- Today's Editor:
- Cleve Moler
- The MathWorks, Inc.
- moler@mathworks.com

- Summary: Archimedes Was Not an Idiot
- Gaussian Elimination with Complete Pivoting
- JMSL Numerical Library for Java
- New Book, Numerical Mathematics and Advanced Applications
- Workshop in College Park on Women of Applied Mathematics
- Workshop in Manchester on New Frontiers Computational Mathematics
- Workshop in Leipzig on Multigrid and Hierarchic Solution Techniques
- Conference in Hong Kong on Parallel Computing
- SCICOMP Meeting in Minneapolis
- Congress in Belgium on Computational and Applied Mathematics
- Nominations for Director of The Fields Institute
- Faculty Position at the University of Bielefeld
- Workshop in San Diego on Mimetic Discretizations
- Contents, Numerical Linear Algebra
- Contents, IMA Journal of Numerical Analysis
- Contents, Linear Algebra and its Applications
- Contents, Computational Statistics & Data Analysis
- Contents, Computational Methods in Applied Mathematics
- Contents, Journal of Approximation Theory
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-------------------------------------------------------

From: Dirk Laurie <dpl@sun.ac.za>

Date: Fri, 20 Jun 2003 17:18:41 +0200

**Subject: Summary: Archimedes Was Not an Idiot**

Several NA-netters wrote in. I'm not mentioning names because the

tone was not always friendly. I apologize for using nasty words like

"slander". To put the record straight, Henrici is just simply one

of my heroes, and Acton is a writer whose attitude towards computing I

share and whose style I enjoy.

The history of the unstable recursion (which was clearly invented as

a demonstration to students and never proposed as a serious algorithm)

can be traced back this far:

1. It is Problem 1-2 in the 1989 book "Numerical Methods and Software"

by David Kahaner, Cleve Moler and Stephen Nash, given with the

attribution "This problem was suggested by Alan Cline". (Although

the book is later than Henrici's, it does not cite Henrici at all.)

The technique is attributed to Archimedes with the erroneous

statement that Archimedes started from a square (it should be a

hexagon). It is correctly stated that Archimedes went as far as

a 96-sided polygon by a process of doubling the number of sides,

but how he did it, is not given.

2. Alan Cline comments: "I know nothing of the history of this method,

I'm afraid. Actually Roland Sweet mentioned the iteration to me

back in 1970 and I do not know what his source was."

Two more cases where the unstable recursion is, if not actually attributed

to Archimedes, at least not clearly distinguished from his work, have

been brought to light. In both cases, I have great admiration for the

work of the respective authors -- I just wish they had treated Archimedes

a little more fairly.

In "Numerical Mathematics: A Laboratory Approach" by Shlomo Breuer and

Gideon Zwas (1993), all five pages of Section 5.2, called "The method

of Archimedes", is devoted to the unstable recursion, starting from

a hexagon. Apart from the phrase "a variant of", there is nothing to

tell us that this is not what Archimedes did. In Section 5.3, devoted

to a short discussion of the instability, the authors admit "It goes

without saying that the Archimedean method cannot be blamed for the

loss of accuracy." and refer the reader to another book where a stable

formula is derived. In total these two sections use the name Archimedes

(or Archimedean) ten times without ever giving Archimedes's own algorithm.

In the well-known website www.mathpages.com, the article "Machin's Merit"

<http://www.mathpages.com/home/kmath373.htm> gives a slightly less

reprehensible but still unstable formula for t_k = tan(pi/2^(2+k)):

t_k = (-1 + sqrt(1+t_{k-1}^2))/t_{k-1}, t_0 = 1

saying "this is the same basic approach that Archimedes took", without

mentioning that the recursion is unstable, but giving a short summary

of what Archimedes actually did and, invaluably, a link to another

article <http://www.mathpages.com/home/kmath425/kmath425.htm> that

does give the correct algorithm and more.

On a still more positive note: the full story is well told in a highly

accessible reference.

G. M. Phillips, Archimedes The Numerical Analyst,

American Mathematical Monthly 88 (March 1981) pp. 165-169.

And if your library has Heath's "Works of Archimedes", the section on

the quadrature of the circle is well worth a read. To see Archimedes

come up with inequalities like

sqrt(5472132+1/6)/153 < (1009+1/6)/66

is just awesome. It demonstrates that the popular impression, as one

correspondent wrote, that "the Greeks were good with geometry but not

with numbers" certainly is not true in the case of Archimedes. Remember,

all this was done 1400 years before Europe learnt basic arithmetic via

Fibonacci from the Arabs!

Thanks for several stimulating e-mails -- even the unfriendly ones

qualify for that epithet!

Dirk Laurie

------------------------------

From: Nils Wagner <nwagner@mecha.uni-stuttgart.de>

Date: Fri, 20 Jun 2003 09:04:23 +0200

**Subject: Gaussian Elimination with Complete Pivoting**

I am looking for reliable Fortran routines that perform Gaussian

elimination with complete pivoting.

Any hints would be appreciated.

Thanks in advance,

Nils Wagner

------------------------------

From: Fred Doolittle <fdoolittle@vni.com>

Date: Tue, 17 Jun 2003 16:24:51 -0600

**Subject: JMSL Numerical Library for Java**

Dear Colleagues,

Visual Numerics, Inc. is pleased to announce the availability of the

JMSL(TM) Numerical Library, Version 2.5. The JMSL Numerical Library

combines mathematical, statistical, and financial numerical analysis

capability from the IMSL(TM) libraries with charting for the development of

Java(TM) applications.

The JMSL library extends the Java platform by providing for the availability

of complex data types and complex number operations, such as abs, sqrt,

trig. functions, and conversions, for example. The library provides

functionality in areas such as matrix manipulation, linear algebra,

eigensystem analysis, quadrature, nonlinear equations, transforms,

optimization, cumulative distribution functions, regression, analysis of

variance, time series and forecasting, and classification, among others.

Version 2.5 of the JMSL Numerical Library adds algorithms for more advanced

optimization, classification for data mining, additional statistical

analysis, time series correlations, more advanced interpolation and

approximation, and new chart types. The JMSL Library V. 2.5 also adds a new

JMSL Application Quick-Start pack that provides working, documented code

examples that can be used in applications.

For general information on the JMSL Library, including links to the Function

Catalog and the API, please visit:

http://www.vni.com/products/imsl/jmsl.html

Best Regards,

Fred Doolittle

fdoolittle@vni.com

------------------------------

From: Bonadei Francesca <bonadei@springer.it>

Date: Sun, 15 Jun 2003 09:29:38 +0200

**Subject: New Book, Numerical Mathematics and Advanced Applications**

Brezzi, F., Universit=E0 di Pavia, Italy; Buffa, A., Universit=E0 di Pavia,

Italy; Corsaro, S., Universit=E0 di Napoli, Italy; Murli, A., Universitdi

Napoli, Italy (Eds.) Numerical Mathematics and Advanced Applications

Proceedings of ENUMATH 2001, the 4th European Conference on Numerical

Mathematics and Advanced Applications, Ischia, July 2001

2003 XXIV, 996 p. Hardcover

88-470-0180-3

Recommended Retail Price: EUR 98.95 *

This book can be an invaluable instrument for overviewing the latest and

newest issues in mathematical aspects of scientific computing, discovering

new applications and the most recent developments in the old ones. Topics

include applications like fluid dynamics, electromagnetism, structural

mechanics, kinetic models, free boundary problems, and methodologies like a

posteriori estimates, adaptivity, discontinuous Galerkin methods, domain

decomposition techniques, and numerical linear algebra. ENUMATH Conferences

provide a forum for discussing recent aspects of Numerical Mathematics,

they convene leading experts and young scientists with a special emphasis

on contributions from Europe. Readers will get an insight into the state of

the art of Numerical Mathematics and, more generally, into the field of

Advanced Applications.

Keywords: Applied Mathematics, Numerical, Numerical Mathematics

Contents: Flow problems.- Electromagnetic problems.- Elasticity and

structures.- Numerical problems in finance.- Numerical methods for kinetic

equations.- Singular free boundary problems.- Other applications.- A

posteriori estimates and adaptivity.- Discontinuous Galerkin finite element

methods.- Domain decomposition methods.- ODE, IDE, and related problems.-

Numerical linear algebra.

Dr. Francesca Bonadei

Springer-Verlag Italia

------------------------------

From: Tammy Kolda <tgkolda@sandia.gov>

Date: Tue, 17 Jun 2003 20:26:41 -0700

**Subject: Workshop in College Park on Women of Applied Mathematics**

Workshop Announcement & Call for Applications

WOMEN OF APPLIED MATHEMATICS: RESEARCH AND LEADERSHIP

Application Due Date is July 1, 2003

A workshop on Women of Applied Mathematics: Research and Leadership will

be held October 8-10, 2003 at the University of Maryland at College

Park. The workshop, consisting of research symposia and career

development panel discussions, will provide a technical and professional

forum for ten senior women and twenty-five early-career women (approx.

5-12 years post Ph.D.) in applied mathematics.

The workshop has two objectives:

* To provide advice and guidance to women who are a few years past

the postdoctoral stage and are now facing new challenges as they

transition to positions beyond entry-level.

* To provide networking among applied mathematicians who have

become, or are striving to become, leaders in their fields.

The following senior participants have committed to participate.

* Marsha Berger, Courant Institute

* Lisa Fauci, Tulane Univ.

* Maria Klawe, Princeton

* Deborah Lockhart, National Science Foundation

* Joyce McLaughlin, Rensselaer Polytechnic Institute

* Linda Petzold, Univ. California, Santa Barbara

* Cynthia Phillips, Sandia National Labs

* Dianne O'Leary, Univ. Maryland

* Mary Wheeler, Univ. Texas

* Margaret Wright, Courant Institute

We are soliciting applications from early-career women in applied

mathematics to attend the workshop. Participants will receive travel

expenses. After the workshop, early-career participants are expected to

lead an activity promoting women in mathematics and submit a report

detailing that activity. Early-career is roughly as several years past

the postdoctoral stage, at the point where one is nearing or just past

promotion and facing an increase in leadership responsibilities (e.g.,

leading research teams, being PI or co-PI on large proposals, and/or

pursuing opportunities in management or administration). Roughly

speaking, applicants in this category would be 5-12 years past the Ph.D.

Application instructions are available on the web site listed below, and

applications received by July 1, 2003 will receive full consideration.

Web site: http://csmr.ca.sandia.gov/~tgkolda/workshop2003/

This workshop is organized by Dianne P. O'Leary (University of Maryland)

and Tamara G. Kolda (Sandia National Labs). (Pending) Funding has been

generously provided by the Mathematical, Information, and Computational

Sciences (MICS) program in the Office of Science at the U.S. Department

of Energy. The Computer Science Department of the University of Maryland

at College Park will provide facilities for this workshop.

Please address any questions to Tamara Kolda (tgkolda@sandia.gov) or

Dianne O'Leary (oleary@cs.umd.edu).

------------------------------

From: Nick Higham <higham@maths.man.ac.uk>

Date: Fri, 20 Jun 2003 08:47:42 +0100

**Subject: Workshop in Manchester on New Frontiers Computational Mathematics**

First announcement

New Frontiers in Computational Mathematics

Saturday January 10 - Sunday January 11, 2004

Chancellors Hotel and Conference Centre, University of Manchester

This 2-day workshop focuses on cutting edge research areas of

computational mathematics that are of growing importance and

interdisciplinary in nature. The aims are to bring together interested

researchers for fruitful discussions of current challenges and future

directions in computational mathematics, encompassing both

mathematicians and computational scientists who make strong use of

mathematics. There is no registration fee.

Attendance is limited to at most 80 persons.

The four highlighted areas, and associated keynote speakers, are

- High Performance Computing Trends, the Grid, and Numerical Algorithms:

Jack Dongarra (University of Tennessee, Knoxville)

- Inverse Problems and Ill-Posed Problems: Per Christian Hansen (Technical

University of Denmark)

- Mathematical Biology: Mark Chaplain (University of Dundee)

- Partial Differential Equation Methods in Image Processing and Computer

Vision: Tony F. Chan (UCLA)

The call for attendance and papers/posters is at

http://www.maths.man.ac.uk/MCCM/frontiers.html

The workshop is organized by the Manchester Centre for Computational

Mathematics (MCCM), and forms part of the University of Manchester's

Centenary Research Workshop series. Financial support for the workshop

is provided by The University of Manchester, The London Mathematical

Society, and the UK and Republic of Ireland SIAM section.

Organizing Committee Nicholas J. Higham, Tony Shardlow, Francoise

Tisseur (University of Manchester), David Silvester (UMIST).

------------------------------

From: Markus Melenk <Markus.Melenk@mis.mpg.de>

Date: Sun, 15 Jun 2003 15:54:46 +0200 (MET DST)

**Subject: Workshop in Leipzig on Multigrid and Hierarchic Solution Techniques**

11th GAMM-Workshop on

Multigrid and Hierarchic Solution Techniques

August 25-27, 2003

LOCATION

Max-Planck-Institute for mathematics in the sciences,

Leipzig

INVITED SPEAKERS

R. Bank (UCSD)

U. Langer (University of Linz)

K. Oosterlee (Technical University of Delft)

A. Reusken (RWTH Aachen)

INFORMATION and REGISTRATION

http://www.mis.mpg.de/scicomp/GAMM-WS2003

and by e-mail: melenk@mis.mpg.de

DEADLINE for registration:

June 30, 2003

ORGANIZERS

W. Hackbusch

J.M. Melenk

------------------------------

From: Jun Zou <zou@math.cuhk.edu.hk>

Date: Mon, 16 Jun 2003 11:23:54 +0800 (CST)

**Subject: Conference in Hong Kong on Parallel Computing**

International Conference on Parallel Algorithms and Computing Environments

(ICPACE)

October 8-11, 2003, Chinese University of Hong Kong, Hong Kong

The Department of Mathematics, Chinese University of Hong Kong is pleased

to host the International Conference on Parallel Algorithms and Computing

Environments (ICPACE) and invites you to participate in the conference. This

conference is to provide a forum for parallel computing experts, numerical

analysts as well as practitioners to exchange and present their latest

research achievements in parallel computings (algorithms/theories) and

parallel environments.

The Conference is supported by

The Croucher Foundation;

K.C. Wong Education Foundation;

Hong Kong Pei Hua Education Foundation Limited;

Institute of Mathematical Sciences and Department of Mathematics, CUHK

Hong Kong Mathematical Society.

Important Dates:

July 30, 2003: submission of the two-page abstracts

August 10, 2003: notifications of acceptance

The abstract should be emailed in postscript file to

Jun Zou: zou@math.cuhk.edu.hk

for papers on parallel algorithms and computings;

Xue-bin Chi: chi@jupiter.cnc.ac.cn

for the papers on parallel hardware and environment.

Application for financial supports to attend conference should be sent to

Jun Zou: zou@math.cuhk.edu.hk

More information can be found on the conference website:

http://www.sc.ac.cn/ICPACE

------------------------------

From: Avi Purkayastha <avijit@tacc.utexas.edu>

Date: Thu, 19 Jun 2003 18:23:32 -0500

**Subject: SCICOMP Meeting in Minneapolis**

The eighth SCICOMP Meeting, SCICOMP 8 will be held in Minneapolis,

Minnesota, August 5-8 2003. A day of tutorials followed by three

days of presentations by leading IBM HPC developers and users will be

hosted by University of Minnesota Supercomputing Institute for Digital

Simulation and Advanced Computation. For information on registration or

submitting an abstract see the following URLs.

http://www.spscicomp.org/ScicomP8/

http://www.spscicomp.org/ScicomP8/spsc8_press.html

Regards,

David Skinner

SCICOMP Secretary

------------------------------

From: Luc Wuytack <Luc.Wuytack@ua.ac.be>

Date: Fri, 20 Jun 2003 08:17:02 +0200 (CEST)

**Subject: Congress in Belgium on Computational and Applied Mathematics**

ICCAM-2004: University of Leuven (Belgium), July 26-30, 2004

Theme: International Congress on Computational and Applied Mathematics

Aim: The congress will bring together people working on the analysis and

application of computational techniques for solving scientific and

engineering problems.

Main speakers: H. Deconinck (Belgium), C. Lubich (Germany), F. Nataf (France)

W. Schoutens (Belgium), G. Sleijpen (The Netherlands), T. Suzuki (Japan)

Deadline: Short communications will be accepted for presentation. An abstract

(at most 1 page long) should be sent, before March 30, 2004 to:

Prof. M. Goovaerts

K.U. Leuven, CRIR

Naamsestraat 69

B-3000 Leuven (Belgium)

e-mail: iccam2004@cs.kuleuven.ac.be

Proceedings: will be published in the Journal of Computational and Applied

Mathematics.

More Information:

http://www.cs.kuleuven.ac.be/conference/iccam2004/iccam.htm

------------------------------

From: Anne Morrone <amorrone@fields.utoronto.ca>

Date: Tue, 17 Jun 2003 15:27:33 -0400

**Subject: Nominations for Director of The Fields Institute**

Call for nominations and applications for the position of Director of

The Fields Institute for Research in the Mathematical Sciences.

The term of the current Director, Kenneth R. Davidson, will end June 30,

2004. The Institute is now calling for nominations and applications for the

position of Director.

The Fields Institute for Research in the Mathematical Sciences, founded in

1992, carries on specialized year-long programs, seminars, workshops, short

courses and a broad spectrum of activities across the mathematical sciences

that bring together experts, young mathematicians and graduate students to

work on issues of current research interest. It is housed in its own

building on the campus of the University of Toronto, and has office space

for its staff of 15 and up to 75 visitors. It is funded by the Natural

Science and Engineering Research Council (Canada) and the Ministry of

Training, Colleges and Universities (Ontario), and supported by six

sponsoring universities (McMaster, Ottawa, Toronto, Waterloo, Western, and

York).

The Director is the Chief Executive Officer of the Institute with

responsibility for the Institute's scientific leadership and overall

operation. The term of office is three to five years, renewable once.

Candidates should have a strong international stature in the mathematical

sciences as well as proven administrative experience.

The members of the search committee for the new Director of the Fields

Institute are Derek Corneil, Alan George (Chair), Bradd Hart, Richard Kane,

Philip Siller and Margaret Wright. This committee is currently receiving

nominations and applications, and will consider candidates beginning in

September, 2003.

Nominations and applications, including curriculum vitae, should be made, in

confidence to:

Director Search

The Fields Institute

222 College Street, 2nd Floor

Toronto, Ontario M5T 3J1

Canada

For more information visit www.fields.utoronto.ca

------------------------------

From: Wolf-Juergen Beyn <beyn@Mathematik.Uni-Bielefeld.DE>

Date: Fri, 20 Jun 2003 14:03:43 +0200 (CEST)

**Subject: Faculty Position at the University of Bielefeld**

Department of Mathematics, University of Bielefeld, Germany

Applications are invited for

1 Professorship (C3) in Mathematics.

The Department is looking for someone working in numerical mathematics.

The person taking up the position is expected to:

* participate fully in the teaching and research duties of the

Department,

* become actively involved in the Department's present and future

research projects,

* have an interest in mathematics not restricted to their own field of

expertise,

* be open to the possibilities of interdisciplinary cooperation.

Applications received by June 30, 2003, will be assured of

consideration. These should be sent to the Chairman of the Department of

Mathematics, University of Bielefeld, Box 100131, 33501 Bielefeld,

Germany.

Website: http://www.mathematik.uni-bielefeld.de/

------------------------------

From: Nicolas Robidoux <nrobidoux@grinder.pims.math.ca>

Date: Fri, 20 Jun 2003 17:55:06 -0700 (PDT)

**Subject: Workshop in San Diego on Mimetic Discretizations**

Final ANNOUNCEMENT and CALL FOR PAPERS

Workshop on Mimetic Discretizations of Continuum Mechanics

When: July 9-11, 2003

Where: Computational Science Research Center, San Diego State

University

Cost: 60USD/30USD for students or recent PhDs.

Main topic: Theory and applications of numerical methods based on

discretizations of the fundamental differential operators

divergence, gradient and curl (rotational) which preserve

fundamental theorems of vector calculus.

Sample topics: Conservative mixed finite element and generalized

finite difference methods for the solution of PDEs, discrete

Hodge star operators, discrete Hodge decomposition software for

scientific visualization and computer graphics, numerical

methods for the solution of div-grad and curl-curl systems

(diffusion, elasticity, electromagnetism, fluid dynamics).

Information on mimetic discretization methods, see

http://math.unm.edu/~stanly/mimetic.html

Workshop web site:

http://www.sci.sdsu.edu/compscims/MIMETIC/index.htm

If you wish to give a talk (30 minutes), submit an abstract to

http://www.sci.sdsu.edu/compscims/MIMETIC/Submissions.htm

Accepted talks:

http://www.sci.sdsu.edu/compscims/MIMETIC/Presentations.htm

Scientific Committee: Jose Castillo (San Diego State University),

Robert Kotiuga (Boston University), Nicolas Robidoux (Simon

Fraser University) and Stanly Steinberg (University of New

Mexico).

Funding: US National Science Foundation as well as the University of

New Mexico, the Computational Science Research Center at San

Diego State University, the Center for Scientific Computing of

Simon Fraser University and Laurentian University.

Nicolas Robidoux

Pacific Institute for Fundamental Sciences

Simon Fraser University

8888 University Drive

Burnaby BC V5A 1S6

Canada

------------------------------

From: Maya Neytcheva <maya@tdb.uu.se>

Date: Sat, 21 Jun 2003 20:23:02 +0200 (MET DST)

**Subject: Contents, Numerical Linear Algebra**

CONTENTS

Numerical Linear Algebra with Applications

Volume 10, Issue 3-4, 2003

Multiscale preconditioning for the coupling of FEM-BEM

H. Harbrecht, F. Paiva, C. Perez and R. Schneider, pp 197-222

The solvability conditions for inverse eigenproblem of symmetric and

anti-persymmetric matrices and its approximation

Dongxiu Xie, Xiyan Hu and Lei Zhang, pp 223-234

Prefiltration technique via aggregation for constructing low density high

quality factorized sparse approximate inverse preconditionings

A.A. Nikishin and A.Yu. Yeremin, pp 235-246

Solving linear initial value problems by Faber polynomials

P. Novati, pp 247-270

Efficient approximation of the exponential operator for discrete 2D

advection-diffusion problems

L. Bergamaschi, M. Caliari and M. Vianello, pp 271-289

Operator trigonometry of preconditioning, domain decomposition, sparse

approximate inverses, successive overrelaxation, minimum residual schemes

K. Gustafson, pp 291-315

Simultaneous backward stability of Gauss and Gauss-Jordan elimination

J.M. Pena, pp 317-321

An increasing-angle property of the conjugate gradient method and the

implementation of large scale minimization algorithms with line searches

Yu-Hong Dai, J. M. Martinez, Jin Yun Yuan, pp 323-334

Application of the Lanczos algorithm for solving the linear systems that

occur in continuation problems

C.-S. Chien and S.-L. Chang, pp 335-355

Algebraic formulations for the solution of the nullspace-free eigenvalue

problem using the inexact Shift-and Invert Lanczos method

V. Simoncini, 357-373

A note on bounds for norms of Cauchy-Hankel matrices

S. Solak and D. Bozkurt, pp 377-382 (short communication)

------------------------------

From: Iain Duff <I.Duff@rl.ac.uk>

Date: Mon, 16 Jun 2003 13:42:49 +0100 (BST)

**Subject: Contents, IMA Journal of Numerical Analysis**

IMA JOURNAL OF NUMERICAL ANALYSIS

www.imanum.oupjournals.org

Contents of Volume 23, Number 3

J V Burke, A S Lewis and M L Overton

Robust stability and a criss-cross algorithm for pseudospectra.

pp 359-375

Yu-Hong Dai and Ya-xiang Yuan

Alternative minimization gradient method.

pp 377-393

J.-P. Dedieu, P. Priouret, and G. Malajovich

Newton's method on Riemannian manifolds: covariant alpha-theory.

pp 395-419

Nicola Guglielmi and Marino Zennaro

Stability of one-leg $\Theta$-methods for the variable coefficient pantograph

equation on the quasi-geometric mesh.

pp 421-438

R. Ferreira, P. Groisman, and J.D. Rossi

Adaptive numerical schemes for a parabolic problem with blow-up.

pp 439-463

Yubin Yan

Smoothing properties and approximation of time derivatives for parabolic

equations: constant time steps.

pp 465-487

J. Brandts and M. Krizek

Gradient superconvergence on uniform simplicial partitions of polytopes.

pp 489-505

J. Droniou, R. Eymard, D. Hilhorst, and X.D. Zhou

Convergence of a finite-volume mixed finite-element method for an

elliptic-hyperbolic system.

pp 507-538

------------------------------

From: ScienceDirect <sciencedirect@prod.lexis-nexis.com>

Date: Wed, 18 Jun 2003 06:58:30 -0400 (EDT)

**Subject: Contents, Linear Algebra and its Applications**

Linear Algebra and its Applications Volume 369, Pages 1-352 (1 August 2003)

TABLE OF CONTENTS

Perturbation of null spaces with application to the eigenvalue problem and

generalized inverses, Pages 1-25

Konstantin E. Avrachenkov and Moshe Haviv

A complementary result of Kantorovich type order preserving inequalities by

Mii-Peari-Seo, Pages 27-40

Takayuki Furuta and Mariko Giga

Analysis of preconditioning strategies for collocation linear systems,

Pages 41-75

Stefano Serra Capizzano and Cristina Tablino Possio

Wielandt and Ky-Fan theorem for matrix pairs, Pages 77-93

Ivica Naki and Kreimir Veseli

Identities of bilinear mappings and graded polynomial identities of matrices,

Pages 95-112

Yu. A. Bahturin and V. Drensky

The Schur algorithm for generalized Schur functions III: J-unitary matrix

polynomials on the circle, Pages 113-144

Daniel Alpay, Tomas Azizov, Aad Dijksma and Heinz Langer

Linear systems with nilpotent leading term, Pages 145-152

Werner Balser

Error analysis of signal zeros: a projected companion matrix approach,

Pages 153-167

F. S. V. Bazan

Existence and construction of nonnegative matrices with prescribed spectrum,

Pages 169-184

Ricardo L. Soto

On the solvability of the commutative power-associative nilalgebras of

dimension 6, Pages 185-192

Ivan Correa, Irvin Roy Hentzel and Luiz Antonio Peresi

Determinants and multiplicative functionals on quaternion matrices,

Pages 193-201

Jiangnan Fan

Stabilizing a class of time delay systems using the Hermite-Biehler theorem,

Pages 203-216

Vilma A. Oliveira, Marcelo C. M. Teixeira and Lucia Cossi

Weak majorization inequalities and convex functions, Pages 217-233

Jaspal Singh Aujla and Fernando C. Silva

Lebesgue perturbation of a quasi-definite Hermitian functional,

The positive definite case, Pages 235-250

A. Cachafeiro, F. Marcellan and C. Perez

On the critical group of the n-cube, Pages 251-261

Hua Bai

Rank-1 preserving linear maps on nest algebras, Pages 263-277

Jinchuan Hou and Jianlian Cui

Quasi-real normal matrices and eigenvalue pairings, Pages 279-294

Geoffrey R. Goodson, Roger A. Horn and Dennis I. Merino

Multilinear functional inequalities involving permanents, determinants,

and other multilinear functions of nonnegative matrices and M-matrices,

Pages 295-310

Assaf Goldberger and Michael Neumann

On determinant preserver problems, Pages 311-317

Victor Tan and Fei Wang

The general trapezoidal algorithm for strongly regular max-min matrices,

Pages 319-338

Martin Gavalec

Some complete Lie superalgebras, Pages 339-349

Li Yun Wang and Dao Ji Meng

------------------------------

From: ScienceDirect <sciencedirect@prod.lexis-nexis.com>

Date: Wed, 18 Jun 2003 06:58:30 -0400 (EDT)

**Subject: Contents, Computational Statistics & Data Analysis**

Computational Statistics & Data Analysis Volume 42, Issues 1-2,

Pages 1-276 (28 February 2003)

TABLE OF CONTENTS

A Monte Carlo study of the accuracy and robustness of ten bivariate location

estimators, Pages 1-26

Jean-Claude Masse and Jean-Francois Plante

Estimating a density by adapting an initial guess, Pages 27-36

C. J. Albers and W. Schaafsma

A Bayesian analysis of zero-inflated generalized Poisson model, Pages 37-46

Jean-Francois Angers and Atanu Biswas

Linear regression analysis for fuzzy/crisp input and fuzzy/crisp output data,

Pages 47-72

Pierpaolo D'Urso

Modeling vector nonlinear time series using POLYMARS, Pages 73-90

Jan G. De Gooijer and Bonnie K. Ray

Bayesian and profile likelihood change point methods for modeling cognitive

function over time, Pages 91-109

Charles B. Hall, Jun Ying, Lynn Kuo and Richard B. Lipton

Robustness via a mixture of exponential power distributions, Pages 111-121

Alon Hazan, Zinoviy Landsman and Udi E Makov

Estimating survival rates using an extended ricker's two-release method,

Pages 123-137

Ching-Yung Lee, Shen-Ming Lee and Mei-Jih Gee

Smoothing parameter selection for smoothing splines: a simulation study,

Pages 139-148

Thomas C. M. Lee

Order statistics from inverse weibull distribution and associated inference,

Pages 149-163

M. A. W. Mahmoud, K. S. Sultan and S. M. Amer

Influence diagnostics in generalized log-gamma regression models, Pages 165-186

Edwin M. M. Ortega, Heleno Bolfarine and Gilberto A. Paula

Estimating baseline distribution in proportional hazards cure models,

Pages 187-201

Yingwei Peng

Fuzzy estimates of regression parameters in linear regression models for

imprecise input and output data, Pages 203-217

Hsien-Chung Wu

Jump process for the trend estimation of time series, Pages 219-241

Shan Zhao and G. W. Wei

Joint modelling of cause-specific hazard functions with cubic splines: an

application to a large series of breast cancer patients, Pages 243-262

Patrizia Boracchi, Elia Biganzoli and Ettore Marubini

Computational Statistics & Data Analysis Volume 43, Issue 3,

Pages 283-420 (28 July 2003)

TABLE OF CONTENTS

Modified moment estimation for the two-parameter Birnbaum-Saunders

distribution, Pages 283-298

H. K. T. Ng, D. Kundu and N. Balakrishnan

Trimmed L-moments, Pages 299-314

Elsayed A. H. Elamir and Allan H. Seheult

Robustness against separation and outliers in logistic regression,

Pages 315-332

Peter J. Rousseeuw and Andreas Christmann

New goodness-of-fit tests for the error distribution of autoregressive

time-series models, Pages 333-340

C. J. Swanepoel and W. O. Doku

Resampling methods for variable selection in robust regression, Pages 341-355

James W. Wisnowski, James R. Simpson, Douglas C. Montgomery and George C. Runger

Transformation approaches for the construction of Weibull prediction interval,

Pages 357-368

Zhenlin Yang, Stanley P. See and M. Xie

On time series with randomized unit root and randomized seasonal unit root,

Pages 369-395

Pak Wing Fong and Wai Keung Li

------------------------------

From: P. Matus <Matus@im.bas-net.by>

Date: Wed, 18 Jun 2003 17:49:34 +0300

**Subject: Contents, Computational Methods in Applied Mathematics**

Contents Comp. Meth. Appl. Math., Vol. 3 (2003), No. 2

COMPUTATIONAL METHODS IN APPLIED MATHEMATICS

On iterative regularization methods for variational inequalities of

the second kind with pseudomonotone operators

B. Badriev, O.A. Zadvornov, and L.N. Ismagilov

Resolvent estimate in $\mathbf{L^p}$ for discretisations of second

order ordinary differential operators on variable grids

(Dedicated to Ian Sloan on the occasion of his 65th birthday)

R.D. Grigorieff

Analysis of immersed interface difference schemes for

reaction-diffusion problems with singular own sources

J.D. Kandilarov and L.G. Vulkov

$D$-gap functions for a class of equilibrium problems in Banach spaces

I.V. Konnov and O.V. Pinyagina

Modified three-point difference schemes of high-accuracy order for

second order nonlinear ordinary differential equations

M.V. Kutniv

Stability of difference schemes for nonlinear time-dependent problems

(Dedicated to R. Lazarov on the occasion of his 60th birthday and to

V. Thomee on the occasion of his 70th birthday}

P. Matus

Orthogonal approximate solution of Cauchy-type singular integral equations

R. Smarzewski, M.A. Sheshko, and G.A. Rasolko

------------------------------

From: Thomas Hogan <hogan@math.ohio-state.edu>

Date: Fri, 20 Jun 2003 12:32:42 -0400 (EDT)

**Subject: Contents, Journal of Approximation Theory**

Table of Contents: J. Approx. Theory, Volume 122, Number 1, May 2003

Michael S. Floater

Error formulas for divided difference expansions and numerical

differention

1--9

Carl de Boor

A divided difference expansion of a divided difference

10--12

Pawe{\l} Bechler

Lebesgue constant for the Str\"{o}mberg wavelet

13--23

G. Plonka and D.-X. Zhou

Properties of locally linearly independent refinable function vectors

24--41

Carlos Lizama and Humberto Prado

Rates of approximation and ergodic limits of regularized operator

families

42--61

M. G\"{o}tz

On the Riesz energy of measures

62--78

Manuel Alfaro, Juan J. Moreno-Balc\'{a}zar and M. Luisa Rezola

Laguerre-Sobolev orthogonal polynomials: asymptotics for coherent pairs

of type II

79--96

M. Castro and A.J. Dur\'{a}n

Boundedness properties for Sobolev inner products

97--111

S. Khrushchev

Tur\'{a}n measures

112--120

Huo-Jun Ruan, Zhen Sha and Wei-Yi Su

Counterexamples in parameter identification problem of the fractal

interpolation functions

121--128

V. Maymeskul and E.B. Saff

Zeros of polynomials orthogonal over regular $N$-gons

129--140

Note

Shayne Waldron

A generalised beta integral and the limit of the Bernstein-Durrmeyer

operator with Jacobi weights

141--150

Table of Contents: J. Approx. Theory, Volume 122, Number 2, June 2003

Paul C. Kainen, V\v{e}ra Kurkov\'{a}, and Andrew Vogt

Best approximation by linear combinations of characteristic functions

of half-spaces

151--159

Victor M. Adukov

The uniform convergence of subsequences of the last intermediate row of

the Pad\'{e} table

160--207

Changgui Zhang

Sur les fonctions $q$-Bessel de Jackson

208--223

Michael I. Ganzburg

Strong asymptotics in Lagrange interpolation with equidistant nodes

224--240

David Benko and Tam\'{a}s Erd\'{e}lyi

Markov inequality for polynomials of degree $n$ with $m$ distinct zeros

241--248

Edward Neuman

Bounds for symmetric elliptic integrals

249--259

G. Gripenberg

Approximation by neural networks with a bounded number of nodes at

each level

260--266

Zhongkai Li and Yuan Xu

Summability of orthogonal expansions of several variables

267--333

Author index for Volume 122

334

------------------------------

End of NA Digest

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