NA Digest Saturday, March 25, 2000 Volume 00 : Issue 13

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: Stephen Vavasis <vavasis@CS.Cornell.EDU>
Date: Thu, 23 Mar 2000 15:28:37 -0500
Subject: How to Create Isoparametric Elements

The most common technique for approximating curved geometry in the
finite element method is to use "isoparametric elements". Isoparametric
elements are explained in most finite element textbooks, e.g., Hughes;
Johnson; Zienkiewicz & Taylor.

But I do not know of a good algorithm to compute an isoparametric
interpolant to a curved geometry. Consider the following special case:
a tetrahedral element lies inside a sphere. Three of its vertices are
on the spherical surface and the fourth is interior. I would like a
procedure to curve this element so that its outer surface approximates
spherical geometry to a high order. A naive algorithm that interpolates
the surface using an evenly-spaced mesh of points produces oscillatory
results because of the "Runge" effect. Note that it is desirable not
only for the interpolant to lie close to the true surface, but also for
the normal to the interpolant to lie close to the normal to the true

I imagine that there must already be good published solutions to this

Steve Vavasis


From: Willi Schoenauer <>
Date: Fri, 24 Mar 2000 12:26:14 +0100
Subject: New Chapters in the Addendum to Scientific Supercomputing

New chapters in the ADDENDUM to Scientific Supercomputing

At first it should be recalled that the basic lecture SCIENTIFIC
SUPERCOMPUTING is now available typed and printed as booklet, see cover
page of the ADDENDUM. The knowledge of this lecture is needed for the
understanding of the following.

The ADDENDUM to Scientific Supercomputing

is an oper-ended supplement of additional short lectures on special
subjects. In the new Version 1.1 new chapters and sections on workstation
processors and SMP servers have been added. Above all we report on our
measurements of actual processors in 1999 and we make an interesting
comparison from the point of view of scientific computing that reveals
meciless the weaknesses of the processors (Chapter A10).

The following sections and chapters have been added:

A3.6 The MIPS R12000 Processor (300 MHz) in the Origin 2000.

A5.5 Measurements of the UltraSparc II, 400MHz in an Entreprise E4500 SMP
Server of SUN.

A6.4 The PA8500 Processor in the HP9000 V2500 Enterprise (Exemplar)

A6.5 The PA8500 Processor in the HP9000 N4000 Server.

A7.1 Measurements of the Pentium III Xeon Processor (500 MHz).

A8 The Alpha 21264 Processor in Compaq/DEC Servers.

A9 The IBM POWER3 Processor and the RS/6000 SPs with SMP Nodes for
Scientific Computing.

A10 A Comparison of Some Actual Workstation Processors of 1999 for
Scientific Computing: A Plead for Bandwidth.

Willi Schoenauer
Rechenzentrum der Universitaet Karlsruhe
D-76128 Karlsruhe, Germany
Tel: +49/721/608-6350
Fax: +49/721/32550


From: Michael Berry <>
Date: Sun, 19 Mar 2000 15:42:43 -0500
Subject: Computational Information Retrieval Workshop

Computational Information Retrieval Workshop
Sunday, October 22, 2000
Jane S. McKimmon Center, NC State University
Raleigh, NC
Organizer: Michael W. Berry, Tennessee

This is the second announcement of the first "Computational Information
Retrieval Workshop" (CIR00) to be held on Sunday, October 22,
2000 in Raleigh, NC. This workshop, which precedes the Seventh
SIAM Conference on Applied Linear Algebra (LA00), features talks
from applied mathematicians and computer scientists on the development
of algorithms, models, and software for information retrieval
and management. This workshop is co-sponsored by SIAM, National
Science Foundation, Boeing, and Telcordia Technologies, Inc.

One particular goal of this workshop is to present a taxonomy of current
algorithms used in IR systems and WWW-based search engines. In
addition to the distinguished invited speakers listed below, we encourage
all LA00 attendees to register for this important workshop which can
facilitate an open discussion on the future development of automated

Invited speakers for CIR00 now include

Inderjit Dhillon, Texas
Chris Ding, NERSC
Kyle Gallivan, Florida State
Liz Jessup, Colorado
Haesun Park, Minnesota
Bill Pottenger, Lehigh
Padma Raghavan, Tennessee
Axel Ruhe, Chalmers (Sweden)
Jason Wu, Boeing

with a special luncheon talk by Baruch Rumshisky, Northern Light.

The workshop will be held at the Jane S. McKimmon Center on the
campus of North Carolina State University (also the site of LA00)
on Sunday, October 22, 2000 from 8:00am to 5:00pm. In addition
to the invited talks there will be a "Contributed Talks" session
and a "Panel Discussion" in the afternoon. You may register
for the workshop at the CIR00 website

and provide a title/abstract of any contributed talk. Selected
contributed talks for CIR00 will be posted on the website and
the authors will be notified by email no later than August 1.
All submissions for contributed talks must be received by July
15 for full consideration. An edited volume of survey-based papers
based on the talks presented in this workshop is anticipated.

The early registration fee of $30.00 (covers all handouts, breakfast,
lunch, and breaks) should be sent in the form of cash or check
(payable to the "University of Tennessee") to:

CIR00 Workshop
Michael W. Berry, Organizer
Department of Computer Science
Ayres Hall 107
University of Tennessee
Knoxville, TN 37996-1301

The on-site registration fee (or after September 1) will be $35.00.
For further information about CIR00, please see the workshop website
( or contact Michael W. Berry via
email (, phone (865-974-3838), or fax (865-974-4404).


From: Ludmil Tomov Zikatanov <>
Date: Mon, 20 Mar 2000 00:52:33 -0500 (EST)
Subject: Summer School/Workshop on Multigrid Methods

Advanced Summer School/Workshop on Multigrid Methods

An advanced summer school/workshop on multigrid methods will be held
in the Center for Computational Mathematics and Applications at the
Pennsylvania State University during June 19-24, 2000. The principal
speakers/organizers will be Professors Achi Brandt and Jinchao Xu, and
several other active multigrid researchers will also participate. The
emphasis of the summer school is on the application of multigrid
methods to practical problems including Maxwell and Helmholtz
equations, Navier-Stokes equations and ab-initio quantum

More information can be found on the following URL address:


From: Soeren Bartels <>
Date: Tue, 21 Mar 2000 16:10:40 +0100
Subject: Vienna Summer School on Microstructures

First Announcement of Vienna Summer School on Microstructures
25.-29. September 2000 at the Technical University Vienna, Austria

The one-week course provides an introduction to the mathematics and
applications of microstructure with emphasis on computational and
practical issues. Lectures will be given on the finite element method
of multiwell problems in the calculus of variations, ferromagnetics, and
plasticity. Confirmed speakers are Michel Chipot (Zurich), Carsten
Carstensen (Kiel), Antonio DeSimone (Bari, Leipzig), Felix Otto (Bonn),
Michael Ortiz (Caltech). For more information and details on registration


From: John Butcher <>
Date: Thu, 23 Mar 2000 11:28:05 +1200 (NZST)
Subject: ANODE Workshop on Numerical ODEs

The next of the Auckland Numerical Ordinary Differential Equations
Workshops will be held in Auckland, New Zealand, during the week
8 - 12 January 2001. There will be a particular emphasis on software
issues and the invited speakers, each of whom will present a series of
lectures, will be

Wayne Enright
Francesca Mazzia
Gustaf Soederlind
Peter van der Houwen

Further information is available on the website

E-mail enquiries are welcome at

John Butcher
Robert Chan
Allison Heard
Nicolette Moir


From: Michela <>
Date: Fri, 24 Mar 2000 18:31:31 +0100 (MET)
Subject: Conference in Honor of Claude Brezinski

Preliminary announcement
International Conference on
dedicated to
on the occasion of his 60th birthday

Marrakesh, Morocco
October 1-5, 2001

We are intending to organize an international conference in October 2001
to celebrate the 60th birthday of Claude Brezinski and, at the same time,
the 10th anniversary of the journal Numerical Algorithms that he founded
in 1991 and where contributed papers will be published.
The themes of the conference will cover all aspects of Numerical Analysis,
in particular those which are related to numerical algorithms.
The goal of this conference is to bring together experts from these areas.
The numerical analysis community is warmly invited to attend so that we
have a valuable scientific meeting and celebrate Claude's 60th birthday
at the banquet.

Participants will be accomodated in a 4 stars hotel comparable to the best
European or American hotels at a special reduced price.
In Marrakesh, the weather is very nice in October and the town can be
easily reached by plane from Casablanca (one hour). Casablanca has direct
connections to major European cities and to New York and Montreal.

A web site containing all the informations about this conference can be
found at

If you are interested in participating, please notify us as soon as possible
at the address

In this way, you will regularly receive new updated informations about this

Organizing committee:

B. Beckermann (University of Lille I, France)
A. Bentbib (Faculty of Sciences and Technologies, Marrakesh, Morocco)
B. Germain-Bonne (University of Lille I, France)
J.-P. Chehab (University of Lille I, France)
M. El Alaoui-Talibi (Faculty of Sciences Semlalia, Marrakesh, Morocco)
A. Fdil (ENS, Marrakesh, Morocco)
A. Lembarki (Faculty of Sciences Semlalia, Marrakesh, Morocco)
M. Pr\'evost (University of Littoral, Calais, France)
A. Matos (University of Lille I, France)
A. Messaoudi (ENS, Rabat, Morocco)
M. Redivo-Zaglia (University of Calabria, Cosenza, Italy)
R. Sadaka (ENS, Rabat, Morocco)
H. Sadok (University of Littoral, Calais, France)
J. Van Iseghem (University of Lille I, France)


From: Erricos John Kontoghiorghes <>
Date: Sat, 25 Mar 2000 14:19:12 +0100
Subject: Workshop on Parallel Matrix Algorithms and Applications

18-20 August 2000, Neuchatel, Switzerland

Organized in co-operation with the Society for Industrial and Applied
Mathematics (SIAM) Activity Group on Linear Algebra (SIAGLA) and
endorsed by the International Linear Algebra Society (ILAS).

This international workshop is aims to be a forum for the exchange of
ideas and competence for specialists in those areas of parallel
computing that are based on matrix algorithms. Emphasis will be on:

1. Implementation and performance issues on various types of parallel

2. Parallel algorithms for dense, structured and sparse matrices.

3. Algorithmic engineering & complexity (matrix algorithms based on
parallel models of computation such as pram, systolic arrays, etc.)

4. Applications with emphasis on parallel matrix computations
(applications from diverse fields such as fluid dynamics,
econometrics and financial optimization).

The keynote speakers are

o Ahmed Sameh (Purdue University, USA): Parallel Algorithms for
Solving Indefinite Systems.

o Anna Nagurney (University of Massachusetts, USA): Parallel
Computation of Financial Equilibria as Variational Inequalities.

There will be two days of tutorials before the workshop. A small fee
will be charged for attendance at tutorials:

o Yousef Saad, University of Minnesota, USA
o Steve Barnard, NASA Ames Research Center, USA
o Maurice Clint, Queens University of Belfast, UK
o Marcin Paprzycki, University of Southern Mississippi, USA
o Anna Nagurney, University of Massachusetts, USA
o Berc Rustem, Imperial College, UK
o Stavros Siokos, Salomon Smith Barney, UK

International Program Committee:

S. Barnard (USA) C. Brezinski (France), M. Clint (UK), J. Dongarra
(USA), N. Emad (France), J. Erhel-Chaux (France), S. Gallopoulos
(Greece), M. Hegland (Australia), A. Kiper (Turkey), G. Megson (UK),
H. Park (USA), B. Philippe (France) Y. Saad (USA), A. Sameh (USA),
G.W. Stewart (USA), D. Trystram (France), M. Vajtersic (Slovakia),
P. Yalamov (Bulgaria), Z. Zlatev (Denmark).

Organizing committee:

E. Kontoghiorghes, University of Neuchatel (chair)
P. Arbenz, ETH Zurich
O. Besson, University of Neuchatel
M. Paprzycki, University of Southern Mississippi, Hattiesburg
P. Foschi, University of Neuchatel (local arrangements)

For further information please send a message at, contact a member of the organizing
committee or consult the WWW pages at:


From: Osman Yasar <>
Date: Mon, 20 Mar 2000 13:13:53 -0500
Subject: Faculty Position at State University of New York at Brockport

State University of New York, College at Brockport
Department of Computational Science

Announcement: Tenure-track Assistant Professor in Computational
Science, starting in Fall 2000. Ph.D. in Computational Science,
or a closely related discipline required. Candidates should have a
strong commitment to undergraduate and graduate education in
computational science. A strong background in computational tools,
scientific visualization, computer science, and applied mathematics
is desired. Promise of continued activity in computational research
and pursuit of external funding are required. Ability to interact
with local industries is also expected. Review of applications will
begin on April 17, 2000. Applications will continue to be accepted
until the position is filled. Send letter of application, resume,
transcript of the highest degree earned, and three letters of
recommendation to

Mr. Richard D. Meade
Faculty/Staff Recruitment Office
State University of New York,
College at Brockport
350 New Campus Drive, Rm 409 Allen
Brockport, NY 14420-2929

For more info, please contact:
Prof. Osman Yasar, Chair, Computational Science, tel: 716-395-2595


From: Gang Bao <>
Date: Sun, 19 Mar 2000 13:37:18 -0500 (EST)
Subject: Postdoctoral Position at Michigan State University

Michigan State University
Department of Mathematics

Applications are invited for one postdoc position funded in part by the
Office of Naval Research beginning in fall 2000. The postdoc will be working on
research problems in modeling and inverse problems in electromagnetics and optics.
The requirements include: PhD in appl math, strong background in
numerical/applied pde, and strong interests in mathematical modeling.
There might be some teaching involved.

Please e-mail your application to


From: Claire Poulin <poulin@CERCA.UMontreal.CA>
Date: Wed, 22 Mar 2000 11:24:03 -0500
Subject: Postdoctoral Position at CERCA, Montreal

POSTDOCTORAL FELLOWSHIP in the areas of geometric modelling and grid
generation for applications in computational fluid dynamics (CFD).

For more information;
CERCA - Montreal, Quebec, Canada

The incumbent will be part of a team including university professors,
research professionals and students involved in the elaboration and the
application of specialized software for grid generation. The incumbent's
work will be part of industry transfer activities principally aimed at
CERCA's industrial partners.

A good experience in structured and unstructured grid generation for
industrial configurations is essential. A good knowledge of C++ is required.

In accordance with Canadian immigration requirements, preference will be
given to permanent residents of Canada.

A working knowledge of French is a requirement.

Those interested should send their CV to:

Claire Poulin
Office Management Technician
5160 D=E9carie Blvd., Suite 400
Montr=E9al, Qu=E9bec H3X 2H9

Applications received before March 3, 2000 will be considered.


From: Bernard Beauzamy <>
Date: Tue, 21 Mar 2000 03:07:05 EST
Subject: Research Position at Societe de Calcul Mathematique, Paris

Job opening at Societe de Calcul Mathematique, Paris.
The SCM SA announces the opening of a research position ("ingenieur de
recherche") starting september 2000, in the domain of numerical models for
environmental studies (pollution, waste management). More specifically, the
question is to study the influence of uncertainty upon the input data on the
output values given by the model.

The candidate should have a good background in applied mathematics and/or
applied physics.

Salary will depend upon experience.

Application for postdoctoral positions (one or two years) may also be
considered. Please consult our web site : for
further information regarding our activities.

Please send a resume with photo and a letter of motivation to :
SCM SA, 111 Faubourg Saint Honore, 75008 Paris France.


From: Don Stark
Date: Tue, 21 Mar 2000 11:41:17 -0800 (PST)
Subject: Research Position at Naval Postgraduate School

The Naval Postgraduate school has the following position for a system
engineer/data analyst.

Institution/Company: Naval Postgraduate School
Department: Oceanography
Employer Type(s): Academic
Position Type(s): Research Associate
Subject Area(s): System Administration/Scientific Computing
Geographic Location of Position: Monterey, CA

Position Description:
Assist faculty research by providing computer support, conducting analysis and
visualization of large scientific data sets, and providing web-site support.
Duties include sharing the responsibility for hardware and software
maintenance on both UNIX and Macintosh environments; equipment purchasing; and
networking. Additional responsibilities include the pre and post processing
of model simulations; verifying results; running and summarizing analyses
and graphing data using standard graphics packages; producing publication
quality graphics, maintaining project web site.

Required Qualifications:
- Knowledge of UNIX operating operating systems.
- Familiarity with Macintosh systems and software.
- Ability to construct programs (e.g. Fortran, C, C++, Matlab, Maple, etc.)
for the analysis of large scientific data sets.
- Experience with visualization software (e.g. GMT, Ferret, IDL, Matlab, etc.).
- An interest in ocean modeling/geophysical fluid dynamics on synoptic to
climate scales.

Desirable Qualifications:
- Master's degree in a quantitative field (e.g. math, physics, oceanography,
meteorology, etc.).
- Course work in numerical analysis, mathematical statistics, linear algebra
are desired.
- Ability to maintain a web site.
- Experience with software like Powerpoint and Adobe Illustrator.

This full-time position is available to start by April 15, 2000. Review of
applications to start immediately. To apply send a cover letter and a CV with
references to Dept. of Oceanography, Attention Global Ocean Modeling Group,
Naval Postgraduate School, Monterey, CA 93943-5122 or email

NPS is an equal opportunity/affirmative action employer.


From: Barry Koren <>
Date: Wed, 22 Mar 2000 13:50:45 +0100 (MET)
Subject: Research Positions at TU Delft

The Departments of Aerodynamics and Engineering Mechanics of the Faculty of
Aerospace Engineering, Delft University of Technology, The Netherlands offer:


in the project
Computation of Fluid-Structure Interactions Applied to Wing Sections

Aim of this interdisciplinary project is the development and implementation
of numerical methods for accurate computation of the interactions between
flow and structure, e.g. wing sections. These interactions concern distortions
of the structure due to forces from the flow, and changes in the fluid flow
pattern due to the moving boundary of the structure. Within this project we
have two funded positions for PhD-students.

Focus of separate positions:
The first position concerns the application of Direct Numerical Simulation
(DNS) to Fluid-Structure Interactions. Main objective is the accurate
computation of transition and separation in flow involved in interactions with
the structure, by applying DNS in a smart way.
The second position concerns the numerical computation of the interactions
between the flow and the wing section. This involves coupling of the
equations for the flow and the structure in time, accurate time integration of
the system(s) of equations, movement of the grid, and space discretisation of
the equations on a moving grid.

The project is a joint project of the Engineering Mechanics group of
prof. R. de Borst and the Aerodynamics group of prof. P.G. Bakker.
Both PhD-students will be working in our Fluid-Structure Interaction team
consisting of three assistant professors. The PhD-students will be able to
participate in the training of the national research school for fluid dynamics:
the J.M Burgers Center.
The duration of both appointments is four years.

A masters or equivalent degree in Mathematics, Physics or Engineering with
a strong background in Computational Fluid Dynamics, Computational Structural
Mechanics or a related discipline is required.

Applications should be submitted to: R. de Borst,
Delft Aerospace Engineering,
Postbus 5058,
2600 GB Delft, The Netherlands.
For further information, please contact R. de Borst,
phone: +31 15 278 5460.


From: Oskar von Stryk <>
Date: Fri, 24 Mar 2000 12:13:16 +0100 (CET)
Subject: Research Position at Technische Universitaet Muenchen

The Munich University of Technology (Technische Universitaet, TUM)
offers a reseach position (BAT IIa or Ib) in a joint research project
of the Bavarian Consortium for High Performance Scientific Computing
(FORTWIHR) with industry on

Optimization and Modeling

for a challenging real world problem.

Candidates should hold a Master, Diplom or PhD in Applied Mathematics,
Computational Science or Engineering.
They should have demonstrated experience in the field,
have good programming skills (C, C++ or Fortran),
and experience working independently and as part of a team.
The successful candidate should also have demonstrated experience
communicating in a clear and concise manner in both oral and written form,
a demonstrated experience in the identification of complex problems and
solutions, and interest in real world applications.

The salary is according to the German BAT IIa or Ib rate
depending on the candidate's qualification. The position is
in a highly motivated, interdisciplinary research team.
Publication of results is highly encouraged.
Traveling costs to Munich will be covered as well as costs
for attending scientific conferences during the appointment.
Assistance in renting an appartment in Munich will be given.

Last but not least, Munich is a highly attractive city in central Europe
with very many cultural activities and also many historical sites.
The surroundings of Munich in upper Bavaria
exhibit very many cultural and natural highlights.

The position is to be filled as soon as possible.
The appointment will be until March 31, 2001.
The closing date for application is April 21, 2000.

To apply, send a curriculum vitae, names of references
(addresses, telephone, and email where applicable), and a statement
of relevant research and project experience and interests to:

Prof. Dr. Martin Brokate
Department of Mathematics
Technische Universitaet Muenchen
D-80290 Muenchen

TUM is an equal opportunity employer, with a commitment to workforce


From: Michelle Solomon <>
Date: Fri, 24 Mar 2000 15:50:13 -0500
Subject: Positions at SAIC, NASA Goddard

General Sciences Corporation, a subsidiary of Science Applications
International Corporation (SAIC), has these immediate openings:

Data Assimilation Office (DAO) at NASA Goddard Space Flight Center.
Successful candidate will work with leading NASA scientists in developing
data assimilation algorithms for the next generation
Physical-space/Finite-volume Data Assimilation System. Initial work will
involve system integration, configuration management, and development of I/O
subsystem. Requires M.S. or Ph.D. in Computer Science, Atmospheric Science
or related field and strong background in software engineering and
computational mathematics, including numerical linear algebra and
differential equations. Programming experience in Unix and Unix shell
scripting, Fortran 77/90 required (Perl, C, C++ desirable), with a minimum 3
years of experience developing large software systems. Experience in the
design and implementation of distributed memory applications using the
message-passing is highly desirable.

Assimilation Office (DAO) at NASA Goddard Space Flight Center. Successful
candidate will work with leading NASA scientists in developing data
assimilation algorithms for the next generation Physical-space/Finite-volume
Data Assimilation System. The work entails the design, implementation and
validation of a parallel application targeted for the newest generation of
supercomputers. The candidate will assume a high degree of responsibility
for all phases of the software life cycle. Requires M.S. or Ph.D. in
Computer Science, Software Engineering, Computational Mathematics or a
related field and a proven ability in distributed memory and shared memory
programming for production applications. The candidate should have at least
3 years of actual parallel programming experience. Experience in
Atmospheric Science is highly desirable.

SCIENTIFIC SOFTWARE ENGINEER -- GSC #544-NAD --- to support the Data
Assimilation Office at NASA Goddard Space Flight Center in the development
and implementation of a new finite-volume general circulation model for the
Goddard-EOS Data Assimilation System (GEOS DAS). Successful candidate should
be experienced in parallel computing on Shared as well as distributed Memory
computing platforms, and should have experience in large scale scientific
computing including parallel I/O and mass storage systems. Should be
familiar with software engineering principles, and must be proficient in F90
and the Unix operating system. Experience with atmospheric General
Circulation Modeling, numerical weather prediction, and/or data
assimilation, as well as numerical analysis and computational fluid dynamics
a plus. Requires MS (or BS with 4+ years experience) in computer science,
applied math, or meteorology/atmospheric sciences.

Qualified candidates should send their resume and GSC posting number to:
4600 Powder Mill Rd., Suite 400, Beltsville, MD 20705; Fax: (301)
931-3797; or E-Mail: Visit our website at An Affirmative Action Employer


From: Technical Group <>
Date: Tue, 21 Mar 2000 15:36:41 +0300 (MSK)
Subject: Contents, East-West Journal of Numerical Mathematics

Vol.8, No.1, 2000, pp.1-82


A fictitious domain approach for a class of Neumann boundary
value problems with applications in shape optimization
J. Haslinger and T. Kozubek

Mesh adaption for the Black and Scholes equations
O. Pironneau and F. Hecht

On the domain-dependence of convergence rate in a domain
decomposition method for the Stokes equations
N. Saito

Robust exponential convergence of the hp discontinuous Galerkin
FEM for convection-diffusion problems in one space dimension
T.P. Wihler and Ch. Schwab

Analysis of additive multilevel methods
X. Zhang


From: Hans Schneider <>
Date: Tue, 21 Mar 2000 20:35:37 -0600 (CST)
Subject: Contents, Linear Algebra and Its Applications

Journal: Linear Algebra and Its Applications
ISSN : 0024-3795
Volume : 307
Issue : 1-3
Date : 31-Mar-2000

pp 1-14
The positive definite completion problem relative to a subspace
CR Johnson, RL Smith

pp 15-33
The local exponent sets of primitive digraphs
MINO Zhengke

pp 35-46
Characteristic polynomials of graphs having a semifree action

pp 47-67
Some remarks on quasi-equivalence of bases in Frechet spaces
N Zobin

pp 69-75
A norm bound for projections with complex weights
EY Bobrovnikova, SA Vavasis

pp 77-87
On lattice property of group induced cone orderings
M Niezgoda

pp 89-101
Stable subnorms
M Goldberg

pp 103-117
On the ultimate behavior of the sequence of consecutive powers of a
matrix in the max-plus algebra
B De Schutter

pp 119-129
Strengthening the Gilbert-Varshamov bound
A Barg, J Simonis

pp 131-144
A matrix inequality and its statistical application
J Jiang

pp 145-150
Two-dimensional representations of the free group in two generators
over an arbitrary field
L Vaserstein

pp 151-165
Principal pivot transforms: properties and applications
M Tsatsomeros

pp 167-182
Linear matrix period in max-plus algebra
M Gavalec

pp 183-192
Free product Z_3 * Z_3 of rotations with rational entries
G Liu, LC Robertson

pp 195-195
Author index


End of NA Digest