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

- Matrices with Orthonormal Columns
- Mondriaan 1.0, Sparse Matrix Partitioning Package
- New Book, Fundamentals of Matrix Computations
- Worshop in Oxford on Numerical Linear Algebra
- Conference in Singapore on Scientific and Engineering Computation
- Masters Course in Complex Fluids at Aberystwyth
- PhD Position at National University of Ireland
- Contents, Acta Numerica 11
- Contents, Linear Algebra and its Applications
- Subscribe, unsubscripe, change address, or for na-digest archives:
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-------------------------------------------------------

From: Dirk Laurie <dpl@sun.ac.za>

Date: Fri, 17 May 2002 10:53:26 +0200

**Subject: Matrices with Orthonormal Columns**

There is as yet no generally accepted term for a (rectangular) matrix

with orthonormal columns. Some authors use "orthonormal matrix" but

that should have been the term for an orthogonal matrix.

I propose that we call it a "left-orthogonal" matrix, and a matrix with

orthonormal rows a "right-orthogonal" matrix.

Reasoning:

Q is orthogonal if and only if Q' is the inverse of Q: Q'Q = QQ' = I.

Q is left-orthogonal if and only if Q' is a left-inverse of Q: Q'Q = I.

Q is right-orthogonal if and only if Q' is a right-inverse of Q: QQ' = I.

Dirk Laurie

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

From: Rob Bisseling <Rob.Bisseling@math.uu.nl>

Date: Fri, 10 May 2002 20:09:10 +0200 (CEST)

**Subject: Mondriaan 1.0, Sparse Matrix Partitioning Package**

Mondriaan 1.0: Sparse matrix partitioning package

We would like to announce the availability of version 1.0 of the

Mondriaan package. Mondriaan is a two-dimensional, multilevel,

hypergraph-based package for the partitioning of a rectangular

sparse matrix, as a sequential preprocessing step for parallel

sparse matrix-vector multiplication.

The package and an accompanying paper by Brendan Vastenhouw and

Rob Bisseling can be obtained from:

http://www.math.uu.nl/people/bisseling/Mondriaan/mondriaan.html

Mondriaan is written in C. It is distributed under the GNU license.

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

From: David Watkins <watkins@math.wsu.edu>

Date: Thu, 16 May 2002 15:01:51 -0700

**Subject: New Book, Fundamentals of Matrix Computations**

FUNDAMENTALS OF MATRIX COMPUTATIONS, Second Edition

David S. Watkins

Dear NA Digest Readers,

Two months ago I gave you advance notice of the publication of the

second edition of my book "Fundamentals of Matrix Computations."

Now I am pleased to announce that the book is in print and available

for purchase from John Wiley and Sons at

http://www.wiley.com/cda/product/0,,0471213942,00.html.

For more information, visit my website

http://www.sci.wsu.edu/math/faculty/watkins/,

from which you can download the frontmatter, including the table of

contents, in pdf format.

I tried really hard to write a perfect book, but of course I fell

short of that goal. An errata sheet is posted at my website.

If you teach matrix computations at either the graduate or

undergraduate level, or if you are just looking for another

good reference, please take a close look at this book.

with best wishes,

David Watkins

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

From: Andy Wathen <wathen@comlab.ox.ac.uk>

Date: Fri, 17 May 2002 15:05:42 +0100 (BST)

**Subject: Worshop in Oxford on Numerical Linear Algebra **

There will be a one day Numerical Linear Algebra Workshop held at

the Oxford University Computing Laboratory on Wednesday 26th June, 2002.

the speakers will be Michael Overton, Alastair Spence, Zhaojun Bai,

Daniel Loghin, Gareth Shaw and Nick Trefethen.

All are welcome: there is no registration fee. The program can be found at

http://web.comlab.ox.ac.uk/oucl/work/andy.wathen/nla2002.html

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

From: Raymond <raymond@ihpc.nus.edu.sg>

Date: Fri, 17 May 2002 10:24:42 +0800

**Subject: Conference in Singapore on Scientific and Engineering Computation**

The Institute of High Performance Computing will be jointly organising

the International Conference on Scientific and Engineering Computation

(IC-SEC 2002) with the Faculty of Engineering, Faculty of Science and

Institute for Mathematical Sciences of the National University of

Singapore from 3 to 5 December 2002. The conference is also organised in

co-operation with the Society for Industrial and Applied Mathematics

(SIAM), Theoretical and Applied Mechanics Society - Singapore (SingTAM),

Australian and New Zealand Industrial and Applied Mathematics (ANZIAM),

and the Centre for Development of Advanced Computing (CDAC).

IC-SEC 2002 aims to create a forum for engineers and scientists who are

involved in the use of high performance computers, advanced numerical

strategies, computational methods and simulation in various scientific

and engineering disciplines. The conference also offers participants a

platform to present and discuss latest trends and findings or simply to

learn about the state-of-the-art in their particular field(s) of

interest.

Conference Topics and Application Areas

MEMS Modelling & Simulation

Computational Acoustics

Computational Fluid Dynamics

Computational Solid and Structural Mechanics

Computational Electromagnetics

Computational Electronics

Computational Chemistry

Computational Materials Science

Computational Nano-Science

Defence Modelling & Simulation

Grid Computing & Applications

Scientific Visualisation

Fast Algorithms

Parallel & Distributed Computing

Contact Details

Institute of High Performance Computing

c/o SparkPlanners Pte Ltd

122 Middle Road

#06-04 Midlink Plaza

Singapore 188973

Tel: (65) 6338 2321

Fax: (65) 6339 1372

Website: http://www.ihpc.nus.edu.sg

Contact: Ms. Jean Goh

Contact email: ic-sec@ihpc.nus.edu.sg

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

From: T. N. Phillips <tnp@aber.ac.uk>

Date: Fri, 17 May 2002 11:35:56 +0100

**Subject: Masters Course in Complex Fluids at Aberystwyth**

M.Sc. in Mathematics

Complex Fluids: Modelling, Simulation and Industrial Applications

The Department of Mathematics at the University of Wales Aberystwyth

has received funding from the EPSRC for a new Masters level course

in Complex Fluids. The Applied Mathematics Group has an international

reputation in the study of complex fluids and enjoys strong links with

industrial companies. There are several studentships available.

Informal enquiries may be made to the Departmental Postgraduate

Admissions Officer, Dr. V. C. Mavron (vcm@aber.ac.uk, 01970 622766)

or the Course Director, Professor T. N. Phillips (tnp@aber.ac.uk,

01970 622769).

An understanding of the properties and behaviour of complex fluids

is a necessary prerequisite for many industrial processes such as

injection moulding, blow moulding, extrusion, coating and fibre spinning

in the polymer industry, and many similar processes in the food industry

that are used in producing a wide range of processed foods. There are

also applications of complex fluids in the oil industry where an

understanding of the rheological behaviour of fluids is important in

drilling, enhanced oil recovery and in lubrication processes.

Add to these the detergent industry, the pharmaceutical industry

and a growing interest in medicine (for example, the properties

of blood flow in the human body), and one can see that rheology

impinges very significantly on numerous aspects of modern life.

The study of complex fluids is an interdisciplinary research field

which calls upon engineering, physical chemistry, physics and mathematics.

The study of complex fluids is important in many applications in science

and engineering especially with the plethora of new materials and products

being designed, produced and processed today.

Professor T.N. Phillips

Department of Mathematics,

University of Wales,

Aberystwyth,

SY23 3BZ,

U.K.

E-mail: tnp@aber.ac.uk

Phone : +44 1970 622769

FAX : +44 1970 622777

WWW: http://www.aber.ac.uk/~tnp

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

From: Martin Stynes <m.stynes@ucc.ie>

Date: Tue, 14 May 2002 10:02:49 +0100

**Subject: PhD Position at National University of Ireland**

Funded PhD position in Differential Equations / Numerical Analysis

The Department of Mathematics at the National University of

Ireland, Cork, has vacant a PhD position, funded for three years

from September 2002. The project will investigate a priori bounds

for convection-diffusion problems and the numerical solution of

these problems. Full information is at

http://euclid.ucc.ie/pages/staff/stynes/stynesm/FundedPhDPosition.htm

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

From: Arieh Iserles <A.Iserles@damtp.cam.ac.uk>

Date: Sat, 18 May 2002 12:18:37 +0100 (BST)

**Subject: Contents, Acta Numerica 11**

Contents of Acta Numerica 11 (2002):

Moody T. Chu & Gene H. Golub, "Structured inverse eigenvalue

problems" .................................................... 1--71

Nira Dyn & David Levin, "Subdivision schemes in geometric

modelling" .................................................. 73-144

Michael B. Giles & Endre Suli, "Adjoint methods for PDEs: a

posteriori error analysis and postprocessing by duality" ... 145-236

Ralf Hiptmair, "Finite elements in computational

electromagnetism" .......................................... 237-339

Robert I. McLachlan & G.R.W. Quispel, "Splitting methods" ..... 341-434

Konstantin Mischaikow, "Topological techniques for efficient

rigourous computations in dynamics" ........................ 435-477

Charles S. Peskin, "The immersed boundary method" ............. 479-517

Danny C. Sorensen, "Numerical methods for large eigenvalue

problems" .................................................. 519-584

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

From: Hans Schneider <hans@math.wisc.edu>

Date: Sat, 11 May 2002 11:34:11 -0500 (CDT)

**Subject: Contents, Linear Algebra and its Applications**

Journal: Linear Algebra and its Applications

ISSN : 0024-3795

Volume : 350

Issue : 1-3

Date : 15-Jul-2002

The numerical range of a nonnegative matrix

C.-K. Li, B.-S. Tam, P. Yuan Wu

pp 1-23

A weighted Drazin inverse and applications

V. Rakocevic, Y. Wei

pp 25-39

Commutativity preserving linear maps and Lie automorphisms of strictly

triangular matrix space

Y. Cao, Z. Chen, C. Huang

pp 41-66

State space calculations for discrete probability densities

B. Hanzon, R.J. Ober

pp 67-87

A priori error bounds on invariant subspace approximations by block Krylov

subspaces

M. Robbe, M. Sadkane

pp 89-103

Covering numbers under small perturbations

R. Fernandes

pp 105-124

Containment regions for zeros of polynomials from numerical ranges of

companion matrices

H. Linden

pp 125-145

The polytope of degree sequences of hypergraphs

N.L. Bhanu Murthy, M.K. Srinivasan

pp 147-170

Some explicit formulas for the polynomial decomposition of the matrix

exponential and applications

R. Ben Taher, M. Rachidi

pp 171-184

Intersections of nest algebras in finite dimensions

P.A. Fillmore, W.E. Longstaff, G.W.M. H. Radjavi, Y. Zhong

pp 185-197

On the reconstruction of Toeplitz matrix inverses from columns

G. Heinig

pp 199-212

The Lie algebra structure and controllability of spin systems

F. Albertini, D. D'Alessandro

pp 213-235

Condition numbers of algebraic Riccati equations in the Frobenius norm

J.-g. Sun

pp 237-261

Linear operators that preserve pairs of matrices which satisfy extreme rank

properties

L.B. Beasley, S.-G. Lee, S.-Z. Song

pp 263-272

A new proof of Mayer's theorem

C.-T. Pang, Y.-Y. Lur, S.-M. Guu

pp 273-278

Total positivity and Toda flow

G.M.L. Gladwell

pp 279-284

A note on Krylov subspace methods for singular systems

Z.-H. Cao, M. Wang

pp 285-288

Convexoid and generalized derivations

M. Barraa

pp 289-292

Author index

pp 293

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End of NA Digest

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