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

- NA Digest Calendar
- Nonlinear Generalized Eigenvalues
- Release 2.0 of PIM
- ADI Relaxation Parameters
- METIS: Unstructured Graph Partitioning Software
- Interval Computations Homepage
- Report from Workshop on Interval Computations
- Interval Computations Abstracts
- Workshop in Hungary on Global Optimization
- SIAM Conference on Numerical Combustion
- Summer Seminar on Plates and Shells
- Mitrinovic Memorial Conference
- SIAM Conference on Optimization
- Conference in France on Real Numbers and Computers
- Position at University of Newcastle upon Tyne
- Postdoc Position at North Carolina State University
- Graduate Assistantships at Marquette University
- Contents, J. Approximation Theory
- Contents, SIAM Optimization
- Contents, SIAM Matrix Analysis
- Contents, Computation and Applied Mathematics
- Contents, Advances in Computational Mathematics
- Contents, SIAM Numerical Analysis

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

From: NA Digest <na.digest@na-net.ornl.gov>

Date: Sun Jun 4 13:05:31 EDT 1995

**Subject: NA Digest Calendar**

NA Digest Calendar

Date Topic Place NA Digest #

July 3- 7 ICIAM, Int'l Cong. Indust. Appl. Math. Hamburg, Germany 94:23

July 6 Lothar Collatz Memorial Hamburg, Germany 25

July 3- 7 Computational Techniques Melbourne, Australia 10

July 3- 7 Mathematics of Neural Networks Oxford, UK 48

July 9-12 Error Bounds for Numerical Algorithms Oldenburg, Germany 05

July 9-13 Conjugate Gradient Methods Seattle, WA 10

July 9-14 Ill-posed Inverse Problems San Diego, CA 48

July 9-14 Math Methods in Geophysical Imaging San Diego, CA 51

July 10-12 Linear Algebra and Its Applications Manchester, UK 11

July 10-12 South African N.A. Symposium Scottburgh, So. Africa 52

July 10-14 Computational Mathematics Shushenskoe, Siberia 11

July 15-16 Matrix Methods for Statistics Montreal, Quebec 09

July 10-21 Nonlinear Waves Sapporo, Japan 43

July 16... Mathematics of Numerical Analysis Park City, UT 11

July 17-18 Identification and Optimization Prague, Czech. 12

July 17-19 Boundary Element Techniques Madison, WI 04

July 17-21 Modelling and Optimization Warsaw, Poland 32

July 19-21 Computer Arithmetic Bath, England 23

July 31... Rocky Mountain Numerical Analysis Salt Lake City, UT 32

July 31... Summer School Jyvaskyla, Finland 11

Aug. 7-16 Industrial Mathematics Modeling Raleigh, NC 12

Aug. 16-19 International Linear Algebra Society Atlanta, GA 07

Aug. 19-22 Operations Research Beijing, China 05

Aug. 21-23 Workshop on Conservation Laws Trondheim, Norway 44

Aug. 21 PARA95, ScaLAPACK & PVM NAG Lyngby, Denmark 23

Aug. 21-24 Applied Parallel Computing Lyngby, Denmark 15

Aug. 23-27 Biology, Ecology and Medicine Sofia, Bulgaria 09

Aug. 24-29 Differential Equations Rousse, Bulgaria 06

Aug. 27-31 Circuit Theory and Design Istanbul, Turkey 42

Aug. 28-30 European Simulation Meeting Gyor, Hungary 07

Aug. 28... Computational and Applied Mathematics Curitiba, Brazil 03

Aug. 29... Parallel Statistics and Economics Trier-Mainz, Germany 41

Sep. 5-10 Neural Networks and Neurocontrol Quintana Roo, Mexico 21

Sep. 5-14 Computing Techniques in Physics Skalsky dvur, Czech. 08

Sep. 12-15 Parallel Computing in Russia St.-Petersburg, Russia 45

Sep. 17-21 Acoustics of Submerged Structures Boston, MA 94:22

Sep. 18-22 European Conference on Numerical Math. Paris, France 18

Sep. 18-22 High Energy Physics Rio de Janeiro, Brazil 23

Sep. 20 Scottish Computational Maths Edinburgh, Scotland 20

Sep. 23 Pacific NorthWest Numerical Analysis Bellingham, WA 15

Sep. 25-28 Computer Methods and Water Resources Beirut, Lebanon 21

Sep. 26-29 Scientific Computing, Validated Numerics Wuppertal, Germany 16

Sep. 26... Cerfacs Linear Algebra Year Toulouse, France 15

Sep. 27-30 Mathematical Tools in Metrology Oxford, UK 51

Oct. 9-15 Cubature Formulae Krasnoyarsk, Russia 08

Oct. 13-14 Differential Equations Raleigh, NC 08

Oct. 13-14 Matrix Analysis Kalamazoo, MI 20

Oct. 15-19 Parallel Algorithms Wuhan, China 08

Oct. 16-17 Meshing Roundtable Albuquerque, NM 19

Oct. 16-18 1995 MATLAB Conference Cambridge, MA 12

Oct. 20-22 South-Central Student Conference Houston, TX 20

Oct. 23-26 SIAM Annual Meeting Charlotte, NC 05

Nov. 1- 4 Complementarity Problems Baltimore, MD 05

Nov. 6- 8 Innovative Time Integrators Amsterdam, Netherlands 19

Nov. 6- 9 Geometric Design Nashville, TN 04

Nov. 12-17 Semiconductor Device Modeling San Francisco, CA 20

Nov. 15-17 Simulation of Devices and Technologies Kruger, South Africa 01

Nov. 19-22 Pure and Applied Mathematics Isa Town, Bahrain 38

Dec. 8 Runge-Kutta Centenial Amsterdam, Netherlands 20

Dec. 10-14 Global Optimization Szeged, Hungary 26

Dec. 14-16 Dynamical Systems/Numerical Analysis Atlanta, GA 49

Dec. 14-20 Winter School on Iterative Methods Hong Kong 09

Dec. 16-19 Geophysical Inverse Problems Yosemite, CA 19

1996

Jan. 19-21 Boundary Elements Kiel, Germany 20

Jan. 28-30 Discrete Algorithms Atlanta, GA 25

Feb. 12-14 Network Optimization Problems Gainesville, FL 47

Mar. 4- 6 Numerical Combustion New Orleans, LA 26

Apr. 1- 4 State of the Art in Numerical Analysis York, England 06

Apr. 9-11 Real Numbers and Computers Marseille, France 26

May 20-22 SIAM Conference on Optimization Victoria, BC, Canada 26

May 21-24 Graphics Interface Conference Toronto, Canada 18

June 13-15 Algebraic Multilevel Iteration Methods Nijmegen, Netherlands 11

June 17-20 Integral Methods in Science and Engin. Oulu, Finland 24

June 17-21 Householder XIII Symposium Pontresina,Switzerland 44

June 20-21 Mitrinovic Memorial Conference Belgrade, Serbia 26

July 8-12 Prague Mathematical Conference Prague, Czech Rep. 03

July 8-12 Quality of Numerical Software Oxford, England 19

July 15-19 Computational Mechanics Miskolc, Hungary 21

July 22-27 Summer Seminar on Plates and Shells Quebec City, Canada 26

July 27-30 Conference Honoring Mike Powell Cambridge, England 48

Aug. 25-31 Congress Theor. & Appl. Mechanics Kyoto, Japan 46

Sep. 2- 5 Nonlinear Programming Beijing, China 18

Sep. 9-13 "ECCOMAS 96" Paris, France 23

Sep. 9-14 Ill-Posed Problems Moscow, Russia 23

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

From: Kam Chuen Ng <lxy400@galois.kodak.com>

Date: Thu, 22 Jun 1995 14:36:49 -0400

**Subject: Nonlinear Generalized Eigenvalues**

I have a nonlinear eigenvalues problem:

(A+wB+w^2C+w^3D+w^4E)x=0

where A, B, C, D, E are sparse square matrices and w is the eigenvalues.

and E may not be invertible.

I can convert this problem into generalized eigenvalues problem by introducing

y=w x

z=w y

v=w z

(0 I 0 0 )(x) (I 0 0 0)(x) (0 0 I 0 )(y) (0 I 0 0)(y) (0 0 0 I )(z) = w (0 0 I 0)(z) (A B C D )(v) (0 0 0 -E)(v)This problem can be solved by QZ algorithm but it is slow.

1. Is this the best method to solve the problem?

2. Is there a direct method to solve the problem?

3. Is there a method just to extract smallest eigenvalues (in magnitude)

Thanks.

Kam

kamcng@kodak.com

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

From: Rudnei D. da Cunha <rudnei@mat.ufrgs.br>

Date: Fri, 30 Jun 1995 17:47:10 -0300 (GMT-0300)

Dear colleagues,

We would like to announce the release of version 2.0 of PIM. Major

changes include four new iterative methods routines, support for

execution under MPI, a revised interface to the routines and the

possibility of monitoring the progress of the iterations.

You may obtain a copy of PIM 2.0 (Fortran 77) via anonymous FTP from

the following sites:

unix.hensa.ac.uk, /pub/misc/netlib/pim/pim20.tar.Z

ftp.mat.ufrgs.br, /pub/pim/pim20.tar.gz

and also via the WWW (via an appropriate browser):

http://www.mat.ufrgs.br/pim-e.html

We would like to ask you to advise us of any results you may obtain

using this package, including relevant bibliographical references.

Yours sincerely,

R. D. da Cunha (rudnei@mat.ufrgs.br) and T. R. Hopkins (trh@ukc.ac.uk)

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

From: Keith Weinman <weinman@sun.mech.uq.oz.au>

Date: Fri, 23 Jun 1995 19:11:19 +1000 (EST)

Greetings all,

I have written a 3-d finite volume code, much in the spirit of Patankar and

many others. The code is used to solve 1,2,3 D N.S. equations with a k -

epsilon model. Both the standard k-e model (Spalding etc) and a non-linear k-e

model (Speziale) have been included to account for turbulence effects. I have

included both a GMRES solver (from the Templates package by Dongarra et. al )

and a solver using the Thomas algorithm, the mechanics of both are well

documented in the literature. For the GMRES solver I may soon write a ILU

preconditioner, as I have found simple Jacobi preconditioning to be only

mildly effective, as noted in the literature. As a consequence of this work,

I have some questions upon which examination of the literature has shone no

real light [ and I stress that by no means have I read all the literature -

it is almost certain that I have missed many relevant articles].

The questions are as follows:

(1) What is the best method of selecting optimum under-relaxation factors (R)

for the "ADI" type solvers. At present I estimate the maximum eigen-value

(Lmax) of the most-recent coefficient matrix (A), and the code then makes a

new estimate based on how Lmax has varied over a sequence of previous

updates of A. If Lmax is reducing, or is maintaining a value within a limit,

R is reduced by a small fraction, otherwise R is increased. Note that

R1 <= R <= R2 where R1, R2 are limiting values. I feel certain that this

rather ad-hoc approach can be improved. If people could pass on appropriate

references or advice I would be very grateful.

(2) The next question relates to the structure of the solver. My motivation

in providing the code with the GMRES option was to enable a block solver to

be implemented easily. I realise that this is also possible with 'ADI'

schemes, but a GMRES scheme with an appropriate preconditioner seemed useful.

The discretized equations are only coupled through pressure terms and through

the coefficient matrix, in other words the dependence of, say the u-momentum

equation on the v-momentum equation is only implicitly realised through the

coefficients and structure of the coefficient matrix. It doesn't appear to

be a simple matter to extract an explicit dependence, from which a block

solver would benefit greatly (?). The only equation in which an explicit

dependance on the momentum equations is realised is the pressure correction

equation. Wilcox ( Turbulence Modelling for C.F.D ) also suggests that, due

to the relativly weak linkage between the momentum equations and 2-equation

turbulence models ( through the eddy viscosity terms (note: the dependance

of the momentum components through the advection terms is implicitly realised

if one uses HUDS )), there is no advantage in implementing a total block

solver for both momentum components and 2-equation model variables. Given

these points, is there any major advantage in solving the

following systems Ax = b where x=(U,V,W,P')^T and A'y=b' where y=(k,e)^T, as

opposed to solving the mean flow equations and turbulence model sequentially,

which is what I do at present. Once again, comments are welcome.

regards

Keith

Keith Weinman Ph:

Department of Mechanical Engineering (07)-365 3536

University of Queensland Email:

St. Lucia weinman@sun.mech.uq.oz.au

Brisbane, 4067

Queensland, Aust

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

From: George Karypis <karypis@s1.arc.umn.edu>

Date: Mon, 26 Jun 1995 12:52:53 -0500 (CDT)

METIS: Unstructured Graph Partitioning and Sparse Matrix Ordering Software

We announce the release of the METIS software package for

partitioning unstructred graphs (unstructured finite element meshes)

and for producing fill reducing orderings of sparse matrices.

Release 1.0 of METIS is now available via WWW and ftp.

Application Domains:

Graph partitioning has extensive applications in many areas, including

scientific computing, VLSI design, and task scheduling. The problem is

to partition the vertices of a graph in k roughly equal parts, such that

the number of edges connecting vertices in different parts is minimized.

Graph partitioning is of particular importance in finite element

computations on parallel computers, since a good partition significantly

reduces the amount of communication, increasing the performance.

Graph partitioning algorithms are also used to compute fill reducing

orderings for sparse matrix factorization, and to increase the concurrency

that can be exploited during parallel direct factorization.

What is METIS?

METIS is a set of programs that implement various graph partitioning

algorithms that are based on the multilevel paradigm.

The advantages of METIS compared to other similar packages are:

- Provides high quality partitions!

The partitions produced by METIS are consistently 10% to 50% better than

those produced by spectral partitioning algorithms, and 5% to 15% better

than those produced by Chaco multilevel on a wide variety of graphs.

- It is extremely fast!

METIS is 10 to 40 times faster than multilevel spectral bisection, and

2 to 6 times faster than Chaco multilevel for a wide variety of a graphs.

Graphs with over 250,000 vertices can be partitioned in 256 parts, in

under a minute on scientific workstations. The run time of METIS is

comparable to (or even smaller than) the run time of geometric

partitioning algorithms that often produce much worse partitions.

- Provides low fill orderings!

The orderings produced by METIS are significantly better than those

produced by multiple minimum degree, particularly for large finite

element graphs. Furthermore, unlike multiple minimum degree, the

elimination trees produced by METIS are highly suited for parallel direct

factorization.

METIS is freely distributed. Information on how to get the source code

is available on WWW at

URL: http://www.cs.umn.edu/users/kumar/metis/metis.html

Alternatively, METIS can be obtained via anonymous ftp from

ftp.cs.umn.edu/dept/users/kumar/metis/metis-1.0.tar

Papers describing and analyzing the various algorithms implemented by

METIS can be retrieved via WWW from:

http://www.cs.umn.edu/users/kumar/kumar.html

If you have any questions or problems obtaining METIS, send email to:

karypis@cs.umn.edu

George Karypis, email karypis@cs.umn.edu

Vipin Kumar, email kumar@cs.umn.edu

Department of Computer Science

University of Minnessota

Minneapolis, MN 55455

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

From: Vladik Kreinovich <vladik@cs.utep.edu>

Date: Wed, 21 Jun 95 09:37:02 MDT

Interval Computations Homepage

In accordance with the recommendations of the International Workshop on

Applications of Interval Computations (El Paso, TX, February 1995),

the interval computation homepage has been designed and

is now available. Its URL is http://cs.utep.edu/interval-comp/main.html.

Homepage's Table of Contents:

* Interval Arithmetic

* Languages for Interval Analysis

* "Numerical Toolbox for Verified Computing" (information on the book

and software; in German and English): Pascal and C++ versions

* Interval Software

* Extended Bibliography on Interval and Related Methods

* Interval Ftp Site

* Homepages of Interval Computations Research Centers

* Personalia: Homepages of Interval Computations Researchers

* Reliable Computing (formerly Interval Computations),

an International Journal

* Applications of Interval Computations: General

* Applications of Interval Computations Presented at APIC'95

* APIC'95 Proceedings: Table of Contents

* Questions/Comments

* Thanks

We want to thank everyone who provided us with the links, ideas, and

material for this page.

Comments, suggestions, additions, and corrections will be

greatly appreciated. Please send them to one of the maintainers:

Vladik Kreinovich at vladik@cs.utep.edu or Misha Koshelev at

mkosh@cs.utep.edu.

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

From: Vladik Kreinovich <vladik@cs.utep.edu>

Date: Thu, 22 Jun 95 09:43:26 MDT

Researchers in Interval Computations Need Organization

(a brief write-up of the results of the discussion

held during the International Workshop on Applications of

Interval Computations, El Paso, TX, February 1995)

Interval Computations (and, more generally, computations with

automatic results verification) are applied more and more frequently.

Hundreds of researchers throughout the world design, analyze, and apply the

corresponding numerical methods. With the growth of the field, the

existing methods of communicating between the interval researchers

(like reading each other's papers, and communicating by mail and email)

are getting more and more complicated. The Workshop revealed that many

research projects are undertaken without the knowledge of similar

projects that have been and are successfully undertaken by other

research groups. This is not only true for applications areas, but

also in the mainstream research: e.g., for some time, spreadsheet

computations have been developed independently by three research

groups: in Finland, in Novosibirsk, Russia, and in Lafayette, LA.

The community is growing, and we need to coordinate and enhance our

efforts: we need to communicate, we need to meet, we need to

lobby and proselite. Currently, we have a journal, we have more or

less regular conferences; we have a mailing list, an ftp site

maintained by Baker Kearfott, and a Web page. However, maintaining

is done on an irregular basis, takes more and more time, and becomes

more and more chaotic.

A natural idea is to follow the example of other large groups and

researchers and organize ourselves. The least painful way is to

organize ourselves as a special interest group as

part of some well-established society.

The advantages of organization are as follows:

* First, being part of the society with well-established traditions

and know-how will make it much easier for us to organize and

publicize conferences, proceedings, etc.

* Being part of the well-established society with an existing

distribution network and existing lobbying and proseliting abilities

will drastically increase our visibility.

* If our conferences are routinely sponsored by a well-known society,

this will increase their prestige, make it easier to get funding for

organizing conferences and for going to them, make it more prestigious

for students and faculty to publish in the conference proceedings,

make the conferences more easily available in the libraries through

the databases maintained by the society.

* Many of us are already paying dues to different societies, so why not

use this money not only for the benefit of Mathematics or Computer

Science in general, but also for the benefit of our specific research field?

* Special interest groups usually regularly publish Bulletins with news.

Hardcopy news bulletins will definitely help in our communications.

What society should we be under? Interval Computations is a marginal

discipline between mathematics and computer science. Therefore, we

have a choice between AMS, SIAM, ACM, and IEEE Computer Society.

IEEE Computer Society may not be a good choice because it is already

a part of Electrical Engineering society, and we will be a part of

the part. AMS does not encourage groupings that much. We have,

however, a very good relationship with ACM: SIGNUM already published

our papers and algorithms. So, it seems like a good idea to organize

ourselves as a special interest subgroup within SIGNUM.

In view of that, it would be nice to know the opinion of the interval

researchers (not only those who were present at the workshop). Interval

researchers who are ACM members and who agree that organization within

ACM may be a good idea please send their suggestions, corrections,

names, and ACM numbers to Vladik Kreinovich at vladik@cs.utep.edu.

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

From: R. Baker Kearfott <rbk5287@interval.usl.edu>

Date: Fri, 30 Jun 1995 11:31:40 -0500

The set of 74 extended abstracts for the

International Workshop on Applications of Interval Computations

that was held in El Paso on February 23--25, 1995 is available in

PostScript and TeX formats. Each abstract is filed individually

with a mnemonic for the author's name; five abstracts are contained

in separate directories, since they have extra PostScript files with

figures. Style files necessary for compiling the LaTeX and a cover page

for the set also are located with the abstracts.

The abstracts can be obtained via anonymous ftp to:

interval.usl.edu

in the directory

pub/interval_math/Feb._1995_El_Paso_conference/extended-abstracts

or, equivalently, via World Wide Web browser to the URL:

ftp://interval.usl.edu/pub/interval_math/Feb._1995_El_Paso_conference/extended-abstracts

Lists of talks, etc. are still available in the containing directory.

R. Baker Kearfott, rbk@usl.edu (318) 482-5346 (fax)

(318) 482-5270 (work) (318) 981-9744 (home)

URL: ftp://interval.usl.edu/pub/interval_math/www/kearfott.html

Department of Mathematics, University of Southwestern Louisiana

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

From: Tibor Csendes <globopt@inf.u-szeged.hu>

Date: Thu, 22 Jun 95 11:26 MET

Second Announcement

THIRD WORKSHOP ON GLOBAL OPTIMIZATION

organized by the Austrian and Hungarian OR Societies

Program Committee

Pierre Hansen, Reiner Horst and Panos M. Pardalos

Date and place

December 10-14, 1995, Szeged, Hungary.

Registration fees

The registration fee covers the organizational costs of the workshop,

the accommodation with full board, and a short excursion or

sightseeing. The registration fee is 320 USD occupying a single room,

and 240 USD if a double room is shared. The registration fee for an

accompanying person is 300 USD occupying a single room and 220 USD

sharing a double room. To avoid excessive bank charges, CASH PAYMENT

IS PREFERRED. If you would like to transfer the registration fee,

please make sure that the fee arrives in full amount, and bring a

proper evidence of the transfer with you. For the bank transfer use

the following address:

Workshop on Global Optimization

Postabank es Takarekpenztar Rt., Szeged, Hungary

JATE: 026-00716, Sort code: 401-4131-916-01

Important dates

June 30, 1995 - deadline for the preliminary registration

September 15, 1995 - deadline for extended abstract submission

October 31, 1995 - notification of acceptance

November 30, 1995 - deadline for the final manuscripts for the proceeding

December 9, 1995 - check-in at the hotel

December 10-14, 1995 - Workshop on Global Optimization

December 15, 1995 - check-out at the hotel

Address of Organizing Committee

Tibor Csendes

Jozsef Attila University, Institute of Informatics

H-6701 Szeged, P.O. Box 652, Hungary

Phone: +36 62 310 011 (ext. 3839), Fax: +36 62 312 292

E-mail: globopt@inf.u-szeged.hu

URL: http://www.inf.u-szeged.hu/~globopt/

Ftp: ftp.jate.u-szeged.hu,

in the directory /pub/math/optimization/globopt

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

From: Trini Flores <flores@siam.org>

Date: Thu, 22 Jun 95 14:14:10 EST

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)

ABOUT THE CONFERENCE ...

Advances in computational algorithms and hardware continue to

have a revolutionary impact on the combustion sciences, and

permit the examination of scientific and engineering problems of

increasing complexity. The Sixth International Conference on

Numerical Combustion will focus on the integration of theory,

modeling, and numerical implementation in the study of basic

combustion physics and technological applications. The distinct

questions and challenges found in combustion and phase transition

arise from the multiplicity of length and time scales defined by

the chemical, geometric, and flow ingredients. Physically

descriptive, efficient and accurate numerical modeling

of complex phenomena is the subject of the conference.

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.

CONFERENCE THEMES

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

INVITED PRESENTATIONS

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

IMFT/CERFACS, France

The Dynamics of Multi-Dimensional Detonation

D. Scott Stewart

University of Illinois, Urbana

ORGANIZING COMMITTEE

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

DATES TO REMEMBER

August 31, 1995 - Deadline for submission of minisymposium

proposals

September 25, 1995 - Deadline for submission of contributed

abstracts

ELECTRONIC ACCESS

Additional information regarding the conference can be accessed

in electronic format via SIAM's Gopher server: gopher.siam.org or

through the World Wide Web: http://www.siam.org

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

From: Michel Fortin <mfortin@mat.ulaval.ca>

Date: Tue, 27 Jun 95 09:38:46 EDT

First announcement:

Canadian Mathematical Society, Summer Seminar 1996

Plates and shells: from mathematical models to engineering practice

July 22-27 1996, Laval University,

Quebec city, Canada

CALL FOR PAPERS

This five days seminars will bring together all groups interested to the

theory, numerical analysis and engineering use of plates and shells.

There will be a few 2-hour minicourses on various aspect of the subject.

We would also like to receive contributed papers.Theoretical and applied

papers are both welcome. Papers will be selected based on a two page

abstract. The deadline for abstracts will be January 15 1996 and

notification of acceptance will be sent by February 1996. Abstracts should

begin with the title of the paper, author's name, affiliation and email

address if available. The abstract should present a succint statement of

the results and a discussion of its significance.

Submissions should be sent to

MICHEL FORTIN Internet mfortin@mat.ulaval.ca

Dep. de mathematiques et de Telephone (418) 656-5220

statistique

Universite Laval

Quebec, Canada, G1K-7P4 Fax: (418) 656-2817

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

From: Gradimir Milovanovic <milovanovic@iprvs1.univ-pau.fr>

Date: Tue, 27 Jun 1995 16:10:47 EDT

Dragoslav S. Mitrinovic

Memorial Conference

Belgrade, June 20--21, 1996

FIRST ANNOUNCEMENT

The following institutions:

- Serbian Scientific Society, Belgrade,

- Faculty of Electrical Engineering, Belgrade,

- Faculty of Electronic Engineering, Nis,

- Institute of Mathematics SANU, Belgrade,

organize an International conference devoted to memory of the outstanding

mathematician

Professor Dragoslav S. Mitrinovic

(1908--1995)

and his scientific work.

The Organizing commitee kindly ask for contribution in the following

topics:

- Approximation Theory

- Complex Analysis

- Differential, Integral and Functional Equations

- General Inequalities

- Orthogonal Polynomials and Special Functions

Other relevant mathematical subjects are also wellcomed.

CALL FOR PAPERS

The Dragoslav S. Mitrinovic Memorial Conference will take place at

Serbian Scientific Society (Safarikova 7, Belgrade, Serbia-Yugoslavia),

June 20-21, 1996. Two publications are planed to be published in ahead of

the conference with survey and shorter contributed papers (up to 8 pages).

Due to last Professor Mitrinovic passion -- Inequalities, one publication

will be entitled as "Progress in Inequalities". The other one will be

comprised from the selected papers from other topics. All the submitted

papers will be subjected to the referee process.

Manuscripts should be submitted in two hard copies (up to December 15,

1995) to the following address:

Prof. Gradimir V. Milovanovic

Faculty of Electronic Engineering, P.O. Box 73

18000 Nis, Serbia, Yugoslavia

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

From: Trini Flores <flores@siam.org>

Date: Thu, 29 Jun 95 12:43:25 EST

Fifth SIAM Conference on Optimization

Sponsored by SIAM Activity Group on Optimization

May 20-22, 1996

Victoria Conference Center

Victoria, British Columbia, Canada

CALL FOR PARTICIPATION

About the Conference...

The field of optimization is a fascinating and lively blend

of theoretical analysis, algorithm and software development, and

scientific computing. This fifth conference will address the

most important recent developments in linear, nonlinear, and

discrete optimization. It will feature recent advances in

optimization algorithms and software, as well as important

applications of optimization in control, networks, manufacturing,

chemical engineering, and operations research. An important

emphasis of the meeting is also the increasing variety of

connections between optimization and other fields of numerical

analysis and scientific computing, such as differential

equations. The organizers have made a particular effort to

highlight some less traditional themes.

Conference Themes

o Connections between continuous and discrete optimization

o Convex analysis and applications

o Differential-algebraic equations and their connections to

optimization

o Derivative-free methods

o Industrial methodology and applications

o Nondifferentiable/structural optimization

o Semidefinite programming

o Stochastic programming

The conference will feature seven invited speakers:

Uri M. Ascher

Albert M. Erisman

Martin Groetschel

Adrian S. Lewis

Andrzej Ruszczynski

Virginia Torczon

Jochem Zowe

Electronic Access

Additional information regarding the conference,

including information on the City of Victoria, maps,

weather and travel, can be accessed in electronic

format via Gopher servers or through the World Wide

Web: (gopher.siam.org), (godot.uvic.ca),

(http://www.siam.org), (http://www-csc.uvic.ca)

Conference Co-chairs: Andrew R. Conn and Margaret H. Wright

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

From: Jean-Claude Bajard <bajard@gyptis.univ-mrs.fr>

Date: Fri, 30 Jun 95 14:58:39 +0100

CALL FOR PAPERS

2e CONFERENCE - 2nd CONFERENCE

LES NOMBRES REELS ET L'ORDINATEUR

REAL NUMBERS AND COMPUTERS

Marseille, FRANCE

April 9-10-11 Avril 1996

The first ``real numbers and computers'' conference (St-Etienne, April 1995)

was succesfull. Many mathematicians or computer scientits are interested

by this domain. Thus we propose a second edition of this

conference in Marseille April 9-10-11 1996.

Efficient handling of real numbers in a computer is not yet solved in a

satisfying way. The "floating point" formats most often used in scientific

computing usually give sufficient results, but some reliability problems

can occur. Program portability problems could imply some rewriting costs:

some programs which work well with a machine, could become unreliable with

another one. Users (working on computer algebra, algorithmic geometry) may

need far more accurate results (even "exact results") than the ones

obtained with usual number systems. Many members of the scientific

community are concerned by this problem, they could share their knowledge

and come up with solutions. But they do not have the opportunity to meet,

they do not belong to the same scientific fields (computer science, number

theory, numerical analysis, computer algebra) and they have a different

vocabulary. The aim is to put them together during this meeting (the "rule

of the game" should be that everybody should speak a common language), in

order to establish some collaborations.

You can send 4 copies of a printed version of a full paper (not an

abstract) to:

Jean-Claude BAJARD

Laboratoire de l'Informatique de Marseille,

Centre de Math\'ematiques et d'Informatique,

Universit\'e de Provence,

39 rue Joliot-Curie,

13453 Marseille cedex 13, FRANCE.

Topics

- Algorithms and architectures for "serial" and "on line" arithmetic.

- Relations between number theory, automata theory and computer arithmetic.

- Number systems

- Floating point arithmetic

- Calculability

- Symbolic manipulation of numbers

- Algorithms for "exact" computing

- Multi-precision, interval arithmetic

- Accuracy problems in various fields and proposed solutions.

Local committee

- Jean-Paul ALLOUCHE, (LMD, CNRS, Marseille, France)

- Jean-Claude BAJARD, (LIM, Universit\'e de Provence, Marseille, France)

- Solange COUPET, (LIM, Universit\'e de Provence, Marseille, France)

- Pierre LIARDET, (LATP, Universit\'e de Provence, Marseille, France)

Program committee

- Jean-Paul ALLOUCHE, LMD, Universit\'e de Luminy, Marseille, France.

- Jean-Claude BAJARD, Laboratoire LIM, Universit\'e de Provence, France.

- Jean-Claude BERGES, CNES, Centre Spatial de Toulouse, France.

- Vasco BRATTKA, FernUniversitat, Theorische Informatik 1, Hagen, Germany.

- Jean-Marie CHESNEAUX, Lab.MASI, Universit\'e Pierre et Marie Curie, Paris, France.

- Solange COUPET, Laboratoire LIM, Universit\'e de Provence,France.

- Christiane FROUGNY, LITP, Universit\'e Pierre et Marie Curie, Paris, France.

- Peter KORNERUP, Dept of Mathematics and Computer Science, Odense, Danmark.

- David LESTER, Department of Computer Sciencem Manchester, United Kingdom.

- Pierre LIARDET, LATP URA225, Universit\'e de Provence, France.

- Maurice MARGENSTERN, Universit\'e Paris Sud, Laboratoire de Math\'ematiques, France.

- Dominique MICHELUCCI, Ecole Nationale des Mines de Saint Etienne,

SIMADE, France.

- Jean-Michel MOREAU, Ecole Nationale des Mines de Saint Etienne, SIMADE, France.

- Jean-Michel MULLER, Lab. Lip, Ecole Normale Sup\'erieure de Lyon, France.

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

From: Chris Petrie <Chris.Petrie@newcastle.ac.uk>

Date: Fri, 23 Jun 1995 09:50:13 +0100 (BST)

UNIVERSITY OF NEWCASTLE UPON TYNE

DEPARTMENT OF ENGINEERING MATHEMATICS

TEMPORARY LECTURESHIP IN ENGINEERING MATHEMATICS

Available from one year from 1st September 1995, this post will

coincide with the imminent arrival of Professor Y.A. Sergeev to

take up the Chair in Engineering Mathematics following the

retirement of Professor Alan Jeffrey.

The person appointed may be either a mathematician or an engineer

with a strong mathematical background who will be expected to

contribute to the wide range of courses in Engineering

Mathematics provided for students in the Faculty of Engineering,

from foundation year to postgraduate. Opportunities for research

include involvement with other departments in the Faculty, either

in the form of collaborative projects or in the joint supervision

of research students. The Department includes engineers,

mathematicians and applied statisticians on its staff.

Salary will be at an appropriate point on the Lecturer Grade A

scale: #15,154-#19,848 per annum, according to qualifications and

experience.

No forms of application are issued. Further particulars may be

obtained from the Director of Personnel, Registrar's Office,

University of Newcastle, 1 Park Terrace, Newcastle upon Tyne, NE1

7RU with whom three complete copies of applications, including a

full cv with present salary and the names of three referees

should be lodged not later than 21st July 1995.

Informal enquiries may be addressed to the Department,

e-mail: Engineering.Maths@ncl.ac.uk

FAX: +44 - 191 - 222 - 5498

There is also a departmental World-Wide-Web page (partly developed),

URL: http://www.ncl.ac.uk/~nengm/

The University's home page is at

URL: http://www.ncl.ac.uk/

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

From: Jeff Scroggs <scroggs@math.ncsu.edu>

Date: Thu, 29 Jun 1995 16:37:31 -0400

The Center for Research in Scientific Computation is preparing

to consider applications for our postdoc position on the

High-pressure Vapor Transport Reactor project originally announced

in NA Digest Volume 94, Issue 49. See http://www2.ncsu.edu/math/CRSC

for more information about the center, and

http://www2.ncsu.edu/math/CRSC/projects/hpvt.html for

a brief description of the project.

If you have not applied, but plan to do so, please immediately contact

Jeff Scroggs

EMAIL: scroggs@math.ncsu.edu (preferred)

AT&T: (919)515-7817 work

FAX: (919)515-3798

Department of Mathematics

Box 8205

North Carolina State University

Raleigh, NC 27695

NCSU is an AA/EOE. In its commitment to diversity and equity, NCSU and the

CRSC seeks applications especially from women, minorities, and the

disabled.

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

From: George Corliss <georgec@marque.mscs.mu.edu>

Date: Thu, 29 Jun 95 17:17 CDT

Industrial-Based Graduate Research Assistantships

Department of Mathematics, Statistics, and Computer Science

Marquette University, Milwaukee, Wisconsin, USA

The Marquette University Department of Mathematics, Statistics,

and Computer Science has openings for two Industrial-Based

Graduate Research Assistantships in industrial and applied

mathematics. Students will pursue a Master of Science degree

while working closely with industrial sponsors Johnson Controls

and SC Johnson Wax. One assistantship requires skills in

operations research, the other in statistics and database

design.

Number of openings: two

Start date: August 15, 1995, or January 1, 1996

Annual stipend: $12,000 + tuition,

jointly funded by NSF and industrial partners

Students from groups traditionally underrepresented in the field

are especially sought.

For information:

Dr. George Corliss Dr. Karl Byleen

georgec@mscs.mu.edu karlb@mscs.mu.edu

(414) 288-6599 (414) 288-6343

To apply:

The Graduate School

Marquette University

PO Box 1881

Milwaukee, WI 53201-1881

(414) 288-7137 Fax: 414) 288-1902

MUGS@vms.csd.mu.edu

Students from groups traditionally underrepresented in the field

are especially sought.

For further information:

Web: http://studsys.mscs.mu.edu/~georgec/indust_gra.html

FTP: boris.mscs.mu.edu

cd pub/corliss

get indust_gra

or

get indust_gra.ps

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

From: Marilyn Radcliff <radcliff@math.ohio-state.edu>

Date: Thu, 22 Jun 1995 10:45:43 -0400 (EDT)

Table of Contents: J. Approx. Theory, Volume 81, Number 3, June 1995

Ding-Xuan Zhou

On smoothness characterized by Bernstein type operators

303--315

Johan Lithner and Adam P. W\'ojcik

A note on Berntein's theorems

316--322

Ding-Xuan Zhou

Construction of real-valued wavelets by symmetry

323--331

E. Kochneff

Expansions in Laguerre polynomials of negative order

332--346

Graeme J. Byrne, T. M. Mills, and Simon J. Smith

The Lebesque constant for higher order Hermite-Fej\'er interpolation on

the Chebyshev nodes

347--367

Peter K\"ohler and Geno Nikolov

Error bounds for Gauss type quadrature formulae related to spaces of

splines with equidistant knots

368--388

Gilbert Helmberg

A limit function for equidistant Fourier interpolation

389--396

Peter K\"ohler and Geno Nikolov

Error bounds for optimal definite quadrature formulae

397--405

Xie Ping Ding and E. Tarafdar

Some further generalizations of Ky Fan's best approximation theorem

406--420

Notes

Horst Alzer

On the zeroes of a polynomial

421--424

Fernando Mazzone and H\'ector Cuenya

A note on metric projections

425--428

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

From: SIAM <nelson@siam.org>

Date: Thu, 22 Jun 95 10:58:20 EST

CONTENTS

SIAM J.OPTIMIZATION

VOL.5,NO.3, AUG 1995

Nonpolyhedral Relaxations of Graph Bisection Problems

Svatopluk Poljak and Franz Rendl

Faster Simulated Annealing

Bennett Fox

Incorporating Condition Measures into the Complexity Theory

of Linear Programming

James Renegar

Global Convergence of a Long-Step Affine-Scaling Algorithm

for Degenerate Linear Programming Problems

Takashi Tsuchiya and Masakazu Muramatsu

On Eigenvalue Optimization

Alexander Shapiro and Michael K. H. Fan

Data Parallel Quadratic Programming on Box-Constrained Problems

Mike P. McKenna, Jill P. Mesirov, and Stavros A. Zenios

A Sequential Quadratic Programming Algorithm Using an

Incomplete Solution of the Subproblem

Walter Murray and Francisco J. Prieto

Local Convergence of SQP Methods in Semi-Infinite Programming

G. Gramlich, R. Hettich, and E. W. Sachs

Taylor's Formula for Ck,1 Functions

Dinh The Luc

The Linear Nonconvex Generalized Gradient and Lagrange Multipliers

Jay S. Treiman

On the Simulation and Control of Some Friction Constrained Motions

Roland Glowinski and Anthony J. Kearsley

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

From: SIAM <nelson@siam.org>

Date: Thu, 22 Jun 95 13:48:41 EST

CONTENTS

SIAM J. MATRIX ANALYSIS APPLICATIONS

VOL. 16, NO. 4, OCTOBER 1995

On a Sturm Sequence of Polynomials for Unitary Hessenberg Matrices

Angelika Bunse-Gerstner and Chunyang He

Least Squares Sign Solvability

Bryan L. Shader

On Eigenvalue Estimates for Block Incomplete Factorization Methods

O. Axelsson and H. Lu

Diagonal Dominance in the Parallel Partition Method for Tridiagonal Systems

Chris Walshaw

Matrices with Sign Consistency of a Given Order

J. M. Pena

On a QR-like Algorithm for Some Structured Eigenvalue Problems

A. George, Kh. D. Ikramov, E. V. Matushkina, and

W.-P. Tang

The Group Inverse Associated with an Irreducible Periodic Nonnegative Matrix

Steve Kirkland

Variable Block CG Algorithms for Solving Large Sparse Symmetric Positive

Definite Linear Systems on Parallel Computers, I: General Iterative Scheme

A. A. Nikishin and A. Yu Yeremin

A Restarted GMRES Method Augmented with Eigenvectors

Ronald B. Morgan

Comments on Large Least Squares Problems Involving Kronecker Products

Hongyuan Zha

Trace and Eigenvalue Inequalities for Ordinary and Hadamard Products of

Positive Semidefinite Hermitian Matrices

Bo-Ying Wang and Fuzhen Zhang

A Basis-Kernal Representation of Orthogonal Matrices

Xiaobai Sun and Christian Bischof

On the Convergence of the Jacobi Method for Arbitrary Orderings

Walter F. Mascarenhas

Multisplitting Preconditioners Based on Incomplete Choleski Factorizations

R. Bru, C. Corral, A. Martinez, J. Mas

On the Symmetric and Unsymmetric Solution Set of Interval Systems

Gotz Alefeld and Gunter Mayer

A Domain Decomposition Method for First-Order PDEs

Lina Hemmingsson

Some Properties of Fully Semimonotone Q0-Matrices

G. S. R. Murthy and T. Parthasarathy

Stability of Linear Equations Solvers in Interior-Point Methods

Stephen J. Wright

The Algebraic Riccati Equation and Inequality for Systems with

Uncontrollable Modes on the Imaginary Axis

Carsten W. Scherer

Perturbation Bounds for the Generalized Shur Decomposition

Ji-guang Sun

Application of Vector-Valued Rational Approximations to the Matrix

Eigenvalue Problem and Connections with Krylov Subspace Methods

Avram Sidi

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

From: Carlos Antonio de Moura <demoura@dee.ufc.br>

Date: Thu, 22 Jun 1995 12:35:24 +0300

COMPUTATIONAL AND APPLIED MATHEMATICS

Published by Birkhauser/Boston

and SBMAC - Brazilian Soc. for

Comp. and Applied Mathematics

Vol.14:1, 1995

Special Issue on

High Performance Scientific Computing

Foreword

C.A. de Moura 1

Madpack: A family of abstract multigrid

or multilevel solutions

Craig C. Douglas 3

A multigrid solver for the steady state Navier-Stokes

Equations using the Pressure-Poisson formulation

David Sidlikover and Uri M. Ascher 21

A posteriori error estimates for general numerical

methods for scalar conservation laws

Bernardo Cockburn and Huiing Gau 37

SIMPAR: a parallel sparse simplex

M. Lentini, A. Reinoza, A. Teruel and A. Guill'en 49

An introduction to DIMSIMs

J.C. Butcher 59

A parallelizable characteristic scheme for two phase flow I:

Single porosity models

Jim Douglas, Jr., Felipe Pereira, and Li-Ming Yeh 73

Parallel computation of turbulent fluid flow

Paul R. Woodward, David H. Porter, B. Kevin Edgar,

Steven Anderson, and Gene Bassett 97

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

From: Baltzer Science Publishers <publish@baltzer.nl>

Date: Fri, 23 Jun 1995 14:36:41 +0200

CONTENTS:

Advances in Computational Mathematics, Volume 3, No. IV, 1995, ISSN 1019

7168 Editors-in-Chief: John C. Mason & Charles A. Micchelli

Advances in Computational Mathematics is an interdisciplinary journal of

high quality, driven by the computational revolution and emphasising

innovation, application and practicality.

This journal is of interest to a wide audience of mathematicians,

scientists and engineers concerned with the development of mathematical

principles and practical issues in computational mathematics.

Volume 3, No. IV, 1995

pp. 309-342: R.-Q. Jia, Subdivision schemes in Lp spaces

pp. 343-352: G. Hall, A new stepsize strategy for explicit Runge-Kutta codes

pp. 353-368: K. Jetter and J. Stoeckler, A generalization of de Boor's

stability result and symmetric preconditioning

pp. 369-374: C.T. Chong, The polynomial topological complexity of

Fatou-Julia sets

pp. 375-394: J.M. Carnicer, T.N.T. Goodman and J.M. Pena, A generalization

of the variation diminishing property

pp. 393-404: J.M. Carnicer, Multivariate convexity preserving interpolation

by smooth functions

pp. 405-424: P.E. Koch, T. Lyche, M. Neamtu and L.L. Schumaker, Control

curves and knot insertion for trigonometric splines

Volume 4, No. I-II, 1995. MULTISCALE TECHNIQUES

Preface

F. Keinert, Numerical stability of biorthogonal wavelet transforms

S. Zeng, C. Vuik and P. Wesseling, Numerical solution of the incompressible

Navier--Stokes equations by Krylov subspace and multigrid methods

K. Urban, On divergence-free wavelets

P.W. Hemker, Sparse-grid finite-volume multigrid for 3D-problems

S.C. Brenner, A two-level additive Schwarz preconditioner for the

stationary Stokes equations

B. Koren and B. van Leer, Analysis of preconditioning and multigrid for

Euler flows with low-subsonic regions

A. Kunoth, Multilevel preconditioning -- Appending boundary conditions by

Lagrange multipliers

M. Griebel and P. Oswald, Tensor product type subspace splittings and

multilevel iterative methods for anisotropic problems

Submissions of articles and proposals for special issues are to be

addressed to the Editors-in-Chief:

John C. Mason

School of Computing and Mathematics, University of Huddersfield,

Queensgate, Hudersfield, HD1 3DH, United Kingdom

E-mail: j.c.mason@hud.ac.uk

or

Charles A. Micchelli

Mathematical Sciences Department

IBM Research Center

P.O. Box 218, Yorktown Heights, NY 10598, USA E-mail: cam@yktvmz.bitnet

Requests for FREE SPECIMEN copies and orders for Advances in Computational

Mathematics are to be sent to: E-mail: publish@baltzer.nl

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

From: SIAM <tschoban@siam.org>

Date: Tue, 27 Jun 95 08:56:26 EST

Subject: Contents, SIAM Numerical Analysis

CONTENTS

SIAM Journal on Numerical Analysis

AUGUST 1995, Volume 32, Number 4

A Fast Solver for Navier-Stokes Equations in the Laminar Regime

Using Mortar Finite Element and Boundary Element Methods

Y. Achdou and O. Pironneau

Projection Method I: Convergence and Numerical Boundary Layers

Weinan E and Jian-Guo Liu

Numerics and Hydrodynamic Stability: Toward Error Control in

Computational Fluid Dynamics

Claes Johnson, Rolf Rannacher, and Mats Boman

Convergence of Particle Methods with Random Rezoning for the Two-

Dimensional Euler and Navier-Stokes Equations

Y. Brenier and G.-H. Cottet

Particle Approximation of a Linear Convection-Diffusion Problem

with Neumann Boundary Conditions

S. Mas-Gallic

Multigrid Smoothing Factors for Red-Black Gauss-Seidel Relaxation

Applied to a Class of Elliptic Operators

Irad Yavneh

Numerical Solutions of One-Pressure Models in Multifluid Flows

Fabienne Berger and Jean-Francois Colombeau

Finite Element Approximation of Time Harmonic Waves in Periodic Structures

Gang Bao

Error Estimates on a New Nonlinear Galerkin Method Based on Two-

Grid Finite Elements

Martine Marion and Jinchao Xu

Convergence of a Second-Order Scheme for the Nonlinear Dynamical

Equations of Elastic Rods

Richard S. Falk and Jian-Ming Xu

Optimal Selection of the Bubble Function in the Stabilization of

the P1-P1 Element for the Stokes Problem

Roger Pierre

Thermal Simulation of Pipeline Flow

Philip T. Keenan

Spectral Approximation of a Boundary Condition for an Eigenvalue Problem

Anne-Sophie Bonnet-Bendhia and Nabil Gmati

Finite Element Vibration Analysis of Fluid-Solid Systems Without

Spurious Modes

A. Bermudez, R. Duran, M. A. Muschietti, R. Rodriguez, and J.

Solomin

Runge-Kutta Solutions of Stiff Differential Equations Near

Stationary Points

Ch. Lubich, K. Nipp, and D. Stoffer

A Product-Decomposition Bound for Bezout Numbers

Alexander P. Morgan, Andrew J. Sommese, and Charles W. Wampler

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

End of NA Digest

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

-------