NA Digest Saturday, May 29, 2004 Volume 04 : Issue 22

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

Submissions for NA Digest:

Mail to

Information via e-mail about NA-NET: Mail to


From: Jack Dongarra <>
Date: Fri, 28 May 2004 16:17:17 -0400
Subject: LAPACK and ScaLAPACK New Functionality Survey

LAPACK and ScaLAPACK new functionality survey

We plan to update the LAPACK and ScaLAPACK libraries and would like to have
feedback from users on what functionalities they think are missing and would
be needed in order to make these libraries more useful for the community. We
invite you to enter your suggestions in the form below. It would be most useful
to have input by June 16th, although we would welcome your input at any time.

Both LAPACK and ScaLAPACK provide well-tested, open source, reviewed code
implementing trusted algorithms that guarantee reliability, efficiency and
accuracy. Any new functionality must adhere to these standards and should
have a significant impact in order to justify the development costs. We are
also interested in suggestions regarding user interfaces, documentation,
language interfaces, target (parallel) architectures and other issues, again
provided the impact is large enough.

We already plan to include a variety of improved algorithms discovered over
the years by a number of researchers (e.g. faster or more accurate
eigenvalue and SVD algorithms, extra precise iterative refinement, recursive
blocking for some linear solvers, etc.). We also know of a variety of other
possible functions we could add (e.g. updating and downdating
factorizations), but are uncertain of their impact.

Please see for the survey.
We would like to have your input by June 16th, 2004.

Jack, Jim, and Sven


From: Richard Hanson <>
Date: Thu, 27 May 2004 15:01:50 -0500
Subject: Journals for Donation

In a move to new quarters, I find some journals that must be donated to
a party that agrees to pay the shipping costs. Contact me via e-mail at . The journals:

SIAM J. Numerical Analysis, Vols. 7 - 39 (Mostly complete)
SIAM J. Sci. Computing, Vols. 1-18 (Mostly complete)
Collected Algorithms from ACM (Paper copy) 1-448 (Mostly complete)

Richard J. Hanson
713 348 5304 or 713 725 0865


From: Stig Skelboe <>
Date: Sun, 23 May 2004 17:48:57 +0200
Subject: Vector Operations in C

In NA-Digest Jan 18, Vol 04, Issue 03, Gaston Gonnet reported some
surprising results under the subject of "Vector Operations in C",

Straightforward implementations of DAXPY and inner product had
observed execution time ratios of approximately 1:5. Sice the two
loops have the same number of FLOPS and 3 and 2 memory references,
respectively, they are expected to execute at almost equal speed,
mayby with the inner product being faster.

I gave the problem to an advanced computer architecture class as a
project, and they identified the behaviour to be due to the cache
access pattern of the test program used to generate the results, see

In brief, the test program is organized such that data for the SAXPY
can reside in the L1 cache most of the time while the inner product
requires all of the L2 cache - or more.

Besides the cache problem, a gcc compiler occationally implements
the inner product accumulation in a memory location in stead of in
a register. This way the inner product has 3 loads and 1 store per
loop and becomes inherently slower than the SAXPY.

Stig Skelboe
Department of Computer Science, University of Copenhagen (DIKU)


From: Jean-Baptiste Hiriart-Urruty <>
Date: Tue, 25 May 2004 09:53:01 +0200
Subject: Seeking Reference on Toeplitz Matrices

I am looking for a "Bible" (book or survey-paper) on real symmetric
Toeplitz matrices : eigenvalues of such matrices, explicit form (if any) of
the closest Toeplitz matrix of a given symmetric matrix, etc.

J.-B. HIRIART-URRUTY, Paul Sabatier University, Toulouse, France


From: Guido Kanschat <>
Date: Tue, 25 May 2004 18:46:47 +0200
Subject: Deal, Finite Element Library

After almost one year of development, version 5.0 of the deal.II
object-oriented finite element library has been released. It is
available from the deal.II home-page at

Version 5.0 is another major step for this library. The most important
change is the addition of interfaces to the PETSc library to provide a
second set of linear system support classes besides the original
deal.II ones. Via PETSc and an interface to METIS, parallel finite
element computations on clusters of computers have become as simple as
sequential ones. Through this, the library has proven to support
computations with more than 10 million unknowns.

In addition to this, the most noteworthy changes are:
- Two new example programs, demonstrating one-dimensional nonlinear
problems and parallel computations with PETSc
- The use of doxygen for the generation of our several-thousand pages
strong documentation, with significantly better cross-linking between
- Much better support for three-dimensional computations. Several
topological restrictions on unstructured 3d meshes have been lifted,
and a number of long-standing bugs have been fixed. We can now also
read in 3d meshes with several 100,000 cells in a few seconds
- Support for Raviart-Thomas elements in 2d and 3d.
- Support for more compilers and operating systems

A comprehensive list of new features and fixed bugs can be found at

All main features of the previous versions have been continued and
- Support for dimension-independent programming
- Extensive documentation and working example programs
- Locally refined grids
- A zoo of different finite elements
- Fast linear algebra
- Built-in support for symmetric multi-processing (SMP)
- Output for a variety of visualization platforms.

deal.II can be downloaded for free and is distributed under an Open
Source license.

Wolfgang Bangerth, Ralf Hartmann, Guido Kanschat, the deal.II team


From: Jesse Barlow <
Date: Fri, 28 May 2004 13:40:11 -0400 (EDT)
Subject: Householder Symposium XVI


The Householder Symposium on Numerical Linear Algebra will be held May 23-27, 2005
at the Seven Springs Mountain Resort in Champion, Pennsylvania, The resort is located about one hour (by car) southeast
of Pittsburgh. This meeting is the sixteenth in a series, previously called the
Gatlinburg Symposia. The name honors Alston S. Householder, one of the pioneers in
numerical linear algebra and organizer of the first four meetings. The meeting has
traditionally been held in an isolated location and is very informal in style.
Each attendee is given the opportunity to present a talk, but a talk is not
mandatory. The format of the meeting includes scheduled presentations during
the day and more informal evening sessions that are organized electronically
shortly before the meeting. Spirited discussion is encouraged.

At the meeting, the twelfth Householder prize will be awarded for the best thesis
in numerical algebra written since 1 January 2002. We hope that the meeting will be
attended by recent entrants into numerical linear algebra as well as more experienced
researchers. We encourage attendance by core numerical linear algebra researchers,
matrix theoreticians, and researchers in applications such as optimization, signal
processing, control, etc.

The Program Committee welcomes your contribution. The meeting facility holds only
125 people, however, so attendance may need to be limited. We are seeking funding
to provide financial assistance to recent PhDs and others who might need it. For
full consideration, the committee must receive your abstract by 1 November 2004.
Information concerning the application process may be found at the URL listed above.
Please use the format provided at the Conference Website

The committee expects to complete the list of attendees and scheduled presentations
by 7 January 2005.

After reading the files in the Conference Website, if you have any questions
about local arrangements, please contact the local arrangements committee at

Local Arrangements Committee:
Jesse Barlow (Penn State University)
Hongyuan Zha (Penn State University)
Daniel Szyld (Temple University )

Other questions can be directed to

The Program Committee consists of
Angelika Bunse-Gerstner (Bremen)
Tony Chan (UCLA)
Alan Edelman (MIT)
Nick Higham (University of Manchester)
Roy Mathias (College of William and Mary)
Dianne O'Leary (University of Maryland)
Michael Overton (New York University)
Henk van der Vorst (Utrecht)
Paul Van Dooren (Louvain-la-Neuve)
Charles Van Loan (Chair, Cornell University)


From: Jesse Barlow <
Date: Fri, 28 May 2004 13:40:11 -0400 (EDT)
Subject: Householder Award


Nominations are solicited for the Alston S. Householder Award XII
(2005). The award will be presented to the author of the best
dissertation in numerical algebra submitted by the recipient of a
PhD earned between January 1, 2001, and December 31, 2004.
The term numerical algebra is intended to describe those parts of
mathematical research that have both algebraic aspects and numerical
content or implications. Thus, for example, the term covers linear
algebra that has numerical applications and the algebraic aspects of
ordinary differential, partial differential, integral, and nonlinear
equations. To qualify, the dissertation must have been submitted to
fulfill requirements for a degree at the level of a United States
Ph.D. Candidates from countries in which a formal dissertation is not
normally written at that level may submit an equivalent piece of work.
The Householder Award, given every three years, was established at the
1969 Gatlinburg Symposium (now renamed the Householder Symposium) to
recognize the outstanding contributions of Alston S. Householder,
1904--1993, to numerical analysis and linear algebra.
Entries will be assessed by an international committee consisting of

James Demmel (University of California, Berkeley),
Sabine Van Huffel (K.U. Leuven),
Volker Mehrmann (TU Berlin)
Charles Van Loan (Cornell University)
Olof Widlund (Courant Institute, New York University).

The candidate's sponsor (the supervisor of the candidate's research)
should submit five copies of the dissertation (or qualifying work),
together with an appraisal by the sponsor and at least one additional
letter of recommendation supporting the nomination, by February 1, 2005, to

Professor Olof Widlund
Courant Institute
251 Mercer Street
New York, New York 10012

The award will be presented at the Householder Symposium XVI, to be
held May 23-27, 2005 at the Seven Springs Mountain Resort
in Champion, Pennsylvania. See

Candidates on the short list will receive invitations to the meeting.
Previous Householder Award winners were
F. Robert (Grenoble) in 1971
Ole Hald (New York University) in 1974
Daniel D. Warner (University of California, San Diego) in 1977
E. Marques de Sa' (Coimbra) and
Paul Van Dooren (K. U. Leuven) in 1981 (shared)
Ralph Byers (Cornell University) and
James M. Demmel (University of California, Berkeley) in 1984 (shared)
Nicholas J. Higham (University of Manchester) in 1987
Alan Edelman (Massachusetts Institute of Technology) and
Maria Beth Ong (University of Washington) in 1990 (shared),
Hong-Guo Xu (Fudan University) and
Barry Smith (New York University) in 1993 (shared),
Ming Gu (Yale University) in 1996
Jorg Liesen (Bielefeld) in 1999
Jing-Rebecca Li (Massachusetts Institute of Technology) in 2002.


From: Francesc Arandiga <>
Date: Tue, 25 May 2004 10:08:27 +0200 (METDST)
Subject: Summer School at ETH on Multiscale Geometric Data Representation

International Summer School on
''Multiscale geometric data representation - Complexity, Analysis and Applications''

Location : ETH-Zurich,Switzerland
Period : August 30 to September 3, 2004
Organizers : Albert Cohen and Christoph Schwab, IHP Network ''Breaking Complexity''

Information and Registration :

Topics and Lecturers :
- Anisotropic Triangulations : Armin Iske (Technische Universitat, Munich)
- Bandlets : Stephane Mallat and Erwan LePennec (Ecole Polytechnique
and Let It Wave, Palaiseau)
- Contourlets : Martin Vetterli (EPFL, Lausanne) and Minh Do (University
of Illinois, Urbana Champaign)
- Curvelets : Emmanuel Candes (Caltech, Pasadena)
- Edge-Adapted mutliresolution : Paco Arandiga (Universitat Valencia)
and Albert Cohen (Universit

<Message truncated by nonstandard character.>


From: Ognyan Kounchev <>
Date: Tue, 25 May 2004 17:38:03 +0200
Subject: Conference in Bulgaria n PDE Methods and Image Processing

September 7-10, 2004
Sunny Beach (near Burgas), Bulgaria
with the sponsorship of the Alexander von Humboldt Foundation, Bonn

Dear colleagues,

we are pleased to announce the
IMAGE PROCESSING", September 7-10, 2004, Sunny Beach, Bulgaria

The conference will be held at the famous resort of Sunny beach, Bulgaria, see
more info at the homepage of the conference.


From: Dugald Duncan <>
Date: Thu, 27 May 2004 17:04:39 +0100 (BST)
Subject: Conference at Strathclyde Honouring David Sloan

Two Day Meeting on the Numerical Analysis of Differential Equations
September 9-10, 2004
University of Strathclyde, Glasgow, UK

This meeting, which incorporates the 13th Scottish Computational
Mathematics Symposium, will mark the retirement of Professor David Sloan.
The meeting is open to everyone interested.

Please book accommodation by 2nd June.
To do this contact or fill in the registration
form on the web page below.

Invited Speakers:
Mark Ainsworth (Strathclyde) Bengt Fornberg (Colorado)
David Griffiths (Dundee) Weizhang Huang (Kansas)
Arieh Iserles (Cambridge) Bill Morton (Bath)
Bob Russell (Simon Fraser) Bill Sloan (Glasgow)
Alastair Spence (Bath) Endre Suli (Oxford)
Andrew Stuart (Warwick) Nick Trefethen (Oxford)

Supported by EPSRC, ICIAM '99 Fund, EMS, LMS and Glasgow Mathematical Journal Trust.
Organised by Stuart Bramley, Dugald Duncan and Des Higham.

A small registration fee covers coffee/tea/lunch.
More details are available at


From: Zhangxin Chen <>
Date: Thu, 27 May 2004 16:10:00 -0500
Subject: Two Conferences in China

Second Announcement and Call for Papers
High Performance Computing and Applications (HPCA 2004)
August 8--10, 2004
Shanghai University, Shanghai, China

* China Computer Federation
* Institute of Applied Physics and Computational Math, Beijing
* National Natural Science Foundation of China
* Shanghai Computer Society
* Shanghai University
* Shanghai Jiaotong University
* Shanghai Supercomputer Center
* Sybase China
* Xi'an Jiaotong University

Call for Papers:
Participants wishing to organize a minisymposium or present a paper
in a field related to the conference themes are invited to submit
a one-page abstract in English to by June 15,
2004. Please include the address, telephone, fax, and e-mail
address of the primary contact person.

Conference Proceedings:
Proceedings of presented and refereed papers will be published
with Springer-Verlag in the Lecture Notes in Computational Science
and Engineering series.

International Conference on
Scientific Computing in Petroleum Industry
August 4--7, 2004
Beijing, P.R. China

* China National Offshore Oil Corp. (CNOOC)
* Institute of Software, Chinese Academy of Science (CAS)
* Science and Technology Cooperation Office, CAS
* The Major Basic Project of China

Call for Papers:
Participants wishing to present a paper in a field related
to the conference themes are invited to submit a one-page
abstract in English to by June 15, 2004.
Please include the address, telephone, fax, and e-mail address of
of the primary contact person. The abstract can be submitted
online through the Conference website.


From: Liangke <>
Date: Fri, 28 May 2004 23:49:56 +0800
Subject: Symposium in Nankai on Scientific Computing

2004 Nankai Scientific Computing Symposium
Nankai University, China
August 24-26, 2004

Contact: Jane Ma (

The Nankai Scientific Computing Symposium for 2004 (NKSC-04) will be held at
Nankai University ( on August 23-26, 2004, as one of the
Nankai centennial events. The main theme of the symposium is to explore the
frontiers of applying supercomputing to life and physical sciences and
engineering. Topics include, but not limited to, supercomputer hardware,
software, and algorithm designs; molecular dynamics, computational physics,
computational chemistry, structural biology and bioinformatics. The
Symposium is organized by the Nankai Institute of Scientific Computing
( <> ) with sponsorship from the
University, IBM, and Intel, as well as the Tianjin City agencies.

The following is a list of confirmed invited speakers as of May 2004. This
announcement is made to invite contributed speakers and other participants.

Guoliang Chen
Steve Chen
James Davenport
Yuefan Deng
Jack Dongarra
Da Hsuan Feng
Alan Gara
Molin Ge
Bolin Hao
Xiantu He
Grafton W H Hui
David Keyes
Zhengming Li
Shigemi Ohta
Shiyi Shen
Horst D.Simon
Jiachang Sun
C J Tan
Zhenghui Xie
Osman Yasar
Chunting Zhang
Linbo Zhang
Jie Zheng
Wenjun Zhuang


From: Gerhard Zumbusch <>
Date: Thu, 27 May 2004 09:58:27 +0200
Subject: Faculty Position at University of Jena

Professor (C3), Univ Jena
Open position "Professor (C3) for Algebra / Number Theory"

The Faculty of Mathematics and Computer Science of the University of
Jena, Germany, seeks for a Professor for Algebra / Number Theory at the
rank Professor (C3) at the Mathematical Institute. Candidates should have
Computational Algebra, Computational Number Theory, Coding Theory or Cryptography
as their main research subject.

Candidates must be prepared to lecture in German. The professorship is
responsible for the education in Mathematics, Business-Mathematics and
Computer Science and in Mathematics for other factulties.

The University of Jena would like to establish a higher quota of female
professors. Applications from women are therefore particularly encouraged.
Disabled applicants with identical skills and experience will be given
preferential treatment.

Applications should be directed to the Dean of the faculty
Mathematik und Informatik, Ernst-Abbe-Platz 1-2, 07743 Jena, Germany, until

June 30, 2004

and should include a statement describing the suitability of the
applicant for the announced position, curriculum vitae, copies of
degrees, a list of publications and preprints.


From: Wolfgang Brueggemann <>
Date: Mon, 24 May 2004 10:27:23 +0000
Subject: Faculty Positions at the University of Birhingham

Senior Lecturer/Lecturer in Management Mathematics (2 Posts)

Applications are invited from candidates with research focus on the mathematical
and computational aspects of any areas of OR/MS, though other quantitative
OR-related areas are welcome. Strong commitment to research and enthusiasm for
supervising BSc and MSc projects as well as PhD students is required.

Informal enquiries can be made to Dr S Salhi of the School of Mathematics and
Statistics e-mail: or telephone: 0121 414 6602 or Professor
G Robinson, Head of School of Mathematics and Statistics e-mail:

Senior Lectureship - Reference S36722 (1 Post)
Starting salary on scale GBP 36,464 - GBP 41,333 a year depending on experience
and qualifications.

Lectureship - Reference S36725 (1 Post)
Starting salary on scale GBP 22,954 - GBP 34,838 a year depending on experience
and qualifications.

A GBP 9,000 "Golden Hello" supplement may be available, funded by HEFCE, if the
successful candidate satisfies the required criteria. Both posts are available
from 1 September 2004.

Application forms (returnable by 11 June 2004) and details from Personnel
Services, The University of Birmingham, Edgbaston, Birmingham B15 2TT. Tel:
0121 415 9000, web: Please quote the
relevant reference.

Working towards equal opportunities


From: Biros <>
Date: Mon, 24 May 2004 19:37:25 -0400 (Eastern Standard Time)
Subject: Postdoctoral Position at the University of Pennsylvania

A postdoctoral position is available on fast solvers for soft-tissue
simulations. The research focus will be on the development and
implementation of novel algorithmic approaches that enable rapid
simulation of finite deformation materials involving dynamic
interfaces and, possibly, viscoelastic effects. The solvers will be
integrated with existing simulation systems that support research on
medical imaging and medical robotics.

The postdoctoral researcher will have excellent collaborative
opportunities with a diverse group of researchers from computational
mechanics, image modeling and analysis, and robotics backgrounds from
UPenn and Johns Hopkins University. The position is open for an
initial duration of 12 months, starting July 2004, and it will be
renewable pending funding.

The ideal candidate would have a strong background in numerical
algorithms for nonlinear elliptic partial differential equations and a
strong experience in scientific computing. Extensive programming
expertise in C++ is necessary. While not required, familiarity with
the PETSc software package ( is desirable.

Applicants are expected to have completed their doctorate during the
20003-2004 academic year, or within the past two years.

Interested applicants should send a curriculum vitae, statement of
research interests and list of two referees to


From: Jack Dongarra <>
Date: Mon, 24 May 2004 21:29:25 -0400
Subject: Staff Position at the U of Tennessee

Heterogeneous Distributed Computing

The Innovative Computing Laboratory (ICL) at the University of Tennessee has
a position open for researchers at the Masters or PostDoc level to work on
our Heterogeneous Distributed Computing Projects. We are continuing our work
on FT-MPI, Harness, and OpenMPI. These exciting projects, which have
attracted a variety of international research partners, is leading the
technology in programming tools and problem solving environments for grid,
parallel and distributed systems. Experience with Globus, message passing
system internals, network programming, C, C++, Fortran and Java are

The primary duties of this position include research, development, and
software support for the distributed computing effort. The technical areas
involved span grid computing, extensible operating systems, distributed
computing, client-server systems, user interfaces, and run-time systems.
Proven expertise is required in at least two of the above areas, with
significant experience developing large software systems a significant plus.

Degree requirements: Ph.D. in Computer Sciences or related area with
demonstrable background in high performance computing. or M.S. in Computer
Sciences and 3-5 years relevant research or work experience.

Additional benefits of the position include a competitive salary, travel
opportunities, access to state-of-the-art computational facilities
(including both parallel architectures and high-performance workstations),
and collaborative research opportunities in a very active research program
in advanced scientific computing.

Salary: $50,000 - $65,000/year, depending on experience.

Inquiries should be directed to:


From: Ronald Stoever <>
Date: Fri, 28 May 2004 08:16:05 +0200
Subject: PhD Scholarships at University of Bremen

The University of Bremen (Germany) announces an international and
interdisciplinary post-graduate program on

Scientific Computing in Engineering

beginning at October 1st, 2004, which is offering 8 scholarships
for PhD students (1024,- Euro/month, tax free) for three years.

Focus of this research program is the development and introduction
of new innovative methods in scientific computing to the fields of
materials science, process technologies and micro electronics.
Utilizing mathematical modelling and numerical simulation, problems
will be tackled that cannot be solved by classical engineering methods
alone. This research program is strongly coupled with a lecture
program in engineering and applied mathematics that aims at a profound
education for a career in science as well as in industry.

The requested profile of the candidates is:
* Master, Diploma or equivalent degree in engineering, applied
mathematics or physics, with grades significantly above average,
* experience in modelling, simulation and scientific computing,
* younger than 28 years,
* very good knowledge of English.

Further information on research projects, participating institutes
and the application procedure can be found at:
The deadline for applications is July 1st, 2004.


From: Paul Van Dooren <>
Date: Fri, 28 May 2004 16:51:43 +0200
Subject: PhD Position at the Universite Catholique de Louvain

Vacant PhD Position

in the Department of Mathematical Engineering of
the Universite Catholique de Louvain (UCL), Belgium

Applications are invited for a PhD position in applied mathematics
at the Catholic University of Louvain-la-Neuve. The candidate will
work on a research project funded by UCL on the topic of

Algorithmic Challenges in Large Networks

The ambition of this research proposal is to look at some of the
most recent and fundamental computational challenges raised by large
networks. It will address questions related to modelling, classification,
visualization, optimization and analysis of large networks, and will
include theoretical and practical aspects of topics such as data-mining,
web-searching, analysis of telephone, traffic and electricity networks,
hierarchical reduction of large scale networks, and analysis of
dynamical properties of large networks.

The project starts in fall 2004 and is headed by professors Vincent
Blondel, Yurii Nesterov and Paul Van Dooren from the Department of
Mathematical Engineering at the Universite Catholique de Louvain.

Applicants should write (possibly by e-mail) before June 30th 2004 to:

Paul Van Dooren, Department of Mathematical Engineering,
4 Av. G. Lemaitre, B-1348 Louvain-la-Neuve, BELGIUM
Tel: +32-10478040


The candidate will work towards a PhD in Engineering and should therefore
have the qualifications to enroll in such a programme: he/she should have
(by September 2004) a university degree in engineering, in computer science
or in mathematics or a degree that can be considered equivalent to it.
Possible expertise in the topics described in the project are welcome.


You should send a detailed CV, including a concise description of your
education in applied mathematics. You should also provide names of at
least two persons that might be contacted for references (please provide
their full address including e-mail and telephone).


More information on the department and the promotors of the project can be
found from


From: L. Rebollo-Neira <>
Date: Wed, 26 May 2004 16:42:50 +0100
Subject: PhD Studenships at Aston University


at Aston University, Birmingham, UK, is inviting applications to a number of
PhD studentships across its research areas.

Full Studentships are open to EU students.Partial support for overseas
students is also possible.

In particular, graduated or about to graduate students in mathematics,
theoretical physics or related disciplines,
who could be interested in pursuing a
PhD in mathematical aspects of signal processing,
involving numerical analysis and time-frequency / time scale-techniques,
are welcome to contact

Laura Rebollo-Neira

for further details on the proposed projects in
the area.

Alternatively, a list of different project areas can be found at:

For further information on any of those projects please contact

Vicky Bond


From: Science Direct <>
Date: Tue, 25 May 2004 06:10:52 -0400 (EDT)
Subject: Contents, Linear Algebra and its Applications

Linear Algebra and its Applications Volume 384, Pages 1-243 (1 June 2004)

The common invariant subspace problem: an approach via Grobner bases, Pages 1-7
Donu Arapura and Chris Peterson

Bicircular projections on some matrix and operator spaces, Pages 9-20
L. L. Stacho and B. Zalar

Stieltjes continued fraction and QD algorithm: scalar, vector, and matrix cases,
Pages 21-42
Jeannette Van Iseghem

A system of matrix equations and a linear matrix equation over arbitrary regular
rings with identity, Pages 43-54
Qing-Wen Wang

On the graded identities and cocharacters of the algebra of 3 x 3 matrices,
Pages 55-75
Daniela La Mattina

Tridiagonal normal forms for orthogonal similarity classes of symmetric matrices,
Pages 77-84
Dragomir . okovi and Kaiming Zhao

Inertia sets of two classes of symmetric sign patterns, Pages 85-95
Yanling Shao, Liang Sun and Yubin Gao

Linear preservers of rank permutability, Pages 97-108
Anna A. Alieva and Alexander E. Guterman

Probabilistic analysis of complex Gaussian elimination without pivoting, Pages 109-134
Man-Chung Yeung

-solutions to linear systems over , Pages 135-154
Pilar Pison-Casares and Alberto Vigneron-Tenorio

Sharp lower bounds on the Laplacian eigenvalues of trees, Pages 155-169
Kinkar Ch. Das

Elasticities of Krull domains with finite divisor class group, Pages 171-185
K. Kattchee

Quadratic Gauss sums on matrices, Pages 187-198
Mitsuru Kuroda

Complementary basic matrices, Pages 199-206
Miroslav Fiedler

On formal solutions to matrix version of a reduced Kac-van Moerbeke equation,
Pages 207-214
David Bradshow and Alexander Tovbis

Darboux transformation and perturbation of linear functionals, Pages 215-242
M. I. Bueno and F. Marcellan


End of NA Digest