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

- MATLAB Conference
- Change of Address for Zhongxiao Jia
- Quadrature for Optimization and Search
- N-dimensional Rotation Matrices
- New Journal, Monte Carlo Methods and Applications
- Software for Mathews Numerical Methods Book
- UMFPACK Version 2.0: General Unsymmetric Sparse Matrix Solver
- Workshop on Numerical Fluid Flow In Spherical Geometry
- SIAM Conference on Numerical Combustion
- Parallel Supercomputing Conference in Japan
- Report on the Second Workshop on Applied Parallel Computing
- Position at University of Bradford, England
- Postdoctoral Position at University of Nottingham.
- Postdoctoral Position at Johannes Kepler University
- Position at UNICAMP, Brazil
- Contents, Linear Algebra and its Applications
- Contents, Computers and Mathematics

**URL for the World Wide Web:**
http://www.netlib.org/na-net/na_home.html
-------------------------------------------------------

From: Cleve Moler <moler@mathworks.com>

Date: Sun, Sept. 17, 1995, 11:51 EST

**Subject: MATLAB Conference**

A quick reminder that the 1995 MATLAB will be held October 16-18,

at the Hyatt Regency Cambridge, overlooking the Charles River,

halfway between Harvard and MIT. We will have invited speakers,

expository and tutorial talks by MathWorks developers and Toolbox

authors, user contributions, minicourses, the MATLAB Lab, and a

party. Further information is available off our home page

http://www.mathworks.com

Or, if you aren't wired to the Web, send me email and we will send

you a conference annoucement.

-- Cleve Moler

moler@mathworks.com

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

From: Zhongxiao Jia <jia@Mathematik.Uni-Bielefeld.DE>

Date: Mon, 11 Sep 1995 16:55:53 +0200 (MET DST)

**Subject: Change of Address for Zhongxiao Jia**

Dear colleagues,

I will begin to work at a new institution next month. The following

address is valid from now on:

Zhongxiao Jia

Department of Applied Mathematics

Dalian University of Technology

Dalian 116023

P.R. China

Thanks for your attention!

Sincerely yours,

Zhongxiao Jia

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

From: Art Owen <art@playfair.Stanford.EDU>

Date: Mon, 11 Sep 1995 16:04:29 -0700

**Subject: Quadrature for Optimization and Search**

I would like to get some pointers to the literature on the following

problem area:

Given the function f(x,t), integrate out x to obtain the function I(t).

Suppose interest centers on minimizing I over t, or on finding t to solve

I(t) = 0. In the second problem t and I may be vectors of the same dimension.

An obvious approach to this is to pick a good quadrature rule in x, and

approximate I(t) by \sum w_i f( x_i, t ) and then optimize or solve using

the approximation. Another approach is to use points x_i(t) that depend

on t. Under the former method, the x_i must be good "uniformly in t".

Under the second rule there could be unpleasant numerical artifacts if

x_i is not a smooth function of t.

Where might I find a good discussion of how to solve these problems,

and of the resulting error analysis?

[For random x_i and w_i==1, the problem looks like statistical asymptotics.

It may be possible to modify statistical analysis, but I'd hate to reinvent

a wheel.]

-Art Owen, Dept Statistics, Stanford University

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

From: Robert Nachbar <robert_nachbar@Merck.Com

Date: Fri, 15 Sep 1995 16:51:44 -0400

**Subject: N-dimensional Rotation Matrices**

I'm working with n-dimensional vector spaces that are generated from

N-dimensional (n<<N) distance matrices by embedding (diagonalization involved).

Because of the symmetries in the various examples, one obtains degenerate

subspaces. These subspaces are not optimally oriented with respect to special

rows/columns of the distance matrix due to the nature of the diagonalizer. What

I would like to do is reorient the the subspace so that the projections of the

special points fall on the axes or in coordinate hyper-planes. For example,

with n=4, I want {w1,x1,y1,z2}.R1 -> {w1',0,0,0} (R1 is 4*4). then, once I've

fixed the first point, then I want to fix the second, say {w2,x2,y2,z2}.R2 ->

{w2',x2',0,0} (R2is 4*4). In fact, the second step could be simplified to

{x2,y2,z2}.R2' -> {x2',0,0} (R2' is 3*3).

Can anyone point me in the right direction for an algorithm or cite a

pertainant reference?

Thanks in advance,

Bob

Dr. Robert B. Nachbar Merck Research Laboratories 908/594-7795

nachbar@merck.com RY50S-100 908/594-4224 FAX

PO Box 2000

Rahway, NJ 07065

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

From: Karl Sabelfeld <karl@osmf.comcen-1.nsk.su>

Date: Sun, 10 Sep 1995 06:20:35 GMT

**Subject: New Journal, Monte Carlo Methods and Applications**

This year a new international journal "Monte Carlo

Methods and Applications" started. Three first issues are

available. The publisher is VSP, Utrecht, The Netherlands.

To submit a paper, please send a Latex file to the Editor,

Sabelfeld Karl (karl@osmf.comcen-1.nsk.su) or a hard copy

to

Karl Sabelfeld,

630090, Novosibirsk,

Akad. Lavrentieva, 6

Computing Centre.

Russia.

or to any member of the Editorial Board.

All the information about subscription is available

via E-mail 100341.2372@compuserve.com

Regards,

Karl Sabelfeld,

The Editor.

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

From: John Mathews <mathews@ccvax.fullerton.edu>

Date: Sun, 10 Sep 1995 08:29:25 -0800 (PST)

**Subject: Software for Mathews Numerical Methods Book**

I am glad to announce the availability of:

NUMERICAL METHODS: Mathematica Notebooks

These files are located at:

www.wri.com/MathSource/Publications/BookSupplements/Mathews-1995/0207-874

Also available are:

NUMERICAL METHODS: Matlab; C; FORTRAN; Pascal Programs

The files are located at:

http://www.mathworks.com/pub/books/mathews

Best Regards,

John Mathews

Dept. of Mathematics

California State University Fullerton

Fullerton, CA 92634 USA

E-mail: mathews@fullerton.edu

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

From: Tim Davis <davis@cis.ufl.edu>

Date: Thu, 14 Sep 1995 12:28:24 -0400

**Subject: UMFPACK Version 2.0: General Unsymmetric Sparse Matrix Solver**

I would like to announce the release of UMFPACK Version 2.0, the unsymmetric-

pattern multifrontal package.

UMFPACK Version 2.0 is a package for solving systems of sparse linear systems,

Ax=b, where A is sparse and can be unsymmetric. It is written in ANSI Fortran

77. There are options for choosing a good pivot order, factorizing a

subsequent matrix with the same pivot order and nonzero pattern as a

previously factorized matrix, and solving systems of linear equations with

the factors (with A, L, or U, or their transposes). Iterative refinement,

with sparse backward error estimates, can be performed. Both single and

double precision routines are available. UMFPACK Version 2.0 is based on a

combined unifrontal/multifrontal algorithm that enables a general fill-in

reduction ordering to be applied but avoiding some of the data movement of

previous multifrontal approaches. Version 2.0 is up to twice as fast as

Version 1.1, and uses at little as half the memory. For some matrices,

Version 2.0 has about the same performance as Version 1.1. The improvement

obtained depends on the matrix, and how much can be gained from exploiting

unifrontal-style data movement.

UMFPACK Version 2.0 is available via anonymous ftp to

ftp.cis.ufl.edu:pub/umfpack/UMFPACK2.tar.gz, and in NETLIB

(http://www.netlib.org/linalg/umfpack2.tar.gz). Some licensing restrictions

apply. For related technical reports, see http://www.cis.ufl.edu/~davis

(you can also obtain UMFPACK Version 2.0 from my home page).

Tim Davis

Joint work with Iain Duff, Rutherford Appleton Laboratory.

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

From: Steve Hammond <hammond@niwot.scd.ucar.EDU>

Date: Mon, 11 Sep 1995 16:56:06 -0600

**Subject: Workshop on Numerical Fluid Flow In Spherical Geometry**

PRELIMINARY ANNOUNCEMENT

FIFTH WORKSHOP ON NUMERICAL METHODS FOR COMPUTING

FLUID FLOW IN SPHERICAL GEOMETRY

(PDEs on the Sphere)

June 11-14, 1996

Breckenridge, Colorado

BACKGROUND:

As part of the DOE CHAMMP program a workshop on 'Numerical solutions

of fluid flow in spherical geometry' will be held in Breckenridge,

Colorado, June 11-14, 1996. This is the fifth in the series of meetings

which have been hosted on a rotating basis by Argonne National Laboratory,

the National Center for Atmospheric Research, and Oak Ridge National

Laboratory.

PROGRAM:

The primary emphasis of the workshop is:

The development of new methods for and application of new and existing

methods for computing fluid flow in spherical geometry; in particular,

how new methods eliminate shortcomings of current methods and how

they address the problems unique to spherical geometry. Application

to the shallow water equations and to complete baroclinic models

are of interest as well as pure transport for chemistry models.

The workshop will also cover:

1. Topics of interest include monotone advection, geodesic grid systems,

TVD methods, flux correction methods, vector and scalar spectral methods,

alternative discretizations, and Eulerian and semi-Lagrangian methods.

These can be applied to three dimensional baroclinic equations, two

dimensional shallow water equations, or pure transport in spherical

geometry.

2. The presentation of results from current or new methods is encouraged.

The comparison of these methods is facilitated by application to

standard test sets.

3. Performance of current methods of choice and new methods on parallel

computers, including limitations associated with algorithm and computer

design are appropriate. Implementation details for distributed

and shared memory architectures as well as discussion of attendant

difficulties are of interest. Characteristics of parallel computers that

may affect computational algorithms, in particular, future design

aspects could be considered as they might affect algorithm

implementation.

ORGANIZING COMMITTEE:

The organizing committee for the workshop consists of:

James Hack (jhack@ncar.ucar.edu, (303) 497-1387)

Steven Hammond (hammond@ncar.ucar.edu, (303) 497-1811)

Paul Swarztrauber (pauls@ncar.ucar.edu, (303) 497-1220)

David Williamson (wmson@ncar.ucar.edu, (303) 497-1372)

Please contact the organizing committee if you have any questions

about the conference program.

LOCATION:

The workshop will be held at the Beaver Run Resort in the victorian

town of Breckenridge, Colorado. Breckenridge is located approximately

2 hours west of Denver International Airport. Hourly shuttle service

is available between DIA and Breckenridge.

For questions concerning the conference logistics please contact:

Karen Friedman

Scientific Computing Division

NCAR

P.O. Box 3000

Boulder, CO 80307

(303) 497-1276

FAX: (303) 497-1804

karen@ncar.ucar.edu

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

From: Trini Flores <flores@siam.org>

Date: Tue, 12 Sep 95 16:23:19 EST

**Subject: SIAM Conference on Numerical Combustion **

SIAM Conference on Numerical Combustion

March 4-6, 1996

Le Meridien Hotel, New Orleans, Louisiana

The Call for Papers is accessible through the World Wide Web. Point

your browser to: http://www.siam.org/meetings/co96/cfp/co96home.htm

The deadline for submission of an extended abstract is SEPTEMBER 25.

Send submissions to: meetings@siam.org

The Preliminary Programs, hotel and registration information, for the

1995 SIAM Annual Meeting and the 1995 SIAM Conference on Geometric

Design are now available through the World Wide Web. Point your

browser to the following URLs, respectively:

http://www.siam.org/meetings/an95/an95home.htm

http://www.siam.org/meetings/gd95/gd95home.htm

The Call for Participation for the following conferences are likewise

on the World Wide Web:

1996 SIAM Conference on Optimization

http://www.siam.org/op96/op96home.htm

1996 SIAM Workshop on Computational Differentiation

http://www.siam.org/ad96/cfp/ad96home.htm

1996 SIAM Conference on Discrete Mathematics

http://www.siam.org/dm96/cfp/dm96home.htm

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

From: Hirofumi Amano <amano@cc.kyushu-u.ac.jp>

Date: Sat, 16 Sep 95 15:08:47 +0900

**Subject: Parallel Supercomputing Conference in Japan**

Dear Colleagues,

Though we have very little time left, we are going to have:

International Symposium on Parallel and Distributed

Supercomputing (PDSC'95)

on September 26-28 in Fukuoka, Japan. The WWW page for the symposium

is now available at:

http://www.nc.kyushu-u.ac.jp/PDSC95.html

Some of the highlights of this symposium are:

KEYNOTE ADDRESSES

Practical Parallel Processing

David Kuck (Kuck & Associates)

Parallel Computation: Views from End-User Pragmatism

Takao Tsuda (Kyoto Univ.)

INVITED TALKS

The Effect of Optimizing Compilers on Architecture and Programs

Michael Wolfe (Oregon Graduate Institute)

Application of Program Dependence Analysis in Distributed Software

Engineering

Jingde Cheng and Kazuo Ushijima (Kyushu Univ.)

A Multicomputer HPC Platform: Experiments and Outcomes

Bob Gingold (Australian National Univ.)

Emerging Supercomputer Applications in Information Infrastructure

George Cybenko, Carl Beckmann, Robert Gray, Katsuhiro Moizumi

(Dartmouth College)

Massively Parallel Processing System Jump-1

Hidehiko Tanaka (Univ. Tokyo)

Vienna Fortran and the Path Towards a Standard Parallel Language

Barbara Chapman (Univ. Vienna), Piyush Mehrotra (NASA Langley Res.

Center), Hans P. Zima (Univ. Vienna)

Hirofumi Amano

Computer Center

Kyushu University

Hakozaki, Higashi, Fukuoka 812-81

Japan

Phone: (+81)-92-641-1101 Ext. 2510

FAX: (+81)-92-631-3196

E-mail: amano@cc.kyushu-u.ac.jp

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

From: Jerzy Wasniewski <unijw@unidhp1.uni-c.dk>

Date: Fri, 15 Sep 1995 16:26:07 +0200 (METDST)

**Subject: Report on the Second Workshop on Applied Parallel Computing**

Report on the Second Workshop on Applied Parallel Computing, PARA95

The Second International Workshop on Applied Parallel

Computing in Physics, Chemistry and Engineering Science

(PARA95), and the Tutorial on ScaLAPACK and Parallel NAG

Library on IBM SP2 and SGI Power Challenge were held in Lyngby,

Denmark August 21-24, 1995. The Conference was organized and

sponsored by the Danish Computing Centre for Research and

Education (UNI*C) and the Institute of Mathematical Modelling

(IMM) of the Technical University of Denmark (DTU). Support was

also received from the Danish Natural Science Research Council

through a grant for the EPOS project (Efficient Parallel

Algorithms for Optimization and Simulation) and from the IBM

and SGI computing organizations.

The Workshop was preceded by a one-day Tutorial on ScaLAPACK

and the Parallel NAG Library. The ScaLAPACK (Linear Algebra

Package for Parallel Distributed Memory Computers) and the

Parallel NAG (Numerical Algorithms Group) Library were

presented and discussed. During the Tutorial time was allocated

for practical exercises on the IBM SP2 and SGI Power Challenge

computers. More than 60 people attended the Tutorial.

The Workshp attracted more than 90 participants from around

the world. Authors from 17 countries submitted 60 papers,

of which 12 were invited and 48 were contributed. There were

three parallel sessions.

The conference was opened by remarks from Professor Kaj

Madsen (Technical University of Denmark) and Professor Dorte

Olesen (The Danish Computing Centre for Research an Education).

Tuesday 22 August, 1995:

Paul Woodward (University of Minessota), "Using clusters of

shared memory multiprocessors to simulate turbulent fluid

flows".

Aake Nordlund (Copenhagen University), "Visualizing

astrophysical MHD turbulence".

Ahmed Sameh (University of Minessota), "Parallel algorithms

for block tridiagonal systems".

Zahari Zlatev (Danish Environmental Research Institute),

"Parallel computations with large atmospheric models"

Wednesday 23 August, 1995:

Rob Bisseling (University of Utrecht), "Sparse matrix

computations on bulk synchronous parallel computers".

Peter Lomdahl (Los Alamos National Laboratory),

"Multi-million particle molecular dynamics on MPPs".

Jerzy Wasniewski (the Danish Computing Centre for Research

and Education, UNI*C), "Portable parallel numerical

libraries".

Jack Dongarra (Tennessee University and Oak Ridge National

Laboratory), "Templates and client server computing for

linear algebra".

Fred Gustavson (IBM Research Centre), "An efficient 3d

parallel algorithm for matrix multiplication".

Thursday 24 August, 1995

James Glimm (University at Stony Brook), "Front tracking: A

parallelized CFD method for internal boundaries and

interfaces".

Alex Krasnitz (University of Copenhagen), "Lattice field

theory in a parallel environment".

Antonio Lagana (University of Perugia), "Parallel approaches

to the solution of reactive scattering equations".

Martyn Guest (CCL, Daresbury Laboratory), "High performance

computational chemistry: NWCHEM and fully distributed

parallel algorithms".

Due to the excellent work of the organizing committee the

Workshop went very smoothly. The informality of the meeting gave

the participants much time to converse with new and old colleagues.

Tuesday afternoon saw the Inauguration of the new supercomputer

IBM SP2, followed by the PARA95 reception. IBM contributed 120

bottles of champagne.

On Wednesday night conference participants met at the "Peter

Liep" restaurant, Dyrehaven, where Professor Knut Conradsen

(Technical University of Denmark) gave a very entertaining

speech after an excellent dinner.

The PARA95 papers, both invited and submitted, will be

published by Springer-Verlag in their Lecture Notes in Computer

Science series.

Jack Dongarra & Jerzy Wasniewski

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

From: P. R Graves-Morris <P.R.Graves-Morris@bradford.ac.uk>

Date: Wed, 13 Sep 1995 14:40:05 +0100 (BST)

**Subject: Position at University of Bradford, England**

CHAIR IN APPLIED MATHEMATICS, UNIVERSITY of BRADFORD, ENGLAND.

This new post of professor (or reader) in applied mathematics has

been created as part of the university's policy of excellence in

research. Aimed at strenghthening and reinforcing the existing

wide-ranging research carried out by the department, it should

also raise the department's profile in a number of new areas,

including the university's science and engineering departments

and industry.

Appropriately qualified applicants from either an industrial or

an engineering background must have an established international

reputation in original research, including recent quality

publications. Their research interests should ideally complement

or reinforce existing strengths in heat/mass transfer, computational

PDEs, or solid and fluid mechanics.

Further particulars and an application form (quoting ref CRM/NANET)

are available from the Personnel Office at Bradford University,

Bradford, West Yorkshire BD7 1DP, England, or by phoning the

office on 0044-1274-383105, or by FAX on 0044-1274-385009.

Closing Date for applications: 6 October 1995.

P.R.Graves-Morris.

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

From: Paul Matthews <etzpcm@thmech.nottingham.ac.uk>

Date: Wed, 13 Sep 1995 11:57:54 +0100

**Subject: Postdoctoral Position at University of Nottingham.**

Postdoctoral Research Opportunity

Applications are invited for a 3-year postdoctoral research assistant

in the Department of Theoretical Mechanics at the University of

Nottingham. The project title is

`The effect of rotation on the formation of buoyant flux tubes in the Sun'

and funding is from the Particle Physics and Astronomy Research Council.

Applicants should hold, or expect to obtain in the near future, a PhD

in an applied mathematical discipline. Some knowledge of numerical

methods and fluid mechanics will be required.

The project will be based in Nottingham under the joint direction

of Dr.P.C.Matthews (University of Nottingham), Prof.D.W.Hughes

(University of Leeds) and Dr.M.R.E.Proctor (University of Cambridge).

The proposed start date is 1 January 1996.

Applications, including a full CV and the names and addresses of two

academic referees, should be made in writing to

Dr.P.C.Matthews, Department of Theoretical Mechanics, University of

Nottingham, Nottingham NG7 2RD, UK.

There is no application form.

The closing date for applications is 31 October 1995.

Informal enquiries may be made to:

Dr.P.C.Matthews (Tel: 0115 951 3840, email: paul.matthews@nottingham.ac.uk)

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

From: Heinz W. Engl <engl@indmath.uni-linz.ac.at>

Date: Fri, 15 Sep 1995 11:07:37 EDT

**Subject: Postdoctoral Position at Johannes Kepler University**

Open Postdoc Positions in Industrial Mathematics

At the Chair for Industrial Mathematics at the Johannes Kepler

Universitdt in Linz (Austria), a full-time research position is to be

filled immediately (now for 18 months, renewable for up to 4 years).

The position is financed by industry and involves research in inverse

problems, especially in connection with parameter identification and

inverse heat conduction problems that arise in steel industry. Good

knowledge about the numerical solution of pdes is essential,

knowledge about inverse problems is desirable. The gross annual

salary will be (depending on prior experience and age) between

360.000 and 420.000 Austrian Schilling. Citizens of E.C. countries

and of Switzerland and Norway do not need visa or work permit, others

do.

In a few months, a second position of the same type will probably be

open.

Applications should be sent to Prof.Heinz W. Engl, Chair for

Industrial Mathematics, Johannes Kepler Universitdt, A-4040 Linz,

Austria.

E-Mail: engl@indmath.uni-linz.ac.at

Information about the Chair for Industrial Mathematics can be

obtained in the WWW at

http://www.indmath.uni-linz.ac.at/

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

From: Francisco de A.M.Gomes Neto <chico@ime.unicamp.br>

Date: Wed, 13 Sep 95 16:30:27 EST

**Subject: Position at UNICAMP, Brazil**

OPERATIONS RESEARCH/INDUSTRIAL ENGINEERING

FACULTY POSITIONS

The Department of Applied Mathematics of the State University

of Campinas (UNICAMP) invites applications for faculty positions in

the area of operations research/industrial engineering. A Ph.D. or

equivalent qualification is required.

Appointments are for three years initially with possible

extension.

Candidates are expected to contribute to research and teaching

activities in a system oriented program on production research.

Applications to arrive by *October 31, 1995* should consist of

a full c. v. including a list of publications, and names and addresses

of at least two referees.

Applications and requests for information should be addressed to:

Prof. Jose Plinio de Oliveira Santos

IMECC/UNICAMP

Caixa Postal 6065

13083-970 Campinas, SP

Brazil

Tel.: + 55 192 397900

Fax: + 55 192 395808

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

From: Richard Brualdi <brualdi@math.wisc.edu>

Date: Mon, 11 Sep 1995 15:45:04 -0500 (CDT)

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

LINEAR ALGEBRA AND ITS APPLICATIONS

Contents Volume 229, November 1, 1995

Krzysztof C. Kiwiel (Warsaw, Poland)

Iterative Schemes for the Least 2-Norm Solution of Piecewise

Linear Programs 1

Changqin Xu (Heifei, Anhui, People's Republic of China)

Bellman's Inequality 9

Isabel Faria (Lisboa, Portugal)

Multiplicity of Integer Roots of Polynomials of Graphs 15

F. A. Arlinghaus (Youngstown, Ohio), L. N. Vaserstein

(University Park, Pennsylvania), and Hong You

(Changchun, People's Republic of China)

Products of Involutory Matrices Over Rings 37

Carmine Di Fiore and Paolo Zellini (Roma, Italy)

Matrix Decompositions Using Displacement Rank and

Classes of Commutative Matrix Algebras 49

Khalide Jbilou (Villeneuve d'Ascq, France)

Projection-Minimization Methods for Nonsymmetric Linear Systems 101

Jin-Hsien Wang (Kaohsiung, Taiwan, Republic of China)

Sums and Products of Two Quadratic Matrices 127

John A. Holbrook (Guelph, Ontario, Canada)

Interpenetration of Ellipsoids and the Polynomial Bound of a

Matrix 151

H. Hu (DeKalb, Illinois)

Positive Definite Constrained Least-Squares Estimation of Matrices 167

Yixun Shi (Bloomsburg, Pennsylvania)

Solving Linear Systems Involved in Constrained Optimization 175

Author Index 191

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

From: George Anastassiou <anastasg@hermes.msci.memphis.edu>

Date: Fri, 15 Sep 1995 12:31:03 CDT

**Subject: Contents, Computers and Mathematics**

An International Journal

COMPUTERS AND MATHEMATICS

with Applications

Editor in Chief: Ervin Y. Rodin

Special issue on "Concrete Analysis"

Guest Editor

George A. Anastassiou

Publisher

Peramon

Contents Volume 30, Number 3-6, Sept. 1995

CONCRETE ANALYSIS

G. A. Anastassiou XV Preface

J. A. Adell and J. de la Cal 1 Bernstein-Durrmey Operators

G. A. Anastassiou 15 Comparison Theorems on Moduli

of Continuity

C. Badea 23 K-Functionals and Moduli of

Smoothness of Functions

Defined

G. Baszenski, F. J. Delvos 33 A United Approach to

Accelerating Trigonometric

Expansions

L. Chong and G. A. Watson 51 Characterization of a Best and

Unique Best Approximation

from Constrained Rationals

H. Esser, St. J. Goebbels, 59 Sharp Error Bounds for the G.

Luttgens and R. J. Nessel Crank-Nicolson and Saulyev

Difference Scheme in

Connections with an Initial

Boundary Value Problem for the

Inhomogeneous Heat Equation

B. Germano, P. Natalini 69 Computing the Moments of the

and P. E. Ricci Density of Zeros for

Orthogonal Polynomials

H. H. Gonska and 83 Local Smoothness of Functions

D. X. Zhou and Bernstein-Durrmeyer

Operators

H. H. Gonska and 103 The Strong Converse Inequality

X. I. Zhou for Berstein-Kantorovich

Operators

C. W. Groetsch 129 Regularized Product

Integration for Hadamard

Finite Part Integrals

Y. K. Hu 137 Positive and Copositive Spline

Approximation in Lp {0,1}

R. K. Kovacheva 147 A Note on the Limiting

Distribution of the Zeros of

Pade' Approximants

for Some Classes of Functions

G. Mastroianni and 155 Interlacing Properties of the

D. Occorsio Zeros of the Orthogonal

Polynomials and Approximation

of the Hilbert Transform

J. Prestin and F. Sprengel 169 Multivariate Trigonometric

Wavelet Decompositions

J. B. Prolla 183 Semilattices and Lattices of

Bounded Continous Functions

B. Shekhtman 191 Interpolation of Individual

Functions

J. Shi and R. Huotari 197 Simultaneous Approximation

From Convex Sets

O. Shisha 207 The Genesis of the Generalized

Riemann Integral

A. K. Varma and E. Landau 213 New Quadrature Formulas Based

on the Zeros of Jacobi

Polynomials

W. R. Wade 221 A Walsh System for Polar

Coordinates

M. Weba 229 Cubature of Random Fields by

Product-Type Integration Rules

R. A. Zalik 235 Some Remarks on Spectral

Approximation

M. Zhou and G. A. 243 Some Saturation Properties of

Anastassiou the Representation Formulate

for {C_o} m-Parameter Operator

Semigroups

M. Bartelt and W. Li 255 Error Estimates and Lipschitz

Constants for Best

Approximation in Continuous

Function Spaces

M. Campiti, G. Metafune 269 Uniformly Convergent Lagrange-

and D. Pallara Type Approximation

B. L. Chalmers and 277 The Geometry of Minimal Shape-

M. P. Prophet Preserving Projections Onto

II_n

Z. Ciesielski 283 Fractal Functions and Schauder

Bases

S. Dahlke and P. Maass 293 The Affine Uncertainty

Principle in One and Two

Dimensions

M. He 307 The Faber Polynomials for

Circular Lunes

T. X. He 317 Shape Criteria of Bernstein-

Bezier Polynomials Over

Simplexes

O. Kounchev 335 Optimal Recovery of Linear

Functionals of Peano Type

through Data on Manifolds

E. B. Lin 353 Multi-Dimensional Wavelet

Stieltjes Transforms

K. Marti 361 Differentiation of Probability

Functions: The Transformation

Method

R. N. Mohapatra, 383 Norm Inequalities which Yield

F. Salzmann and D. Ross Inclusion for Euler Sequence

Spaces

T. Nishishiraho 389 Approximation Processes with

Respect to Positive

Multiplication Operators

P. E. Ricci 409 Improving the Asympototics for

the Greatest Zeros of Hermite

Polynomials

F. Feher and M. J. Strauss 417 Weak-Type Interpolation and

Orbits

M. Genuit and 433 A Problem of L. Campbell on

G. Schottler the Equivalence of the

Kramer and Shannon Sampling

Theorems

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

End of NA Digest

**************************

-------