276",
}
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author = "A. V. Fiacco",
title = "Barrier methods in nonlinear programming",
booktitle = "Operations Research Support Methodology",
year = "1979",
pages = "377--440",
editor = "A. Holzman",
publisher = "Marcel Dekker",
address = "New York, NY, USA",
}
@Article{int:Fiacco2,
author = "A. V. Fiacco",
title = "Perturbed variations of penalty function methods ---
example~: {Projective SUMT}",
journal = "Annals of Operations Research",
volume = "27",
year = "1990",
pages = "371--380",
}
@Book{int:Fiacco3,
author = "A. V. Fiacco and G. P. McCormick",
title = "Nonlinear Programming~: Sequential Unconstrained
Minimization Techniques",
publisher = "John Wiley \& Sons",
year = "1968",
address = "New York, NY, USA",
note = "Reprint : Volume 4 of {\em SIAM Classics in Applied
Mathematics}, SIAM Publications, Philadelphia,
PA~19104--2688, USA, 1990",
}
@InCollection{int:Fletcher1,
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, UK",
editor = "A. Iserles and M. J. D. Powell",
year = "1987",
pages = "213--243, esp.~219--224",
}
@InBook{int: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, NY, USA",
edition = "second",
year = "1987",
}
@Article{int:Forrest1,
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",
}
@TechReport{int: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, Dept.\ of Operations
Research, Stanford University",
address = "Stanford, CA~94305, USA",
}
@TechReport{int: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 = "Dept.\ of Industrial Engineering and Management
Sciences, Northwestern University",
address = "Evanston, IL~60208, USA",
}
@Article{int: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 = "COAL Newsletter",
volume = "19",
year = "1991",
month = aug,
pages = "26--31",
}
@Article{int: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{int:Fraley2,
author = "C. Fraley and J. P. 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{int:Fraley3,
author = "C. Fraley and J. P. 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",
bibdate = "Sat Dec 30 09:52:48 1995",
}
@Article{int: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{int: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",
}
@Article{int: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{int: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{int: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 = apr,
institution = "Sloan School of Management, Massachusetts Institute
of Technology",
address = "Cambridge, MA~02139, USA",
}
@TechReport{int: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 = oct,
institution = "Sloan School of Management, Massachusetts Institute
of Technology",
address = "Cambridge, MA~02139, USA",
}
@TechReport{int:Freund5,
author = "R. M. Freund",
title = "Projective transformations for interior point
methods, {Part~I~: B}asic theory and linear
programming",
type = "{Working Paper}",
number = "2049--88",
year = "1988",
month = oct,
institution = "Sloan School of Management, Massachusetts Institute
of Technology",
address = "Cambridge, MA~02139, USA",
}
@TechReport{int:Freund6,
author = "R. M. Freund",
title = "Projective transformations for interior point
methods, {Part~II~: A}nalysis of an algorithm for
finding the weighted center of a polyhedral system",
type = "{Working Paper}",
number = "2050--88",
year = "1988",
month = oct,
institution = "Sloan School of Management, Massachusetts Institute
of Technology",
address = "Cambridge, MA~02139, USA",
}
@Article{int: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",
}
@TechReport{int:Freund8,
author = "R. M. Freund",
title = "A potential--function reduction algorithm for solving
a linear program directly from an infeasible `warm
start'",
type = "{Working Paper}",
number = "3079--89--MS",
year = "1989",
institution = "Sloan School of Management, Massachusetts Institute
of Technology",
address = "Cambridge, MA~02139, USA",
note = "To appear in {\em Mathematical Programming, Series~B,
1991}",
}
@TechReport{int: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 = jan,
institution = "Sloan School of Management, Massachusetts Institute
of Technology",
address = "Cambridge, MA~02139, USA",
}
@TechReport{int: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{int: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 = jul,
institution = "Sloan School of Management, Massachusetts Institute
of Technology",
address = "Cambridge, MA~02139, USA",
}
@TechReport{int: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 = oct,
institution = "Sloan School of Management, Massachusetts Institute
of Technology",
address = "Cambridge, MA~02139, USA",
}
@TechReport{int: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",
type = "{Working Paper}",
number = "2100--89",
year = "1989",
institution = "Sloan School of Management, Massachusetts Institute
of Technology",
address = "Cambridge, MA~02139, USA",
note = "Revised April 1990",
}
@TechReport{int: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 = oct,
institution = "Sloan School of Management, Massachusetts Institute
of Technology",
address = "Cambridge, MA~02139, USA",
}
@TechReport{int: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 = jul,
institution = "Sloan School of Management, Massachusetts Institute
of Technology",
address = "Cambridge, MA~02139, USA",
}
@TechReport{int: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{int: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{int: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 = nov,
institution = "Sloan School of Management, Massachusetts Institute
of Technology",
address = "Cambridge, MA~02139, USA",
}
@Article{int: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{int: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{int:Frisch2,
author = "K. R. Frisch",
title = "The multiplex method for linear programming",
journal = "Sankhya",
volume = "18",
year = "1957",
pages = "329--362",
}
@TechReport{int: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 = oct,
institution = "Institute of Economics, University of Oslo",
address = "Oslo, Norway",
}
@TechReport{int: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",
}
@Article{int: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{int: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--382",
}
@Article{int: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 = dec,
}
@InBook{int:Garfunkel1,
author = "S. A. Garfunkel and L. A. Steen and J. Malkevitch",
title = "For All Practical Purposes~: Introduction to
Contemporary Mathematics",
chapter = "4~: {Linear} programming~: {An} alternative to the
simplex method",
pages = "80--83, 362",
publisher = "W. H. Freeman and Company",
address = "New York, NY, USA",
year = "1988",
}
@TechReport{int: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 = nov,
institution = "AT~\&~T~Bell Laboratories",
address = "Murray Hill, NJ~07974, USA",
}
@TechReport{int:Gay2,
author = "D. M. Gay",
title = "Pictures of {Karmarkar}'s linear programming
algorithm",
type = "{Computer Science Technical Report}",
number = "136",
year = "1987",
institution = "AT~\&~T~Bell Laboratories",
address = "Murray Hill, NJ~07974, USA",
}
@Article{int: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{int:Gay4,
author = "D. M. Gay",
title = "Massive memory buys little speed for complete,
in--core sparse {Cholesky} factorizations on some
scalar computers",
journal = "Linear Algebra and Its Applications",
volume = "152",
year = "1991",
pages = "291--314",
}
@InCollection{int: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",
year = "1991",
pages = "17--42",
publisher = "SIAM Publications",
address = "Philadelphia, PA, USA",
}
@Article{int: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{int:Gay7,
author = "D. M. Gay and M. Kojima and R. A. Tapia",
title = "Interior Point Methods for Linear Programming",
year = "1991",
month = jul,
series = "Linear Algebra and Its Applications",
volume = "152",
publisher = "North Holland",
address = "Amsterdam, The Netherlands",
}
@InBook{int:Gelbaum1,
author = "B. R. Gelbaum",
title = "Linear Algebra~: Basics, Practice and Theory",
chapter = "5.7~: {The K}armarkar algorithm",
pages = "504--527",
publisher = "North Holland",
address = "New York, NY, USA",
year = "1989",
}
@TechReport{int: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, UK}",
year = "1991",
month = jan,
institution = "Northern Virginia Graduate Centre",
address = "USA",
}
@Article{int:Ghellinck1,
author = "{G. de} Ghellinck and J. P. Vial",
title = "A polynomial {Newton} method for linear programming",
journal = "Algorithmica",
volume = "1",
number = "4",
year = "1986",
pages = "425--453",
}
@Article{int:Ghellinck2,
author = "{G. de} Ghellinck and J. P. 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{int:Ghellinck3,
author = "{G. de} Ghellinck and J. P. 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 = jul,
institution = "Center of Operations Research and Econometrics,
Universite Catholique de Louvain",
address = "B-1348~Louvain-la-Neuve, Belgium",
}
@TechReport{int: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 = aug,
institution = "Systems Optimization Laboratory, Dept.\ of Operations
Research, Stanford University",
address = "Stanford, CA~94305, USA",
}
@TechReport{int: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 = jul,
institution = "Systems Optimization Laboratory, Dept.\ of Operations
Research, Stanford University",
address = "Stanford, CA~94305, USA",
}
@TechReport{int: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 = apr,
institution = "Systems Optimization Laboratory, Dept.\ of Operations
Research, Stanford University",
address = "Stanford, CA~94305, USA",
}
@TechReport{int: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 = apr,
institution = "Systems Optimization Laboratory, Dept.\ of Operations
Research, Stanford University",
address = "Stanford, CA~94305, USA",
}
@TechReport{int: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 = aug,
institution = "Systems Optimization Laboratory, Dept.\ of Operations
Research, Stanford University",
address = "Stanford, CA~94305, USA",
}
@TechReport{int: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~: {Some} implementation aspects",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in
Washington, DC, USA}",
year = "1988",
month = apr,
institution = "Systems Optimization Laboratory, Dept.\ of Operations
Research, Stanford University",
address = "Stanford, CA~94305, USA",
}
@Article{int: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",
}
@TechReport{int:Gill8,
author = "P. E. Gill and W. Murray and D. B. Ponceleon and M.
A. Saunders",
title = "Primal--dual methods for linear programming",
type = "{Technical Report}",
number = "SOL~91-3",
year = "1991",
month = may,
institution = "Systems Optimization Laboratory, Dept.\ of Operations
Research, Stanford University",
address = "Stanford, CA~94305, USA",
}
@TechReport{int:Gill9,
author = "P. E. Gill and W. Murray and D. B. Ponceleon 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 = jul,
institution = "Systems Optimization Laboratory, Dept.\ of Operations
Research, Stanford University",
address = "Stanford, CA~94305, USA",
}
@Book{int:Gill10,
author = "P. E. Gill and W. Murray and M. H. Wright",
title = "Numerical Linear Algebra and Optimization, {Vol}.\ 2",
publisher = "Addison Wesley Publishing Company",
year = "1991/92",
address = "Amsterdam, The Netherlands",
note = "Chapter on interior point methods",
}
@TechReport{int:Gill11,
author = "P. E. Gill and W. Murray and D. B. Ponceleon and M.
A. Saunders",
title = "Preconditioners for indefinite systems arising in
optimization",
type = "{Technical Report}",
number = "SOL~90-8",
year = "1990",
month = jun,
institution = "Systems Optimization Laboratory, Dept.\ of Operations
Research, Stanford University",
address = "Stanford, CA~94305, USA",
}
@Article{int: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 = mar,
}
@Article{int:Gleick1,
author = "J. Gleick",
title = "Breakthrough in problem solving",
journal = "The New York Times",
year = "1984",
month = "November 19, ",
}
@TechReport{int: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 = oct,
institution = "Fachbereich Mathematik, Gesamthochschule Wuppertal",
address = "D-5600~Wuppertal~1, Germany",
note = "(In German)",
bibdate = "Sat Dec 30 09:53:03 1995",
}
@TechReport{int: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 = dec,
institution = "Fachbereich Mathematik, Gesamthochschule Wuppertal",
address = "D-5600~Wuppertal~1, Germany",
note = "(In German)",
bibdate = "Sat Dec 30 09:53:16 1995",
}
@PhdThesis{int: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-5600~Wuppertal~1, Germany",
note = "(In German)",
bibdate = "Sat Dec 30 09:53:18 1995",
}
@InCollection{int: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, West 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",
bibdate = "Sat Dec 30 09:53:28 1995",
}
@TechReport{int: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 = oct,
institution = "Faculty of Management, McGill University",
address = "Montreal, Ontario, Canada",
}
@Article{int:Goffin3,
author = "J. L. Goffin and J. P. 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",
}
@TechReport{int:Goffin4,
author = "J. L. Goffin and A. Haurie and J. P. Vial",
title = "Decomposition and nondifferentiable optimization with
the projective algorithm",
type = "Preprint",
number = "G--89--25",
year = "1989",
institution = "Faculty of Management, McGill University",
address = "Montreal, Ontario, Canada",
}
@TechReport{int:Goffin5,
author = "J. L. Goffin and J. P. Vial",
title = "Short steps with {Karmarkar}'s projective algorithm
for linear programming",
type = "Manuscript",
year = "1990",
institution = "Department d'Economic Commerciale et Industrielle,
Universite de Geneve",
address = "Geneve, Switzerland",
}
@TechReport{int:Goffin6,
author = "J. L. Goffin and J. P. Vial",
title = "On the computation of weighted analytic centers and
dual ellipsoids with the projective algorithm",
type = "{Working Paper}",
year = "1989",
institution = "Faculty of Management, McGill University",
address = "Montreal, Ontario, Canada",
}
@TechReport{int:Goffin7,
author = "J. L. Goffin and A. Haurie and J. P. Vial and D. L.
Zhu",
title = "Using central prices in the decomposition of linear
programs",
type = "{Research Working Paper Series}",
year = "1991",
institution = "Faculty of Management, McGill University",
address = "Montreal, Ontario, Canada",
}
@TechReport{int: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",
}
@InCollection{int: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",
}
@TechReport{int: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 = oct,
institution = "Dept.\ of Industrial Engineering and Operations
Research, Columbia University",
address = "New York, NY~10027, USA",
}
@TechReport{int: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 = jan,
institution = "Dept.\ of Industrial Engineering and Operations
Research, Columbia University",
address = "New York, NY~10027, USA",
}
@Article{int: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{int: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{int: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{int: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 = "Dept.\ of Industrial Engineering and Operations
Research, Columbia University",
address = "New York, NY~10027, USA",
}
@Article{int: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{int:Goldfarb8,
author = "D. Goldfarb and M. J. Todd",
title = "Karmarkar's projective scaling algorithm",
booktitle = "Optimization",
publisher = "North Holland",
address = "Amsterdam, The Netherlands",
editor = "G. L. Nemhauser and A. H. G. {Rinnoy Kan} and M. J.
Todd",
series = "Handbooks in Operations Research and Management
Science",
volume = "1",
year = "1989",
pages = "141--170",
}
@Article{int: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{int: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 = "Dept.\ of Industrial Engineering and Operations
Research, Columbia University",
address = "New York, NY~10027, USA",
}
@Article{int: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{int:Golshtejn1,
author = "E. G. Gol'shtejn and A. S. Nemirovsky and Y. 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)",
}
@TechReport{int:Gondzio1,
author = "J. Gondzio",
title = "Splitting dense columns of constraint matrix in
interior point methods for large scale linear
programming",
type = "Cahier",
number = "105",
year = "1991",
month = jul,
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 = "Former title~: {\em On handling dense columns of
constraint matrix in interior point methods of large
scale linear programming}, April 1991. To appear in
{\em Optimization}",
}
@TechReport{int: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 = dec,
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{int: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",
type = "Cahier",
number = "108",
year = "1992",
month = jan,
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{int: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 = oct,
institution = "Dept.\ of Electrical Engineering and Computer
Science, University of California",
address = "Berkeley, CA~94720, USA",
}
@Article{int:Gonzaga2,
author = "C. C. Gonzaga",
title = "Search directions for interior linear programming
methods",
journal = "Algorithmica",
volume = "6",
year = "1991",
pages = "153--181",
}
@Article{int: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{int:Gonzaga4,
author = "C. C. Gonzaga",
title = "Polynomial affine algorithms for linear programming",
journal = "Mathematical Programming",
volume = "49",
year = "1990",
pages = "7--21",
}
@Article{int:Gonzaga5,
author = "C. C. Gonzaga",
title = "Conical projection algorithms for linear programming",
journal = "Mathematical Programming",
volume = "43",
year = "1989",
pages = "151--173",
}
@InCollection{int: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, NY, USA",
editor = "N. Megiddo",
year = "1989",
pages = "1--28",
}
@Article{int: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{int: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{int: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 = jan,
institution = "Dept.\ of Systems Engineering and Computer Science,
COPPE Federal University of Rio de Janeiro",
address = "21941~Rio~de~Janeiro, RJ, Brazil",
}
@TechReport{int: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 = jan,
institution = "Dept.\ of Systems Engineering and Computer Science,
COPPE Federal University of Rio de Janeiro",
address = "21941~Rio~de~Janeiro, RJ, Brazil",
}
@TechReport{int: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 = jul,
institution = "Dept.\ of Systems Engineering and Computer Science,
COPPE Federal University of Rio de Janeiro",
address = "21941~Rio~de~Janeiro, RJ, Brazil",
}
@TechReport{int: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",
type = "{Technical Report}",
number = "862",
year = "1989",
institution = "School of Operations Research and Industrial
Engineering, Cornell University",
address = "Ithaca, NY~14853, USA",
}
@TechReport{int:Gonzaga13,
author = "C. C. Gonzaga",
title = "A conical projection algorithm for linear
programming",
type = "Memorandum",
number = "UCB/ERL~M85/61",
year = "1985",
month = jul,
institution = "Electronics Research Laboratory, University of
California",
address = "Berkeley, CA~94720, USA",
}
@TechReport{int:Gonzaga14,
author = "C. C. Gonzaga",
title = "On lower bound updates in primal potential reduction
methods for linear programming",
type = "{Technical Report}",
number = "ES--227/90",
year = "1990",
institution = "Dept.\ of Systems Engineering and Computer Science,
COPPE Federal University of Rio de Janeiro",
address = "21941~Rio~de~Janeiro, RJ, Brazil",
note = "To appear in {\em Mathematical Programming, Series~B,
1991}",
}
@TechReport{int:Gonzaga15,
author = "C. C. Gonzaga",
title = "A simple representation of {Karmarkar}'s algorithm",
type = "{Technical Report}",
year = "1988",
month = may,
institution = "Dept.\ of Systems Engineering and Computer Science,
COPPE Federal University of Rio de Janeiro",
address = "21941~Rio~de~Janeiro, RJ, Brazil",
}
@TechReport{int: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 = jul,
institution = "Dept.\ of Systems Engineering and Computer Science,
COPPE Federal University of Rio de Janeiro",
address = "21941~Rio~de~Janeiro, RJ, Brazil",
}
@TechReport{int: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 = aug,
institution = "Dept.\ of Electrical Engineering and Computer
Science, University of California",
address = "Berkeley, CA~94720, USA",
}
@TechReport{int: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 = sep,
institution = "Dept.\ of Systems Engineering and Computer Science,
COPPE Federal University of Rio de Janeiro",
address = "21941~Rio~de~Janeiro, RJ, Brazil",
}
@TechReport{int:Gonzaga19,
author = "C. C. Gonzaga",
title = "Path following methods for linear programming",
type = "{Technical Report}",
number = "ES--246/91",
year = "1991",
month = nov,
institution = "Dept.\ of Systems Engineering and Computer Science,
COPPE Federal University of Rio de Janeiro",
address = "21941~Rio~de~Janeiro, RJ, Brazil",
note = "To appear in {\em SIAM Reviews 34, 1991}",
}
@TechReport{int: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 = apr,
institution = "Dept.\ of Systems Engineering and Computer Science,
COPPE Federal University of Rio de Janeiro",
address = "21941~Rio~de~Janeiro, RJ, Brazil",
}
@Article{int:Gonzaga21,
author = "C. C. Gonzaga",
title = "An interior trust region method for linearly
constrained optimization",
journal = "COAL Newsletter",
volume = "19",
year = "1991",
month = aug,
pages = "55--66",
}
@TechReport{int: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 = dec,
institution = "Dept.\ of Systems Engineering and Computer Science,
COPPE Federal University of Rio de Janeiro",
address = "21941~Rio~de~Janeiro, RJ, Brazil",
}
@TechReport{int: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, Dept.\ of Management Sciences,
University of Iowa",
address = "Iowa City, IA~52242, USA",
}
@Article{int: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 = apr,
pages = "52--56",
note = "(In German)",
}
@TechReport{int: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 = oct,
institution = "School of Electrical Engineering, Cornell University",
address = "Ithaca, NY~14853, USA",
}
@TechReport{int: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{int: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",
}
@TechReport{int: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 = "Dept.\ of Management Science, University of Iowa",
address = "Iowa City, IA~52242, USA",
}
@TechReport{int:Gueler2,
author = "O. G{\"u}ler",
title = "Existence of interior points and interior paths in
nonlinear monotone complementarity problems",
type = "{Working Paper}",
year = "1990",
institution = "Dept.\ of Management Science, University of Iowa",
address = "Iowa City, IA~52242, USA",
}
@TechReport{int: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 = "Dept.\ of Management Science, University of Iowa",
address = "Iowa City, IA~52242, USA",
note = "To appear in {\em Mathematical Programming}",
}
@TechReport{int:Gueler4,
author = "O. G{\"u}ler",
title = "Path following and potential reduction algorithms for
nonlinear monotone complementarity problems",
type = "{Working Paper (in preparation)}",
year = "1991",
institution = "Dept.\ of Management Science, University of Iowa",
address = "Iowa City, IA~52242, USA",
}
@TechReport{int: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 = oct,
institution = "Dept.\ of Management Science, University of Iowa",
address = "Iowa City, IA~52242, USA",
}
@TechReport{int: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",
type = "{Technical Report}",
year = "1991",
month = dec,
institution = "Faculty of Technical Mathematics and Computer
Science, TU Delft",
address = "NL-2600~GA~Delft, The Netherlands",
}
@InBook{int: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)",
bibdate = "Sat Dec 30 09:53:34 1995",
}
@Article{int: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{int: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{int: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 = oct,
institution = "Computer Science Department, The Pennsylvania State
University",
address = "University Park, PA~16802, USA",
}
@InCollection{int: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{int: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{int: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{int: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{int: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{int: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{int: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",
}
@TechReport{int: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 = feb,
institution = "Fachbereich Mathematik, Gesamthochschule Wuppertal",
address = "D-5600~Wuppertal~1, Germany",
note = "(In German)",
bibdate = "Sat Dec 30 09:53:38 1995",
}
@TechReport{int:Herskovits1,
author = "J. Herskovits and J. Asquier",
title = "A quasi--{Newton} interior point algorithm for
nonlinear constrained optimization",
type = "{Talk held at the DGOR--Jahrestagung in Vienna,
Austria}",
year = "1990",
month = aug,
institution = "Center of Technology, COPPE Federal University of Rio
de Janeiro",
address = "21941 Rio de Janeiro, Brazil",
}
@MastersThesis{int: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",
}
@TechReport{int:Hertog2,
author = "{D. den} Hertog and C. Roos",
title = "A survey of search directions in interior point
methods for linear programming",
type = "{Technical Report}",
number = "89--65",
year = "1989",
institution = "Faculty of Mathematics and Informatics, TU Delft",
address = "NL-2628~BL~Delft, The Netherlands",
note = "To appear in {\em Mathematical Programming, Series~B,
1991}",
}
@TechReport{int: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",
}
@TechReport{int: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",
type = "{Technical Report}",
number = "90--28",
year = "1990",
institution = "Faculty of Mathematics and Informatics, TU Delft",
address = "NL-2628~BL~Delft, The Netherlands",
}
@TechReport{int:Hertog5,
author = "{D. den} Hertog and C. Roos and J. P. Vial",
title = "An ${O(n^{0.5}L)}$ complexity reduction for long step
path following methods",
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 = "To appear in {\em SIAM Journal on Optimization}",
}
@Article{int:Hertog6,
author = "{D. den} Hertog and C. Roos and T. Terlaky",
title = "A potential reduction variant of {Renegar}'s
short--step path--following method for linear
programming",
journal = "Linear Algebra and Its Applications",
volume = "152",
year = "1991",
pages = "43--68",
}
@TechReport{int:Hertog7,
author = "{D. den} Hertog and C. Roos and T. Terlaky",
title = "Inverse barrier methods for linear programming",
type = "{Technical Report}",
number = "91--27",
year = "1991",
institution = "Faculty of Mathematics and Informatics, TU Delft",
address = "NL-2628~BL~Delft, The Netherlands",
}
@Article{int: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",
}
@TechReport{int:Hertog9,
author = "{D. den} Hertog and C. Roos and T. Terlaky",
title = "A build--up variant of the path--following method for
{LP}",
type = "{Technical Report}",
number = "91--47",
year = "1991",
month = jun,
institution = "Faculty of Mathematics and Informatics, TU Delft",
address = "NL-2628~BL~Delft, The Netherlands",
}
@TechReport{int:Hertog10,
author = "{D. den} Hertog and C. Roos and J. P. Vial",
title = "A complexity reduction for the long--step
path--following for linear programming",
type = "{Technical Report}",
number = "90--28",
year = "1990",
institution = "Faculty of Mathematics and Informatics, TU Delft",
address = "NL-2628~BL~Delft, The Netherlands",
}
@TechReport{int:Hertog11,
author = "{D. den} Hertog and C. Roos and J. P. Vial",
title = "Polynomial--time long--steps algorithms for linear
programming based on the use of the logarithmic
barrier function",
type = "{Manuscript}",
year = "1990",
institution = "Faculty of Mathematics and Informatics, TU Delft",
address = "NL-2628~BL~Delft, The Netherlands",
}
@Article{int: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{int:Hettich1,
author = "R. Hettich and G. Margraff",
title = "Some experiments with {Karmarkar}'s algorithm",
journal = "Optimization",
volume = "19",
year = "1988",
pages = "653--664",
}
@Article{int:Hettich2,
author = "R. Hettich and M. Ries",
title = "A modified scaling algorithm for {LP}",
journal = "Optimization",
volume = "21",
year = "1990",
pages = "709--721",
}
@InBook{int:Hillier1,
author = "F. S. Hillier and G. J. Lieberman",
title = "Introduction to Operations Research",
chapter = "4.9~: {New} developments, pages 100--104,
chapter~9.4~: {An} interior--point algorithm",
year = "1990",
pages = "312--323",
publisher = "McGraw--Hill",
address = "",
edition = "fifth",
}
@TechReport{int: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{int: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",
}
@Article{int: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",
}
@TechReport{int: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 = oct,
institution = "AT~\&~T Bell Laboratories",
address = "Holmdel, NJ~07733, USA",
}
@TechReport{int: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 = oct,
institution = "AT~\&~T~Bell Laboratories",
address = "Holmdel, NJ~07733, USA",
}
@Article{int: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",
}
@Misc{int:Hu1,
author = "T. C. Hu",
title = "Linear programming algorithms and computational
results",
year = "1987",
address = "Dept.\ 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{int: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{int: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{int: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 = oct,
institution = "College of Business Administration, University of
Iowa",
address = "Iowa City, IA~52240, USA",
}
@InCollection{int: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{int: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",
}
@TechReport{int: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 = jun,
institution = "AT~\&~T~Bell Laboratories",
}
@Article{int: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--180",
}
@Article{int: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{int: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{int: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 = apr,
pages = "669--671",
}
@TechReport{int: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 = "Dept.\ of Mathematical Engineering and
Instrumentation Physics, University of Tokyo",
address = "Tokyo, Japan",
}
@TechReport{int:Iri2,
author = "M. Iri",
title = "Integrability of vector and polyvector fields
associated with interior point methods",
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 = jan,
institution = "Dept.\ of Mathematical Engineering and
Instrumentation Physics, University of Tokyo",
address = "Tokyo, Japan",
note = "To appear in {\em Mathematical Programming, Series~B,
1991}",
}
@Article{int: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{int: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{int: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, NY, USA",
}
@TechReport{int:Iri6,
author = "M. Iri",
title = "A proof of the polynomiality of the {Iri--Imai}
method for linear programming",
type = "{Technical Report}",
year = "1991",
institution = "Dept.\ of Mathematical Engineering and
Instrumentation Physics, University of Tokyo",
address = "Tokyo, Japan",
}
@TechReport{int: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 = oct,
institution = "North Carolina State University",
address = "Raleigh, NC~27695-7913, USA",
}
@Article{int: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{int:Jan3,
author = "G. M. Jan",
title = "A new variant of the primal affine scaling algorithm
for linear programs",
year = "1990",
month = jul,
school = "Dept.\ of Operations Research, North Carolina State
University",
address = "Raleigh, NC~27695-7913, USA",
}
@Article{int: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)",
}
@Article{int: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{int:Jarre2,
author = "F. Jarre",
title = "The method of analytic centers for smooth convex
programs",
type = "Preprint",
number = "165",
year = "1989",
institution = "Institut f{\"u}r Angewandte Mathematik und Statistik,
Universit{\"a}t W{\"u}rzburg",
address = "Am Hubland, D-8700~W{\"u}rzburg, Germany",
bibdate = "Sat Dec 30 09:53:42 1995",
}
@InCollection{int: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",
bibdate = "Sat Dec 30 09:54:01 1995",
}
@TechReport{int: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 = jan,
institution = "Institut f{\"u}r Angewandte Mathematik und Statistik,
Universit{\"a}t W{\"u}rzburg",
address = "Am Hubland, D-8700~W{\"u}rzburg, Germany",
bibdate = "Sat Dec 30 09:54:03 1995",
}
@InCollection{int: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",
bibdate = "Sat Dec 30 09:54:06 1995",
}
@TechReport{int: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-8700~W{\"u}rzburg, Germany",
note = "Revised October 1988",
bibdate = "Sat Dec 30 09:54:08 1995",
}
@PhdThesis{int: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-8700~W{\"u}rzburg, Germany",
bibdate = "Sat Dec 30 09:54:10 1995",
}
@TechReport{int:Jarre8,
author = "F. Jarre",
title = "Interior--point methods for convex programming",
type = "{Technical Report}",
number = "SOL~90--16",
year = "1990",
institution = "Systems Optimization Laboratory, Dept.\ of Operations
Research, Stanford University",
address = "Stanford, CA~94305, USA",
}
@InCollection{int: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{int:Jarre10,
author = "F. Jarre and M. A. Saunders",
title = "An adaptive primal--dual method for linear
programming",
journal = "COAL Newsletter",
volume = "19",
year = "1991",
month = aug,
pages = "7--16",
}
@TechReport{int: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 = apr,
institution = "State University of New York",
address = "Stony Brook, NY~11794, USA",
}
@TechReport{int: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}",
year = "1991",
institution = "Dept.\ of Mathematics, The University of Iowa",
address = "Iowa City, IA~52242, USA",
note = "Technical Report TR--91--23, Dept.\ of Mathematical
Sciences, Rice University, Houston, TX~77251, USA,
1991",
}
@TechReport{int:Jung1,
author = "H. W. Jung and R. E. Marsten and M. J. Saltzman",
title = "The column {Cholesky} method for numerical
factorization in interior point algorithms",
type = "{Technical Report}",
number = "596",
year = "1991",
institution = "Dept.\ of Mathematical Sciences,Clemson University",
address = "Clemson, SC, USA",
}
@TechReport{int: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 = sep,
institution = "Sektion Wirtschaftswissenschaften, TU Chemnitz",
address = "P.~O.~Box~964, D-9010~Chemnitz, East Germany",
bibdate = "Sat Dec 30 09:54:52 1995",
}
@Article{int:Kalantari1,
author = "B. Kalantari",
title = "Karmarkar's algorithm with improved steps",
journal = "Mathematical Programming",
volume = "46",
year = "1990",
pages = "73--78",
}
@TechReport{int:Kalantari2,
author = "B. Kalantari",
title = "Derivation of a generalized and strengthened {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{int: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{int: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",
}
@TechReport{int:Kalantari5,
author = "B. Kalantari",
title = "Generalization of {Karmarkar's} algorithm to convex
homogeneous functions",
type = "{Technical Report}",
number = "LCSR--TR--130",
year = "1989",
institution = "Laboratory for Computer Science Research, Rutgers
University",
address = "New Brunswick, NJ~08903, USA",
}
@TechReport{int:Kaliski1,
author = "J. A. Kaliski and Y. Ye",
title = "A decomposition variant of the potential reduction
algorithm for linear programming",
type = "{Working Paper}",
year = "1991",
institution = "Dept.\ of Management Science, College of Business
Administration, University of Iowa",
address = "Iowa City, IA~52240, USA",
}
@Article{int: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",
}
@TechReport{int: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{int: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{int: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",
}
@Book{int: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",
}
@Article{int: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{int: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 = "Dept.\ of Computer Science, University of Illinois at
Urbana--Champaign",
address = "Urbana, IL~61820, USA",
}
@TechReport{int:Kapoor3,
author = "S. Kapoor and P. M. Vaidya",
title = "Speeding--up {Karmarkar}'s algorithm for
multicommodity flows",
type = "{Technical Report}",
year = "1989",
institution = "Dept.\ of Computer Science, University of Illinois at
Urbana--Champaign",
address = "Urbana, IL~61820, USA",
note = "To appear in {\em Mathematical Programming}",
}
@Book{int:Karloff1,
author = "H. Karloff",
title = "Linear Programming",
year = "1991",
publisher = "Birkh{\"a}user Verlag",
address = "Basel, Switzerland",
note = "Chapter on Karmarkar's algorithm",
}
@Article{int: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{int:Karmarkar2,
author = "N. K. Karmarkar",
title = "A new polynomial--time algorithm for linear
programming",
journal = "Combinatorica",
volume = "4",
year = "1984",
pages = "373--395",
}
@TechReport{int: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{int: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 = jul,
institution = "AT~\&~T~Bell Laboratories",
address = "Murray Hill, NJ~07974, USA",
}
@Misc{int: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{int: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{int: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{int: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 = "{Talk held at the 13th International Symposium on
Mathematical Programming in Tokyo, Japan}",
year = "1988",
month = aug,
institution = "AT~\&~T Bell Laboratories",
address = "Murray Hill, NJ~07974, USA",
note = "Extended Abstract circulated at the Symposium",
}
@TechReport{int:Karmarkar9,
author = "N. K. Karmarkar and K. G. Ramakrishnan",
title = "Computational results of an interior point algorithm
for large scale 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 = jan,
institution = "AT~\&~T Bell Laboratories",
address = "Murray Hill, NJ~07974, USA",
note = "To appear in {\em Mathematical Programming, Series~B,
1991}",
}
@TechReport{int: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 = jul,
institution = "AT~\&~T Bell Laboratories",
address = "Murray Hill, NJ~07974, USA",
}
@TechReport{int: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 = aug,
institution = "AT~\&~T Bell Laboratories",
address = "Murray Hill, NJ~07974, USA",
}
@TechReport{int: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 = oct,
institution = "AT~\&~T Bell Laboratories",
address = "Murray Hill, NJ 07974, USA",
}
@TechReport{int: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 = jan,
institution = "AT~\&~T~Bell Laboratories",
address = "Murray Hill, NJ~07974, USA",
}
@Article{int: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",
}
@TechReport{int:Karmarkar15,
author = "N. K. Karmarkar",
title = "Interior point methods in optimization",
type = "{Talk held at the Second International Conference on
Industrial and Applied Mathematics (ICIAM~'91),
Washington, DC, USA}",
year = "1991",
month = jul,
institution = "AT~\&~T~Bell Laboratories",
address = "Murray Hill, NJ~07974, USA",
}
@TechReport{int: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",
}
@TechReport{int:Karmarkar17,
author = "N. K. Karmarkar and K. G. Ramakrishnan and M. G. C.
Resende",
title = "An interior point algorithm to solve computationally
difficult set covering problems",
type = "{Extended Abstract}",
year = "1989",
institution = "AT~\&~T~Bell Laboratories",
address = "Murray Hill, NJ~07974, USA",
note = "To appear in {\em Mathematical Programming, Series~B,
1991}",
}
@TechReport{int: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{int: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{int: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 (in preparation)}",
year = "1988/1990",
institution = "AT~\&~T~Bell Laboratories",
address = "Murray Hill, NJ~07974, USA",
}
@Article{int: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",
}
@Article{int: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 = dec,
pages = "1603--1605",
}
@PhdThesis{int:Keraghel1,
author = "A. Keraghel",
title = "Etude adaptive et comparative des principales
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)",
bibdate = "Thu Nov 21 08:26:23 1996",
}
@TechReport{int: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, USA",
}
@Article{int: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",
}
@Article{int: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{int: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{int: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 = "Dept.\ of Information Sciences, Tokyo Institute of
Technology",
address = "Oh-Okayama, Meguro-ku, Tokyo~152, Japan",
}
@TechReport{int:Kojima3,
author = "M. Kojima and N. Megiddo and Y. Ye",
title = "An interior point potential reduction algorithm for
the linear complementarity problem",
type = "{Technical Report}",
number = "RJ~6486",
year = "1988",
institution = "IBM~T.~J.~Watson Research Center",
address = "Yorktown Heights, NY~10598, USA",
note = "To appear in {\em Mathematical Programming}",
}
@InCollection{int: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, NY, USA",
editor = "N.~Megiddo",
year = "1989",
pages = "29--47",
}
@Article{int: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{int: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{int: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{int: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{int: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",
}
@TechReport{int:Kojima10,
author = "M. Kojima and Y. Kurita and S. Mizuno",
title = "Large--step interior point algorithms for linear
complementarity problems",
type = "Research Reports on Information Sciences, Ser.~B~:
Operations Research",
number = "B--243",
year = "1991",
institution = "Dept.\ of Information Sciences, Tokyo Institute of
Technology",
address = "Oh-Okayama, Meguro-ku, Tokyo~152, Japan",
}
@TechReport{int:Kojima11,
author = "M. Kojima and N. Megiddo and S. Mizuno",
title = "A general framework of continuation methods for
complementarity problems",
type = "{Research Report}",
number = "RJ~7720~(71585)",
year = "1990",
institution = "IBM Almaden Research Division",
address = "San Jose, CA~95120-6099, USA",
}
@TechReport{int:Kojima12,
author = "M. Kojima and N. Megiddo and S. Mizuno",
title = "Theoretical convergence of large--step--primal--dual
interior point algorithms for linear programming",
type = "{Research Report}",
number = "RJ~7872~(72532)",
year = "1990",
institution = "IBM Almaden Research Division",
address = "San Jose, CA~95120-6099, USA",
note = "To appear in {\em Mathematical Programming}",
}
@Article{int: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",
}
@TechReport{int:Kojima14,
author = "M. Kojima and S. Mizuno and A. Yoshise",
title = "A little theorem of the {$Big-M$} in interior point
algorithms",
type = "Research Reports on Information Sciences, Ser.~B~:
Operations Research",
number = "B--239",
year = "1991",
month = feb,
institution = "Dept.\ of Information Sciences, Tokyo Institute of
Technology",
address = "Oh-Okayama, Meguro-ku, Tokyo~152, Japan",
}
@Article{int: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{int: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{int: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 Division",
address = "San Jose, CA~95120-6099, USA",
}
@TechReport{int:Kojima18,
author = "M. Kojima and N. Megiddo and T. Noma",
title = "Homotopy continuation methods for nonlinear
complementarity problems",
type = "{Research Report}",
year = "1989",
institution = "IBM Almaden Research Division",
address = "San Jose, CA~95120-6099, USA",
}
@Article{int:Kolata1,
author = "G. Kolata",
title = "A fast way to solve hard problems",
journal = "Science",
volume = "225",
year = "1984",
month = sep,
pages = "1379--1380",
}
@TechReport{int: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 = oct,
institution = "Institute of Human and Social Science, Institute of
Technology",
address = "2-12-1~Oh-Okayama, Meguro-ku, Tokyo 152, Japan",
}
@Article{int: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 = mar,
pages = "18--26",
note = "(In Japanese)",
}
@TechReport{int: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 = "Dept.\ of Management Science, College of Business
Administration, University of Iowa",
address = "Iowa City, IA~52240, USA",
note = "To appear in {\em SIAM Journal on Scientific and
Statistical Computations (1991~?)}",
}
@TechReport{int: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 = aug,
institution = "Dept.\ of Management Science, College of Business
Administration, University of Iowa",
address = "Iowa City, IA~52240, USA",
}
@Article{int: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{int: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{int: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 = "Dept.\ of Management Science, College of Business
Administration, University of Iowa",
address = "Iowa City, IA~52240, USA",
}
@Article{int: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",
}
@TechReport{int:Kortanek7,
author = "K. O. Kortanek and H. No",
title = "A second order affine scaling algorithm for the
geometric programming dual with logarithmic barrier",
type = "{Working Paper Series}",
number = "90--07",
year = "1990",
institution = "Dept.\ of Management Science, College of Business
Administration, University of Iowa",
address = "Iowa City, IA~52240, USA",
}
@TechReport{int:Kortanek8,
author = "K. O. Kortanek and J. Zhu",
title = "Controlling the parameter in the logarithmic barrier
term for convex programming problems",
type = "{Working Paper Series}",
number = "90--12",
year = "1990",
institution = "Dept.\ of Management Science, College of Business
Administration, University of Iowa",
address = "Iowa City, IA~52240, USA",
}
@TechReport{int: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 = nov,
institution = "Dept.\ of Management Science, College of Business
Administration, University of Iowa",
address = "Iowa City, IA~52240, USA",
}
@Article{int: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",
}
@TechReport{int:Kovacevic1,
author = "V. V. {Kovacevic--Vujcic}",
title = "Improving the rate of convergence of interior point
methods 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 = jan,
institution = "University of Belgrade",
address = "Belgrade, Yugoslavia",
note = "To appear in {\em Mathematical Programming, Series~B,
1991}",
}
@Article{int:Kozlov1,
author = "A. Kozlov",
title = "The {Karmarkar} algorithm~: {Is} it for real~?",
journal = "SIAM News",
volume = "18",
number = "6",
year = "1985",
month = nov,
pages = "1, 4, 13",
}
@Article{int: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{int: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 = "{The (actual) bibliography can be accessed
electronically by sending e--mail to `{\em
netlib@research.bell-labs.com}' with message `{\em send
index from bib}'}",
bibdate = "Sat Dec 30 09:54:16 1995",
}
@TechReport{int: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{int: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{int: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",
}
@TechReport{int: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 = nov,
institution = "MSIS Department, College of Business Administration,
University of Texas at Austin",
address = "Austin, TX~78712, USA",
}
@TechReport{int: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 = jun,
institution = "University of California",
address = "Berkeley, CA~94720, USA",
}
@TechReport{int: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 = "Dept.\ of Mathematics and Statistics, Brunel
University",
address = "Uxbridge, Middlesex~UB8~3PH, UK",
}
@TechReport{int: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, UK}",
year = "1987",
month = jul,
institution = "Dept.\ of Computer Science and Applied Mathematics,
Aston University",
address = "Birmingham B4~7ET, Great Britain",
}
@Article{int: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{int: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{int: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{int: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 = jul,
institution = "Centre National d'Etudes des Telecommunications,
PAA--ATR",
address = "38-40~Rue du General-Leclerc,
F-92131~Issy-Les-Moulineaux, France",
}
@TechReport{int: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 = jul,
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{int: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)",
}
@TechReport{int: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 = "Dept.\ of Industrial Engineering and Operations
Research, Columbia University",
address = "New York, NY~10027, USA",
}
@TechReport{int: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 = oct,
institution = "Dept.\ of Industrial Engineering and Operations
Research, Columbia University",
address = "New York, NY~10027, USA",
}
@Book{int:Lootsma1,
author = "F. A. Lootsma",
title = "Numerical Methods for Nonlinear Optimization",
publisher = "Academic Press",
year = "1972",
address = "London, UK",
}
@Article{int:Luss1,
author = "H. Luss",
title = "Optimization~: {Methodolgy}, algorithms and
applications",
journal = "AT~\&~T Technical Journal",
volume = "68",
year = "1989",
pages = "3--6",
}
@TechReport{int:Lustig1,
author = "I. J. Lustig",
title = "A practical approach to {Karmarkar}'s algorithm",
type = "{Technical Report}",
number = "SOL~85--5",
year = "1985",
month = jun,
institution = "Systems Optimization Laboratory, Dept.\ of Operations
Research, Stanford University",
address = "Stanford, CA~94305, USA",
}
@TechReport{int: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 = apr,
institution = "School of Engineering and Applied Science, Dept.\ of
Civil Engineering and Operations Research, Princeton
University",
address = "Princeton, NJ~08544, USA",
}
@TechReport{int: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, Dept.\ of
Civil Engineering and Operations Research, Princeton
University",
address = "Princeton, NJ~08544, USA",
}
@TechReport{int: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 = mar,
institution = "School of Engineering and Applied Science, Dept.\ of
Civil Engineering and Operations Research, Princeton
University",
address = "Princeton, NJ~08544, USA",
}
@Article{int:Lustig5,
author = "I. J. Lustig",
title = "Feasibility issues in an interior point method for
linear programming",
journal = "Mathematical Programming",
volume = "49",
year = "1990/91",
pages = "145--162",
}
@Article{int: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, Dept.\ of Operations
Research, Stanford University, Stanford, CA~94305,
USA, 1987",
}
@Article{int: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{int: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",
}
@Article{int: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{int:Lustig10,
author = "I. J. Lustig and D. F. Shanno and J. W. Gregory",
title = "The primal--dual interior point method on a {Cray}
supercomputer",
type = "{Technical Report}",
number = "SOR~89--21",
year = "1989",
institution = "School of Engineering and Applied Science, Dept.\ of
Civil Engineering and Operations Research, Princeton
University",
address = "Princeton, NJ~08544, USA",
}
@TechReport{int: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, Dept.\ of
Civil Engineering and Operations Research, Princeton
University",
address = "Princeton, NJ~08544, USA",
}
@InCollection{int:Lustig12,
author = "I. J. Lustig and R. E. Marsten and D. F. Shanno",
title = "The primal--dual interior point method on the {Cray}
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{int: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, Dept.\ of
Civil Engineering and Operations Research, Princeton
University",
address = "Princeton, NJ~08544, USA",
}
@TechReport{int: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",
type = "{Technical Report}",
number = "SOR~90--03",
year = "1990",
month = apr,
institution = "School of Engineering and Applied Science, Dept.\ of
Civil Engineering and Operations Research, Princeton
University",
address = "Princeton, NJ~08544, USA",
note = "To appear in {\em SIAM Journal on Optimization}",
}
@TechReport{int: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, Dept.\ of
Civil Engineering and Operations Research, Princeton
University",
address = "Princeton, NJ~08544, USA",
}
@TechReport{int:Lustig16,
author = "I. J. Lustig and R. E. Marsten and D. F. Shanno",
title = "The interaction of algorithms and architectures for
interior point methods",
type = "{Technical Report}",
number = "SOR~91--18",
year = "1991",
month = jul,
institution = "School of Engineering and Applied Science, Dept.\ of
Civil Engineering and Operations Research, Princeton
University",
address = "Princeton, NJ~08544, USA",
}
@InCollection{int: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{int:Lustig18,
author = "I. J. Lustig and R. E. Marsten and D. F. Shanno",
title = "Interior method vs.\ simplex method~: {Beyond} {\em
netlib}",
journal = "COAL Newsletter",
volume = "19",
year = "1991",
month = aug,
pages = "41--44",
}
@MastersThesis{int: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)",
bibdate = "Sat Dec 30 09:54:20 1995",
}
@TechReport{int: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 = "Dept.\ of Computer Science, University of Wisconsin",
address = "Madison, WI~53706, USA",
}
@MastersThesis{int: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)",
bibdate = "Sat Dec 30 09:54:23 1995",
}
@TechReport{int: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 = oct,
institution = "Dept.\ of MIS, University of Arizona",
address = "Tucson, AZ~85721, USA",
}
@TechReport{int:Marsten2,
author = "R. E. Marsten and D. F. Shanno",
title = "On implementing {Karmarkar}'s algorithm",
type = "{Technical Report}",
year = "1985",
institution = "Dept.\ of MIS, University of Arizona",
address = "Tucson, AZ~85721, USA",
}
@TechReport{int: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 = jan,
institution = "School of Industrial and Systems Engineering, Georgia
Technology Institute",
address = "Atlanta, GA~30322-0205, USA",
}
@TechReport{int: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{int: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{int: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{int: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 = oct,
institution = "Dept.\ of MIS, University of Arizona",
address = "Tucson, AZ~85721, USA",
}
@TechReport{int: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 = jul,
institution = "School of Industrial and Systems Engineering, Georgia
Technology Institute",
address = "Atlanta, GA~30322-0205, USA",
}
@TechReport{int: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 = oct,
institution = "School of Industrial and System Engineering, Georgia
Institute of Technology",
address = "Atlanta, GA~30322, USA",
}
@TechReport{int: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 = jul,
institution = "Dept.\ of Systems Engineering and Computer Science,
COPPE Federal University of Rio de Janeiro",
address = "21941~Rio~de~Janeiro, RJ, Brazil",
}
@TechReport{int:Marxen1,
author = "A. Marxen",
title = "Primal barrier methods for linear programming",
type = "{Technical Report}",
number = "SOL~89--6",
year = "1989",
month = jun,
institution = "Systems Optimization Laboratory, Dept.\ of Operations
Research, Stanford University",
address = "Stanford, CA~94305, USA",
}
@PhdThesis{int:Marxen2,
author = "A. Marxen",
title = "Primal barrier methods for linear programming",
year = "1989",
school = "Systems Optimization Laboratory, Dept.\ of Operations
Research, Stanford University",
address = "Stanford, CA~94305, USA",
}
@Article{int: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{int: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{int: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 = jul,
institution = "Institute of Economics and Statistics, St. Cross
Building, Oxford University",
address = "Oxford~OX1~3UL, UK",
}
@Article{int: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{int: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{int:McShane2,
author = "K. A. McShane",
title = "A superlinearly convergent ${O(\sqrt{n}L)}$ iteration
primal--dual linear programming algorithm",
type = "Manuscript",
year = "1991",
address = "2537~Villanova Drive, Vienna, Virginia, USA",
}
@TechReport{int:Megiddo1,
author = "N. Megiddo",
title = "A variation on {Karmarkar}'s algorithm",
type = "{Preliminary Report}",
year = "1985",
institution = "IBM Research Division, Almaden Research Center",
address = "San Jose, CA~95120-6099, USA",
}
@Book{int:Megiddo2,
author = "N. Megiddo",
title = "New Approaches to Linear Programming",
year = "1986",
series = "Algorithmica",
volume = "1(4)",
publisher = "Springer-Verlag",
address = "Berlin, Germany",
bibdate = "Sat Dec 30 09:54:25 1995",
}
@Article{int:Megiddo3,
author = "N. Megiddo",
title = "Introduction~: {New} approaches to linear
programming",
journal = "Algorithmica",
volume = "1",
number = "4",
year = "1986",
pages = "387--394",
}
@Article{int:Megiddo4,
author = "N. Megiddo",
title = "Linear programming~(1986)",
journal = "Annual Review of Computer Science",
volume = "2",
year = "1987",
pages = "119--145",
}
@TechReport{int:Megiddo5,
author = "N. Megiddo",
title = "Report on the conference~: {Progress} in mathematical
programming",
type = "{Technical Report}",
number = "RJ~5923",
year = "1987",
month = oct,
institution = "IBM~T.~J.~Watson Research Center",
address = "Yorktown Heights, NY~10598, USA",
}
@InCollection{int: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, UK",
editor = "T. F. Bewley",
year = "1987",
pages = "225--258",
}
@InCollection{int: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{int:Megiddo8,
author = "N. Megiddo",
title = "Switching from a primal--dual {Newton} algorithm to a
primal--dual (interior) simplex algorithm",
type = "{Technical Report}",
number = "RJ~6327",
year = "1988",
institution = "IBM~T.~J.~Watson Research Center",
address = "Yorktown Heights, NY~10598, USA",
}
@Article{int: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{int:Megiddo10,
author = "N. Megiddo",
title = "Progress in Mathematical Programming~: Interior Point
and Related Methods",
publisher = "Springer-Verlag",
address = "New York, NY, USA",
year = "1989",
}
@InCollection{int: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, NY, USA",
note = "Identical version in~: {\em Proceedings of the 6th
Mathematical Programming Symposium of Japan, Nagoya,
Japan}, pages 1--35, 1986",
}
@Article{int: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 = "1987",
pages = "97--114",
}
@TechReport{int:Mehrotra1,
author = "S. Mehrotra",
title = "A self-correcting version of {Karmarkar}'s
algorithm",
type = "{Technical Report}",
year = "1986",
institution = "Dept.\ of Industrial Engineering and Operations
Research",
address = "Columbia University, New York, NY~10027, USA",
}
@PhdThesis{int:Mehrotra2,
author = "S. Mehrotra",
title = "Variants of {Karmarkar}'s algorithm~: {Theoretical}
complexity and practical implementation",
year = "1987",
school = "Dept.\ of Industrial Engineering and Operations
Reseach, Columbia University",
address = "New York, NY~10027, USA",
}
@TechReport{int: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 = oct,
institution = "Dept.\ of Industrial Engineering and Management
Science, Northwestern University",
address = "Evanston, IL~60208, USA",
}
@TechReport{int: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 = "Dept.\ of Industrial Engineering and Management
Science, Northwestern University",
address = "Evanston, IL~60208, USA",
}
@TechReport{int:Mehrotra5,
author = "S. Mehrotra",
title = "Implementation of affine scaling methods~:
{Approximate} solutions of systems of linear equations
using preconditioned conjugate gradient methods",
type = "{Technical Report}",
number = "89--04",
month = aug,
year = "1989",
institution = "Dept.\ of Industrial Engineering and Management
Science, Northwestern University",
address = "Evanston, IL~60208, USA",
}
@TechReport{int: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 = oct,
institution = "Dept.\ of Industrial Engineering and Management
Science, Northwestern University",
address = "Evanston, IL~60208, USA",
}
@Article{int: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{int: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 = feb,
institution = "Dept.\ of Industrial Engineering and Management
Science, Northwestern University",
address = "Evanston, IL~60208, USA",
}
@TechReport{int: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 = "Dept.\ of Industrial Engineering and Management
Science, Northwestern University",
address = "Evanston, IL~60208, USA",
}
@TechReport{int:Mehrotra10,
author = "S. Mehrotra",
title = "On the implementation of a (primal--dual) interior
point method",
type = "{Technical Report}",
number = "90--03",
year = "1990",
month = mar,
institution = "Dept.\ of Industrial Engineering and Management
Science, Northwestern University",
address = "Evanston, IL~60208, USA",
note = "Revised June 1990",
}
@Article{int: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{int: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{int: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{int: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{int: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 = jul,
institution = "Dept.\ of Industrial Engineering and Management
Science, Northwestern University",
address = "Evanston, IL~60208, USA",
}
@TechReport{int: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 = "Dept.\ of Industrial Engineering and Management
Science, Northwestern University",
address = "Evanston, IL~60208, USA",
}
@TechReport{int: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 = "Dept.\ of Industrial Engineering and Management
Science, Northwestern University",
address = "Evanston, IL~60208, USA",
}
@TechReport{int:Mehrotra18,
author = "S. Mehrotra",
title = "Handling free variables in interior methods",
type = "{Technical Report}",
number = "91--06",
year = "1991",
month = mar,
institution = "Dept.\ of Industrial Engineering and Management
Science, Northwestern University",
address = "Evanston, IL~60208, USA",
}
@TechReport{int:Mehrotra19,
author = "S. Mehrotra",
title = "Finite termination and superlinear convergence in
primal--dual methods",
type = "{Technical Report}",
number = "91--13",
year = "1991",
month = jul,
institution = "Dept.\ of Industrial Engineering and Management
Science, Northwestern University",
address = "Evanston, IL~60208, USA",
}
@TechReport{int:Mehrotra20,
author = "S. Mehrotra",
title = "Higher order methods and their performance",
type = "{Technical Report}",
number = "TR~90--16R1",
year = "1990",
institution = "Dept.\ of Industrial Engineering and Management
Science, Northwestern University",
address = "Evanston, IL~60208, USA",
note = "Revised July 1991",
}
@TechReport{int: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 = "Dept.\ of Industrial Engineering and Management
Science, Northwestern University",
address = "Evanston, IL~60208, USA",
}
@TechReport{int:Mehrotra22,
author = "S. Mehrotra",
title = "Deferred rank--one updates in ${O(n^{3}L)}$ interior
point algorithm",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in
Anaheim, CA, USA}",
year = "1991",
month = nov,
institution = "Dept.\ of Industrial Engineering and Management
Science, Northwestern University",
address = "Evanston, IL~60208, USA",
}
@TechReport{int: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 = oct,
institution = "AT~\&~T Bell Laboratories",
address = "Holmdel, NJ~07733, USA",
}
@InCollection{int: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{int: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",
}
@TechReport{int: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-8700~W{\"u}rzburg, Germany",
bibdate = "Sat Dec 30 09:54:26 1995",
}
@TechReport{int: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 = oct,
institution = "Dept.\ of Computer Science, University of Wisconsin",
address = "Madison, WI~53706, USA",
}
@InCollection{int: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",
}
@TechReport{int: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",
}
@PhdThesis{int: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{int: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{int: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",
}
@Article{int: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{int:Mitchell5,
author = "J. E. Mitchell and M. J. Todd",
title = "Solving combinatorial optimization problems using
{Karmarkar}'s algorithm, {Part~I}~: {Theory}",
type = "{Technical Report}",
year = "1989",
institution = "School of Operations Research and Industrial
Engineering, Cornell University",
address = "Ithaca, NY~14853-7501, USA",
}
@TechReport{int:Mitchell6,
author = "J. E. Mitchell and M. J. Todd",
title = "Solving combinatorial optimization problems using
{Karmarkar}'s algorithm, {Part~II}~: {Computational}
results",
type = "{Technical Report}",
year = "1989",
institution = "School of Operations Research and Industrial
Engineering, Cornell University",
address = "Ithaca, NY~14853-7501, USA",
}
@TechReport{int:Mitchell7,
author = "J. E. Mitchell and M. J. Todd",
title = "Solving perfect matching problems using {Karmarkar}'s
algorithm",
type = "{Technical Report}",
year = "1988",
institution = "Rensselaer Polytechnic Institute, Dept.\ of
Mathematical Sciences",
address = "Troy, NY~12180-3590, USA",
}
@TechReport{int:Mitchell8,
author = "J. E. Mitchell",
title = "An interior point column generation method for linear
programming with shifted barriers",
type = "{RPI Technical Report}",
number = "191",
year = "1988",
institution = "Rensselaer Polytechnic Institute, Dept.\ of
Mathematical Sciences",
address = "Troy, NY~12180-3590, USA",
}
@TechReport{int:Mitchell9,
author = "J. E. Mitchell and M. J. Todd",
title = "Solving combinatorial optimization problems using
{Karmarkar}'s algorithm",
type = "{Technical Report}",
year = "1990",
month = may,
institution = "School of Operations Research and Industrial
Engineering, Cornell University",
address = "Ithaca, NY~14853-7501, USA",
note = "Revised February 1991",
}
@InCollection{int:Mitchell10,
author = "J. E. Mitchell and M. J. Todd",
title = "Solving 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",
}
@TechReport{int:Mitchell11,
author = "J. E. Mitchell",
title = "A note on updating lower bounds when using
{Karmarkar}'s projective algorithm for linear
programming",
type = "{RPI Technical Report}",
number = "190",
year = "1990",
institution = "Rensselaer Polytechnic Institute, Dept.\ of
Mathematical Sciences",
address = "Troy, NY~12180-3590, USA",
}
@TechReport{int: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",
month = "",
institution = "School of Operations Research and Industrial
Engineering, Cornell University",
address = "Ithaca, NY~14853-7501, USA",
}
@TechReport{int: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 = nov,
institution = "Rensselaer Polytechnic Institute, Dept.\ of
Mathematical Sciences",
address = "Troy, NY~12180-3590, USA",
}
@InCollection{int: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, UK",
}
@Article{int: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",
}
@Article{int: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{int: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{int: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{int: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, USA",
}
@TechReport{int: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, USA",
}
@TechReport{int: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, USA",
}
@Article{int: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",
}
@TechReport{int:Mizuno8,
author = "S. Mizuno and M. J. Todd and Y. Ye",
title = "On adaptive step primal--dual interior--point
algorithms for linear programming",
type = "{Technical Report}",
number = "944",
year = "1990",
month = oct,
institution = "School of Operations Research and Industrial
Engineering, Cornell University",
address = "Ithaca, NY~14853, USA",
note = "To appear in {\em Mathematics of Operations
Research}",
}
@TechReport{int:Mizuno9,
author = "S. Mizuno",
title = "A new polynomial time method for a linear
complementarity problem",
type = "{Technical Report}",
number = "16",
year = "1989",
institution = "Dept.\ of Management Science and Engineering, Tokyo
Institute of Technology",
address = "Oh-Okayama, Meguro-ku, Tokyo~152, Japan",
}
@Article{int: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{int: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, USA",
note = "To appear in {\em Mathematical Programming}",
}
@TechReport{int:Mizuno12,
author = "S. Mizuno and M. J. Todd and Y. Ye",
title = "Anticipated behavior of long step algorithms for
linear programming",
type = "{Technical Report}",
number = "24",
year = "1989",
institution = "Dept.\ of Management Science and Engineering, Tokyo
Institute of Technology",
address = "Oh-Okayama, Meguro-ku, Tokyo~152, Japan",
}
@TechReport{int:Mizuno13,
author = "S. Mizuno and M. J. Todd",
title = "An {$O(n^{3}L)$} adaptive 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, USA",
note = "To appear in {\em Mathematical Programming, Series~B,
1991}",
}
@TechReport{int: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{int:Monma2,
author = "C. L. Monma",
title = "Successful implementations of interior algorithms",
journal = "SIAM News",
volume = "22",
number = "2",
year = "1989",
month = mar,
pages = "14--16",
}
@Article{int: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",
}
@TechReport{int:Monteiro1,
author = "R. D. C. Monteiro",
title = "On the continuous trajectories for a potential
reduction algorithm for linear programming",
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",
}
@TechReport{int: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 = "Dept.\ of Industrial Engineering and Operations
Research, University of California",
address = "Berkeley, CA~94720, USA",
}
@Article{int:Monteiro3,
author = "R. D. C. Monteiro and I. Adler",
title = "Interior path following primal--dual algorithms~:
{Part~I~: L}inear programming",
journal = "Mathematical Programming",
volume = "44",
year = "1989",
pages = "27--41",
}
@Article{int:Monteiro4,
author = "R. D. C. Monteiro and I. Adler",
title = "Interior path following primal--dual algorithms~:
{Part~II~: C}onvex quadratic programming",
journal = "Mathematical Programming",
volume = "44",
year = "1989",
pages = "43--66",
}
@Article{int: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{int: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 = oct,
institution = "Engineering Systems Research Center, University of
California",
address = "Berkeley, CA~94720, USA",
}
@Article{int: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{int: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 = jul,
institution = "Dept.\ of Systems and Industrial Engineering,
University of Arizona",
address = "Tucson, AZ~85721, USA",
}
@InCollection{int: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",
}
@TechReport{int: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 = "Dept.\ of Mathematics and Computer Science, School of
Industrial Engineering, Purdue University",
address = "West Lafayette, IN~47907, USA",
}
@TechReport{int: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 = "Dept.\ of Mathematics and Computer Science, School of
Industrial Engineering, Purdue University",
address = "West Lafayette, IN~47907, USA",
}
@TechReport{int: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 = aug,
institution = "Rice University, Dept.\ of Mathematical Sciences",
address = "Houston, TX~77251, USA",
}
@TechReport{int: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",
bibdate = "Sat Dec 30 09:54:28 1995",
}
@TechReport{int: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, Dept.\ of
Civil Engineering and Operations Research, Princeton
University",
address = "Princeton, NJ~08544, USA",
}
@TechReport{int: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 = nov,
institution = "School of Engineering and Applied Science, Dept.\ of
Civil Engineering and Operations Research, Princeton
University",
address = "Princeton, NJ~08544, USA",
}
@InCollection{int: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",
volume = "F51",
year = "1989",
pages = "115--137",
publisher = "Springer-Verlag",
address = "Berlin, Germany",
bibdate = "Sat Dec 30 09:54:28 1995",
}
@TechReport{int:Murray2,
author = "S. 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 = nov,
institution = "Dept.\ of Operations Research, Stanford University",
address = "Stanford, CA~94305, USA",
}
@TechReport{int:Murray3,
author = "W. Murray and M. H. Wright",
title = "Line search procedures for the logarithmic barrier
function",
type = "Manuscript",
year = "1991",
institution = "AT~\&~T Bell Laboratories",
address = "Murray Hill, NJ~07974, USA",
}
@TechReport{int: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 = apr,
institution = "Dept.\ of Operations Research, University of
Michigan",
address = "Ann Arbor, MI~48103, USA",
}
@TechReport{int: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 = "Dept.\ of Operations Research, University of
Michigan",
address = "Ann Arbor, MI~48103, USA",
}
@Article{int: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{int: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",
bibdate = "Sat Dec 30 09:54:28 1995",
}
@InBook{int: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",
bibdate = "Sat Dec 30 09:54:28 1995",
}
@Article{int:Nash1,
author = "S. G. Nash",
title = "Optimization at {ICIAM~'91}",
journal = "SIAM News",
volume = "24",
number = "5",
year = "1991",
month = sep,
pages = "16",
}
@TechReport{int: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{int:Nazareth2,
author = "J. L. Nazareth",
title = "Homotopy techniques in linear programming",
journal = "Algorithmica",
volume = "1",
number = "4",
year = "1986",
pages = "529--535",
}
@InCollection{int: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",
bibdate = "Sat Dec 30 09:54:30 1995",
}
@TechReport{int:Nazareth4,
author = "J. L. Nazareth",
title = "Some parallels in the historical development of the
simplex and interior point methods for linear
programming",
type = "{Mathematics Note}",
year = "19..(?)",
institution = "Dept.\ of Pure and Applied Mathematics, Washington
State University",
address = "Pullman, WA~99164-2930, USA",
}
@Article{int: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",
}
@InBook{int: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, NY, USA",
year = "1988",
}
@Article{int:Nemirovskiy1,
author = "A. S. Nemirovskiy",
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{int:Nemirovskiy2,
author = "A. S. Nemirovskiy",
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{int:Nesterov1,
author = "Y. Y. 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{int:Nesterov2,
author = "Y. Y. 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{int:Nesterov3,
author = "Y. Y. 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{int: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{int: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",
}
@TechReport{int: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 = oct,
institution = "Dept.\ of Information Science, Tokyo Institute of
Technology",
address = "2-12-1~Oh-Okayama, Meguro-ku, Tokyo~152, Japan",
}
@TechReport{int: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 = jul,
institution = "Dept.\ of Information Science, Tokyo Institute of
Technology",
address = "2-12-1~Oh-Okayama, Meguro-ku, Tokyo~152, Japan",
}
@PhdThesis{int: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 = "Dept.\ of Information Science, Tokyo Institute of
Technology",
address = "2-12-1~Oh-Okayama, Meguro-ku, Tokyo~152, Japan",
}
@PhdThesis{int:Nunez1,
author = "M. A. {Nunez Araya}",
title = "Experiments using variants of {Dikin's} ellipsoid
method for solving mathematical programs",
year = "1990",
school = "Systems Optimization Laboratory, Dept.\ of Operations
Research, Stanford University",
address = "Stanford, CA~94305, USA",
}
@Article{int: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)",
}
@InCollection{int: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 Science",
volume = "143",
publisher = "Springer-Verlag",
address = "Berlin, Germany",
bibdate = "Sat Dec 30 09:54:54 1995",
}
@Article{int: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{int: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",
}
@TechReport{int: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 = mar,
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{int: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{int: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 = apr,
institution = "Indian Institute of Technology",
address = "Bombay, India",
}
@Article{int: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{int:Pan2,
author = "V. Pan and J. Reif",
title = "Efficient parallel linear programming",
journal = "Operations Research Letters",
volume = "5",
year = "1986",
pages = "127--135",
}
@Article{int: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",
}
@TechReport{int: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 = aug,
institution = "Dept.\ of Computer Science, Pennsylvania State
University",
address = "University Park, PA~16802, USA",
}
@TechReport{int: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 = jul,
institution = "Dept.\ of Computer Science, Pennsylvania State
University",
address = "University Park, PA~16802, USA",
}
@TechReport{int: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 = "Dept.\ Computer Science, Pennsylvania State
University",
address = "University Park, PA~16802, USA",
}
@Article{int: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{int: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 Control and Information Science",
volume = "144",
publisher = "Springer-Verlag",
address = "Berlin, Germany",
bibdate = "Sat Dec 30 09:54:30 1995",
}
@Article{int: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{int: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 = "Dept.\ of Computer Science, Pennsylvania State
University",
address = "University Park, PA~16802, USA",
}
@TechReport{int: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",
type = "{Technical Report}",
number = "CS--90--32",
year = "1990",
institution = "Dept.\ of Computer Science, Pennsylvania State
University",
address = "University Park, PA~16802, USA",
note = "To appear in {\em SIAM Journal on Matrix Analysis and
Applications, 1991}",
}
@Article{int:Pardalos9,
author = "P. M. Pardalos and C. G. Han and Y. Ye",
title = "Interior--point algorithms for solving nonlinear
optimization problems",
journal = "COAL Newsletter",
volume = "19",
year = "1991",
month = aug,
pages = "45--54",
}
@Article{int: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{int: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{int: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",
}
@Article{int:Philpott1,
author = "A. B. Philpott",
title = "Linear programming made simpler than simplex",
journal = "New Scientist",
year = "1984",
month = "December 6",
pages = "20",
}
@TechReport{int: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{int: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{int: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",
}
@TechReport{int:Polyak1,
author = "R. Polyak",
title = "Modified interior distance function in 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 = jan,
institution = "Mathematical Sciences Department, IBM~T.~J.~Watson
Research Center",
address = "Yorktown Heights, NY~10598, USA",
}
@TechReport{int: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 = jul,
institution = "Mathematical Sciences Department, IBM~T.~J.~Watson
Research Center",
address = "Yorktown Heights, NY~10598, USA",
}
@TechReport{int:Polyak3,
author = "R. Polyak",
title = "Modified barrier function~: {Theory} and practice",
type = "{Technical Report}",
number = "RC~15886",
year = "1990",
institution = "Mathematical Sciences Department, IBM~T.~J.~Watson
Research Center",
address = "Yorktown Heights, NY~10598, USA",
}
@TechReport{int:Polyak4,
author = "R. Polyak",
title = "Modified barrier functions in linear programming",
type = "{Collected Abstracts}",
year = "1988",
institution = "Mathematical Sciences Department, IBM~T.~J.~Watson
Research Center",
address = "Yorktown Heights, NY~10598, USA",
}
@TechReport{int: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{int: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",
}
@PhdThesis{int:Ponceleon1,
author = "D. B. Ponceleon",
title = "Barrier methods for large--scale quadratic
programming",
year = "1990",
school = "Computer Science Department, Stanford University",
address = "Stanford, CA~94305, USA",
}
@TechReport{int:Ponceleon2,
author = "D. B. Ponceleon",
title = "Barrier methods for large--scale quadratic
programming",
type = "{Technical Report}",
number = "SOL~91--2",
year = "1991",
month = jun,
institution = "Systems Optimization Laboratory, Dept.\ of Operations
Research, Stanford University",
address = "Stanford, CA~94305, USA",
}
@TechReport{int: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 = jul,
institution = "Faculty of Engineering, Dept.\ of Electrical
Engineering, University of Waterloo",
address = "Waterloo, Ontario~N2L~3G1, Canada",
}
@TechReport{int: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, Dept.\ of Electrical
Engineering, University of Waterloo",
address = "Waterloo, Ontario~N2L~3G1, Canada",
}
@TechReport{int: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, Dept.\ of Electrical
Engineering, University of Waterloo",
address = "Waterloo, Ontario~N2L~3G1, Canada",
}
@TechReport{int: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",
type = "{Technical Report}",
year = "1988",
institution = "Faculty of Engineering, Dept.\ of Electrical
Engineering, University of Waterloo",
address = "Waterloo, Ontario~N2L~3G1, Canada",
note = "To appear in {\em Stochastic Hydrology and
Hydraulics}",
}
@TechReport{int: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, UK}",
year = "1991",
month = jan,
institution = "Faculty of Engineering, Dept.\ of Electrical
Engineering, University of Waterloo",
address = "Waterloo, Ontario~N2L~3G1, Canada",
}
@InCollection{int: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",
}
@TechReport{int: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 = "Dept.\ of Mathematics, Colorado State University",
address = "Fort Collins, CO~80253, USA",
}
@TechReport{int:Potra1,
author = "F. A. Potra and Y. Ye",
title = "Interior point methods for nonlinear complementarity
problems",
type = "{Working Paper}",
year = "1991",
institution = "Dept.\ of Management Sciences, The University of
Iowa",
address = "Iowa City, IA~52242, USA",
}
@TechReport{int:Potra2,
author = "F. A. Potra",
title = "Implementation of interior point methods on parallel
machines",
type = "{Talk held at the 16. Symposium on Operations
Research in Trier, Germany}",
year = "1991",
month = sep,
institution = "Dept.\ of Management Sciences, The University of
Iowa",
address = "Iowa City, IA~52242, USA",
bibdate = "Sat Dec 30 09:54:30 1995",
}
@TechReport{int: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, UK}",
year = "1991",
month = jan,
institution = "University of Cambridge",
address = "Cambridge, UK",
}
@Article{int: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{int:Radosavljevic1,
author = "M. D. Radosavljevic--Nicolic",
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",
bibdate = "Sat Dec 30 09:54:56 1995",
}
@Article{int: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{int:Renegar1,
author = "J. Renegar",
title = "A polynomial--time algorithm, based on {Newton}'s
method, for linear programming",
journal = "Mathematical Programming",
volume = "40",
year = "1988",
pages = "59--93",
}
@TechReport{int: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, USA",
}
@TechReport{int: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, USA",
}
@TechReport{int: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 = jul,
institution = "Mathematical Sciences Research Center, AT~\&~T~Bell
Laboratories",
address = "Murray Hill, NJ~07974, USA",
}
@TechReport{int: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 = jul,
institution = "Mathematical Sciences Research Center, AT~\&~T Bell
Laboratories",
address = "Murray Hill, NJ~07974, USA",
}
@Article{int:Resende3,
author = "M. G. C. Resende and M. H. Wright",
title = "Sixty--six attend interior methods workshop at
{Asilomar}",
journal = "SIAM News",
volume = "23",
number = "3",
year = "1990",
month = may,
pages = "9",
}
@TechReport{int: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 = jul,
institution = "Mathematical Sciences Research Center, AT~\&~T Bell
Laboratories",
address = "Murray Hill, NJ~07974, USA",
}
@TechReport{int: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 = jul,
institution = "Mathematical Sciences Research Center, AT~\&~T Bell
Laboratories",
address = "Murray Hill, NJ~07974, USA",
}
@TechReport{int: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 = jul,
institution = "Mathematical Sciences Research Center, AT~\&~T Bell
Laboratories",
address = "Murray Hill, NJ~07974, USA",
}
@TechReport{int: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 = nov,
institution = "Mathematical Sciences Research Center, AT~\&~T Bell
Laboratories",
address = "Murray Hill, NJ~07974, USA",
note = "Revised February 1991",
}
@TechReport{int: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 = aug,
institution = "Mathematical Sciences Research Center, AT~\&~T Bell
Laboratories",
address = "Murray Hill, NJ~07974, USA",
}
@TechReport{int: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 = nov,
institution = "Mathematical Sciences Research Center, AT~\&~T Bell
Laboratories",
address = "Murray Hill, NJ~07974, USA",
}
@InBook{int: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), pages 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{int: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",
}
@Article{int: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{int:Roehrkasse1,
author = "R. Roehrkasse",
title = "Linear programming and {Operations Research}",
journal = "IEEE Potentials",
volume = "9",
number = "4",
year = "1990",
month = dec,
pages = "39--40",
}
@TechReport{int: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{int: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{int: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{int: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{int: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{int: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{int: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{int: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",
bibdate = "Sat Dec 30 09:54:32 1995",
}
@TechReport{int: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 = jan,
institution = "Faculty of Mathematics and Informatics, TU Delft",
address = "NL-2628~BL~Delft, The Netherlands",
}
@TechReport{int: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 = aug,
institution = "Faculty of Mathematics and Informatics, TU Delft",
address = "NL-2628~BL~Delft, The Netherlands",
}
@TechReport{int: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",
}
@TechReport{int:Roos12,
author = "C. Roos and J. P. Vial",
title = "A polynomial method of approximate centers for linear
programming",
type = "{Technical Report}",
number = "88--68",
year = "1988",
institution = "Faculty of Mathematics and Informatics, TU Delft",
address = "NL-2628~BL~Delft, The Netherlands",
note = "Submitted to {\em Mathematical Programing}",
}
@TechReport{int:Roos13,
author = "C. Roos and J. P. 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{int:Roos14,
author = "C. Roos and J. P. 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. Dreze",
editor = "J. Gabszevwicz and J. F. Richard and L. Wolsey",
year = "1989",
pages = "433--441",
publisher = "Elsevier Science Publisher B.V.",
address = "Amsterdam, The Netherlands",
}
@TechReport{int: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{int: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{int:Roos17,
author = "C. Roos and J. P. Vial",
title = "Interior Point Methods, Theory and Practice~:
Proceedings of the First International Symposium on
Interior Point Methods for Linear Programming~: Theory
and Practice, held in Scheveningen, The Netherlands,
January 1990",
year = "1991",
series = "Mathematical Programming, Series~B",
publisher = "North Holland",
address = "Amsterdam, The Netherlands",
}
@Article{int: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{int: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 = apr,
institution = "Dept.\ of Industrial and Operational Engineering,
University of Michigan",
address = "Ann Arbor, MI~48109-2117, USA",
}
@TechReport{int: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 = oct,
institution = "Dept.\ of Industrial and Operational Engineering,
University of Michigan",
address = "Ann Arbor, MI~48109-2117, USA",
}
@TechReport{int: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 = jul,
institution = "Dept.\ of Industrial and Operational Engineering,
University of Michigan",
address = "Ann Arbor, MI~48109-2117, USA",
}
@TechReport{int:Salamanca1,
author = "A. Salamanca",
title = "An inner ellipsoid algorithm for linear programming",
type = "{Technical Report}",
number = "1--ABR/86",
year = "1986",
institution = "Dept.\ of Mathematics, E.~T.~S. de Ingenieros
Industriales, Universidad Politecmia de Madrid",
address = "Madrid, Spain",
}
@Article{int: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",
}
@TechReport{int: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 = "Dept.\ of Mathematical Sciences, Clemson University",
address = "Clemson, SC~29634-1907, USA",
}
@InCollection{int: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{int: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 = oct,
institution = "Dept.\ of Mathematical Sciences, Clemson University",
address = "Clemson, SC~29634-1907, USA",
}
@TechReport{int: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 = jul,
institution = "Dept.\ of Mathematical Sciences, Rice University",
address = "Houston, TX~77251, USA",
}
@TechReport{int:Schneider1,
author = "W. Schneider",
title = "An inner point preprocessing procedure",
type = "{Talk held at the DGOR--Jahrestagung in
Stuttgart--Hohernheim, Germany}",
year = "1991",
month = sep,
institution = "Institut f{\"u}r Informatik, Universit{\"a}t Linz",
address = "P.~O.~Box, A-4040~Linz, Austria",
bibdate = "Sat Dec 30 09:54:32 1995",
}
@Article{int: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{int: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, West-Germany",
bibdate = "Sat Dec 30 09:54:32 1995",
}
@Article{int:Schrijver1,
author = "A. Schrijver",
title = "The new linear programming method of {Karmarkar}",
journal = "CWI Newsletter",
volume = "8",
year = "1985",
pages = "2--14",
}
@InBook{int: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, NY, USA",
year = "1986",
}
@TechReport{int: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 = jan,
institution = "Centre for Mathematics and Computer Science (CWI)",
address = "Kruislaan 413, NL-1098~SJ~Amsterdam, The
Netherlands",
}
@TechReport{int:Schultz1,
author = "G. L. Schultz and R. R. Meyer",
title = "A structured interior point method",
type = "{Technical Report}",
number = "934",
year = "1990",
institution = "Dept.\ of Computer Science, University of Wisconsin",
address = "Madison, WI~53706, USA",
}
@Article{int:Schultz2,
author = "H. Schultz and W. Pulleyblank",
title = "Trends in optimization",
journal = "OR/MS Today",
volume = "18",
number = "4",
year = "1991",
month = aug,
pages = "20--25",
}
@Article{int: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",
}
@TechReport{int:Setiono1,
author = "R. Setiono",
title = "An interior dual proximal--point algorithm for linear
programs",
type = "{Technical Report}",
number = "879",
year = "1989",
institution = "Dept.\ of Computer Science, University of Wisconsin",
address = "Madison, WI~53706, USA",
}
@TechReport{int:Setiono2,
author = "R. Setiono",
title = "Interior proximal--point algorithm for linear
programs",
type = "{Technical Report}",
number = "949",
year = "1990",
institution = "Dept.\ of Computer Science, University of Wisconsin",
address = "Madison, WI~53706, USA",
}
@TechReport{int:Setiono3,
author = "R. Setiono",
title = "Interior dual least 2--norm algorithm for linear
programs",
type = "{Technical Report}",
number = "950",
year = "1990",
institution = "Dept.\ of Computer Science, University of Wisconsin",
address = "Madison, WI~53706, USA",
}
@TechReport{int:Setiono4,
author = "R. Setiono",
title = "Interior dual proximal--point algorithm using
preconditioned conjugate gradient",
type = "{Technical Report}",
number = "951",
year = "1990",
institution = "Dept.\ of Computer Science, University of Wisconsin",
address = "Madison, WI~53706, USA",
}
@Article{int:Shanno1,
author = "D. F. Shanno",
title = "Computing {Karmarkar} projections quickly",
journal = "Mathematical Programming",
volume = "41",
year = "1988",
pages = "61--71",
}
@TechReport{int: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 = jan,
institution = "RUTCOR Center of Operations Research, Rutgers
University",
address = "New Brunswick, NJ~08903, USA",
bibdate = "Sat Dec 30 09:54:32 1995",
}
@TechReport{int: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 = jul,
institution = "RUTCOR Center of Operations Research, Rutgers
University",
address = "New Brunswick, NJ~08903, USA",
}
@Article{int: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{int: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{int: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 = oct,
institution = "Graduate School of Administration, University of
California",
address = "Davis, CA~95616, USA",
}
@Article{int: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{int: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 = oct,
institution = "RUTCOR Center of Operations Research, Rutgers
University",
address = "New Brunswick, NJ~08903, USA",
}
@TechReport{int: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 = oct,
institution = "RUTCOR Center of Operations Research, Rutgers
University",
address = "New Brunswick, NJ~08903, USA",
}
@TechReport{int: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 = apr,
institution = "RUTCOR Center of Operations Research, Rutgers
University",
address = "New Brunswick, NJ~08903, USA",
}
@TechReport{int: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 = oct,
institution = "RUTCOR Center of Operations Research, Rutgers
University",
address = "New Brunswick, NJ~08903, USA",
}
@TechReport{int: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, UK}",
year = "1991",
month = jan,
institution = "RUTCOR Center of Operations Research, Rutgers
University",
address = "New Brunswick, NJ~08903, USA",
}
@TechReport{int: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 = nov,
institution = "RUTCOR Center of Operations Research, Rutgers
University",
address = "New Brunswick, NJ~08903, USA",
}
@TechReport{int: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 = mar,
institution = "RUTCOR Center of Operations Research, Rutgers
University",
address = "New Brunswick, NJ~08903, USA",
}
@Article{int: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{int: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",
}
@TechReport{int:Sheu1,
author = "R. Sheu and S. C. Fang",
title = "On the relationship of interior point methods",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in
Anaheim, CA, USA}",
year = "1991",
month = nov,
institution = "Operations Research Program, North Carolina State
University",
address = "Raleigh, NC~27695, USA",
}
@Article{int: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{int:Shub1,
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{int: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 = apr,
institution = "IBM~T.~J.~Watson Research Center",
address = "Yorktown Heights, NY~10598, USA",
}
@Article{int:Siam1,
key = "Siam",
title = "New algorithm stirs interest",
journal = "SIAM News",
volume = "13",
number = "1",
year = "1985",
month = jan,
pages = "1, 17",
}
@Article{int: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",
}
@InProceedings{int:Sinha1,
author = "L. P. Sinha and B. A. Freedman and N. K. Karmarkar
and A. Puchta and K. G. Ramakrishnan",
title = "Overseas network planning---{Application} of
{Karmarkar}'s algorithm",
booktitle = "Proceedings of NETWORK~'86 Conference, Tarpon Spring,
FL, USA",
year = "1986",
month = jun,
}
@TechReport{int: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 = oct,
institution = "AT~\&~T~Bell Laboratories",
address = "Holmdel, NJ~07733, USA",
}
@InCollection{int: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",
bibdate = "Sat Dec 30 09:54:34 1995",
}
@Article{int: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{int: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, UK",
}
@InCollection{int: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",
bibdate = "Sat Dec 30 09:54:34 1995",
}
@InCollection{int: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",
bibdate = "Sat Dec 30 09:54:34 1995",
}
@TechReport{int: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 = jan,
institution = "Institut f{\"u}r Angewandte Mathematik und Statistik,
Universit{\"a}t W{\"u}rzburg",
address = "Am Hubland, D-8700 W{\"u}rzburg, Germany",
bibdate = "Sat Dec 30 09:54:34 1995",
}
@Article{int: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{int: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{int: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{int:Sonnevend8,
author = "G. Sonnevend",
title = "Applications of analytic centers for the numerical
solution of semiinfinte, 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",
bibdate = "Sat Dec 30 09:54:58 1995",
}
@TechReport{int: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",
type = "{Talk held at the First International Symposium on
Interior Point Methods for Linear Programming~: Theory
and Practice, in Scheveningen, The Netherlands}",
number = "",
year = "1990",
month = jan,
institution = "Insitut f{\"u}r Angewandte Mathematik und Statistik,
Universit{\"a}t W{\"u}rzburg",
address = "Am Hubland, D-8700 W{\"u}rzburg, Germany",
note = "To appear in {\em Mathematical Programming, Series~B,
1991}",
bibdate = "Sat Dec 30 09:54:36 1995",
}
@Article{int:Spiegel1,
key = "Spiegel",
title = "{Neuer Dampf (New power)}",
journal = "Der Spiegel",
volume = "38",
number = "49",
year = "1984",
pages = "239--240",
note = "(In German)",
}
@MastersThesis{int:Steger1,
author = "A. E. Steger",
title = "An extension of {Karmarkar}'s algorithm for bounded
linear programming problems",
year = "1985",
month = aug,
school = "Dept.\ 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",
bibdate = "Sat Dec 30 09:54:36 1995",
}
@Article{int: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{int:Stoer1,
author = "J. Stoer",
title = "{Innere--Punkte--Verfahren und ihre Komplexit{\"at}
(I}nterior point methods and their complexity)",
type = "{Talk held at the DGOR--Jahrestagung in Vienna,
Austria}",
year = "1990",
month = aug,
institution = "Institut f{\"u}r Angewandte Mathematik und Statistik,
Universit{\"a}t W{\"u}rzburg",
address = "Am Hubland, D-8700~W{\"u}rzburg, Germany",
bibdate = "Sat Dec 30 09:54:36 1995",
}
@TechReport{int: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 = jan,
institution = "Institut f{\"u}r Angewandte Mathematik und Statistik,
Universit{\"a}t W{\"u}rzburg",
address = "Am Hubland, D-8700~W{\"u}rzburg, West-Germany",
bibdate = "Sat Dec 30 09:54:37 1995",
}
@TechReport{int: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 = apr,
institution = "Graduate School of Business Administration, Harvard
University",
address = "Boston, MA~02163, USA",
}
@TechReport{int: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{int: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 = jun,
pages = "220--237",
note = "Errata in {\em SIAM Review} 33(3):461, September
1991",
}
@TechReport{int: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 = apr,
institution = "Graduate School of Business Administration, Harvard
University",
address = "Boston, MA~02163, USA",
}
@Article{int:Strang1,
author = "G. Strang",
title = "Karmarkar's algorithm in a nutshell",
journal = "SIAM News",
volume = "18",
number = "6",
year = "1985",
month = nov,
pages = "13",
}
@InBook{int: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{int: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",
}
@TechReport{int: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 = "Dept.\ of Industrial Engineering and Management
Science, Northwestern University",
address = "Evanston, IL~60208, USA",
}
@Article{int: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{int:Swart2,
author = "E. R. Swart",
title = "A modified version of the {Karmarkar} algorithm",
type = "{Research Report in Mathematics}",
number = "98",
year = "1985",
institution = "Dept.\ of Mathematics and Statistics, University of
Guelph",
address = "Guelph, Ontario~N1G~2W1, Canada",
}
@PhdThesis{int:Tachat1,
author = "D. Tachat",
title = "Methodes int{\'{e}}rieures en programmation
lin{\'{e}}aire~: {Elaboration} et mise en oeuvre de
proc{\'{e}}dures de projection exacte et
approch{\'{e}}e {English: Elaboration and performance
of exact and approximate projection procedures}",
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)",
bibdate = "Sat Dec 16 16:50:14 1995",
}
@Article{int: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{int: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{int: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 = "Dept.\ of Mathematics, National University of
Singapore",
address = "Singapore, India",
}
@InProceedings{int:Tanabe1,
author = "K. Tanabe",
title = "Complementarity--enforced centered {Newton} 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{int: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",
bibdate = "Sat Dec 30 09:54:37 1995",
}
@TechReport{int:Tanabe3,
author = "K. Tanabe",
title = "Centered {Newton} 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 = jan,
institution = "The Institute of Statistical Mathematics",
address = "4-6-7~Minami Azabu, Minatoku, Tokyo~106, Japan",
}
@TechReport{int:Tanabe4,
author = "K. Tanabe",
title = "Center flattening transformation and a centered
{Newton} 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{int: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{int:Tapia1,
author = "R. A. Tapia",
title = "Current research in numerical optimization",
journal = "SIAM News",
volume = "20",
year = "1987",
month = mar,
pages = "10--11",
}
@TechReport{int: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 = jan,
institution = "Dept.\ of Mathematical Sciences, Rice University",
address = "Houston, TX~77251, USA",
bibdate = "Sat Dec 30 09:54:37 1995",
}
@TechReport{int:Tapia3,
author = "R. A. Tapia and Y. Zhang",
title = "A fast optimal basis identification technique for
interior point linear programming methods",
type = "{Technical Report}",
number = "TR--89--01",
year = "1989",
month = apr,
institution = "Dept.\ of Mathematical Sciences, Rice University",
address = "Houston, TX~77251, USA",
note = "Revised September 1990",
}
@TechReport{int: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 = jul,
institution = "Dept.\ of Mathematical Sciences, Rice University",
address = "Houston, TX~77251, USA",
}
@Article{int: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{int: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 = "Dept.\ of Mathematical Sciences, Rice University",
address = "Houston, TX~77251, USA",
}
@Article{int: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",
}
@TechReport{int:Tapia8,
author = "R. A. Tapia and Y. Zhang and M. Saltzman and R.
Weiser",
title = "The predictor--corrector interior--point method as a
composite {Newton} method",
type = "{Technical Report}",
number = "TR~90--06",
year = "1990",
institution = "Dept.\ of Mathematical Sciences, Rice University",
address = "Houston, TX~77251, USA",
}
@Article{int:Todd1,
author = "M. J. Todd",
title = "A review of {N. Karmarkar}",
journal = "Computing Reviews",
volume = "27",
year = "1986",
month = mar,
pages = "95--96",
}
@InCollection{int: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",
bibdate = "Sat Dec 30 09:54:37 1995",
}
@Article{int: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{int: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{int:Todd5,
author = "M. J. Todd",
title = "A {Dantzig--Wolfe--like variant of K}armarkar's
interior--point linear programming algorithm",
journal = "Operations Research",
volume = "38",
year = "1990",
pages = "1006--1018",
}
@TechReport{int: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, USA",
}
@InCollection{int: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",
}
@TechReport{int:Todd8,
author = "M. J. Todd",
title = "On {Anstreicher}'s combined phase~{I} -- phase~{II}
projective algorithm for linear programming",
type = "{Technical Report}",
number = "776",
year = "1989",
institution = "School of Operations Research and Industrial
Engineering, Cornell University",
address = "Ithaca, NY~14853, USA",
note = "To appear in {\em Mathematical Programming}",
}
@InCollection{int: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{int: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{int:Todd11,
author = "M. J. Todd",
title = "Anticipated behavior of {Karmarkar}'s algorithm",
type = "{Technical Report}",
number = "879",
month = dec,
year = "1989",
institution = "School of Operations Research and Industrial
Engineering, Cornell University",
address = "Ithaca, NY~14853, USA",
}
@TechReport{int: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 = jan,
institution = "School of Operations Research and Industrial
Engineering, Cornell University",
address = "Ithaca, NY~14853, USA",
bibdate = "Sat Dec 30 09:54:38 1995",
}
@TechReport{int:Todd13,
author = "M. J. Todd",
title = "A low complexity interior point algorithm for linear
programming",
type = "{Technical Report}",
number = "903",
year = "1990",
month = apr,
institution = "School of Operations Research and Industrial
Engineering, Cornell University",
address = "Ithaca, NY~14853, USA",
note = "Revised August 1990",
}
@Article{int: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{int: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 = jan,
institution = "School of Operations Research and Industrial
Engineering, Cornell University",
address = "Ithaca, NY~14853, USA",
}
@TechReport{int:Todd16,
author = "M. J. Todd and Y. Wang",
title = "On combined phase~{I} -- phase~{II} projective
methods for linear programming",
type = "{Technical Report}",
number = "877",
year = "1989",
month = dec,
institution = "School of Operations Research and Industrial
Engineering, Cornell University",
address = "Ithaca, NY~14853, USA",
note = "To appear in {\em Algorithmica}",
}
@Article{int: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{int: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 = dec,
institution = "School of Operations Research and Industrial
Engineering, Cornell University",
address = "Ithaca, NY~14853, USA",
}
@TechReport{int:Todd19,
author = "M. J. Todd",
title = "Combining phase~{I} and phase~{II} in a potential
reduction algorithm for linear programming",
type = "{Technical Report}",
number = "907",
year = "1990",
month = jul,
institution = "School of Operations Research and Industrial
Engineering, Cornell University",
address = "Ithaca, NY~14853, USA",
}
@TechReport{int:Todd20,
author = "M. J. Todd and J. P. Vial",
title = "Todd's low--complexity algorithm is a
predictor--corrector path--following method",
type = "{Technical Report}",
number = "952",
year = "1990",
month = dec,
institution = "School of Operations Research and Industrial
Engineering, Cornell University",
address = "Ithaca, NY~14853, USA",
}
@TechReport{int: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, USA",
}
@Article{int:Todd22,
author = "M. J. Todd",
title = "Playing with interior points",
journal = "COAL Newsletter",
volume = "19",
year = "1991",
month = aug,
pages = "17--25",
}
@TechReport{int: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 = feb,
institution = "School of Operations Research and Industrial
Engineering, Cornell University",
address = "Ithaca, NY~14853, USA",
}
@TechReport{int:Todd24,
author = "M. J. Todd",
title = "Probabilistic models in linear programming",
type = "{Technical Report}",
number = "836",
year = "1989",
institution = "School of Operations Research and Industrial
Engineering, Cornell University",
address = "Ithaca, NY~14853, USA",
note = "To appear in {\em Mathematics of Operations
Research}",
}
@TechReport{int: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 = apr,
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{int:Tolla2,
author = "P. Tolla",
title = "Amelioration des performances de l'algorithme de
{Karmarkar} dans le cas de programmes lineaires a
variables bornees superieurement {(Improving the
performance of Karmarkar's algorithm in linear
programs with upper bounded variables)}",
type = "Cahier",
number = "82",
year = "1987",
month = nov,
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{int:Tolla3,
author = "P. Tolla",
title = "Optimal criterion and optimal solution accuracy test
in {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{int: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{int: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 = jul,
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{int: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",
}
@Article{int:Tomlin1,
author = "J. A. Tomlin",
title = "Experimental results with an implementation of the
projective method",
month = "Spring",
year = "1985",
}
@Article{int: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{int: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, NY, USA",
editor = "N. Megiddo",
year = "1989",
pages = "91--104",
}
@TechReport{int:Tomlin4,
author = "J. A. Tomlin and J. S. Welch",
title = "Implementing an interior point method in a
mathematical programming system~: {Part~I}",
type = "{Technical Report}",
year = "1986",
institution = "Ketron Management Science, Inc.",
address = "Mountain View, CA~94040, USA",
}
@TechReport{int:Tomlin5,
author = "J. A. Tomlin and J. S. Welch",
title = "Implementing an interior point method in a
mathematical programming system~: {Part~II}",
type = "{Technical Report}",
year = "1987",
institution = "Ketron Management Science, Inc.",
address = "Mountain View, CA~94040, USA",
}
@InProceedings{int: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{int: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{int: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{int: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{int:Tone3,
author = "K. Tone",
title = "Linear programming and {Karmarkar} patents",
journal = "Systems, Control and Information",
volume = "34",
number = "5",
year = "1990",
month = apr,
pages = "209--215",
note = "(In Japanese)",
}
@TechReport{int: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",
}
@TechReport{int:Tone5,
author = "K. Tone",
title = "An active--set strategy in interior point method for
linear programming",
type = "{Working Paper}",
year = "1991",
institution = "Graduate School for Policy Science, Saitama
University",
address = "Urawa, Saitama~338, Japan",
}
@TechReport{int: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{int:Torabi2,
author = "M. Torabi",
title = "Decomposed block {Cholesky} factorization in the
{Karmarkar} algorithm.~{Solving} a class of super
large {LP} problems",
journal = "Computers and Mathematics with Applications",
volume = "20",
number = "2",
year = "1990",
pages = "1--7",
}
@TechReport{int: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 = oct,
institution = "School of Industrial and Systems Engineering, Georgia
Technology Institute",
address = "Atlanta, GA~30322-0205, USA",
}
@Article{int:Tovey2,
author = "C. A. Tovey",
title = "The challenge~: {Teaching K}armarkar's algorithm",
journal = "OR/MS Today",
volume = "15",
number = "2",
year = "1988",
month = apr,
pages = "18--19",
}
@TechReport{int: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 = jul,
institution = "School of Industrial Engineering, University of
Oklahoma",
address = "Norman, OK~73019, USA",
}
@PhdThesis{int:Trafalis2,
author = "T. B. Trafalis",
title = "Efficient faces of a polytope~: {Interior} methods in
multiple objective optimization",
year = "1989",
month = aug,
school = "Dept.\ of Mathematics and Computer Science, School of
Industrial Engineering, Purdue University",
address = "West Lafayette, IN~47907, USA",
}
@TechReport{int: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 = nov,
institution = "School of Industrial Engineering, University of
Oklahoma",
address = "Norman, OK~73019, USA",
}
@Article{int: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",
}
@TechReport{int:Tseng2,
author = "P. Tseng",
title = "Global linear convergence of a path following
algorithm for some variational inequality problems",
type = "{Working Paper}",
year = "1990",
institution = "Dept.\ of Mathematics, GN--50, University of
Washington",
address = "Seattle, WA, USA",
}
@TechReport{int:Tseng3,
author = "P. Tseng and Z. Q. Luo",
title = "On the convergence of the affine--scaling algorithm",
type = "{Technical Report}",
number = "CICS--P--169",
year = "1989",
institution = "Center for Intelligent Control Systems, Massachusetts
Institute of Technology",
address = "Cambridge, MA~02139, USA",
}
@TechReport{int:Tsuchiya1,
author = "T. Tsuchiya",
title = "Global convergence of the affine--scaling methods for
degenerate linear programming problems",
type = "{Research Memorandum}",
number = "373",
year = "1989",
institution = "The Institute of Statistical Mathematics",
address = "4-6-7 Minami-Azabu, Minato-ku, Tokyo~106, Japan",
note = "Revised January 1991. To appear in {\em Mathematical
Programming, Series~B, 1991}",
}
@Article{int: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{int:Tsuchiya3,
author = "T. Tsuchiya",
title = "Degenerate linear programming problems and the affine
scaling method",
journal = "Systems, Control and Information",
volume = "34",
number = "5",
year = "1990",
month = apr,
pages = "216--222",
note = "(In Japanese)",
}
@Article{int: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{int: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)",
}
@TechReport{int:Tsuchiya6,
author = "T. Tsuchiya",
title = "Global convergence property of the affine scaling
method for primal degenerate linear programming
problems",
type = "{Research Memorandum}",
number = "367",
year = "1989",
month = aug,
institution = "The Institute of Statistical Mathematics",
address = "4-6-7~Minami-Azabu, Minato-ku, Tokyo~106, Japan",
note = "Revised September 1990. To appear in {\em Mathematics
of Operations Research}",
}
@TechReport{int: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",
}
@TechReport{int:Tsuchiya8,
author = "T. Tsuchiya",
title = "Quadratic convergence of {Iri and Imai's} method for
degenerate linear programming problems",
type = "{Research Memorandum}",
number = "412",
year = "1991",
institution = "The Institute of Statistical Mathematics",
address = "4-6-7~Minami-Azabu, Minato-ku, Tokyo~106, Japan",
}
@PhdThesis{int:Tsuchiya9,
author = "T. Tsuchiya",
title = "A study on global and local convergence of interior
point algorithms for linear programming",
year = "1991",
school = "Faculty of Engineering, The University of Tokyo",
address = "Tokyo, Japan",
note = "(In Japanese)",
}
@TechReport{int: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 = "Dept.\ of Mathematical Sciences, Rice University",
address = "Houston, TX~77251, USA",
}
@Article{int: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{int: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{int: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, NY, USA",
editor = "N. Megiddo",
year = "1989",
pages = "79--90",
}
@TechReport{int:Vaidya3,
author = "P. M. Vaidya",
title = "A new algorithm for minimizing a convex function over
convex sets",
type = "{Talk held at the SIAM Annual Meeting in Chicago, IL,
USA}",
year = "1990",
month = jul,
institution = "AT~\&~T~Bell Laboratories",
address = "Murray Hill, NJ~07974, USA",
}
@Article{int: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}, pages
29--38, 1987",
}
@InCollection{int:Vaidya5,
author = "P. M. Vaidya",
title = "Reducing the parallel complexity of certain linear
programming problems",
booktitle = "Proceedings of the 31st 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{int: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{int: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",
}
@TechReport{int: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{int: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{int: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{int: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{int: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 = oct,
institution = "AT~\&~T Bell Laboratories",
address = "Murray Hill, NJ~07974, USA",
}
@InCollection{int: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{int: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{int: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 = jul,
institution = "AT~\&~T Bell Laboratories",
address = "10~Knob Hill Road, Morganville, NJ~07751, USA",
}
@Article{int: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",
}
@TechReport{int:Vanderbei10,
author = "R. J. Vanderbei",
title = "Symmetric quasi--definite matrices",
type = "{Technical Report}",
number = "SOL~91--10",
year = "1991",
institution = "Dept.\ of Civil Engineering and Operations Research,
Princeton University",
address = "Princeton, NJ~08544, USA",
}
@TechReport{int:Vanderbei11,
author = "R. J. Vanderbei and T. J. Carpenter",
title = "Symmetric indefinite systems for interior point
methods",
type = "{Technical Report}",
number = "SOR~91--7",
year = "1991",
institution = "Dept.\ of Civil Engineering and Operations Research,
Princeton University",
address = "Princeton, NJ~08544, USA",
}
@TechReport{int:Vanderbei12,
author = "R. J. Vanderbei",
title = "{ALPO~: Another linear program solver}",
type = "{Manuscript}",
year = "1990",
institution = "AT~\&~T Bell Laboratories",
address = "Murray Hill, NJ~07974, USA",
note = "Revised May 1991, Dept.\ of Civil Engineering and
Operations Research, Princeton University, Princeton,
NJ~08544, USA",
}
@TechReport{int: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",
}
@TechReport{int:Vanderbei14,
author = "R. J. Vanderbei",
title = "{A brief description of ALPO}",
type = "{Technical Report}",
year = "1990",
institution = "AT~\&~T Bell Laboratories",
address = "Murray Hill, NJ~07974, USA",
note = "To appear in {\em Operations Research Letters, 1991}",
}
@TechReport{int:Vanderbei15,
author = "R. J. Vanderbei",
title = "Dense columns and interior--point methods for {LP}",
type = "{Manuscript}",
year = "1991",
institution = "Dept.\ of Civil Engineering and Operations Research,
Princeton University",
address = "Princeton, NJ~08544, USA",
}
@InProceedings{int: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{int: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 = apr,
institution = "Faculty of Engineering, Dept.\ of Electrical
Engineering, University of Waterloo",
address = "Waterloo, Ontario~N2L~3G1, Canada",
}
@Article{int: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 = feb,
pages = "193--203",
}
@Article{int:Venkaiah1,
author = "V. C. Venkaiah",
title = "An efficient algorithm for linear programming",
journal = "Proceedings of the Indian Academy of Sciences,
Mathematical Sciences",
volume = "100",
year = "1990",
pages = "205--301",
}
@InCollection{int:Vial1,
author = "J. P. 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, NY, USA",
editor = "N. Megiddo",
year = "1989",
pages = "65--78",
}
@Article{int:Vial2,
author = "J. P. Vial",
title = "A Fully Polynomial-Time Projective Method",
journal = "Operations Research Letters",
volume = "7",
year = "1988",
pages = "15--19",
}
@InCollection{int:Vial3,
author = "J. P. 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",
bibdate = "Sat Dec 30 09:54:38 1995",
}
@InCollection{int:Vial4,
author = "J. P. 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",
bibdate = "Sat Dec 30 09:54:38 1995",
}
@InCollection{int:Vorst1,
author = "{J. G. G. van de} 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",
}
@TechReport{int: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 = jul,
institution = "Energoinvest--Sou",
address = "Tvornicka~3, YU-71000~Sarajevo, Yugoslavia",
}
@InProceedings{int:Wanka1,
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",
bibdate = "Sat Dec 30 09:54:38 1995",
}
@Article{int:Wei1,
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{int: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{int: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)",
}
@InBook{int: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{int: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{int:White1,
author = "D. J. White",
title = "Linear programming and {Huard}'s method of centres",
type = "{Working Paper}",
year = "1989",
institution = "Universities of Manchester and Virginia",
address = "Manchester, United Kingdom",
}
@TechReport{int: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 = nov,
institution = "Dept.\ of Management Science, California State
University",
address = "Northridge, Los Angeles, CA~90024, USA",
}
@TechReport{int: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, UK}",
year = "1991",
month = jan,
institution = "Loughborough University",
address = "Loughborough, UK",
}
@InCollection{int: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{int: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{int:Wolkowicz1,
author = "H. Wolkowicz and A. {Ben--Israel}",
title = "A volume and constraint reducing algorithm for linear
programming",
type = "{Technical Report}",
year = "1986",
institution = "Dept.\ of Combinatorics and Optimization, University
of Waterloo",
address = "Waterloo, Ontario~N2L~3G1, Canada",
}
@TechReport{int: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 = oct,
institution = "AT~\&~T~Bell Laboratories",
address = "Murray Hill, NJ~07974, USA",
}
@TechReport{int: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 = jul,
institution = "AT~\&~T~Bell Laboratories",
address = "Murray Hill, NJ~07974, USA",
}
@TechReport{int:Wright3,
author = "S. J. Wright",
title = "An interior point algorithm for linearly constrained
optimization",
type = "{Technical Report}",
number = "MCS--P162--0790",
year = "1990",
month = jul,
institution = "Mathematical and Computer Science Division, Argonne
National Laboratory",
address = "Argonne, IL~60439, USA",
}
@TechReport{int: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 = oct,
institution = "AT~\&~T~Bell Laboratories",
address = "Murray Hill, NJ~07974, USA",
}
@TechReport{int: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 = sep,
institution = "AT~\&~T~Bell Laboratories",
address = "Murray Hill, NJ~07974, USA",
}
@Article{int:Wright6,
author = "M. H. Wright",
title = "A brief history of linear programming",
journal = "SIAM News",
volume = "18",
number = "3",
year = "1985",
month = nov,
pages = "4",
}
@TechReport{int:Wright7,
author = "M. H. Wright",
title = "Interior methods for constrained optimization",
type = "{Numerical Analysis Manuscript}",
number = "91--10",
year = "1991",
month = nov,
institution = "AT~\&~T~Bell Laboratories",
address = "Murray Hill, NJ~07974, USA",
}
@TechReport{int:Xiao1,
author = "D. Xiao",
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 = oct,
institution = "Dept.\ of Industrial Engineering and Operations
Research, Columbia University",
address = "New York, NY~10027, USA",
}
@TechReport{int:Xiao2,
author = "D. Xiao 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 = "Dept.\ of Industrial Engineering and Operations
Research, Columbia University",
address = "New York, NY~10027, USA",
}
@TechReport{int:Xiao3,
author = "D. Xiao 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 = oct,
institution = "Dept.\ of Industrial Engineering and Operations
Research, Columbia University",
address = "New York, NY~10027, USA",
}
@TechReport{int:Xiao4,
author = "D. Xiao 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 = nov,
institution = "Dept.\ of Industrial Engineering and Operations
Research, Columbia University",
address = "New York, NY~10027, USA",
}
@TechReport{int: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 = "Tokyo, Japan",
}
@TechReport{int: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{int: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",
}
@TechReport{int:Ye1,
author = "Y. Ye",
title = "A large group of projections for linear programming",
type = "{Working Paper}",
year = "1985",
institution = "Dept.\ of Engineering Economic Systems, Stanford
University",
address = "Stanford, CA~94305, USA",
}
@TechReport{int:Ye2,
author = "Y. Ye",
title = "Cutting current--objective method in projective
algorithm for linear programming",
type = "{Working Paper}",
year = "1985",
month = feb,
institution = "Dept.\ of Engineering Economic Systems, Stanford
University",
address = "Stanford, CA~94305, USA",
}
@TechReport{int:Ye3,
author = "Y. Ye",
title = "Cutting--objective and scaling methods---a polynomial
algorithm for linear programming",
type = "{Working Paper}",
year = "1985",
institution = "Dept.\ of Engineering Economic Systems, Stanford
University",
address = "Stanford, CA~94305, USA",
note = "Submitted to {\em Mathematical Programming}",
}
@TechReport{int: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 = "Dept.\ of Engineering Economic Systems, Stanford
University",
address = "Stanford, CA~94305, USA",
}
@PhdThesis{int:Ye5,
author = "Y. Ye",
title = "Interior algorithms for linear, quadratic, and
linearly constrained convex programming",
year = "1987",
school = "Dept.\ of Engineering Economic Systems, Stanford
University",
address = "Stanford, CA~94305, USA",
}
@TechReport{int:Ye6,
author = "Y. Ye",
title = "Dual approach of {Karmarkar}'s algorithm and the
ellipsoid method",
type = "{Working Paper}",
year = "1987",
institution = "Dept.\ of Engineering Economic Systems, Stanford
University",
address = "Stanford, CA~94305, USA",
}
@TechReport{int:Ye7,
author = "Y. Ye",
title = "Further development on the interior algorithm for
convex quadratic programming",
type = "{Working Paper}",
year = "1987",
institution = "Dept.\ of Engineering Economic Systems, Stanford
University",
address = "Stanford, CA~94305, USA",
}
@Article{int:Ye8,
author = "Y. Ye",
title = "Karmarkar's algorithm and the ellipsoid method",
journal = "Operations Research Letters",
volume = "6",
year = "1987",
pages = "177--182",
}
@Article{int: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{int: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{int:Ye11,
author = "Y. Ye",
title = "A class of potential functions for linear
programming",
type = "Management Science Working Paper",
number = "88--13",
year = "1988",
institution = "Dept.\ of Management Science, University of Iowa",
address = "Iowa City, IA~52242, USA",
}
@TechReport{int: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 = oct,
institution = "Dept.\ of Management Science, University of Iowa",
address = "Iowa City, IA~52242, USA",
}
@TechReport{int: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 = "Dept.\ of Management Science, University of Iowa",
address = "Iowa City, IA~52242, USA",
}
@InCollection{int: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, NY, USA",
editor = "N. Megiddo",
year = "1989",
pages = "49--64",
}
@TechReport{int:Ye15,
author = "Y. Ye",
title = "Comparative analysis of affine scaling algorithms
based on simplifying assumptions",
type = "{Technical Report}",
year = "1990",
month = jan,
institution = "Dept.\ of Management Science, University of Iowa",
address = "Iowa City, IA~52242, USA",
note = "Revised November 1990. To appear in {\em Mathematical
Programming, Series~B, 1991}",
}
@Article{int:Ye16,
author = "Y. Ye",
title = "A `build-down' scheme for linear programming",
journal = "Mathematical Programming",
volume = "46",
year = "1990",
pages = "61--72",
}
@Article{int: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{int: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{int:Ye19,
author = "Y. Ye",
title = "Complexity analysis on {Karmarkar}'s algorithm",
type = "{Manuscript}",
year = "1990",
institution = "Dept.\ of Management Science, University of Iowa",
address = "Iowa City, IA~52242, USA",
}
@Article{int: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{int: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{int: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{int:Ye23,
author = "Y. Ye and E. Tse",
title = "A polynomial--time algorithm for convex quadratic
programming",
type = "{Working Paper}",
year = "1986",
institution = "Dept.\ of Engineering Economic Systems, Stanford
University",
address = "Stanford, CA~94305, USA",
}
@Article{int: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",
}
@TechReport{int:Ye25,
author = "Y. Ye",
title = "A further result on the potential reduction algorithm
for the {$P$}--matrix linear complementarity problem",
type = "{Working Paper}",
year = "1988",
institution = "Dept.\ of Management Science, University of Iowa",
address = "Iowa City, IA~52242, USA",
}
@Article{int:Ye26,
author = "Y. Ye",
title = "Interior point algorithms for global optimization",
journal = "Annals of Operations Research",
volume = "25",
year = "1990",
pages = "59--74",
}
@TechReport{int:Ye27,
author = "Y. Ye",
title = "Interior point algorithms for quadratic programming",
type = "{Working Paper Series}",
number = "89--29",
year = "1989",
institution = "Dept.\ of Management Science, University of Iowa",
address = "Iowa City, IA~52242, USA",
note = "To appear in S. Kumar, editor, {\em Recent
Developments in Mathematical Programming}, Gordon~\&
Beach Scientific Publishers, 1991",
}
@TechReport{int:Ye28,
author = "Y. Ye",
title = "Line searches in potential reduction algorithm for
linear programming",
type = "Manuscript",
year = "1989",
institution = "Dept.\ of Management Science, University of Iowa",
address = "Iowa City, IA~52242, USA",
}
@TechReport{int:Ye29,
author = "Y. Ye",
title = "On an affine scaling algorithm for nonconvex
quadratic programming",
type = "{Technical Report}",
year = "1988",
month = apr,
institution = "Dept.\ of Management Science, University of Iowa",
address = "Iowa City, IA~52242, USA",
note = "Revised July 1989",
}
@TechReport{int:Ye30,
author = "Y. Ye",
title = "A fully polynomial--time approximation algorithm for
computing a stationary point of the generalized linear
complementarity problem",
type = "{Talk held at the ORSA/TIMS Joint National Meeting in
Nashville, Tennessee, USA}",
year = "1991",
month = may,
institution = "Dept.\ of Management Science, University of Iowa",
address = "Iowa City, IA~52242, USA",
}
@TechReport{int:Ye31,
author = "Y. Ye",
title = "Further developments in potential reduction
algorithm",
type = "{Technical Report}",
year = "1989",
institution = "Dept.\ of Management Science, University of Iowa",
address = "Iowa City, IA~52242, USA",
}
@TechReport{int:Ye32,
author = "Y. Ye",
title = "Bimatrix equilibrium points and potential functions",
type = "{Technical Report}",
year = "1988",
institution = "Dept.\ of Management Science, University of Iowa",
address = "Iowa City, IA~52242, USA",
}
@TechReport{int:Ye33,
author = "Y. Ye",
title = "A combinatorial property of analytic centers of
polytopes",
type = "{Technical Report}",
year = "1989",
institution = "Dept.\ of Management Science, University of Iowa",
address = "Iowa City, IA~52242, USA",
}
@TechReport{int:Ye34,
author = "Y. Ye",
title = "Anticipated behavior of affine scaling algorithms for
linear programming",
type = "{Technical Report}",
year = "1990",
institution = "Dept.\ of Management Science, University of Iowa",
address = "Iowa City, IA~52242, USA",
}
@TechReport{int:Ye35,
author = "Y. Ye",
title = "On the finite convergence of interior--point
algorithms for linear programming",
type = "{Technical Report}",
number = "91--05",
year = "1991",
institution = "Dept.\ of Management Science, University of Iowa",
address = "Iowa City, IA~52242, USA",
}
@TechReport{int: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 = "Dept.\ of Management Science, University of Iowa",
address = "Iowa City, IA~52242, USA",
}
@TechReport{int: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 = "Dept.\ of Management Science, University of Iowa",
address = "Iowa City, IA~52242, USA",
}
@TechReport{int: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{int: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{int:Ye40,
author = "Y. Ye",
title = "A `build-down' simplex --- {Karmarkar} method for
linear programming",
type = "{Technical Report}",
year = "1987",
institution = "Dept.\ of Engineering Economic Systems, Stanford
University",
address = "Stanford, CA~94305, USA",
}
@TechReport{int:Ye41,
author = "Y. Ye",
title = "A potential reduction algorithm allowing column
generation",
type = "{Working Paper}",
year = "1989",
institution = "Dept.\ of Management Science, University of Iowa",
address = "Iowa City, IA~52242, USA",
}
@TechReport{int: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",
type = "{Working Paper}",
year = "1990",
institution = "Dept.\ of Management Science, University of Iowa",
address = "Iowa City, IA~52242, USA",
}
@TechReport{int: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",
type = "{Technical Report}",
number = "TR--91--26",
year = "1991",
month = aug,
institution = "Dept.\ of Mathematical Sciences, Rice University",
address = "Houston, TX~77251, USA",
}
@TechReport{int: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 = "Dept.\ of Mathematical Sciences, Rice University",
address = "Houston, TX~77251, USA",
}
@TechReport{int:Ye45,
author = "Y. Ye",
title = "Toward probabilistic analysis of interior--point
algorithms for linear programming",
type = "{Working Paper Series}",
number = "91--13",
year = "1991",
institution = "Dept.\ of Management Science, University of Iowa",
address = "Iowa City, IA~52242, USA",
}
@TechReport{int: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 = "Dept.\ of Engineering Economic Systems, Stanford
University",
address = "Stanford, CA~94305, USA",
}
@TechReport{int: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 = nov,
institution = "Dept.\ of Management Science, University of Iowa",
address = "Iowa City, IA~52242, USA",
}
@TechReport{int:Ye48,
author = "Y. Ye",
title = "The potential algorithm for linear complementarity
problems",
type = "{Technical Report}",
year = "1998",
institution = "Dept.\ of Management Science, University of Iowa",
address = "Iowa City, IA~52242, USA",
}
@PhdThesis{int:Yeh1,
author = "Q. J. Yeh",
title = "A reduced dual affine scaling algorithm for solving
assignment and transportation problems",
year = "1989",
school = "Dept.\ of Industrial Engineering and Operations
Research, Columbia University",
address = "New York, NY~10027, USA",
}
@Article{int: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",
}
@TechReport{int: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",
type = "{Technical Report}",
number = "TR~90--6",
year = "1990",
month = jan,
institution = "Dept.\ of Mathematical Sciences, Rice University",
address = "Houston, TX~77251, USA",
}
@TechReport{int: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",
type = "{Technical Report}",
number = "TR~90--9",
year = "1990",
month = mar,
institution = "Dept.\ of Mathematical Sciences, Rice University",
address = "Houston, TX~77251, USA",
}
@TechReport{int: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 = mar,
institution = "Dept.\ of Mathematical Sciences, Rice University",
address = "Houston, TX~77251, USA",
}
@TechReport{int: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",
}
@TechReport{int: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 = "Dept.\ of Mathematics \& Statistics, University of
Maryland Baltimore County",
address = "Baltimore, MD~21228, USA",
}
@Article{int: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{int: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 = "Dept.\ of Mathematical Sciences, Rice University",
address = "Houston, TX~77251, USA",
}
@TechReport{int:Zhao1,
author = "G. Zhao and J. Stoer",
title = "Estimating the complexity of path following methods
for solving linear programs by curvature integrals",
type = "{Technical Report}",
number = "225",
year = "1990",
institution = "Institut f{\"u}r Angewandte Mathematik und Statistik,
Universit{\"a}t W{\"u}rzburg",
address = "Am Hubland, D-8700~W{\"u}rzburg, Germany",
bibdate = "Sat Dec 30 09:54:40 1995",
}
@Article{int: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{int: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{int: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 = oct,
institution = "College of Business Administration, University of
Iowa",
address = "Iowa City, IA~52240, USA",
}
@TechReport{int:Zhu2,
author = "J. Zhu",
title = "A path following algorithm for a class of convex
programming problems",
type = "{Working Paper Series}",
number = "90--14",
year = "1990",
institution = "College of Business Administration, University of
Iowa",
address = "Iowa City, IA~52240, USA",
}
@TechReport{int:Zikan1,
author = "K. Zikan and R. W. Cottle",
title = "The box method for linear programming, part~{I~:
B}asic theory",
type = "{Technical Report}",
year = "1987",
institution = "Systems Optimization Laboratory, Dept.\ of Operations
Research, Stanford University",
address = "Stanford, CA~94305-4022, USA",
}
@TechReport{int:Zikan2,
author = "K. Zikan and R. W. Cottle",
title = "The box method for linear programming, part~{II~:
T}reatment of problems in standard form with
explicitly bounded variables",
type = "{Technical Report}",
year = "1987",
institution = "Systems Optimization Laboratory, Dept.\ of Operations
Research, Stanford University",
address = "Stanford, CA~94305-4022, USA",
}
@TechReport{int: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 = apr,
institution = "Systems Optimization Laboratory, Dept.\ of Operations
Research, Stanford University",
address = "Stanford, CA~94305-4022, USA",
}
@InCollection{int: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",
bibdate = "Sat Dec 30 09:54:40 1995",
}
@TechReport{int:Zimmermann2,
author = "U. Zimmermann",
title = "Search directions for projective methods",
type = "{Technical Report}",
year = "1989",
month = feb,
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{int: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{int: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 = aug,
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",
bibdate = "Sat Dec 30 09:54:40 1995",
}