NA Digest Sunday, October 24, 1999 Volume 99 : Issue 42

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

Submissions for NA Digest:

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Information about NA-NET:

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URL for the World Wide Web:

From: Michele Benzi <>
Date: Fri, 22 Oct 1999 16:46:59 -0600 (MDT)
Subject: Nick Metropolis (1915-1999)


Nicholas Constantine Metropolis, one of the pioneers of the computer era,
died Sunday October 17 in Los Alamos. He was born in Chicago on June 11, 1915.

Metropolis is best known for the development (joint with Stan Ulam and
John von Neumann) of the Monte Carlo method. Together with Stanley Frankel,
he was also the first to code a problem for the ENIAC in 1945-1946, a task
which consumed approximately 1,000,000 IBM punched cards.

In 1953, Metropolis co-authored the first paper on the technique that came
to be known as Simulated Annealing. He also made several early contributions
to the use of computers in the exploration of non-linear dynamics. In the
Sixties and Seventies he collaborated with Gian-Carlo Rota and others on
significance arithmetic. Another contribution of Metropolis to numerical
analysis is an early paper on the use of Chebyshev's iteration for solving
large-scale linear systems (joint with Blair, von Neumann, Taub and Tsingou).

Metropolis received his PhD in physics from the University of Chicago in 1941.
He came to Los Alamos in 1943 as a member of the initial staff of fifty
scientists of the Manhattan Project. Except for two periods (1946-1948 and
1957-1965), during which he was professor of Physics at the University of
Chicago, he spent his entire career at Los Alamos. There, he was the main
driving force behind the development of the MANIAC series of electronic

Metropolis gave a personal perspective of early computer developments in a
highly enjoyable (and provoking) article, "The Age of Computing: A Personal
Memoir", which appeared in the Winter 1992 issue of "Daedalus".

Michele Benzi
Los Alamos National Laboratory
Los Alamos, New Mexico


From: Roger Horn <>
Date: Mon, 18 Oct 1999 10:59:19 -0600 (MDT)
Subject: Re: Gram-Schmidt

I hope the following quotation will supply the information you were seeking:

The standard recursive formulae for transforming a given sequence
of independent vectors into an orthonormal sequence were stated
explicitly by Erhard Schmidt in a 1907 paper [22, p. 442]. The
essence of these formulae is implicit in an 1883 paper of J. P.
Gram [9], which Schmidt references in a footnote.

The quotation is from the end of Section 2 of R. Horn & I. Olkin, When
does A^*A = B^*B and Why Doies One Want to Know?, Amer. Math. Monthly 103
(1996) 470-482.

The references to Schmidt and Gram are:

J. P. Gram, Crelle 94 (1883) 41-73.
E. Schmidt, Math. Annalen 63 (1907) 433-476.



From: I. J. Anderson <>
Date: Thu, 21 Oct 1999 11:05:32 +0100
Subject: Re: 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?
- Ilse Ipsen

The fact that MATLAB gives no indication of any potential
problems with the example given is a definite cause for concern.
At the very least, MATLAB should throw an exception or issue a warning.
However, an error message would be better.

We cannot be comfortable with allowing A*B*C to be computed without
such a warning, because if we did, we would also have to accept
more complicated examples such as:
A = [1 1] B = [1] C=[1 4]
[1] [2 5]
[3 6]
and the product A*B*C*A*B.
Treated as (A*B)*C*(A*B), this is perfectly valid mathematically,
albeit a little non-standard, but when MATLAB tries it,
it gives an error message.
Either (a) A*B*C and A*B*C*A*B should both be invalid, or
(b) they should both be valid. We should not have one of each,
which is the case at present with MATLAB 5.3.

The key point to emphasise is that A*B*C is different
from (A*B)*C and A*(B*C). The first product is definitely
matrix multiplication since A, B and C are all matrices,
whereas the latter two products could involve one matrix
multiplication and one scalar multiplication.
Therefore it is wrong for MATLAB to presume that
A*B*C can be treated as (A*B)*C without the
programmer explicitly saying so.

With the matrices given above
s = A*B;
D = s*C
is a valid piece of code, as is
because the programmer is being unambiguous.
In both cases the programmer is allowing for the
possibility that A*B is a scalar.

MATLAB should treat products such as A*B*C in the same way
it treats standard products, A*B, namely:
if at most one of the operands is a non-scalar,
scalar multiplication should be used; otherwise
internal matrix dimensions should be checked.

This would allow (A*B)*C but reject A*B*C.

Dr I J Anderson
School of Computing and Mathematics
University of Huddersfield


From: Vincent Picaud <>
Date: Tue, 19 Oct 1999 09:41:31 +0200
Subject: Questions Related to Nonlinear GMRES

I'm using restarted GMRES method to solve nonlinear parabolic problems
(quench of superconducting coils). I'm looking for informations about :

1/ The way to chose DYNAMICALY the order m of the Krylov subspaces
during the iterations.
>In the case of GMRES(m) with CONSTANT m,
- a small m causes little work per iteration but lots of iterations
are needed to reach accuracy,
- a large m causes lots of works per iteration but little iterations
are needed to reach accuracy.

Numerical experiments show that an optimal m (to minimize the CPU-time)
exist. But I haven't found any informations about the way to choose m,
even in the case of a constant m during all the iterations. Who can help me?

2/ For the nonlinear GMRES(m),during the construction of the orthonormed
basis of the Krolov subspace, an small paramter "eps" must be choosen to
evaluate the action of Jacobian on vectors.

If F(X)=0 is the equation to solve, then, using finite differences

The question is :
-> how to choose (dynamicaly if possible) the value of "eps" ?
(for the moment I choose eps=Norm[-F[x0]], (because the value -F[x0] is
needed to start the construction of the basis and F[x0]->0 during the


From: Nick Higham <>
Date: Thu, 21 Oct 1999 21:57:50 +0100 (BST)
Subject: Moler Birthday Bash at The MathWorks

A meeting in honor of Cleve Moler's 60th birthday was held on Saturday
October 9th, 1999 at The MathWorks, Inc. headquarters, Natick, near
Boston. Organized by Jack Dongarra (University of Tennessee and Oak
Ridge National Laboratory), Gene Golub (Stanford University), Charles
Van Loan (Cornell University), and Jack Little (The MathWorks), the
meeting was attended by about fifty of Moler's external colleagues
plus employees of The MathWorks. On the Friday evening a reception
was held at The MathWorks. A table-top ice sculpture of the L-shaped
membrane (the Matlab logo, originating from Moler's Ph.D. topic) greeted
guests, and the various posters, demonstrations and Moler memorabilia
put together by The MathWorks staff made fascinating viewing.

The Saturday meeting comprised 18 informal talks by Moler's colleagues
addressing his research, his influence on science, anecdotes, and, of
course, Matlab. A description of some of the talks is given in a
longer version of this report that will appear in SIAM News. For a
full list of speakers see

In the evening a dinner was held at MIT's Endicott House.
After-dinner speaker was the person who bought the first ten copies of
Matlab (in 1985): Nick Trefethen (Oxford University). He finished with
a sequence of poems about people in the room: in each case Moler had
to guess the subject. Example:

I know a scholar beyond compare
Who writes so fast, with such a flair,
He'll finish Volume 5 before
Knuth gets from Volume 3 to 4!

The answer: Pete Stewart (University of Maryland).

To round off the night, staff of The MathWorks produced a game of
Matlab Jeopardy, fought between two teams of Numerical Analysts.
(For those not familiar with it, Jeopardy is a game show in which
contestants choose a square with a given dollar value from a board and
then have to answer the corresponding question.) Joe Hicklin (The
MathWorks) hosted, and a Matlab GUI displayed the board, questions and
scores. Fittingly, Moler's team won, by one point.

All in all, the meeting provided a fitting tribute to Moler's many
contributions to numerical analysis and scientific computing.

Photographs taken digitally by Jack Dongarra at the meeting can be
viewed at

Nick Higham


From: Gordon Erlebacher <>
Date: Tue, 19 Oct 1999 17:50:38 -0400 (EDT)
Subject: Workshop at Florida State on Computational Science

The Florida State University will inaugurate its School of
Computational Science and Information Technology (CSIT)
and hold a workshop on November 3-4, 1999. The goals of the
workshop are to obtain a historical background and a glimpse of
promising new developments in areas such as computing sciences,
geosciences and bioscience, a long-term perspective focusing on
opportunities and needs in these areas, and the impact of
information technology on education. This workshop is an important
first step toward conceiving a vision for an interdisciplinary
school aspiring to be a leader in the information age. It is
intended to be the harbinger of conferences, symposia, short courses
and other professional activities focusing on specific areas, or
groups of overlapping areas, of CSIT interest in the coming years.

The invited speakers are

Brian Cabral (SGI)
John McMasters (Boeing)
Douglas L. Dwoyer (NASA LaRC)
Michael I. Miller (Johns Hopkins)
Adam M. Dziewonski (Harvard)
Steven A. Orszag (Yale)
Robert Eisenberg (Rush Medical Center)
William Pulleyblank (IBM)
Juris Hartmanis (Cornell)
Warren Washington (NCAR)
Wick C. Haxton (U. of Washington)
Andrew B. White, Jr. (LANL)
Peter D. Lax (Courant Institute)

There will be an open-forum panel discussion that will discuss the
challenges and opportunities in building the research and education
infrastructure of a university program. The following is a tentative
list of participants in the panel:

Mark Eakin (NOAA), Geoffrey Fox (Syracuse), Paul Gilna (NSF),
Cliff Jacobs (NSF), Charles Koelbel (NSF), and John Rice (Purdue).

We believe that even partial success at attaining the workshop goals
would be of long term interest and, hence, we plan to make an
audio-visual recording of the workshop proceedings. It will be made
available to interested parties. Those interested in attending the
workshop are requested to register, either on-line or with Connie
Stoutamire at (850) 645-0305 or Further details
regarding the workshop will be posted on the Web site as they
become available.


From: David Silvester <>
Date: Wed, 20 Oct 99 10:24:23 BST
Subject: UK and Irish SIAM section Meeting

The next annual meeting of the United Kingdom and Republic of Ireland
section of SIAM will be held at Imperial College, London, on
Friday, 7th January 2000. The invited speakers will be
John Ball (University of Oxford), John Dold (UMIST, Manchester),
Roger Fletcher (University of Dundee), Derek Moore (Imperial
College) and Jan Verwer (CWI, The Netherlands).
This one day meeting is open to SIAM members and non-members.
The local organiser is John Barrett (email:,
and further details can be found via


From: Trini Flores <>
Date: Fri, 22 Oct 1999 10:24:05 -0500
Subject: SIAM Conference on Computational Science and Engineering

First SIAM Conference on Computational Science and Engineering
September 21-23, 2000
Wyndham City Center Hotel
Washington, DC

Conducted by the Society for Industrial and Applied Mathematics

Proposals for minisymposium and abstracts for contributed
presentations are welcome.

For additional information about the conference and how to
participate, please visit:


From: Wei Cai <>
Date: Fri, 22 Oct 1999 14:14:11 -0400
Subject: Chair Position at University of North Carolina at Charlotte

The University of North Carolina at Charlotte

Chair of Department of Mathematics

Applications and nominations are invited for the position of Chair of
the Department of Mathematics, begining Fall 2000. The Chair is expected
to provide leadership in the Department's research endeavors as well as
its instructional programs. Qualifications include a strong record of
research and a commitment to undergraduate and graduate teaching. Also
important is an equal appreciation of scholarly research in applied and
pure mathematics, statistics and mathematics education. Administrative
experience is preferable, but not mandatory. Appointment is a senior
rank on a 12-month basis and the salary is competitive.

The Department of Mathematics ( has active
research programs in Applied Mathematics (mathematical physics,
numerical analysis, inverse problems, probability, statistics, and
dynamical systems), Pure Mathematics (analysis, algebra), and
Mathematics Education. The department currently has 40 full time
faculty, 10 visiting faculty, 30 graduate students and 120
undergraduate majors, and offers degree programs leading to B.S. and
B.A. degrees in Mathematics, M.S. degrees in Applied Mathematics and
Applied Statistics, M.A. degrees in Mathematics and Mathematics
Education, and a Ph.D. degree in Applied Mathematics. The Department
strives to continue its quality research and teaching programs during
the university's planned transition to a research status institution.

The University of North Carolina at Charlotte, with an enrollment of
17,000 students, is the fourth largest campus in the North Carolina
University system and is located in the rapidly growing Charlotte
Metropolitan Area with a population in excess of 1.3 million. It enjoys
a mild climate and diverse cultural events as well as easy access to the
Blue Ridge Mountains to the west and the Atlantic coast to the east.

Candidates should submit a C.V., a statement of professional goals and
the names, addresses and telephone numbers of four references to Dr. Wei
Cai, Chair of Mathematics Chair Search Committee, Department of
Mathematics, UNC Charlotte, Charlotte, NC 28223 s. Reviewing of the
applications will begin in January 2000 and continue until the position
is filled. If you have any questions email Dr. Cai at The
University of North Carolina at Charlotte is an AA/EOE employer.


From: Rosie Renaut <>
Date: Fri, 22 Oct 1999 15:05:52 -0700
Subject: Visiting Position at Arizona State University

The Department of Mathematics at Arizona State University invites
applications for a visiting position at the Assistant Professor level
commencing Spring 2000. For complete information about application
requirements and process see
Application deadline is November 25, 1999 and weekly until the position
is filled. AA/EOE.


Date: Sun, 24 Oct 99 16:46:31 +0200
Subject: Postdoctoral Position at the Weizmann Institute

Postdoctoral position at the Weizmann Institute

The Gauss Center for Scientific Computation at the Weizmann Institute
of Science, Rehovot, Israel, is seeking a qualified candidate for a
Post-Doctoral position, to participate in the Center's development of
advanced multiscale computational methods. Possible directions include:

1. Multigrid methods, especially in fluid dynamics
2. Data assimilation in atmospheric simulations
3. Ab-initio quantum chemistry (many-eigenfunction problems)
4. Wave phenomena
5. Optimal feedback control
6. Computational physics: multiscale Monte-Carlo and Dirac solvers
7. Fast medical-imaging and radar reconstruction
8. Molecular dynamics
9. Multiscale image processing

Applicants should have completed their Ph.D. studies between
January 1998, and the appointment start date. They should have a
strong background and programming experience in scientific computing,
preferably in one of the above areas and/or in multiscale computational

The post-doc appointment is for a period of one or two years and in some
cases may be extended for a third year. It carries a monthly stipend and
provides an annual fund for scientific travel.

Applications and request for further information should be sent to
the Gauss Center Secretary:

Mrs. Carol Weintraub
Dept. of Applied Mathematics & Computer Science
The Weizmann Institute of Science
Rehovot 76100, Israel
Fax: +972-8-9342945
Phone: +972-8-9343545

The application should include a CV, a description of previous
experience in scientific computing and the particular areas of
interest, and names of two referees, who should separately send
their letters of recommendation to the above address.

More information on the research at the Gauss Center can be found
at our web site:


From: Eduardo Sontag <>
Date: Mon, 18 Oct 1999 13:55:35 -0400 (EDT)
Subject: Internships at Rutgers University

The Rutgers University Math Dept is interested in developing a
program of summer industrial internships for our graduate students.

I would be extremely appreciative of any suggestions of contacts
in industry (NY metro area preferred but not necessary), as well
as any suggestions about how to develop such a program.

Let me also remind readers of the still-open search for a Senior
faculty member who would be willing to work on establishing industrial
connections as well as organizing an applied Master's program; please
see our homepage and follow links from there.

Thank you for your help,
Eduardo Sontag
Department of Mathematics, Rutgers, New Brunswick, NJ 08903 --


From: William Layton <>
Date: Tue, 19 Oct 1999 09:30:34 -0400 (EDT)
Subject: Chaired 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
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: Patricia Humphrey <>
Date: Tue, 19 Oct 1999 12:57:57 -0400
Subject: Faculty Position at Georgia Southern University


Four (4) Tenure-Track Assistant or Associate Professors, Mathematics, =
Search Number 38985

Ph.D. in mathematical sciences or a closely related field is required by =
the starting date of the position, August 1, 2000. Salary is dependent =
upon qualifications. Command of written and spoken English is required. =
A demonstrated potential for scholarly activity as well as evidence of =
excellence in teaching are required. Highly qualified applicants in all =
areas will be considered, however preference will be given to candidates =
with training or experience in at least one of the following areas: =
applied analysis, computational mathematics, biomathematics, and =
biostatistics. Duties will include teaching undergraduate and graduate =
courses in mathematics and supervision of research projects for MS =
degree candidates. Departmental representatives will be available at the =
national AMS/MAA meeting in Washington, DC, in January 2000 to discuss =
these position with interested parties. For more information on our =
department, see our web pages at

Georgia Southern University, a unit of the University System of Georgia, =
is the largest and leading center of higher education in the southern =
half of Georgia and is third in student enrollment among public =
universities, serving approximately 14,400 students. As a comprehensive, =
residential university, its mission is strongly centered on the =
education of undergraduate students. The University offers approximately =
130 degree programs at the baccalaureate, masters, and doctoral levels =
through six colleges. Founded in 1906, Georgia Southern became a =
regional university in 1990. The 634-acre campus is located in =
Statesboro, a community of approximately 30,000 residents, 50 miles =
northwest of historic Savannah and 200 miles southeast of Atlanta.

A completed application consists of a letter of application, curriculum =
vitae, an unofficial transcript of all graduate work, description of =
commitment to excellence in teaching, a brief description of planned =
scholarly activities, and three letters of reference. Send application =
materials to Dr. Patricia Humphrey, Mathematics Search Chair, Search =
Number 38985, Department of Mathematics and Computer Science, PO Box =
8093, Georgia Southern University, Statesboro GA 30460-8093, or e-mail =
inquiries to The FAX number is 912-681-0654. =
Screening of completed applications will begin December 1, 1999.

Georgia Southern is an Equal Opportunity, Affirmative Action =
Institution. Georgia is an Open Records state. Individuals who need =
reasonable accommodations under the Americans with Disabilities Act in =
order to participate in the application process should notify the search =


From: David Wall <>
Date: Wed, 20 Oct 1999 16:40:15 +1300
Subject: Postdoctoral Fellow at University of Canterbury

Postdoctoral Fellow in Applied Mathematics (fixed term)

Christchurch, New Zealand

Applications are invited from mathematical scientists for a University
of Canterbury postdoctoral position working in the the area of mathematical
modelling of cell-growth in plants and mammals. This will involve the use
of analytical and numerical solution of partial differential equation
models which describe the growth of cells which are simultaneously
undergoing division. The project leaders are Professors Graeme Wake
and David Wall of the Biomathematics Research Centre within the Department
of Mathematics and Statistics.

Candidates should be eligible for the award of their Ph.D., or have
gained their Ph.D. within the last three years, at the time of their
appointment which is expected to be no later than 31st March 2000. They
should have good academic credentials and have published in international
journals. The fellowship is tenable for two years.

Applications should include a curriculum vitae, a description of the
applicant's previous experience in applied mathematics and/or biomathematics
and their particular areas of interest. Please quote vacancy number MT78.

You are required to have three referees submit reports directly to the
Human Resources Registrar at Canterbury University (Private Bag 4800,
Christchurch, New Zealand) by the closing date specified. Referees should
specify telephone, fax and e-mail contact details. Information for
candidates on this position, and guidelines on how to apply, are
available at:

Further details are available from the Project Leaders:

Professor Graeme Wake, Tel 64 3 364-2682, Fax 64 3 364-2587,
Professor David Wall, Tel 64 3 364-2699, Fax 64 3 364-2587,

Reference number MT78, Closing Date 30th November 1999.


From: Oswald Knoth <>
Date: Wed, 20 Oct 1999 11:06:35 +0200
Subject: Research Position at Leipzig University

The Institute for Tropospheric Research in Leipzig offers a resarch
position in Applied Mathematics. The candidate has the opportunity to
attain a doctoral degree in Mathematics or Physics.

Aim of the project is the development of discretization methods for the
Stochastic Collection Equation in mass space and time. This
integro-differential equation is an essential part of the General Dynamics
Equation, which describes the dynamic of aerosols in the atmosphere. We
prefer a method of lines approach where we first discretize in the mass
space and than in time. We will emphasize on implicit time integration
methods with automatic step size selection and the efficient solution of
the arising linear systems. In a second phase known discretization methods
in the mass space described in different applied areas should be compared
from a mathematical point of view and possibly improved.

We are seeking candidates with a strong background in numerical analysis,
especially in time integration methods. A master or diploma in Applied
Mathematics or The oretical Physics is required.

The positions are open for three years.
The salary is regulated by the German BAT contract: 1/2 BAT-East IIa.

The position is available immediately.

Interested applicants should send their CV to:

Institute for Tropospheric Research
Prof. Dr. E. Renner
Permoserstrasse 15
04318 Leipzig



From: Roy Mathias <mathias@MATH.WM.EDU>
Date: Thu, 21 Oct 1999 08:56:31 -0400 (EDT)
Subject: Faculty Positions at the College of William & Mary

Two tenure track assistant professor positions beginning August 2000.
Demonstrated excellence in scholarship and teaching, and a Ph.D., are
required. We seek strong applicants in all parts of mathematics and for
one of the positions we especially welcome applicants in applied or
computational mathematics, including statistics. Candidates likely to
interact with Departmental colleagues are preferred
( Competitive compensation and start-up packages
are designed to attract the strongest candidates.
Visiting positions may also be available.

Submit application letter, AMS Standard Cover Sheet, CV, research
description, and three or more recommendation letters (at least one
concerning teaching) to: Search Committee, Mathematics Department, P.O.
Box 8795, William and Mary, Williamsburg, VA 23187-8795. Review begins
December 17 and continues until appointments are made. Department members
will meet with selected candidates at the Joint Mathematics Meetings in

The College is an EEO/AA employer.


From: Pam Fincher <>
Date: Thu, 21 Oct 1999 11:51:01 -0500
Subject: Faculty Position at Southern Methodist University

Southern Methodist University
Department of Mathematics

Applications are invited for one position at either the assistant professor
(tenure-track) or associate professor (tenured) level, to begin in the fall
semester of 2000. Applicants must provide evidence of outstanding research
and a strong commitment to teaching at all levels. The Department of
Mathematics has an active doctoral program in computational and applied
mathematics, specializing in physical applied mathematics, numerical
mathematics, and scientific computation. Preference will be given to
candidates whose research focuses on one of these areas.

To apply, send a letter of application with a curriculum vita, a list of
publications, and a research and a teaching statement to: The Faculty Search
Committee, Department of Mathematics, Southern Methodist University, P.O.
Box 750156, Dallas, Texas 75275-0156. Applicants must also arrange for three
letters of recommenda-tion to be forwarded to the Faculty Search Committee.

The committee will begin its review of the applications on or about January
3, 2000. To ensure full consideration for the position, the application
must be postmarked on or before January 3, 2000.

SMU will not discriminate on the basis of race, color, religion, national
origin, sex, age, disability or veteran status.


From: Homer Walker <walker@WPI.EDU>
Date: Thu, 21 Oct 1999 16:20:07 -0400 (EDT)
Subject: Faculty Positions at Worcester Polytechnic Institute


The WPI Mathematical Sciences Department invites applications
for two faculty positions to begin in the fall of 2000. An earned
Ph.D. or equivalent degree is required. Successful candidates must
be able to contribute strongly to both the department's research
activities and its innovative, project-based educational programs.

The first position will probably be at the assistant professor
level, but exceptionally well qualified candidates may be considered
for appointments at higher rank. Cryptography and applied discrete
mathematics are of particular interest. Other areas of interest
include, but are not limited to, operations research, optimization,
and financial mathematics.

The second position is not restricted in rank and is targeted for
a senior hire, although exceptional junior candidates will be
considered. The ideal candidate will have outstanding research
accomplishments or potential in computational mathematics,
high-performance and parallel computing, and applications, and
will be able to provide leadership in the strategic development of
these areas in the department and the university.

WPI is a private and highly selective technological university
with an enrollment of 2700 undergraduates and about 1000 full-
and part-time graduate students. Worcester, New England's second
largest city, offers ready access to the diverse cultural and
recreational resources of the region together with opportunities
for urban, suburban or rural lifestyles.

The Mathematical Sciences Department has 24 full-time faculty and
supports a PhD program and MS programs in applied mathematics and
applied statistics, as well as a full undergraduate program. For
additional information, see

Qualified applicants should send a detailed curriculum vitae, a brief
statement of their specific teaching and research objectives, and the
names of four references with mail/email addresses and telephone/fax
numbers to Search Committee, Mathematical Sciences Department, WPI,
100 Institute Road, Worcester, MA 01609-2280, USA.

Applicants will be considered on a continuing basis beginning January 1,
2000 until the positions are filled.

WPI offers a smoke-free environment. To enrich education through
diversity, WPI is an affirmative action, equal opportunity employer.


From: Muriel Vian <>
Date: Fri, 22 Oct 1999 10:12:06 +0200 (MET DST)
Subject: Faculty Position at Pole Universitaire Leonard de Vinci

Position of Assistant Professor in Applied Mathematics
(Scientific Computing)

DER (Departement Enseignement Recherche) Calcul Scientifique
Filiere Sciences et Technologie
Pole Universitaire Leonard de Vinci
Paris-La Defense

The Scientific Computing Department welcomes applications for a
professorship in applied mathematics with a specialization in Scientific
Computing at the Assistant Professor level. This position is to be filled
as soon as possible.

Candidates should meet the following requirements :

a) hold a PhD (or equivalent degree) in applied mathematics (numerical
analysis or scientific computing). A stay in a foreign laboratory would be

b) have an excellent practice of scientific computing, including all
implementation aspects,

They are expected to :

a) teach (mostly in French) in mathematics at various
undergraduate/graduate levels (bac + 0 to bac + 5),

b) perform research on the following topics (a prior experience in some of
these fields is essential) :

- development and analysis of efficient numerical methods for structural
- numerical simulation of smart materials
- adaptive structures

c) develop industrial collaborations.

Applications, including a detailed CV and a list of three referees (with
names, titles, surface and e-mail addresses, phone and fax numbers) should
be sent to :

DER Calcul Scientifique
Pole Universitaire Leonard de Vinci
92916 Paris la Defense Cedex - FRANCE
e-mail :
Web :

The Pole Universitaire Leonard de Vinci is a new private University located
in Paris La Defense. Faculty members teach and perform research activities
in fields such as Applied Mathematics, Mechanics, Computer Sciences,
Trading, Marketing and Management.


From: Maya Neytcheva <>
Date: Fri, 22 Oct 1999 18:17:57 +0200
Subject: Contents, Numerical Linear Algebra with Applications

Numerical Linear Algebra with Applications
Volume 6, Issue 4, 1999

Diagonal threshold techniques in robust multi-level
ILU preconditioners for general sparse linear systems
Y. Saad and J. Zhang (pp. 257-280)

Ritz and harmonic Ritz values and the convergence of
S. Goossens and D. Roose (pp. 281-293)

Generating equations approach for quadratic matrix equations
J. Stefanovski (pp.295-326)

Numerical Linear Algebra with Applications
Volume 6, Issue 5, 1999

On the convergence of basic iterative methods for Convection-
Diffusion equations
J. Bey and Arnold Reusken (pp. 329-352)

Iterative solver for the Oseen problem and numerical solution of
incompressible Navier-Stokes equations
M. A. Olshanskii (pp.353-378)

Efficient planewise-like preconditioners for solving 3D Problems
M. monga Made and B. Polman (pp.379-406)


From: Hans Schneider <>
Date: Sat, 23 Oct 1999 10:33:22 -0500 (CDT)
Subject: Contents, Linear Algebra and Its Applications

Journal: Linear Algebra and Its Applications
ISSN : 0024-3795
Volume : 298
Issue : 1-3
Date : 08-Nov-1999

pp 1-8
On exponent of indecomposability for primitive boolean matrices
B Liu

pp 9-20
On graphs with complete bipartite star complements
PS Jackson, P Rowlinson

pp 21-37
Infite eigenvalue assignment for singular systems
D Chu

pp 39-50
A matrix-decomposition theorem for GLn(K)
F Bunger, K Nielsen

pp 51-71
The covering number of elements of a matroid and associated
R Fernandes

pp 73-86
On syzygy modules for polynomial matrices

pp 87-97
Automorphisms of some Banach algebras of analytic functions
MR Alaimia

pp 99-113
A unified approach to Krylov subspace methods for the Drazin-inverse
solution of singular nonsymmetric linear systems
A Sidi

pp 115-141
On the algebraic theory of pseudo-distance-regularity around a set
MA Fiol

pp 143-158
Nearest pair with more nonconstant invariant factors. Pseudospectrum
JM Gracia

pp 159-169
OMC for householder reflections
SW Drury

pp 171-191
Column optimal strongly three-fold orthogonal matrices in a class
index eight
AS Hedayat, H Pesotan

pp 193-208
Littlewood's algorithm and quaternion matrices
DI Merino

pp 209-209
Author index


End of NA Digest