NA Digest Sunday, August 27, 1995 Volume 95 : Issue 34

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

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URL for the World Wide Web: -------------------------------------------------------

From: Edmond Nadler <>
Date: Wed, 23 Aug 1995 20:47:47 +0000 (GMT)
Subject: Need Algorithm to Solve Matrix Equation

I am looking for a fast algorithm to solve the following equation
for the matrix X, and would appreciate any suggestions.

    Sum_i (A_i * X * B_i)  =  C

A_i and B_i are square, symmetric, banded matrices,
with bandwidth typically 7 (i.e., 3 above and 3 below the main diag.);
A_i mXm, X & C mXn, B_i nXn,
where m & n can go up to 100 or so;
typically 3 terms in the sum.

A_i and B_i are actually inner products of sets of B-Splines
(and their derivatives),
so if the solution that takes advantage of that,
so much the better.

Thank you very much.

Edmond Nadler
Cimatron Ltd.
Givat Shmuel, Israel


From: Aaron Naiman <>
Date: Mon, 21 Aug 1995 11:55:23 +0300
Subject: Slides for Numerical Analysis Course

Dear fellow numerical analysts,

During the Spring '95 semester, I taught a course in Numerical
Methods. Inspired by Pete Stewart's Numerical Analysis Afternotes
(see, I decided to write up my
notes (also after the fact). One main difference between the
Afternotes and my notes is that I have prepared (LaTeX) slides of my
classes, and plan to use them in future courses.

An additional difference is that I taught engineers, and therefore the
course was not all that theorem-oriented. The notes follow very
closely the text I used: Numerical Mathematics and Computing, Third
Edition by Ward Cheney & David Kincaid. c 1994 by Brooks/Cole
Publishing Company.

If you are interested, please contact me at .

Happy computing!

Aaron Naiman

Aaron Naiman | Jerusalem College of Technology | University of Maryland, IPST
(Aharon) | |


From: Olivier Goyon <>
Date: Fri, 25 Aug 1995 18:37:29 --100
Subject: Discrete Inequalities

Dear colleagues,
I am currectly interested in transposing the proofs of existence and
uniqueness with continuous operators into discrete ones (finite difference).
Does anyone have any references about this, for example discrete
versions of inequalities like Poincare's one.

Olivier GOYON


From: Christoph Schmid <>
Date: Fri, 25 Aug 1995 11:55:55 +0200
Subject: Fortran Program Performance Tools

As part of a research project I am evaluating and developing tools for the
performance analysis of Fortran programs. The aim is to make it as easy as
possible to find out if a program exploits the hardware resources to a
satisfactory degree or, if not, which parts of the program are responsible for
the performance degradation and what kinds of improvement are to be made.

I would be glad if you could tell me about the existence of such tools and how
I could get them.

Yours sincerely,
Christoph Schmid

Christoph Schmid email:
Inst. f. Applied a. Numerical Mathematics
Technical University Vienna
Wiedner Hauptstrasse 8-10
A-1040 Vienna FAX: +43 1 586 80 93


From: Qiao Sanzheng <>
Date: Mon, 21 Aug 1995 09:33:22 +0800
Subject: Change of Address for Sanzheng Qiao

My new address is:

Qiao Sanzheng
Department of Electronic Engineering
City University of Hong Kong
Tat Chee Avenue
Kowloon, Hong Kong
Phone: (852)2788-7783
Fax: (852)2788-7791


From: Floyd Hanson <>
Date: Sat, 26 Aug 95 19:04:14 -0600
Subject: Change of Address for Floyd Hanson

I have returned to my permanent position after a year on sabbatical leave:

Professor Floyd B. Hanson
Laboratory for Advanced Computing
Department of Mathematics, Statistics, and Computer Science
University of Illinois at Chicago
851 S. Morgan St., 322SEO, MC 249
Chicago, IL 60607-7075

OfficeTel: 312-413-2142
DeptTel: 312-996-3041
DeptFax: 312-996-1491


From: Sven Hammarling <>
Date: Tue, 22 Aug 95 15:04:22 +0100
Subject: Temporary Change of Address for Sven Hammarling

As from 1st September I shall be spending a sabbatical year at the
University of Tennessee at Knoxville. My address will be:

Sven Hammarling
Department of Computer Science
University of Tennessee
107 Ayers Hall
Knoxville, TN 37996-1301

Email: ( will also still work)
Tel: +1 615 974 8295
Fax: +1 615 974 8296


From: Jeanne Butler <>
Date: Mon, 21 Aug 1995 07:46:03 -0400
Subject: Cornell Theory Center Workshop

October 23 - 26, 1995
Cornell Theory Center
Ithaca, NY
Registration deadline: September 26, 1995

Cornell Theory Center (CTC), a nationally funded high performance
computing center, is offering a series of workshops on parallel
programming techniques for its IBM RS/6000 Scalable POWERparallel SP.
This workshop series begins with two days of introductory sessions,
designed to help parallel programming novices get started. This is followed
by a new offering: two days of special topics, to address the needs of
intermediate and expert parallel programming practitioners. These
workshops are offered consecutively, allowing participants to register for
the specific days or sessions that meet their needs.

CTC's SP consists of 512 RISC processors connected by a high
performance switch. The size and power of this system, which is the largest
of its kind in the world, allow parallel programmers to decrease the
wallclock time needed to run their programs, or to attack larger problems by
running over larger numbers of nodes. The SP programming model is
distributed memory.

Registration is on a daily basis for Day 1 and Day 2 of the workshop. Day 1
covers introductory material on parallel programming with emphasis on
CTC's SP. Day 2 covers MPI, a message passing library standard for
parallel programming. While Day 1 is designed for parallel programming
novices, Day 2 is intended for both novices and more experienced
programmers. Both days include extensive hands-on labs on the IBM SP.

Registration for Day 3 and Day 4 is on a session-by-session basis. The
special topics sessions offered on these two days take a more in-depth look
at specific issues in high performance computing, and are designed for
intermediate and expert parallel programmers.

This announcement can also be found on the internet via the World Wide
Web at:

Or can be retrieved via ftp from:


From: Pasquale Schiano <>
Date: Fri, 25 Aug 95 14:04:13 +0200
Subject: Parallel CFD '96 Conference in Italy

MAY 20-23, 1996

Implementations and Results Using Parallel Computers

CAPRI, ITALY -- MAY 20-23, 1996
Europa Palace Hotel
organized by

Conference Objective:
To discuss recent developments and applications of Parallel Computing in CFD.

Subject area:
Novel parallel algorithms, parallel Euler and Navier Stokes solvers, parallel
multigrid techniques, parallel implicit schemes, parallel unstructured
solvers, parallel flow visualization and grid generation.

Applications of interest include (but are not limited to):
reacting flows, rarefied gas flows, multiphase flows, turbulence, hypersonic
reentry problems, aerodynamic flows, climate modelling, parallel computing in
aeronautics, astronautics, mechanical engineering, vehicle design and
environmental engineering

European Managing Committee

P. Schiano (CIRA, Italy)

D. Emerson (CLRC,UK)
A. Geiger(RUS,Germany)
J. Periaux(Dassault Aviation,France)

Scientific and Organizing Committe

R.K.Agarwal, Wichita State University C.A.Lin, National Tsing Hua Univ.
R. Blech, NASA Lewis D.Mc Carthy, Boeing
B.Chetveruskin, Russian Academy of Science R.Peltz, Rutgers University
A.Ecer, IUPUI N.Satofuka, Kyoto Inst. of Tech.
I.Foster, Argonne National Laboratory V.Saxena, IBM
P. Fox, IUPUI S.Taylor, California Inst. of Tech.
J.Haeuser, Center for Logistic and Expert M.E.S. Vogels, NLR
C.Jenssen, SINTEF D. Weaver, Phillips Laboratories
P. Leca, ONERA

Detailed information can be obtained through the World-Wide-Web at:


From: Trini Flores <>
Date: Fri, 25 Aug 95 12:47:42 EST
Subject: Conference on Numerical Combustion

Sixth International Conference on NUMERICAL COMBUSTION

March 4-6, 1996
Le Meridien New Orleans Hotel
New Orleans, Louisiana

Conducted by SIAM with the cooperation of Institut National de
Recherche en Informatique et en Automatique (INRIA)

This conference is designed to bring together computational
scientists, research and design engineers, and mathematical and
physical scientists who are interested in the interdisciplinary
area of numerical combustion.

The conference will highlight the mutual interaction of designers,
experimentalists, computational experts, and mathematicians in the
development of new ideas and methods in the study of combustion.


The themes of the conference include, but not limited to:

o Turbulence o Kinetics o Detonation o Flames
o Pollution o Microgravity o Applications of parallel
processing o Materials synthesis
o Droplets and sprays o Ignition o Heterogeneous combustion
o Energetic materials (propellants)
o Simulation of internal engine and furnace combustion


The Transport of Combustion Products from Fires
Howard Baum
National Institute of Standards and Technology

State-of-the-Art in IC Engine Combustion Modeling
Sherif El-Tahry
General Motors Research Laboratories

Numerical Simulation of Premixed Flame Propagation in Closed Tube
Kunio Kuwahara
The Institute of Space and Astronautical Science, Japan

Coupling of Chemical Kinetics with Flow and Molecular Transport
Ulrich Maas
Konrad-Zuse-Zentrum fur Informationstechnik Berlin, Germany

Direct Simulations and Modeling of Flame/Wall Interactions
Thierry Poinsot

The Dynamics of Multi-Dimensional Detonation
D. Scott Stewart
University of Illinois, Urbana


John Buckmaster (Co-Chair)
Mitchell Smooke (Co-Chair)
D. Scott Stewart (Co-Chair)
Roland Borghi
Sebastian Candel
Robert Kee
Bernard Larrouturou
Elaine Oran
Norbert Peters
Bernd Rogg
Tadao Takeno
Jurgen Warnatz
Charles Westbrook
Forman A. Williams


Additional information regarding the conference can be accessed
in electronic format through the World Wide Web:


From: Paul VanDooren <>
Date: Sun, 20 Aug 95 15:02:21 CDT
Subject: Position at Catholic University of Louvain


Academic Position at Catholic University of Louvain (Louvain-la-Neuve -
Belgium), Department of Mathematical Engineering.

The Department of Mathematical Engineering invites applications for an
academic appointment in mathematical engineering, with preference for one
of the following topics :

- numerical analysis and scientific computing
- stochastic modelling
- discrete mathematics, combinatorics, graphs and algorithms
- mathematical system theory
- optimisation and variational calculus.

The applicant will have a teaching load in applied mathematics. Applicants
should demonstrate both breadth of interest and promise in research and
teaching. Tenured positions will be considered but appointment rank will
depend on the candidates and their records ofaccomplishment. Applicants
will be expected to teach in French, possibly after a certain transition

The Catholic University of Louvain is a 550 year old university located
on a new university campus created in 1972 in Louvain-la-Neuve. The new
campus now has over 20,000 students and about 5,000 members of staff.

The Mathematical Engineering Department hosts research programs in the
different topics listed above. The department also has close ties with the
Center for Operations Research and Econometrics (CORE), the Center for
Systems Engineering and Applied Mechanics (CESAME) and the Institute for
Pure and Applied Mathematics (MAPA).

The applicant should have a doctoral degree in engineering (or equivalent),
postdoctoral experience, and a recognized scientific publications record.
The appointment will start in October 1996.

The applicants should furnish a curriculum vitae, a list of publications,
an abstract of five selected publications, the name and address of four
referees including two belgian referees who are not members of UCL, before 15
December 1995 to the Rector of the university:

Recteur de l'Universite Catholique de Louvain,
1, Place de l'Universite
B-1348 Louvain la Neuve.

(The reference number of the position N 96/16 should be mentioned)

Further information can be obtained from :

Professor Georges Bastin
Head of the Department of Mathematical Engineering
Catholic University of Louvain
Batiment Euler
4, avenue Georges Lemaitre
B-1348 Louvain-la-Neuve

Fax : + 32 10 47 21 80
Email :


From: Robert Krasny <>
Date: Wed, 23 Aug 1995 16:07:02 -0400
Subject: Position at University of Michigan

Department of Mathematics

The Department of Mathematics at the University of Michigan has
started an initiative in applied, computational and interdisciplinary
mathematics. Several appointments will be made at the tenured and
tenure-track levels. At least one position is designated for a senior
appointment at the Full Professor level. The initiative is searching
broadly for applicants with expertise in applying mathematics to
solve problems in science, engineering, business and/or industry.
Excellence in research and teaching is essential. The positions will
be filled on an ongoing basis.

To apply, send a cover letter and cv by mail to: Prof. B. A. Taylor,
Chairman, Department of Mathematics, University of Michigan, Ann Arbor,
MI, 48109-1003. The University of Michigan is a non-discriminatory
affirmative action employer.


From: PG&E <>
Date: Thu, 24 Aug 95 13:16:49 PDT
Subject: Position at Pacific Gas and Electric

Systems Engineer/Operations Research Analyst - 2 positions

Pacific Gas and Electric Company, the nation's largest
investor-owned combined utility, is currently undergoing dramatic
business changes and is seeking talented people to play a
significant role in this effort. If you are an experienced Systems
Engineer, Technical Consultant or Computer Systems professional,
consider this opportunity to enhance your career. We currently
have the following positions open within our Applications and Systems
Integration department of Computer and Telecommunications Services:

Systems Engineer/Operations Research Analyst - 2 positions
Provide mathematical modeling, software development and
consulting for gas and electric utility clients in the areas of
portfolio and risk analysis, resource scheduling, energy trading,
electric industry restructuring and grid services. Successful
candidates will be responsible for providing consulting services,
defining client needs and developing methodologies and software
to solve gas and electric planning and operational problems
requiring advanced analytical expertise in areas such as
electrical engineering, power systems analysis, operations
research, optimization, simulation, computational and numerical
methods, statistical methods, financial modeling and economics.
A Ph.D. in Electrical Engineering, Operations Research, or
equivalent, is required.

We offer an excellent compensation and benefits package, along
with strong opportunities for career growth.

For immediate consideration, please send/fax your resume, cover
letter and salary requirements to: PG&E, Management
Recruitment/ASI, 201 Mission P15C, PO Box 770000, San Francisco,
CA 94177. Fax (415) 973-5866. Please reference job code 95-4.


From: E. B. Saff <>
Date: Thu, 24 Aug 1995 17:39:54 -0400
Subject: Contents, Constructive Approximation


Volume 11, Number 3, 1995

287 Xin Li
On the Lagrange Interpolation for a Subset of c^k Functions

299 D. Leviatan and V.Operstein
Shape-Preserving Approximation in L_p

321 L. J. Lange
Convergence Region Inclusion Theorems for Continued
Fractions K(a_n / 1)

331 S. W. Jha and D. S. Lubinsky
Necessary and Sufficient Conditions for Mean Convergence
of Orthogonal Expansions for Freud Weights

365 Ingrid Daubechies and Ying Huang
How does Truncation of the Mask Affect a Refinable Function?

381 R. Szwarc
A Counterexample to Subexponential Growth of Orthogonal Polynomials

391 E. Moskona, P. Petrushev, and E. B. Saff
The Gibbs Phenomenon for Best L_1 -Trigonometric
Polynomial Approximation

417 A. L. Levin and D. S. Lubinsky
Erratum: Christoffel Functions, Orthogonal Polynomials,
and Nevai's Conjecture for Freud Weights


419 P. Erdos
Some Old and New Problems in Approximation Theory:
Research Problems 95-1


End of NA Digest