NA Digest Sunday, July 23, 2000 Volume 00 : Issue 30

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

Submissions for NA Digest:

Mail to

Information about NA-NET:

Mail to

URL for the World Wide Web:

From: Gene H Golub <>
Date: Wed, 19 Jul 2000 10:03:57 -0700
Subject: Top Ten Algorithms

Many of you have probably seen the highly distributed list of 'Top Ten
Algorithms', from the January-February issue of IEEE/AIP Computing in
Science and Engineering. Jack Dongarra and Francis Sullivan were the
guest editors for that issue. It's an interesting choice and reflects
the personal view of two well known computational scientists. I'd like
to open up a discussion to our community and hear of their choice of
the top ten numerical algorithms. For instance, I believe multi-grid
should be placed on this list as well as the finite element method and SOR.
So if you have the time send me a list of your top 10 (or five or twenty)
algorithms. A few comments might be useful. I'll get a report back to you
in a few months.


1. 1946: The Metropolis Algorithm for Monte Carlo. Through the use of
random processes, this algorithm offers an efficient way to stumble
toward answers to problems that are too complicated to solve exactly.

2. 1947: Simplex Method for Linear Programming. An elegant solution to
a common problem in planning and decision-making.

3. 1950: Krylov Subspace Iteration Method. A technique for rapidly
solving the linear equations that abound in scientific computation.

4. 1951: The Decompositional Approach to Matrix Computations. A suite
of techniques for numerical linear algebra.

5. 1957: The Fortran Optimizing Compiler. Turns high-level code into
efficient computer-readable code.

6. 1959: QR Algorithm for Computing Eigenvalues. Another crucial
matrix operation made swift and practical.

7. 1962: Quicksort Algorithms for Sorting. For the efficient handling
of large databases.

8. 1965: Fast Fourier Transform. Perhaps the most ubiquitous algorithm
in use today, it breaks down waveforms (like sound) into periodic

9. 1977: Integer Relation Detection. A fast method for spotting simple
equations satisfied by collections of seemingly unrelated numbers.

10. 1987: Fast Multipole Method. A breakthrough in dealing with the
complexity of n-body calculations, applied in problems ranging from
celestial mechanics to protein folding.


From: Thomas Coleman <>
Date: Fri, 21 Jul 2000 08:42:53 -0400
Subject: Cornell Multitask Toolbox for MATLAB

The Cornell Theory Center has developed a tool for easy coarse-grained
parallel computing under MATLAB in a NT-cluster environment. A free beta
version is available for downloading. For more information see

Tom Coleman
Director, Cornell Theory Center


From: Christophe Koudella <>
Date: Sat, 15 Jul 2000 12:40:32 +0000 (GMT)
Subject: Distributed Matrix Transpose

Dear NA-Digesters,

I have been looking for some time now for a good review of distributed
matrix (in-place) transpose software and algorithms.

I am running a few spectral CFD models on distributed memory architectures
within the message passing paradigm.

So far I have used mostly a scheme like that offered by the MPI_ALLTOALL
primitive and I have developed variants of this.

However, in order to be able to push my model resolution to 1024^3 and
hopefully more, I desperately need to reduce the scratch space needed
for the transpose.

I would therefore want to do an in-place or almost in-place transpose.

Can you help me with pointers to software and algorithms allowing me to
control precisely the scratch space needed?

Thank You,

Christophe Koudella


From: George Okecha <>
Date: Mon, 17 Jul 2000 11:27:50 +0100
Subject: Quadratic Spline Approximation

Out of interest, I have been trying to use a quadratic spline function
to solve a certain singular integral equation (we are familiar with the
cubic spline, which is more efficient).
In this case, one would need to solve the recurrence relation,
Z_i+1 = -Z_i + 2(f_i+1- f_i)/h_i , where Z_i = S'_i(x_i)
How do you get the starting value Z_0 ? Some texts suggest arbitrary
value for Z_0. This does not help. Specifying the spline piece in the
interval and substituing x= x_0 does not help either. Any suggestions?
Thank you.


From: Mohsen Maesumi <>
Date: Tue, 18 Jul 2000 19:58:31 -0500 (CDT)
Subject: Seeking Searchable Databases of Mathematics

Dear Colleagues:

I am in the process of creating (yet another) list of
links to searchable and freely available mathematical
software and related information. In order to achieve
a broad representation I would like to enlist your help.
I will compile the list and make it available.
The created list will have several user-friendly
features to make it especially useful.

Please send me your contributions as
a URL containing relevant links or as a list of URL's.

Our current targets are the sites that are searchable (by
their own search engines) or are major organizational sites
or have a significant coverage of a field of specialization.

In order to avoid heavy duplication in e-mails let me
request that the following well-known sites to be
excluded from your list:

Netlib (ornl, bell-labs, na-digest), GAMS, hotGAMs,
University of Minnesota geometry center,,,
PSC, NHSE, Softlib,
Statlib, Statcodes,
SIAM, AMS, Mathscinet,
Mathforum, COAP,
Maple, Matlab, Mathcad, Mathworks, Mathematica, Mathtools.

However, if in doubt, please send your pointer(s).



From: Jorge More' <>
Date: Thu, 20 Jul 2000 15:33:44 -0500
Subject: Traian Iliescu is the 2000 Wilkinson Fellow

Traian Iliescu of the University of Pittsburgh has been named the 2000
Wilkinson Fellow in Scientific Computing. He will join the Mathematics and
Computer Science Division at Argonne National Laboratory in August 2000.

In announcing the award, the selection committee cited Iliescu's fundamental
contributions to the simulation of turbulent flows. Understanding such
flows is central to many applications such as pollution estimation, global
climate change calculations, and combustion.

Iliescu received a Ph.D. degree in Applied Mathematics from the University
of Pittsburgh in July 2000. For his thesis, he carried out a rigorous
mathematical investigation of large eddy simulation. He proved, in
particular, that the equations describing large eddy motion are well posed.

Iliescu won the SIAM student paper prize for the best graduate student
research in applied mathematics and has published in the Journal for
Numerical Methods in Engineering, the SIAM Journal on Numerical Analysis,
and Applied Mathematics Letters. Two other articles are scheduled to appear.

Iliescu has also collaborated on an industrial project modeling aluminum
reduction, an energy-intensive process consuming over 10 percent of the
annual U.S. electrical output. For this project he developed a parallel
linear solver that enabled scientists for the first time to accurately
examine thermo-electrical effects in three dimensions.

Iliescu will join the faculty of the Applied Mathematics department at
Virginia Tech (Virginia Polytechnic Institute and State University) after
his appointment at Argonne.

The Wilkinson Fellowship was created by Argonne's Mathematics and Computer
Science Division in memory of Dr. James Hardy Wilkinson, F.R.S., who for
many years acted as a consultant and guiding spirit for such efforts as the
EISPACK and LINPACK projects. The fellowship is intended to assist a young
scientist engaged in state-of-the-art research in scientific computing.


From: Steve McCormick <>
Date: Wed, 19 Jul 2000 18:26:57 -0600
Subject: New Book, A Multigrid Tutorial

A Multigrid Tutorial
Second Edition
William L. Briggs, Van Emden Henson, Steve F. McCormick

The book updates the five chapters of Briggs's original "A Multigrid
Tutorial" and includes new material in five additional chapters.

Preface to the Second Edition; Preface to the First Edition; Chapter
1: Model Problems; Chapter 2: Basic Iterative Methods; Chapter 3:
Elements of Multigrid; Chapter 4: Implementation; Chapter 5: Some
Theory; Chapter 6: Nonlinear Problems; Chapter 7: Selected
Applications; Chapter 8: Algebraic Multigrid (AMG); Chapter 9:
Multilevel Adaptive Methods; Chapter 10: Finite Elements;
Bibliography; Index.

July 2000 / xii + 193 pages / Softcover / ISBN 0-89871-462-1
List Price $39.00 / SIAM Member Price $27.30 / Order Code OT72

For more information, contact or visit their website


From: Marcin Paprzycki <>
Date: Sat, 22 Jul 2000 14:20:30 -0500 (CDT)
Subject: Proceedings of the First Southern Conference on Computing

Proceedings of the First Southern Conference on Computing
Hattiesburg, Mississippi, December, 1998
edited by: M. Paprzycki and J. Kolibal
ISBN 0-9677774-0-2

have been posted at:

the information about obtaining a CD containing all papers is available at:

Information about the Second Conference on Computing to be held in
Hattiesburg, October 26-28, 2000 can be found at:


Marcin Paprzycki phone: 601-266-6639
Department of Computer Science and Statistics or: 601-266-4949
University of Southern Mississippi
Hattiesburg, MS 39406-5106, USA FAX: 601-266-6452


From: Saeid Abbasbandy <>
Date: Sun, 16 Jul 2000 08:29:49 +0430
Subject: Change of Address of Saeid Abbasbandy

Dear Colleague,

My new Address is:

Dr. Saeid Abbasbandy
Dept. of Mathematics,
Imam Khomeini International University,
P.O.Box 288,
Phone: 0098-911-2305326
fax: 0098-21-2441511



From: Dimitrios Rovas <rovas@MIT.EDU>
Date: Fri, 21 Jul 2000 12:58:26 -0400
Subject: Simulations that Respond to Web Queries

Simulations that Respond: in Context, to Web Queries,
Quasi-Instantaneously, with a Certificate of Fidelity

T. Leurent, C. Prud'homme, D. V. Rovas, and A. T. Patera

Massachusetts Institute of Technology

This project comprises two components. These components can in fact
serve various goals independently, though in our examples we treat
them as an ensemble.

The first component of the project is the development of a small set
of tools that allow engineers and scientists to Write and Read
standard Latex documents with seamlessly integrated actionable
parametrized equations that, upon request, invoke computations
residing on servers (anywhere) to compute the desired Outputs and then
dynamically update the document and graphics accordingly. The second
component of the project is the development of Reduced-Basis Output
Bound methods that provide, for a wide range of problems, effectively
real-time predictions and associated error bars - certificates of
fidelity - for
the desired Outputs of (ostensibly computationally intensive)
mathematical models. For the latter, our current focus is on elliptic
partial differential equations.

To obtain a quick sense of a first release of the "end product,"
please access the thermal fin example (PDF version)
<>. [Requirement:
Users must have Acrobat Reader installed, at least
version 4.x (x>=0), and must configure Netscape (under Mac
and Unix flavors such as Linux) to use Acrobat Reader as a
plugin for PDF documents.] Very little documentation
is required to exercise this example: enter, in the obvious fields,
the numerical values (within the ranges specified in the text) for the
seven components of the parameter vector; then click on the "=" in the
box following the parameter list to compute the value for the root
temperature of the fin - the output of interest - and the associated
error bar.
To construct dynamic figures, see the Reader documentation

This work is or has been supported by the Singapore-MIT Alliance, the
NASA Langley Research Center, the AFOSR, and the Sandia National
Laboratories. Many components of this work are done in collaboration
and discussion with others: we would particularly like to acknowledge
the many contributions of Prof Yvon Maday of University Paris VI, Prof
Jaime Peraire of MIT, Dr Luc Machiels of Lawrence Livermore
Laboratories, Prof Einar Ronquist of Norwegian University of Science
and Technology, Mr Alex Budge of MIT, Mr Ivan Oliviera of MIT, Mr
Roland von Kaenel of EPFL and Ms Shidrati Ali of the Singapore-MIT
Alliance/National University of Singapore. We also thank Ms Debra
Blanchard for technical assistance and administrative support for the

See the project web page <> to
obtain further information
or to subscribe to any of the project mailing lists that we have


From: Jun Zhang <>
Date: Wed, 19 Jul 2000 13:13:37 -0400 (EDT)
Subject: Journal of Nonlinear Sciences and Numerical Simulation

Call for Papers in Nonlinear Sciences and Numerical Simulation

International Journal of Nonlinear Sciences and Numerical Simulation

publishes refereed high quality research papers in all aspects of
nonlinear sciences and numerical simulation. The highest priority
is given to those contributions concerned with a discussion of
background of a practical problem, the establishment of an
appropriate nonlinear model, the determination of a solution,
approximate or exact, analytical or numerical, and a discussion
of the relevance of the results when applied to real-life
problems. The following types of manuscript are encouraged:

1. New nonlinear model for a real-life problem with possible
exciting applications;

2. New analytical techniques for new nonlinear problems with
physical understanding;

3. Numerical simulation revealing possible hidden pearls in
nonlinear sciences.

Electronic submission of manuscripts (in English only) can be
e-mailed (in postscript or PDF file) to Jun Zhang at
******. North America authors can also choose
to send their paper format manuscripts (four copies, please) to:

Professor Jun Zhang
Laboratory for High Performance Scientific Computing
and Numerical Simulation
Department of Computer Science
University of Kentucky
773 Anderson Hall
Lexington, KY 40506-0046

with an indication that the manuscript has never been published in any
language and is not submitted for publication elsewhere simultaneously.
All manuscripts will be peer refereed as soon as possible.

Authors in other geological areas may submit their manuscripts (in
triplicate) to:

Dr. Ji-Huan He
149 Yanchang Road
Shanghai University
Shanghai Institute of Applied Mathematics and Mechanics
Shanghai 200072
P. R. China

or to any other member of the editorial board who is close to the author's
geological location. Please visit the web page above for editorial policy
and other information, including authors and titles of published papers.


From: Marie-Laurence Mazure <>
Date: Sat, 15 Jul 2000 17:06:39 +0200
Subject: Conference on Curves and Surfaces

The fifth international conference "Curves and Surfaces" organized by
AFA-SMAI will take place in Saint-Malo, France, June 27-July 3, 2002.
Organizers: Albert Cohen, Tom Lyche, Marie-Laurence Mazure,
Jean-Louis Merrien, Larry Schumaker.



From: K. Papanikolaou <>
Date: Mon, 17 Jul 2000 20:33:39 -0400
Subject: The WSES Group of Mathematics Conferences


WorldSES reminds the organization of the
annual WSES Group of Mathematics Conferences: NAA 2000,
LAA 2000, DETA 2000, OA 2000, PSOR 2000, CME 2000,
ADISC 2000 and TDG 2000 in Athens, Greece, December, 1-3, 2000

Numerical Analysis and Applications (NAA 2000),
Linear Algebra and Applications (LAA 2000),
Differential Equations and Applications (DETA 2000),
Optimization and Applications (OA 2000),
Probability, Statistics and Operational Research (PSOR 2000),
Computer Mathematics - Education (CME 2000),
Algorithms Theory, Discrete Mathematics, Systems and Control (ADISC 2000)
Topology and Differential Geometry (TDG 2000)

following appropriate links



From: Darrell Ross <>
Date: Tue, 18 Jul 2000 11:53:00 -0400
Subject: SIAM Parallel Processing Conference

Tenth SIAM Conference on Parallel Processing for Scientific Computing
March 12-14, 2001
Renaissance Portsmouth Hotel
Portsmouth, Virginia

August 15, 2000 - Deadline for submission of minisymposium proposals.

September 1, 2000 - Deadline for submission of minisymposium speakers
extended abstracts.

September 1, 2000 - Deadline for submission of extended abstracts for
either a contributed lecture or poster format.

December 4, 2000 - Deadline for papers from accepted authors for
inclusion in proceedings.

To obtain information on electronic submissions, please visit now the
conference Web page at:


From: Svetozar Margenov <>
Date: Thu, 20 Jul 2000 15:57:15 +0300 (DST)
Subject: Conference in Bulgaria on Large-scale Scientific Computations

First Announcement and Call for Registration

Third International Conference on
June 6-10, 2001, Sozopol, Bulgaria

The Central Laboratory on Parallel Processing, Bulgarian Academy of Sciences
in cooperation with the Division of Numerical Analysis and Statistics, Rousse
University, will organize the next ICLSSC. Two special tracks are planned:

I. Computational Linear Algebra
II. LSSC of Engineering and Environmental Problems

Plenary and Invited Speakers

Owe Axelsson(NL), Claude Brezinski(FR), Vladimir Getov(UK),
Michael Griebel(DE), Stefan Heinrich(DE), Ivo Marek(CZ), Zahari Zlatev(DK)

Currently announced Special Sessions

2) MONTE CARLO METHODS by S. Heinrich(DE) and I. Dimov(BG);
V. Getov(UK);
Z. Zlatev(DK) and K. Georgiev(BG);
O. Iliev(DE) and M. Schaefer(DE);


To indicate your intention to attend the conference, please use the possibility
for an Internet registration through the WWW-sites or send an e-mail to the
conference secretary.




From: Dheeraj Bhardwaj <>
Date: Thu, 20 Jul 2000 13:52:34 -0500 (CDT)
Subject: Conference on Parallel Computing For Science & Technology

Recent Developments in Parallel Computing For Science & Technology

October 21-22, 2000

Eastern Illinois University
Institute of Applied Science & Computations
Charleston, IL 61920 (USA)

The conference is to focus on the developments in parallel computing
for large-scale scientific applications.

Keynote Speaker

Dr. John Ziebarth, Deputy Division Chief, NAS Division, NASA-Ames,
Moffett Field CA

Call for Articles

Extended Abstract Sept. 20, 2000 (within 4 pages)
Acceptance of articles Sept. 30, 2000

Organizing Chair

Prof. Suhrit K. Dey,
Department of Mathematics
Eastern Illinois University
Charleston, IL 61920 (USA)
Phone: (217) - 581 - 5727

Organizing Co-Chair

Mr. Bill Witsman
Acting Director,
Information Technology Services
Estern Illinois University
Charleston, IL 61920 (USA)
Phone: (217) - 581 - 3227

A Tutorial on

Writing Parallel Scientific Applications for Clusters

October 20, 2000


Dr. Dheeraj Bhardwaj
Information Technology Services (ITS)
Eastern Illinois University

Clusters are gaining popularity among scientists due to their
cost-effectiveness.The primary drawback of clusters are high network
latency, low bandwidth, parallel I/O and single system image. The
tutorial is focused on how to write highly optimized parallel programs
for clusters using Message Passing Interface (MPI) or Parallel Virtual
Machine (PVM).

For more information


From: Paolo Foschi <>
Date: Fri, 21 Jul 2000 17:59:52 +0200
Subject: Computational Methods in Decision-Making and Finance

CALL FOR PARTICIPATION: Computational Methods in
Decision-Making and Finance

The programme of the 1-day meeting Computational Methods in
Decision-Making and Finance (16th of August 2000, Neuchatel,
Switzerland) is now on line. You can find information about
the programme, registration, publication and accommodation at
the following URL:

Paolo Foschi
Institut d'informatique
Universite de Neuchatel
Rue Emile-Argand 11
Case Postale 2
CH-2007 Neuchatel

Tel: +41 (0) 32 718 27 16
Fax: +41 (0) 32 718 27 01


From: Caren Tischendorf <>
Date: Sat, 22 Jul 2000 11:11:42 +0200
Subject: Colloquium Honoring Roswitha Maerz

On the occasion of Roswitha Maerz's 60th birthday, we organize a one-day

"Scientific Colloquium on Numerical Analysis of Differential Equations"

on Friday, October 20, 2000.

The colloquium will be located at the Institute of Mathematics at the
Humboldt-University of Berlin, where Roswitha has been working for more
than 30 years.

For additional information, please visit the web site

If you plan on attending the colloquium, please register electronically
using the web form there.

Best regards from the Organizing Committee:

Diana Este'vez Schwarz
Rene' Lamour
Caren Tischendorf
Renate Winkler


From: Guy Warzee <>
Date: Sat, 15 Jul 2000 14:46:51 +0200
Subject: Faculty Position at University of Brussels

Faculty of Applied Sciences


We invite applications for one faculty position at the level of
tenure-track "Charge de Cours" (first professorial level) to begin
in October, 2000.

Applicants should hold a Ph.D. and have a demonstrated potential
for research excellence in computer networks and operating systems.
We are particularly interested in candidates whose interests span
theory and applications.

The new faculty member will be expected to contribute creatively
to our research and educational program at all levels and will be
in charge of the following courses:

- ELEC379 Reseaux d'ordinateurs II : complements et applications (th 30h,
ex 30h)
- MATH213 Syst=E8mes d'exploitation I (th 30h, TP 30h)
- MATH309 Syst=E8mes d'exploitation II (th 15h, TP 60h)

Courses are taught in French and candidates should have a good
command of French or be willing to acquire this during the first
year of their appointment.

Additional information about the position can be obtained at the address

The Universite Libre de Bruxelles is a non-discriminating institution.

Universite Libre de Bruxelles


From: Marc Van Barel <>
Date: Mon, 17 Jul 2000 16:15:45 +0200
Subject: Research Position at Katholieke Universiteit Leuven, Belgium

Job Opportunity for Jr. Researcher
( Master of Science in Engineering (Computer Science) /
Mathematician / Informatician )

Project: SLAP: Structured Linear Algebra Package (1-10-2000 to 30-09-2004)

See URL:

Responsibilities: R&D of implementable algorithms in the field of
Structured Numerical Linear Algebra leading to a competitive software package.

Skills and Requirements: Having knowledge of numerical linear algebra and
software engineering, interested and capable of optimal implementation
of suitable algorithms to solve numerical linear algebra problems,
willing to cooperate in a team, willing to publish and present his work.

Duration: 4 years starting from October 1, 2000.

This project can be a perfect preparation to a PhD in this field.

More information: contact as soon as possible
Prof. Dr. ir. Marc Van Barel
Katholieke Universiteit Leuven
Department of Computer Science
Celestijnenlaan 200A
B-3001 Leuven (Heverlee)
Tel : +32+016+32 75 63
Fax : +32+016+32 79 96
E - mail :


From: Luis Nunes Vicente <>
Date: Tue, 18 Jul 2000 11:13:38 +0100 (WEST)
Subject: Research Position at University of Coimbra

Center for Mathematics - University of Coimbra

Research Position

In the framework of a project funded by the European Union
(IST project COCONUT - COntinuous CONstraints: Updating the Technology)

The position is available for at most 3 years. The candidate will join the
Numerical Analysis and Optimization Group of the Center of Mathematics of the
University of Coimbra and will work on the nonlinear optimization component
of a challenging european project on complete solvers for continuous
constraint satisfaction problems.

The position requires a Ph.D in mathematics, operations research, computer
science, or a related area, with a strong emphasis in numerical analysis and
nonlinear optimization. Other essential criteria: excellent oral and written
English communication skills; good scientific computing background.

The salary range is 16161 EURO - 31125 EURO, per year, tax free, depending on
qualifications and experience.

Applications with curriculum vitae, publications list, two letters of
recommendation, and a short description of research interests should be sent
until September 15, 2000 to:

Prof. Luis N. Vicente
Center for Mathematics - University of Coimbra
3001-454 Coimbra

Phone: +351 239 791199
Fax: +351 239 832568


From: Daniel Pierce <>
Date: Thu, 20 Jul 2000 18:07:54 -0700
Subject: Applied Mathematics Positions at The Boeing Company

The Mathematics and Engineering Analysis group at Boeing has
immediate openings in the areas of:
Geometry & Approximation Theory
Linear Algebra
Operations Research
Probability and Statistics
In most cases a Ph.D. is required. However, an MS with a strong
background in computational science or one of the fields above will
also be considered.

Mathematics and Engineering Analysis is part of the Boeing research
and development organization. Besides doing applied R&D, the group
provides software and consultation in the design, manufacture and
support of Boeing products. These include commercial jet transports,
military aircraft and missiles, and space vehicles and systems.

Please send a resume in ASCII or MS Word format to

Boeing is an affirmative action/equal opportunity employer


From: Jeong-Hoon Kim <>
Date: Thu, 23 Mar 2000 13:15:33 +0900
Subject: Postdoctoral Fellowship at Yonsei University, Korea

Brain Korea 21 Postdoctoral Fellowship at Yonsei University in Korea

A number of postdoctoral fellowships in probability, stochastic processes,
stochastic differential equations and/or applied mathematics are available
to suitably qualified holders of the Ph.D degree. Applications are considered
twice a year. The deadlines for applying are August 31st, 2000 and February
28, 2001 respectively. Applicants should speak Korean. Submit a covering
letter, a curriculum vitae, and two or three letters of recommendation to:

Prof. Jeong-Hoon Kim,
Department of Mathematics,
Yonsei University, Seoul 120-749, Korea
(Email: / Phone: +82-2-361-2600)


From: Thomas Hogan <>
Date: Mon, 17 Jul 2000 16:30:32 -0400 (EDT)
Subject: Contents, Journal of Approximation Theory

Table of Contents: J. Approx. Theory, Volume 104, Number 2, June 2000

Paul Nevai

Gerald H. L. Cheang and Andrew R. Barron
A better approximation for balls

Luis Bernal-Gonz\'alez and Mar\'{\i}a Del Carmen Calder\'on-Moreno
Holomorphic $T$-monsters and strongly omnipresent operators

D. S. Lubinsky
On mean convergence of Lagrange interpolation for general arrays

David E. Edmunds and Dorothee D. Haroske
Embeddings in spaces of Lipschitz type, entropy and approximation
numbers, and applications

Manfred Reimer
Hyperinterpolation on the sphere at the minimal projection order

Zhongkai Li and Yuan Xu
Summability of product Jacobi expansions

Maria Skopina
Wavelet approximation of periodic functions

Xiao-Ming Zeng
On the rate of convergence of two Bernstein-B\'ezier type operators for
bounded variation functions, II


Mirta Castro Smirnova
Determinacy of bounded complex perturbations of jacobi matrices

Author index for Volume 104

Table of Contents: J. Approx. Theory, Volume 105, Number 1, July 2000

Hakop A. Hakopian
On the regularity of multivariate Hermite interpolation

Thomas Kunkle
Characterizations of multivariate differences and associated
exponential splines

Ying Guang Shi
On Hermite interpolation

Rafael Esp\'{\i}nola, Andrzej Wi\'snicki, and Jacek Wo\'sko
A geometrical characterization of the $C(K)$ and $C_0(K)$ spaces

Franz Peherstorfer and Robert Steinbauer
Asymptotic behaviour of orthogonal polynomials on the unit circle
with asymptotically periodic reflection coefficients. II.
Weak asymptotics

Peter C. Gibson
Common zeros of two polynomials in an orthogonal sequence

Shaun Cooper and Shayne Waldron
The eigenstructure of the Bernstein operator

Jacek Tabor
Stability of surjectivity

R. deLaubenfels, H. Emamirad, and V. Protopopescu
Linear chaos and approximation


End of NA Digest