NA Digest Monday, October 11, 1999 Volume 99 : Issue 40

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

Submissions for NA Digest:

Mail to

Information about NA-NET:

Mail to

URL for the World Wide Web:

From: G. W. Stewart <>
Date: Mon, 4 Oct 1999 12:31:07 -0400 (EDT)
Subject: Query About Rounding Error

I'm giving a talk later this month on rounding error to the
Baltimore-Washington Section of SIAM. I would appreciate any
interesting anecdotes on real-life embarrassments due to rounding
error. I recall (though I don't know the details) stories about an
index on the Canadian stock market drifting off true and something
about a missile in the Iraq war. If you know the details of these or
any other stories, please pass them on to me.

Pete Stewart


From: C. G. Broyden <broyden@CsR.UniBo.IT>
Date: Wed, 06 Oct 1999 15:05:31 +0100
Subject: Origins of Gram-Schmidt and Conjugate-directions

Dear Colleagues,
Two requests: (1) Can anyone give me the original reference for
the Gram-Schmidt method, and (2) Can anyone give me any details of J.
Morris, whose "escalator method" was arguably the first
conjugate-direction method.
Thanks in anticipation, C. G. Broyden


From: Garry Tee <>
Ken Turkowski <>
Date: Tue, 5 Oct 1999 16:56:34 +1300
Subject: Re: Difference Between 1x1 Matrices and Scalars

In last week's NA Digest, Ilse Ipsen wrote:

> There can be a difference between 1x1 matrices and scalars.
> Consider the matrix product A*B*C where
> A = [1 1] B = [1] C=[1]
> [1] [2]
> [3]
> The product A*B*C is not defined because B*C is not defined.
> Nevertheless MATLAB 5.3 computes the answer [2]
> [4]
> [6]
> presumably because it associates (A*B)*C. In this case A*B
> happens to be a scalar but should be treated as a 1x1 matrix.
> Is this something to worry about?


Garry Tee replies:

Yes, it is something to worry about.
A 1x1 matrix D is not just its single scalar element d_{11}, but it
has associated operations which are not identical with those for a scalar.
The scalar has the property that it can form a scalar product with any
vector or matrix, but the 1x1 matrix does not have that property. The
matrix product DE exists iff E has 1 row, and the matrix product FD exists
iff F has 1 column.
When any array is declared in a PASCAL program (& similarly for
other languages), then some relevant information about the structure must
be stored, as well as just the elements of the array. If a parameter in a
PASCAL procedure is specified as being array[1..1,1..1] of real, then the
compiler will properly reject an actual parameter which is a real scalar; &
it will reject every actual parameter with n subscripts, where n = 1 or
Many operations in linear algebra become simpler and clearer if
scalar multiplication is replaced by matrix multiplication. For example,
consider the eigenvalue equation
Av = ve.
If e is regarded not as a scalar, but as a 1x1 matrix, then this eigenvalue
equation generalizes to the case where m eigenvectors are packed together
to form the m columns of matrix v. In that case, e becomes an mxm matrix of
diagonal form, with the m eigenvalues as the diagonal elements.
The reported behaviour of MATLAB 5.3 must be regarded as a bug, to
be corrected.

Garry J. Tee,
Department of Mathematics, University of Auckland, Auckland, New Zealand.


Ken Turkowski replies:

This is a common occurance. A*B is a dot product, resulting in a scalar.

It could be that A and B are vectors (or covectors) on a surface and C is
a vector (or covector) in three space.

However, the expression *should* be formally expressed as (A*B)*C, since
A*B*C can ambiguously be interpreted as A*(B*C), which is undefined.


From: Ken Turkowski <>
Bill Silvert <
Joe Grcar <>
C T H Baker <>
Date: Tue, 5 Oct 1999 08:37:59 -0700
Subject: Re: Is Scientific Computing Part of Computer Science?

In last week's NA Digest, Martin Berzins <> wrote:

> Every 5 years or so in the UK there is a Research Assessment Exercise
> whereby the research of all University departments is examined.
> The definition of Computer Science for the forthcoming exercise makes
> no mention of Scientific Computing. I'd be interested in the reaction
> of the NA-digest community to this.


Ken Turkowski replies:

Similarly, I'm amazed that very few computer scientists know anything
- frequency analysis and filtering (FFT, convolution)
- numerical analysis

Several times annually, I see someone inverting a matrix by computing
cofactors and determinants (accumulating in single-precision!). This sort
of naivete has got to be corrected!

Ken Turkowski
Immersive Imaging Technologist
Apple Computer, Inc.


Bill Silvert replies:

This is an interesting question, but should be broken into two parts --
SHOULD it be a part, and IS it a part. Clearly the needs of scientific
computing are of academic interest, and some computer scientists work in
this area, but many departments overlook it.

The case of FORTRAN illustrates this. FORTRAN is widely used for
scientific computing, but many CS departments refuse to teach it on the
grounds that it is poorly constructed and is not a good subject for
teaching CS. True, but this gap between theory and application has some
pretty negative side effects.

Bill Silvert
Habitat Ecology Section
Bedford Institute of Oceanography,
Dartmouth, Nova Scotia, CANADA


Joe Grcar replies:

Computer science began as an interdisciplinary subject
once synonymous with scientific computing. Today, the
two have little in common besides the transposed names.

The truth of this is revealed by a cursory inspection of
major computer science journals. There are few if any
articles about scientific computing. Examine, for example,
the annual percent of articles on any numerical subject
in JACM, the flagship journal of the ACM. The numerical
content peaks at over 60% in 1960, and fluctuates well
below 10% since 1980.

The reason is, scientific computing remains inter-
disciplinary. The question it addresses is numerical
calculation. This is important but merely procedural
to the sciences; it is not the goal of their intellectual
pursuit. Moreover, as Steve Smale pointed out in his
SIAM von Neumann lecture, numerical analysts never
discovered a theoretical framework that simultaneously
treats questions of error propagation and algorithmic
complexity. So when computer science became an
established academic subject in the 1960's and 70's,
the intellectual core formed around the logical and
combinatorial theory of algorithms without accommodating
questions of numerical error. The latter can be viewed
as part of the mathematical theory of approximation, so
I would expect numerical analysis to find a place there.

Thus, responding to Martin Berzins' question in NA Digest
(v 99 n 39), "is scientific computing part of computer
science?", the answer is "no". We might like the answer
to be different, but the facts plainly indicate it is not.

The point that Martin should make to the authorities
is something like this. Scientific computing is an
integral part of industrial design and scientific research.
One can even argue it is an important aid to making
government policy, since scientific computing is used
to predict the future climate and to develop weapons.
But scientific computing done well is an interdisciplinary
undertaking. None of the participating fields can claim
they alone do the whole thing well, or that projects
in the interdisciplinary subject can compete successfully
for a given field's research funds.

So, given that research in scientific computing is important
and that it is not part of any established program, then
how do the authorities propose to support it?

Lacking some answer to this question, I expect the current
Balkanization of scientific computing to continue. The
inevitable outcome of this will be the use of suboptimal
computing methods and the unrealized potential to address
important scientific and engineering problems.

Joe Grcar


Christopher Baker replies:

In NA Digest of October 4 (Volume 99 : Issue 39) Martin Berzins asks,
prompted by RAE2001 -- the Research Assessment Exercise in the UK,
whether Scientific Computing is part of Computer Science. The _draft_
documents issued in connection with RAE2001 (including the definition
of the boundaries of the subjects and the criteria and working
practices) have been issued for the purpose of consultation, and this
and similar issues ought to be raised before OCTOBER 15TH with the RAE
team, for communication to panels:

As the Chairman of the Applied Mathematics Panel, which includes
_Numerical_ _Analysis_ in its remit, I shall be happy to raise the
question with the Chairman of the Computer Science Panel. The chairs
of panels in the related areas (Mathematics, Science & Engineering)
meet on Tuesday next. Perhaps I can remark that the general issue of
interdisciplinary research (which I think may be related to this
question) is one to which increased priority is being given,
reflecting its importance. See
The draft criteria for the Applied Mathematics Unit may be read at
Reference to interdisciplinary material and material on the borders of
different assessment units is made in this document. The draft
criteria for all units are available from (as WORD docs!).

RAE2001 may be thought to be a rather local concern, affecting only
the UK, but for better or worse (depending on your viewpoint) these
things acquire an international fashionability, governing the funding
of national research. One of the judgements to be made in RAE2001 is
whether research undertaken at an institution in any given area is of
international excellence. In that respect, and as an innovation, the
panels will approach some non-UK experts to ask for comment.

Christopher Baker
Chair of the Panel for UoA23 (Applied Mathematics)


From: Jeremy Siek <>
Date: Tue, 5 Oct 1999 02:22:50 -0500 (EST)
Subject: New Release of the Matrix Template Library

Major New Release of the Matrix Template Library
Version 2.1.2-14

Newly Supported Compilers:
Microsoft Visual C++ 6.0
Metrowerks CodeWarrior Pro 5.0 (both Mac and x86)

After much blood, sweat, and tears we are happy to announce the port
of MTL to Visual C++ as well as to CodeWarrior. The ports for both
compilers have passed the full MTL test suite (all 354,432 tests). We
have also ironed out many of the smaller issues with the SGI, KCC, and
g++ compilers (including an update for g++ 2.95). The new version
of MTL is available for download at:

Thanks to Valient Gough we have added lu_solve() and lu_inverse()
routines to make it more convenient to use lu_factor() to solve
systems of equations. Thanks to the rest of you for sending
in bug reports, bug fixes, and suggestions!

We encourage MTL users who have written algorithms, data structures
or utility functions that might be useful to others to send your code
in. It is all about code reuse!

There has been a couple small interface changes that are listed
on the web page under "What's New".


Jeremy Siek and Andrew Lumsdaine


From: Tony Skjellum <tony@Aurora.CS.MsState.EDU>
Date: Fri, 8 Oct 1999 14:33:01 -0500 (CDT)
Subject: Parallel Mathematical Libraries Project

We have released the Parallel Mathematical Libraries Project first public
release (PMLP). This is a joint effort of MSU, Intel, VNIIEF, and LLNL.
It has sparse iterative, direct, sequential and parallel solvers in C++,
with beta C and Fortran interfaces at present. It supports NT systems and
NT clusters (using MPI).

A lot of modern C++ techniques have been applied to making this system
flexible in data structure, and also to exploit opportunities for
performance. This is the first release of the library, and we expect to
continue improving in future.

Please visit the PMLP page at

Tony Skjellum


From: Jose Castillo <>
Date: Mon, 4 Oct 1999 15:15:22 -0700 (PDT)
Subject: PanAmerican Workshop on Applied and Computational Mathematics

The Third PanAmerican Workshop on Applied and Computational Mathematics
(PWACM III) will be held in Chile, December 12-17, 1999. The Workshop will
emphasize applications of mathematics to industry, technology, science and
society. Proposals for mini-workshops, short talks, posters, and short
courses are solicited. See

Thanks, Jose


From: Daniel Hershkowitz <>
Date: Sat, 9 Oct 1999 23:21:09 +0200 (IST)
Subject: Electronic Journal of Linear Algeba

The International Linear Algebra Society (ILAS) is considering the production
of a hard copy of volumes 1-4 of the Electronic Journal of Linear Algeba (ELA)
(about 320 pages), and we have been working and negotiating with several
printing companies about quality, price, ... . We hope to sell the hard copy
(probably soft cover) to ILAS members, other linear algebraists, interested
mathematicians, and also to libraries. The cost is expected to be $20 with a
20% discount for ILAS members, including surface mail shipping.

In order to determine how many copies should be produced, we are conducting
an electronic survey. We ask you to e-mail ASAP, but no later than the
October 15, to

Jim Weaver:

your response to the question that follows. Your answer does not commit
you in any way but please answer as accurately as possible.

Our plan is to make hard copies of future volumes of ELA available to those
who wish to purchase them.

The ILAS Executive thanks you for your help.


YES________ NO________.



From: Bruce A Wade <>
Date: Tue, 5 Oct 1999 11:49:02 -0500 (CDT)
Subject: IMACS Conference on Scientific Computing and Mathematical Modeling

May 25-27, 2000, Milwaukee, Wisconsin
Hosted by the University of Wisconsin-Milwaukee

Conference Topics:

Air and Water Pollution Models
Atmospheric Science
Computational Fluid Dynamics
Domain Decomposition
Financial Mathematics
Grid Generation
Ill-Posed Problems
Industrial Mathematics
Image Processing
Mathematical Biology
Mathematical Optimization
Multi-grid Methods
Parallel Computing
Recent Algorithms for solving PDE's and ODE's
Stiff Computations


Please send extended abstracts by January 10, 2000 to:

Dr. S.K. Dey
Department of Mathematics
Eastern Illinois University
Charleston, IL 61920 (USA)

Selected papers will be published in full in the proceedings and all
abstracts (other than those in the proceedings) will be published in the
book of abstracts.

For more information please visit

or contact

Bruce A. Wade (, David H. Schultz (
or Suhrit K. Dey (


From: Do Y. Kwak <>
Date: Wed, 06 Oct 1999 13:36:21 +0000
Subject: KSIAM Workshop on Domain Decomposition

First International KSIAM Workshop
Domain Decomposition Method
Seoul National University, Sangsan Hall
Oct 29 - 31, 1999
Seoul, Korea

We announce 1st International KSIAM Workshop. The KSIAM aims to gather
mathematicians and engineers at the same podium, encourage them to find
common interests, work together in or near Korean peninsula. Its scope
includes all areas of applied mathematics, engineering, economics,
management science, medical sciences, etc., which uses mathematics as
a tool. The society also seeks to promote interdisplinary collaboration
between mathematician and engineers. The topic of this particular
Workshop is the Domain Decomposition Methods. DDM has served as a main
tool in in scientific computations arising in the fields such as
Numerical Analysis, Computational Fluid Dynamics, Mechnical Engineering,
etc. The objective of this Workshop is to promote understanding and use
of DD for the solution of problems arising in various fields of science
and engineering and to promote interaction between researchers. The
Workshop will include invited talks by leading experts and contributed
talks in the related fields.

Invited Speakers:

P. Bjorstad(University of Bergen, Norway)
O. Widlund, (NYU. USA)
D. Keyes, (ODU, USA)

Contributed talks :
Sangback Ma, (A scalable parrellel preconditioner for large sparse
linear system on a message passing system)
Jinhee Lee, (Application of Pseudospectral Domain Decomp. Method to
Structural Mechanics)
Kwang Yeon Kim and Do Y. Kwak, (Mixed Covolume Methods for quasilinear
Sea Jang Youn, Hyung-Suk Kang, (Comparison of Heat Loss from a
rectangular fin)
Haecheon Choi, (Active Turbulence Control using Mathematical Theory)
SeokChan Kim

Organizing Committee:
Ha Jine Kimn (Ajou University) :
Do Young Kwak (KAIST)
Yonghoon Kwon (Pohang University of Science and Technology) :
Sang Kwon Chung (Seoul National University) :
Sang Geun Hahn(KAIST)
Seung Jo Kim (Seoul National University) :


Web page

For everything and more call
Do Young Kwak(KAIST) tel (042) 869 - 2720, e-mail
Ha Jine Kimn (Ajou Univ.): tel (0331) 219 - 2433, e-mail


From: A. Augusto de Sousa <>
Date: Wed, 06 Oct 1999 10:43:56 +0100
Subject: VECPAR'2000, Vector and Parallel Processing



Deadline for submission of abstracts: October 29, 1999
Proposals for tutorials due: October 29, 1999
Final papers due: March 31, 2000
Deadline for early registration: April 28, 2000
VECPAR'2000 web site:

VECPAR'2000 is a multidisciplinary meeting on vector and parallel
processing. This will be the fourth in a series of conferences initiated
in 1993, and organised by the Faculty of Engineering of the University of
Porto, Portugal.

The main objective is to disseminate research results on parallel and
distributed computing in many areas of science and engineering.


Papers are solicited in all areas of vector, parallel and distributed
computing applied to a broad range of research disciplines. Specially
welcome are papers on "Applications of Parallel and Distributed Computing
in Engineering" - the major theme of VECPAR'2000.

The principal topics of VECPAR'2000 include but are not limited to:

* Cellular automata
* Computational fluid dynamics
* Crash and structural analysis
* Data warehousing and data mining
* Distributed computing and operating systems
* Fault tolerant systems
* Imaging and graphics
* Interconnection networks
* Languages and tools
* Numerical methods
* Parallel and distributed algorithms
* Parallel and distributed computing in education
* Real-time and embedded systems
* Reconfigurable systems


* Michael Duff (University College London, UK)
"Thirty Years of Parallel Image Processing"

* Ian Foster (Argonne National Lab. and the Univ. of Chicago, USA)
"High Performance Computing on the Internet"

* Roger Owen (University of Wales Swansea, UK)
"Finite/Discrete Element Analysis of Multi-fracture and Multi-contact

* Ugo Piomelli (University of Maryland, USA)
"Large-Eddy Simulations of Turbulent Flows, from Desktop to Supercomputer"

* Mark Stadtherr (University of Notre Dame, USA)
"Parallel Computing Applications in Chemical Process Engineering"

* Dietrich Stauffer (Cologne University, Germany)
"Cellular Automata: Applications"


The paper selection for the meeting will be made on the basis of an
extended abstract (between 1000 and 2000 words). Extended abstracts should
describe the purpose and scope of the work, contribution to the
state-of-the-art, methods used, essential results already obtained, results
to be included in the final version of the paper, conclusions and
supporting figures and references where appropriate.

Detailed instructions for abstract submissions can be found in the
conference Web pages:

Submissions should be sent until October 29, 1999.


For more information, please consult the conference Web pages, using the
URL address

contact the meeting secretariat or the organising committee at


From: Mary Pugh <>
Date: Wed, 6 Oct 1999 09:53:23 -0400 (EDT)
Subject: Conference at NYU on Nonlinear Analysis

Nonlinear Analysis, 2000
May 28 - June 2, 2000
Courant Institute, New York University

This conference is dedicated to the state of the art in nonlinear
analysis and its applications, with emphasis on partial and ordinary
differential equations. Applications will include numerical analysis,
optimal control, inverse problems, mathematical physics, dynamical
systems, fluid dynamics, mathematical biology, mathematical finance,
and other areas of applied mathematics. All talks will be short
presentations by promising junior scientists. There will be 60 to
70 presentations during the week. In addition there will be open
discussion sessions and small working groups to discuss topics and
approaches in more detail. Please see

or send Mary Pugh e-mail (


From: MaryDell Tholburn <>
Date: Wed, 06 Oct 1999 15:50:55 -0600
Subject: Symposium on Computing in Object-oriented Parallel Environments

ISCOPE'99 Call for Posters

The Third International Symposium on
Computing in Object-oriented Parallel Environments

December 7-10, 1999
Crowne Plaza Hotel in Union Square
San Francisco, CA, USA

The third International Symposium on Computing in Object-oriented
Parallel Environments (ISCOPE'99) Conference will be held in San
Francisco, California, USA, during December 7-10, 1999. ISCOPE is a
leading forum where researchers and practitioners of high-performance
object-oriented computing can exchange technical ideas and investigate
success stories in application deployment.

In the ISCOPE'99, a poster session will be held. Authors preferring an
informal and interactive presentation of their fresh results or on-going
projects may submit a proposal for the poster.
The topics include:
* Scientific applications
* Parallel/Distributed problem solving environments
* Parallel/Distributed languages and systems
* Compiler technologies and performance issues
* High-performance run-time systems
* Programming/Debugging/Visualization tools
* Class libraries, frameworks, and design patterns
* Components, reuse, and portability
* Software Engineering issues
* Theoretical foundations, formal methods
* Multi-agent systems
* Reflection and Metaprogramming
* High-performance databases and data mining
* Financial applications
* Real-time applications
* Global computing, Internet computing and the Grid
* Heterogeneous computing environments
* Standards for object interoperability

Proposals must be sent to via e-mail,
which should include:
- Subject: "[ISCOPE99] Poster proposal" must appear in the subject line.
- Poster Title
- An abstract (less than 300 words) that describes the content of the
- Name, address, e-mail, phone, and fax information for the presenter.

Deadline for submission: October 22th, 1999.
Author Notification : November 1st, 1999.


From: Plamen Yalamov <>
Date: Thu, 7 Oct 1999 10:31:36 +0400 (MEDT)
Subject: Conference in Bulgaria on Numerical Analysis and Applications

Rousse, Bulgaria
June 11-15, 2000

organized by the University of Rousse, Bulgaria in cooperation with SIAM
and endorsed by the International Linear Algebra Society

This conference follows the meeting held in June 24-28, 1996 at the
University of Rousse. There were more than 80 participants from 22
countries around the world. The refereed proceedings of the first meeting
were published by Spinger Verlag in the LNCS series.

The main tracks of the current conference are:

1. Numerical Linear Algebra.
2. Numerical Methods for Differential Equations.
3. Numerical Modeling.
4. High Performance Scientific Computing.

We would like to invite organization of Minisymposia focused on a subtopic
pertinent to the conference tracks. Each minisymposium should consist of
four or more presentations. To contribute a Minisymposium, please send an
abstract and the names of authors and titles of their presentations. Short
abstracts of each talk will be very helpful. The deadline for submission of
proposals is February 1st, 2000.

Please e-mail the materials (PostScript, LaTeX or ASCII) to

Plamen Yalamov
Lubin Vulkov
Marcin Paprzycki

Detailed and regularly updated information can be found at:
in the NA-DIGEST.


From: Jens Burmeister <>
Date: Fri, 8 Oct 1999 16:11:11 +0200 (MET DST)
Subject: GAMM-Seminar Leipzig on Schroedinger Equations

Dear colleagues,

I'm very pleased to announce the

16th GAMM-Seminar Leipzig on
Numerical Techniques for Schroedinger Equations
February 3rd to 5th, 2000.

Chairmanship: Wolfgang Hackbusch.
Location: Max-Planck-Institute
for Mathematics in the Sciences,
Leipzig, Germany.

The first fifteen GAMM-Seminars were held in 1984, 1986-1999 at
the Christian-Albrechts-University to Kiel under the title
Annual GAMM-Seminar Kiel.

For more information please visit our website

With best regards
Jens Burmeister


From: Bo Kagstrom <>
Date: Fri, 8 Oct 1999 17:35:42 +0200 (MET DST)
Subject: Research Positions at HPC2N, Umea University, Sweden

Dear friends,

Please, find an announcement for job positions
at HPC2N, Umea University that we would like
to have announced in the NA-digests.

Many thanks in advance.
Best regards,
Bo Kagstrom

High Performance Computing Center North (

HPC2N is a national center for scientific and parallel computing located
at Umea university. The activities include education, research and competence
development in high-performance computing (HPC), visualization, and VR
technology; regional and national services for HPC production runs in
scientific and industrial applications; knowledge transfer (new users,
new areas); application and user support;etc.
The parties of HPC2N are Umea University, Lulea University of Technology,
The Swedish Institute of Space Physics in Kiruna, The Swedish University
of Agricultural Sciences (SLU) in Umea and Mid-Sweden University.

We welcome applications for the following new positions:

Advanced Consultants in Scientific and High Performances Computing,
Scientific Visualization and VR applications (dnr 3155-1773-99)

One or two full time positions at HPC2N. You will actively support and take
part in research and development (R&D) projetcs that use Umea University's
advanced computer resources for parallel computing, access and processing
of data, scientific visualization and VR applications.

You should have extensive experience from R&D work in one or several of
the areas mentioned in the position. We expect that you have a Masters degree
in Computing Science and Engineering or a similar education. A Ph.D. degree
and pedagogical experience are considered a merit.

Positions for PhD Studies in Scientific and Parallel Computing,
(dnr 3155-1774-99)

One or two full time positions at the Department of Computing Science.
You will conduct PhD studies and research in the development of efficient
methods, tools, algorithms and and library software for high-performance
parallel computer systems. The post-graduate studies will include basic
research as well as application-oriented research. We work in an inter-
national environment in close collaboration with well-known universities
and research institutes.

We expect that you have a Masters degree in Computing Science and Engineering
or a similar education. It is a merit to have documented merits and
experiences in Scientific, Parallel and High Performance Computing.

For further information, please, contact Professor Bo Kagstrom,
email: Applications are to be directed and sent to
Registrator, Umea University, S-901 87 Umea, Sweden. For the complete
announcement, see
The CLOSING DATE for application to the positions (dnr 3155-1773-99
and dnr 3155-1774-99) is October 29, 1999.

You are most welcome with your application!


From: Roland England <>
Date: Fri, 08 Oct 1999 16:51:30 +0100
Subject: Position at The Open University


The Open University invites applications for a Chair in Applied Mathematics -
as part of a major commitment to strengthen both research and teaching in
Applied Mathematics.

You should have an excellent record of research publication and of teaching at
a range of levels, academic leadership qualities (proven or potential), and a
vision for our curriculum development.

You will have an opportunity to build a strong research team: we are making
available at least one additional Lectureship and one additional
Lectureship/Senior Lectureship, to be filled following your appointment. Your
leadership qualities are more important than your precise research area, but we
would particularly welcome your application if you work in non-linear
dynamics, quantum mechanics or numerical analysis of dynamical systems.

You will lead the Department that teaches more Applied Mathematics students
than any other UK University, with impressive multi-media resources to ensure
that your courses are at the forefront of current teaching and learning

The post is based in Milton Keynes. Confidential informal enquiries may be
made of Professor David Brannan (Tel: +44 (0)1908-652892; email: Further particulars of the post and the application
process may be obtained from Ms J Barker (Department of Applied Mathematics,
The Open University, Walton Hall, Milton Keynes, Bucks MK7 6AA, UK;
Tel: +44 (0)1908-653580; email:

The closing date for applications is 5th November 1999. Shortlisted candidates
will be invited to visit the Department in late November/early December, and
interviews will be held on 16th December 1999.

Disabled applicants whose skills and experience meet the requirements of the
job will be interviewed. Please let us know if you need your copy of the
further particulars in large print, on computer disk, or on audio-cassette
tape. Hearing impaired persons may make enquiries on
Milton Keynes (01908) 654901 (Minicom answerphone).

Equal Opportunity is University Policy.

Post No 10586


From: Joyce Aitchison <>
Date: Tue, 5 Oct 1999 13:56:18 +0100
Subject: Positions at RMCS, Cranfield University

Applied Mathematics & Operational Research Group
Cranfield University - Royal Military College of Science, Shrivenham.

Applications are invited for two posts in the Applied Mathematics and
Operational Research Group of Cranfield University at the Royal Military
College of Science, Shrivenham.


The appointee will contribute to the teaching of mathematics or statistics
to specialist MSc and short course programmes. He/she will also provide
service teaching to non-specialist courses and must be prepared to work
with a wide range of students.

Applicants should have an established record in an appropriate research
area or clear research potential. The current research activities of the
group include mathematical modelling, numerical methods, scientific
computing and applied statistics. Applications are invited from candidates
with compatible research interests. The successful candidate will be
expected to develop his/her research activities and to supervise
postgraduate students.

Flexibility and willingness to work with other members of staff and a
variety of students are essential. Reference DIS21.


The Group also wishes to appoint a Teaching Associate to assist with its
Computational Mathematics activities. The main duties will be to provide
support for the wide range of computer hardware and software which is in
use within the group, to assist in the preparation of computer-based
teaching material and the running of computer practicals, and to give a
limited number of lectures and tutorials. There will be an opportunity to
become involved with research projects within the group.

The appointment will ideally suit a graduate in a mathematically related
discipline with an MSc degree or similar qualification. Experience in
scientific programming, preferably in Fortran, C or Matlab, is essential.

The successful candidate will be required to work on a variety of projects
and so flexibility and willingness to work with different members of staff
and groups of students is essential. Reference DIS22.

Informal enquiries about both posts may be made to Joyce Aitchison on
(01793) 785276 or email or see our
website at

Application forms and further details may be obtained from the Personnel
Office, Cranfield University, RMCS Shrivenham, Swindon, SN6 8LA. Tel:
(01793) 785758 quoting the appropriate reference.

Completed applications should be sent to the Personnel Office before the
closing date of 26 November 1999.


From: William Layton <>
Date: Tue, 5 Oct 1999 09:32:18 -0400 (EDT)
Subject: Faculty Position at University of Pittsburgh


The Mathematics Department of the University of Pittsburgh invites
applications for an endowed Mellon Chair, to begin with the Fall Term 2000
subject to budgetary approval. Mellon Chairs are intended to be the most
prestigious academic appointments at the University of Pittsburgh.
Applicants should have outstanding research records and be acknowledged
leaders in their fields of expertise. We also seek excellence in teaching
so applicants should demonstrate a dedication to teaching and supervising
students. The applicant should be committed to taking a leadership role
in advancing the research profile and national reputation of the Department.
We particularly encourage applications from members of under represented
minority groups and women. The University of Pittsburgh is an affirmative
action, equal opportunity employer. Send a vita, and the names and
addresses of up to five experts who support your application to:

Mellon Search Committee
Department of Mathematics
University of Pittsburgh
Pittsburgh, PA 15260

The Search Committee will begin the selection process on January 4, 2000.


From: Ronald Morgan <>
Date: Thu, 07 Oct 1999 14:36:34 -0600
Subject: Faculty Position at Baylor University

The Baylor University Department of Mathematics invites applications for a
tenure track position, at the assistant professor level, starting August
2000. Excellence in teaching and research/scholarship is essential. A
current curriculum vitae, three recent letters of reference, a photocopy
of each official transcript, and statements about your philosophy of
teaching and of research must be included in the application.
Applications will be reviewed beginning Nov. 1, and will be accepted until
the position is filled. To ensure full consideration, an application
should be completed by Dec. 15, 1999. Baylor is a Baptist university
affiliated with the Baptist General Convention of Texas. As an
Affirmative Action/Equal Employment Opportunity Employer, Baylor
encourages minorities, women, veterans, and persons with disabilities to
apply. Send to Mathematics Search Committee, P.O. Box 97328, Waco, TX
76798-7328. Feel free to contact Ron Morgan at if you
have questions.


From: Tim Phillips <>
Date: Fri, 08 Oct 1999 15:02:10 +0100
Subject: Lectureships in Mathematics at University of Wales Aberystwyth

Lectureships in Mathematics

University of Wales Aberystwyth

Applications are invited for two lectureships in the Department
of Mathematics at the University of Wales, Aberystwyth. The
successful candidates will interact with a thriving research group
specializing in Computational Rheology. The group has a Grade 5
rating in Applied Mathematics. Its activities involve constitutive
models for complex fluids and the numerical prediction of complex
flows, feeding off a central experimental programme. Candidates
with strong research profiles or potential in any area of modern
applied mathematics, analysis, or computation, who are willing to
collaborate on challenging problems in the dynamics of complex
fluids, are encouraged to apply. One of those appointed will have
responsibility for teaching courses in analysis. The posts are
available from January 2000, but starting dates can be delayed if

Further particulars and application forms, returnable by 12th November
1999, may be obtained from the Personnel Office, Old College,
King Street, Aberystwyth, Ceredigion SY23 3AX (Tel: 01970 621832;
fax: 01970 622975; e-mail:

Informal enquiries may be made of Professor Russell Davies
(Tel: 01970 622755; fax: 01970 622777; e-mail:
or Dr Tim Phillips (Tel: 01970 622769; fax: 01970 622777;


From: Georgina Copeland <>
Date: Tue, 5 Oct 1999 17:04:20 +0100
Subject: Positions at University of Warwick



Applications are invited for Lectureships in the Departments of Mathematics
and Computer Science. We seek individuals who are committed to teaching and
who wish to build strong research programmes. In particular the purpose of
these two positions is to strengthen a growing research programme in
Applied and Computational Mathematics at Warwick University; both the
Mathematics and Computer Science Departments at Warwick were given the
highest possible rating in the most recent UK research selectivity exercise.

The position in The Mathematics Department is in the area of Applied
Analysis. Expertise in applications of fields such as Dynamical Systems,
PDEs, Stochastic Processes or Wavelets and Multiresolution Analysis will be
particularly welcomed. Preference will be given to qualified candidates
knowledgeable in computational aspects of their field.

The position in The Computer Science Department is in the area of
Scientific Computing. Expertise in the application and analysis of high
performance or distributed computing environments to the solution of
problems arising in fields such as numerical linear algebra and
optimisation, molecular dynamics and image/signal processing will be
particularly welcomed. Preference will be given to qualified candidates
whose research and teaching interests complement both those of the Computer
Science Department and the research group in applied and computational
mathematics within the Mathematics Department.

It is anticipated that appointments will be made at the Lecturer Grade A
scale =A317,236 - =A322,579 pa but there is some flexibility and more
experienced candidates should not be discouraged from applying.

Further information is available from and enquiries may be made to Professor A. Stuart

Please quote appropriate reference. 9/2A/99

Applications forms and further particulars can be obtained from the
Personnel Office, University of Warwick, Coventry CV4 7AL 02476 523685
e:mail or from the web page

Closing Date: 15th December 1999



Applications are invited for Lectureships in the Department of Mathematics.
We seek individuals who are committed to teaching and who wish to build
strong research programmes. Outstanding candidates from any area of the
mathematical sciences are invited to apply. For one of the posts preference
will be given to candidates in applied analysis and for this expertise in
applications of dynamical systems, pdes, stochastic processes or wavelets
would be particularly welcomed. The department is also keen to attract
candidates in any area of financial mathematics.

There are both permanent and 3-year posts available. The latter 3-year
Warwick Zeeman Lectureship(s) are intended for recent PhD's of outstanding
promise who would like an opportunity to begin their careers at one of the
UK top rated departments in an environment that nurtures and encourages
both research and teaching. Warwick Zeeman Lecturers will be expected to
continue their already promising research programmes, will carry a two
course per year teaching load, will act as tutors for approximately 17
students and will be expected to participate fully in the scholarly life of
the department. Each appointee will have an academic staff mentor who will
actively help in preparing the person for his or her future career by
advising on pedagogy and development of teaching and communication skills
and in identifying suitable opportunities for permanent posts.

It is anticipated that appointments will be made at the Lecturer Grade A
scale =A316,655 to =A321,815 pa ) with progression by annual increments to the
Lecturer Grade B Scale subject to satisfactory performance. However, there
is some flexibility and more experienced candidates should not be
discouraged from applying for a permanent post.

Please quote appropriate reference: 9/A/99

Further information may be obtained from and
enquiries may be made to Professor David Rand (e:mail:

Applications forms and further particulars can be obtained from the
Personnel Office, University of Warwick, Coventry CV4 7AL 024 7652 3685
e:mail or from the web page

Closing Date: 15th December 1999


From: Claudio Canuto <>
Date: Thu, 07 Oct 1999 13:09:05 +0200
Subject: Pre-Doc Fellowship at the Politecnico di Torino

The Department of Mathematics of the Politecnico di Torino (Italy)
is willing to support one PhD student enrolled in the local PhD program
in Applied Mathematics, with the final goal of preparing a Thesis on a
topic related to `Multilevel approximations of partial differential
Since funding comes from the European Union (TMR Project), the law
requires the fellowship to be exclusively reserved to non-Italian
citizens of the European Union (plus Israel).
The fellowship amounts to 1200 Euros per month, plus the coverage
of tuition fees. The grant initially covers the first year of Doctorate
study, but it can be renewed for the second and third year. There will
be the possibility of carrying on a limited teaching activity.
Candidates should register in our PhD Program mandatorily before
November 2, 1999. Please note that the Italian law requires an Admission
Exam to PhD Programs, which will be held in Torino in December 1999. The
PhD activity will start on January 2000.
I urge all potential candidates to contact me as soon as possible, in
order to get any further information on the matter. Thank you for your
kind attention.


From: Hans Schneider <>
Date: Wed, 6 Oct 1999 09:14:58 -0500 (CDT)
Subject: Contents, Linear Algebra and Its Applications

Journal: Linear Algebra and Its Applications
ISSN : 0024-3795
Volume : 297
Issue : 1-3
Date : 20-Oct-1999

pp 1-7
Diagonability of idempotent matrices over noncommunicative rings

pp 9-22
Le theoreme de hua pour les algebres artiniennes simples
H Essannouni

pp 23-56
Stratification of linear systems. Bifurcation diagrams for families
of linear systems
I Garcia-Planas

pp 57-61
Operators which are remain convergent when multiplied by certain
Hermitian operators
B Cain

pp 63-80
Eigenvalues of tridiagonal pseudo-toeplitz matrices
D Kulkarni, SZEKAI Tsui

pp 81-85
Extensions d'operateurs auto-adjoints et defaut de reflexivite
M'HAMMED Benlarbi Delai

pp 87-105
Is every matrix similar to a Toeplitz matrix?
SM Mackey, N Mackey

pp 107-132
Inverse eigenvalue problem: existence of special mass-damper-spring
P Nylen

pp 133-155
Robust controllability and robust closed-loop stability with static
output feedback for a class of uncertain descriptor systems
C Lin, JL Wang

pp 157-175
Majorization polytopes
G Dahl

pp 177-182
On the decomposition of a matrix into the sum of stable matrices
Y Ito

pp 183-191
A note on the equivalence of a class of factorized Broyden families
for nonlinear least squares problems
H Ogasawara

pp 193-202
The distribution of the maximum condition number on great circles
through a fixed 2 x 2 real matrix
D Lewis

pp 203-203
Author index


From: Thomas Hogan <>
Date: Thu, 7 Oct 1999 13:42:09 -0400 (EDT)
Subject: Contents, Journal of Approximation Theory

Table of Contents: J. Approx. Theory, Volume 100, Number 1, September 1999

Gilbert Helmberg
A corner point Gibbs phenomenon for Fourier series in two dimensions

M. Alfaro, A. Mart\'inez-Finkelshtein, and M. L. Rezola
Asymptotic properties of balanced extremal Sobolev
polynomials: coherent case

Tam\'as Erd\'elyi
Notes on inequalities with doubling weights

Les{\l}aw Skrzypek
The uniqueness of norm-one projection in James-type spaces

Walter Roth
Korovkin approximation for weighted set-valued functions

D. Leviatan and I. A. Shevchuk
Some positive results and counterexamples in comonotone
approximation, II

L. De Michele and D. Roux
The Gibbs phenomenon for $L_{\rm loc}^1$ kernels

I. Bruj and G. Schmieder
Best approximation and saturation on domains bounded by curves of
bounded rotation

Borislav Bojanov
Markov interlacing property for perfect splines


End of NA Digest