NA Digest Sunday, June 22, 2003 Volume 03 : Issue 25

Today's Editor:
Cleve Moler
The MathWorks, Inc.

Submissions for NA Digest:

Mail to

Information via e-mail about NA-NET: Mail to


From: Dirk Laurie <>
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, the article "Machin's Merit"
<> 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 <> 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 <>
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 <>
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:

Best Regards,
Fred Doolittle


From: Bonadei Francesca <>
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
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 <>
Date: Tue, 17 Jun 2003 20:26:41 -0700
Subject: Workshop in College Park on Women of Applied Mathematics

Workshop Announcement & Call for Applications

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:

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 ( or
Dianne O'Leary (


From: Nick Higham <>
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

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 <>
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

Max-Planck-Institute for mathematics in the sciences,

R. Bank (UCSD)
U. Langer (University of Linz)
K. Oosterlee (Technical University of Delft)
A. Reusken (RWTH Aachen)

and by e-mail:

DEADLINE for registration:
June 30, 2003

W. Hackbusch
J.M. Melenk


From: Jun Zou <>
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
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:
for papers on parallel algorithms and computings;

Xue-bin Chi:
for the papers on parallel hardware and environment.

Application for financial supports to attend conference should be sent to
Jun Zou:

More information can be found on the conference website:


From: Avi Purkayastha <>
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.


David Skinner
SCICOMP Secretary


From: Luc Wuytack <>
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)
Proceedings: will be published in the Journal of Computational and Applied
More Information:


From: Anne Morrone <>
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

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

For more information visit


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
* become actively involved in the Department's present and future
research projects,
* have an interest in mathematics not restricted to their own field of
* 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,


From: Nicolas Robidoux <>
Date: Fri, 20 Jun 2003 17:55:06 -0700 (PDT)
Subject: Workshop in San Diego on Mimetic Discretizations


Workshop on Mimetic Discretizations of Continuum Mechanics

When: July 9-11, 2003

Where: Computational Science Research Center, San Diego State

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

Workshop web site:

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

Accepted talks:

Scientific Committee: Jose Castillo (San Diego State University),
Robert Kotiuga (Boston University), Nicolas Robidoux (Simon
Fraser University) and Stanly Steinberg (University of New

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


From: Maya Neytcheva <>
Date: Sat, 21 Jun 2003 20:23:02 +0200 (MET DST)
Subject: Contents, Numerical Linear Algebra

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 <>
Date: Mon, 16 Jun 2003 13:42:49 +0100 (BST)
Subject: Contents, IMA Journal of Numerical Analysis


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 <>
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)

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 <>
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)

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)

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 <>
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


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 <>
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

Carl de Boor
A divided difference expansion of a divided difference

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

G. Plonka and D.-X. Zhou
Properties of locally linearly independent refinable function vectors

Carlos Lizama and Humberto Prado
Rates of approximation and ergodic limits of regularized operator

M. G\"{o}tz
On the Riesz energy of measures

Manuel Alfaro, Juan J. Moreno-Balc\'{a}zar and M. Luisa Rezola
Laguerre-Sobolev orthogonal polynomials: asymptotics for coherent pairs
of type II

M. Castro and A.J. Dur\'{a}n
Boundedness properties for Sobolev inner products

S. Khrushchev
Tur\'{a}n measures

Huo-Jun Ruan, Zhen Sha and Wei-Yi Su
Counterexamples in parameter identification problem of the fractal
interpolation functions

V. Maymeskul and E.B. Saff
Zeros of polynomials orthogonal over regular $N$-gons


Shayne Waldron
A generalised beta integral and the limit of the Bernstein-Durrmeyer
operator with Jacobi weights

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

Victor M. Adukov
The uniform convergence of subsequences of the last intermediate row of
the Pad\'{e} table

Changgui Zhang
Sur les fonctions $q$-Bessel de Jackson

Michael I. Ganzburg
Strong asymptotics in Lagrange interpolation with equidistant nodes

David Benko and Tam\'{a}s Erd\'{e}lyi
Markov inequality for polynomials of degree $n$ with $m$ distinct zeros

Edward Neuman
Bounds for symmetric elliptic integrals

G. Gripenberg
Approximation by neural networks with a bounded number of nodes at
each level

Zhongkai Li and Yuan Xu
Summability of orthogonal expansions of several variables

Author index for Volume 122


End of NA Digest