NA Digest Monday, January 17, 1994 Volume 94 : Issue 3

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

Submissions for NA Digest:

Mail to

Information about NA-NET:

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From: Helen Ruddy <har@ss1.biomed.QueensU.CA>
Date: Mon, 10 Jan 94 12:19:24 EST
Subject: Best Sphere Fitting

Does anyone know which algorithm(s) I can use to fit the "best" sphere
to a set of 3-D coodinates. In this case I have a set of electrode
coordinates on a head (scalp) and wish to find the best sphere through
them. Apologies if this is a very simple/well known problem and
Thanks in advance
Helen Ruddy (email:


From: Mark Poole <>
Date: Tue, 11 Jan 94 09:47 +0100 (BST)
Subject: Code for Boundary Element Methods

I am searching for computer code, preferably in FORTRAN, that uses
the boundary element method to solve Laplace's equation on a 3-D domain,
using, as a preference, simple constant quadrilateral elements.
Any help relating to any aspect of the above problem would be greatly
Many thanks in advance,

Mark Poole.


From: Sean Washburn <>
Date: Thu, 13 Jan 94 13:12:02 EST
Subject: Help with Maxwell Equations

I am trying to model the response of the Maxwell equations (separable,
partial diffferential equations) in three dimensions, to driving terms
of arbitrary spatial configuration (confined to a plane) along one edge
of the system. It would be very convenient to have a package written
to do this that cost nothing, but I would be grateful for any help.

Thanks, Sean Washburn


From: Rudnei Dias da Cunha <>
Date: Tue, 11 Jan 1994 12:04:46 +0000
Subject: Parallel Iterative Methods Package

We would like to announce the availability of the Parallel Iterative Methods
(PIM) package.

PIM is a collection of Fortran routines designed to solve systems of
linear equations (SLEs) on parallel computers using iterative methods.

PIM offers a number of iterative methods, including
- Conjugate-Gradients (CG),
- Bi-Conjugate-Gradients (Bi-CG),
- Conjugate-Gradients squared (CGS),
- The stabilised version of Bi-Conjugate-Gradients (Bi-CGSTAB),
- Generalised minimal residual (GMRES),
- Generalised conjugate residual (GCR),
- Conjugate-Gradients for normal equations with minimisation of the
residual norm (CGNR),
- Conjugate-Gradients for normal equations with minimisation of the
error norm (CGNE), and
- Transpose-free quasi-minimal residual (TFQMR).

The routines allow the use of preconditioners; the user may choose to use
left-, right- or symmetric-preconditioning. Several stopping criteria can
also be chosen.

PIM has been tested on networks of workstations using PVM 3.1, p4 1.2,
TCGMSG 4.02, on the Intel Paragon using the NX library and on the
Cray Y-MP2E/233.

It is available via anonymous ftp at (

in the file


This file contains the source codes for PIM, the example programs and
the user's guide in PostScript format.

The user's guide is also available separately as Internal Report 2-94 of
the Computing Laboratory, UKC in the file


The authors can be contacted via e-mail at either or

Rudnei Dias da Cunha
Centro de Processamento de Dados, Universidade Federal do Rio Grande do Sul,
Computing Laboratory, University of Kent at Canterbury, United Kingdom

Tim Hopkins
Computing Laboratory, University of Kent at Canterbury, United Kingdom


From: Jerzy Wasniewski <>
Date: Tue, 11 Jan 1994 13:54:54 +0100 (MET)
Subject: Workshop on Parallel Scientific Computing in Denmark


organised by:
UNI*C (The Danish Computing Centre for Research and Education),
IMM (The Institute for Mathematical Modelling of the Technical
University of Denmark) and
Jack Dongarra

Dates: June 20, 1994 - Tutorial on heterogeneous network computing
June 21 - 23, 1994 - Workshop sessions

Place: UNI*C, The Danish Computing Centre for Research and Education,
The Technical University of Denmark,
Bldg. 304, 2800 Lyngby,

Recent results on efficient and fast methods for high speed computers
will be discussed at this workshop. The use of these methods in
connection with big application packages will also be treated. Finally,
the use of scalable libraries will be of particular interest. The
workshop will be preceeded by a one-day tutorial devoted to tools for
heterogeneous network computing, where Jack Dongarra will be the main
The main purpose of this workshop is to bring together scientists
working with large computational problems and specialists in the field of
parallel methods and efficient exploitation of modern high-speed
computers. Some classes of numerical methods appear again and again
during the numerical treatment of many problems in different fields of
science and engineering. The aim of this workshop is to select some of
these numerical methods and plan further experiments on several types of
parallel computers. The key lectures will show an overview of different
parallel and vector computers. They will review the most important
numerical algorithms and scientific applications on parallel computers.
Some of the key speakers are:

Jack Dongarra, Tennessee University, USA
Iain Duff, Rutherford Appleton Laboratory, England
Len Freeman, University of Manchester, England
Al Geist, Oak Ridge National Laboratory, USA
Svend Hammarling, Numerical Algorithms Group, England
Per Christian Hansen, The Danish Computing Centre, Denmark
Bill Harrod, Cray Research, USA
Axel Hunding, University of Copenhagen, Denmark
Kaj Madsen, Technical University of Denmark, Denmark
John Perram, University of Odense, Denmark
Robert Schreiber, NASA, USA
Stig Skelboe, The Danish Computing Centre, Denmark
Zahari Zlatev, The Air Pollution Department, Denmark

A limited number of contributed 20 min. talks will be selected for
the workshop. Poster sessions will also be organised. Potential
contributors should notice the following deadlines.

Abstracts no more than one A4 page (talks and posters) by
April 30, 1994. Papers between 5 and 10 pages for
conference proceedings by May 15, 1994.

A program with the key lectures will be announced in NA-NET as early
as possible. A program with the talks at the workshop will be sent to the
participants in the beginning of June.

All the workshop information will be distributed by the mailing list of
To subscribe send a message to
sub para94-l Yourname
Registration fees: 3 day workshop 700 DKK (DKK = Danish Kroner),
before May 31, 1994. This includes the cost of 3 lunches, morning and
afternoon coffee or tea, soft drinks, reception, a bus tour from the
conference place to Copenhagen and the conference proceedings. 1 day
tutorial 300 DKK (DKK = Danish Kroner), before May 31, 1994. This
includes the cost of 1 lunch, morning and afternoon coffee or tea, soft
drinks, and the tutorial proceedings.
Registration fee must be paid by cheque. If the cheque is sent in
another currency than the Danish Kroner it must of include the exchange
cost which is 50 DKK for all combination costs 300, 700 or 1000 DKK. 1
American Dollar is approximatly 7 DKK.
The cheques for the workshop and tutorial should be payable to the
UNI*C, DTH, Bldg. 304
2800 Lyngby, Denmark
Attn: Jerzy Wasniewski
Email: Fax: (+45) 45 93 02 20
Tel: (+45) 42 88 39 99 + 2426


From: Bob Plemmons <>
Date: Tue, 11 Jan 94 10:56:49 EST
Subject: Southeastern Atlantic SIAM Meeting

Meeting Announcement (Second Announcement)
Southeastern-Atlantic Section of SIAM
March 25-26, 1994
Wake Forest University
Winston-Salem, North Carolina

Invited Speakers:

Shui-Nee Chow, Georgia Institute of Technology
"Lattice Dynamics";
Jack Dongarra, University of Tennessee and Oak Ridge Nat. Lab.
"Recent Work in Parallel Algorithms for Linear Algebra";
Avner Friedman, Institute for Mathematics and Its Applications,
"Free Boundary Problems for Systems of PDE".

Invited Mini-Symposia:

"Fluids and Waves"
Joel D. Avrin (organizer), University of North Carolina Char.
J. Thomas Beale, Duke University
Michael Renardy, Virginia Tech
Michael E. Taylor, University of North Carolina Chapel Hill

"Applied Mathematics in Industry"
Robert E. Fennell (organizer), Clemson University
William Browning, Applied Mathematics Inc.
Karen Dunlap, Bellcore
Michael Grabbe, BDM Engineering Services Co.
Kevin Schweiker, Hercules Corporation

"Scientific Computing"
Robert E. Funderlic (organizer), N. C. State University
Steven L. Lee, Oak Ridge National Laboratory
Skip Thompson, Radford University
Jeffrey O. Young, National Oceanic and Atmospheric Admin.,

"Applications of Mathematics at ORNL"
Esmond G. Y. Ng (organizer), Oak Ridge Nat. Lab.
Michael Berry, University of Tennessee
Ed D'Azevedo, Oak Ridge National Laboratory
Noel Nachtigal, Oak Ridge National Laboratory
Barry Peyton, Oak Ridge National Laboratory

CONTRIBUTED PAPERS: Several sessions of fifteen minute presentations
of contributed papers will be held. Papers in all areas of applied
mathematics are welcome. To contribute a paper send a title and abstract
of no more than 100 words by February 15, 1994, to:
or to Richard D. Carmichael at the address given below. Abstracts should
contain the title, author(s), affiliation(s), and body of abstract.
STUDENT PAPERS: Sessions of fifteen minute presentations of student
papers will be held, and cash prizes will be given for the best student
papers. Students who desire to contribute a paper should send a title and
abstract under the same guidelines as in the previous paragraph and
should clearly mark on the abstract that the contribution is a student paper.
MEETING DETAILS: The meeting will be held on the campus of Wake
Forest University in Winston-Salem, North Carolina, and will begin at 1:00
p.m. on Friday, March 25. The registration fee (for all participants except
students) is $30.00 which includes the cost of a meal on Friday night on
the Wake Forest campus. Registration by mail using the attached form
is preferred; please register before March 11, 1994. Make your check
payable to "Dept. of MTH and CSC, WFU". A receipt, together with a map
locating Wake Forest in relation to motels, will be sent to those
who register before March 11, 1994. Persons can also register at the meeting.
Further information can be obtained by e-mail at


From: SIAM <>
Date: Tue, 11 Jan 94 11:10:27 EST
Subject: SIAM Symposium on Control Problems in Industry

Symposium on Control Problems in Industry
Holiday Inn by the Bay
July 22-23, 1994
San Diego, CA

This symposium will focus on industrial control applications that
have benefited from recent mathematical and technological developments.
The symposium is being conducted by SIAM with the cooperation of
the Institut National de Recherche en Informatique et en
Automatique (INRIA).

Symposium Themes

The symposium will focus on the following applications and

o Applications of Control Techniques in
- the aerospace industry
- the automotive industry
- the environmental sciences
- manufacturing processes
- the petroleum industry

o Optimal Shape Design in Aerospace Applications

o Optimal Design of Micro-optics

o Robust Control and H-infinity Methods

Invited Presentations

There will be four 40-minute presentations in the morning and
four in the afternoon of each day. In addition, a limited number
of contributed presentations are expected.

Control Techniques Applied to Combustion Problems.
Jeffrey Cook
New Directions in Industrial Control.
Edward J. Davison
Controlled Scattering of Light Waves: Optimal Design of Micro-Optical Devices.
David C. Dobson
Control Law Design for the Space Station.
Michael Elgersma
Use of Control Theory in the Petroleum Industry.
Richard E. Ewing
Control of Semiconductor Manufacturing Systems.
Pramod P. Khargonekar
Nonlinear Dynamics of Compressor Stall.
Frances McCaughan
Modeling and Optimization for Damped Telescopes.
Mark Millman
Scattering of High Frequency Waves by Coated Bodies Using Exact
Controllability Methods: CEM Applications in Aerospace Engineering.
Jacques Periaux
Applied Mathematics and the Automotive Industry.
Barry Powell
Gauge Control of Film and Sheet Forming Processes.
James B. Rawlings
The Invariant Heat Equation and Image Analysis.
Guillermo Sapiro
Applications of Optimal Control to Groundwater Contamination.
Christine A. Shoemaker
Control of Hydraulic Equipment of a River Valley.
Serge Steer
Applications of H-infinity Control to Wave Generators in a Canal.
Jean-Pierre Yvon
Robustness Analysis of Dynamic Inversion Control Laws for
Nonlinear Control of Fighter Aircraft.
Bingyu Zhang

Organizing Committee

Irena Lasiecka (chair)
Blaise Morton
Jacques Henry

Registration information about the symposium will be available in
mid-April, 1994. To ensure receiving your copy, contact SIAM now.


From: SIAM <>
Date: Tue, 11 Jan 94 12:59:42 EST
Subject: Deadline, SIAM Annual Meeting

A Friendly Reminder .....

1994 SIAM Annual Meeting
July 25-29, 1994
San Diego, California

The deadline for submission of contributed abstracts is
JANUARY 24, 1994.

NOW is the time to send in a title and 75-word
abstract. SIAM welcomes submission in either of the
following ways:
fax: 215-386-7999
post: SIAM Conference Department
3600 University City Science Center
Philadelphia, PA 19104-2688

Electronic submission is encouraged. To help in
formatting your submission, plain TeX or LaTeX macros are
available by contacting SIAM at If you
are not using TeX, submissions can be made as plain text
e-mail. You can also submit via FAX or postal mail.


From: Francois Cellier <>
Date: Wed, 12 Jan 1994 23:07:38 -0700 (MST)
Subject: CACSD'94: Final Program

MARCH 7-9, 1994

The Final Program of this conference are now available. The program is
clearly too long to be listed in full in the na_digest. You can request
a softcopy of the final program of this conference by sending e_mail to
Cellier@ECE.Arizona.Edu .

Francois E. Cellier, Ph.D.
Associate Professor
Dept. of Electr. & Comp. Engr.
University of Arizona
Tucson, AZ 85721

Phone: +1(602)621-6192
FAX: +1(602)621-8076
EMail: Cellier@ECE.Arizona.Edu

CACSD'94: General Chairman


From: Joseph Traub <>
Date: Wed, 12 Jan 94 16:11:22 EST
Subject: Position at Columbia University

The Computer Science Department at Columbia University wishes to make a
tenure track appointment in parallel scientific computation.

Candidates should have exceptional research records or promise,
as well as interest in teaching.

The following characteristics are necessary:

--- Substantial expertise in parallel or distributed computing

--- Very strong in mathematics and scientific computation

Knowledge of an area of computational science is a plus.

To learn more about our Department, see our general faculty recruiting
ad in CACM.

To apply, please send your CV, a selection of your papers and /or reports,
and the names of at least three references to:

Joseph Traub
Computer Science Department
456 Computer Science Building
Columbia University
New York, NY 10027


From: Robert Robey <>
Date: Fri, 14 Jan 1994 09:14:56 -0700
Subject: Position at Maui High Performance Computing Center



The Director of the MHPCC is the chief operating administrator of
the Maui Center and reports to the UNM Center for High
Performance Computing (CHPC) which administers the project for
UNM. The Director is responsible for programs at the MHPCC
including user services, systems and operations, and outreach,
including education, economic development, and technology

This is a major DoD and academic facility and the Director has a
primary responsibility for its effectiveness and success. The
MHPCC is expected to be established with a strong "Center-based"
management structure. The MHPCC has the strong backing of a
committed team of institutional partners.

Requests for additional information about the MHPCC shall be sent
to Curt Wann, Project Manager, at UNM, (505)277-8249, e-mail is

Completed applications, including a vita and names, phone number,
addresses, and e-mail addresses of four references, must be
received by February 4, 1994. Send application material to
Director Search Committee, Maui Project, Math Annex, University
of New Mexico, Albuquerque, NM, 87131. Reference position
announcement 0893-93A.


Duties involve overseeing a $30-50M budget over the first three
years, an initial staff of 20-30, overseeing the installation of
$20M in latest IBM Scalable Parallel Processor (SPP) computers
and other equipment, overseeing the installation and maintenance
of a Maui to CONUS network, directing the development of an
effective user services system to span the country, and
overseeing the development of an effective outreach operation to
DoD, business, industry, government labs, and education.

The Director will become the major advocate for the MHPCC, be a
national leader in high performance computing inside the DoD, in
the general user community, and in business and industry, and
maintain close ties with the UNM CHPC. The Director will be
responsible, in collaboration with the UNM CHPC, for seeking
enhancement funding for the MHPCC.

Although the Director is the chief operation officer of the
MHPCC, the Director must also perform duties which are necessary
to keep the Center operational and effective. Thus, the Director
must occasionally perform user services duties, operational
duties and liaison duties which are normally delegated to


Minimum requirements are a Ph.D. in an appropriate scientific or
engineering discipline or an MS degree plus applicable
experience; at least 10 years experience in research, operations,
and administration in high performance computing. At least two
of these years must involve high level administrative experience
in a high performance computing. Must be legally authorized to
work in the USA and must have or be able to obtain a SECRET level


It is desired that the Director have a national reputation in
high performance computing with membership on national committees
and boards recognized in the field of high performance, or
scientific computing.

The position also involves working with diverse organizations,
establish priorities, and manage and direct financial resources.
The candidate should have extensive supervisory and management
ability, the ability to develop rapport with a wide constituency
including the local community and business interests, and shall
have demonstrated emotional and financially stability,
dependability, and the ability to work in extremely stressful

Extensive travel is required with the ability to diplomatically
represent the MHPCC, UNM, and the Center Partners at national
forums and in political situations. The position will require
considerable additional time other than normal working hours, and
requires locating in Maui, Hawaii.

UNM is an Affirmative Action/Equal Opportunity Employer


From: A. Spence <>
Date: Fri, 14 Jan 94 22:08:14 GMT
Subject: Chair of Applied Mathematics at Bath University


Following the election of Professor John Willis FRS to the new Chair of
Theoretical Solid Mechanics at the University of Cambridge, the University of
Bath is seeking to appoint to this established chair a person with an
outstanding research record who will provide leadership and foster research
excellence. Current research activity in Applied Mathematics at Bath can be
roughly categorised as:

Applied Nonlinear Analysis
Control Theory
Mathematical Biology
Numerical Analysis
Solid Mechanics.

Informal enquiries may be made to Professor J H Davenport (tel. +44 225 826181; or Professor A Spence (tel. +44 225 826011;, or The School fax
number is +44 225 826492.

The appointment is tenable from 1st September 1994 or as soon as
possible thereafter.

Further particulars may be obtained from Peter J Hill, Director of Personnel,
University of Bath, Claverton Down, Bath BA2 7AY (tel. +44 225 826026;
fax +44 225 826559;

The closing date for applications is 28th February 1994.


From: Richard Brualdi <>
Date: Tue, 11 Jan 1994 12:12:24 -0600 (CST)
Subject: Contents: Linear Algebra and its Applications

Contents Volumes 197, 198
Proceedings of the Second Conference of the International Linear
Algebra Society (Lisbon, 1992)

Peter Lancaster (Calgary, Alberta, Canada), Alexander S. Markus
(Beer Sheva, Israel), and Qiang Ye (Winnipeg, Manitoba, Canada)
Low Rank Perturbations of Strongly Definitizable Transformations
and Matrix Polynomials 3

Dragomir Z. Dokovic (Waterloo, Ontario, Canada) and Chi-Kwong Li
(Williamsburg, Virginia)
Overgroups of Some Classical Linear Groups With Applications to Linear
Preserver Problems 31

M. J. C. Gover (Bradford, West Yorkshire, England)
The Eigenproblem of a Tridiagonal 2-Toeplitz Matrix 63

Alexander Kovacec and Ana Paula Santana (Coimbra, Portugal)
A Combinatorial Theorem on the Cartan Invariants of the
Schur Algebra S(B+) 79

B. Beckermann and G. Muhlbach (Hannover, Germany)
A General Determinantal Identity of Sylvester Type and
Some Applications 93

Tsuyoshi Ando (Sapporo, Japan) and Fumio Hiai (Mito, Ibaraki,
Log Majorization and Complementary Golden-Thompson Type
Inequalities 113

M. Gasca and J. M. Pena (Zaragoza, Spain)
A Test for Strict Sign-Regularity 133

Russell Merris (Hayward, California)
Laplacian Matrices of Graphs: A Survey 143

Maria Antonia Duffner (Lisboa, Portugal) and G. N. de Oliveira
(Coimbra, Portugal)
Pairs of Matrices Satisfying Certain Polynomial Identities 177

Raphael Loewy and Nizar Radwan (Haifa, Israel)
Spaces of Symmetric Matrices of Bounded Rank 189

Kurt J. Reinschke (Dresden, Deutschland)
Graph-Theoretic Approach to Symbolic Analysis of Linear
Descriptor Systems 217

Rajendra Bhatia (New Delhi, India)
Matrix Factorizations and Their Perturbations 245

Joao Filipe Queiro (Coimbra, Portugal)
An Inverse Problem for Singular Values and the Jacobian of the
Elementary Symmetric Functions 277

Axel Ruhe (Goteborg, Sweden)
Rational Krylov Algorithms for Nonsymmetric Eigenvalue Problems.
II. Matrix Pairs 283

A. Bjorck (Linkoping, Sweden)
Numerics of Gram-Schmidt Orthogonalization 297

Chi-Kwong Li (Williamsburg, Virginia) and Maria Emilia Miranda
(Coimbra, Portugal)
Antidiagonals of Matrices in a Unitary Similarity Orbit 317

Miroslav Fiedler (Praha, Czech Republic)
Elliptic Matrices With Zero Diagonal 337

Eduardo Marques de Sa (Coimbra, Portugal)
Faces and Traces of the Unit Ball of a Symmetric Gauge Function 349

R. B. Bapat and A. K. Lal (New Delhi, India)
Inequalities for the q-Permanent 397

Natalia Bebiano, Alexander Kovacec, and Joao da Providencia
(Coimbra, Portugal)
The Validity of the Marcus-de Oliveira Conjecture for the
Essentially Hermitian Matrices 411

Eduardo Marques de Sa (Coimbra, Portugal)
Exposed Faces and Duality for Symmetric and Unitarily
Invariant Norms 429

Eduardo Marques de Sa (Coimbra, Portugal)
Faces of the Unit Ball of a Unitarily Invariant Norm 451

M. C. Gouveia (Coimbra, Portugal)
Group and Moore-Penrose Invertibility of Bezoutians 495

J. J. McDonald (Madison, Wisconsin)
A Product Index Theorem With Applications to Splittings
of M-matrices 511

Daniel Alpay (Beer-Sheva, Israel), Joseph A. Ball
(Blacksburg, Virginia), Israel Gohberg (Tel-Avev, Israel),
and Leiba Rodman (Williamsburg, Virginia)
J-Unitary Preserving Automorphisms of Rational Matrix
Functions: State Space Theory, Interpolation, and Factorization 531

M. Antonia Duffner (Lisboa, Portugal)
Linear Transformations That Preserve Immanants 567

Ma Asuncion Beitia and Ion Zaballa (Vitoria-Gasteiz, Spain)
Invariants of the Block Tensor Product 589

Georg Heinig and Frank Hellinger (Leipzig, Germany)
Displacement Structure of Pseudoinverses 623

H. Bart (Rotterdam, the Netherlands) and V. E. Tsekanovskii
(Buffalo, New York)
Complementary Schur Complements 651

Gordon James (London, England)
Hecke Algebras and Immanants 659

Thomas J. Laffey and Robert Reams (Dublin, Ireland)
Integral Similarity and Commutators of Integral Matrices 671

Jiang Erxiong (Shanghai, China)
Bounds for the Smallest Singular Value of a Jordan Block
With an Application to Eigenvalue Perturbation 691

Fernando C. Silva (Lisboa, Portugal)
On the Number of Invariant Polynomials of Partially
Prescribed Matrices 709

Biswa Nath Datta (DeKalb, Illinois)
Linear and Numerical Linear Algebra in Control Theory:
Some Research Problems 755

J. A. Dias da Silva (Lisboa, Portugal)
REPORT: Second Conference of the International Linear
Algebra Society (Lisbon, 1992) 793


From: SIAM <>
Date: Fri, 14 Jan 94 12:30:16 EST
Subject: Contents: SIAM Mathematical Analysis

SIAM J. Math. Anal
May 1994

Asymptotic Stability for Intermittently Controlled Nonlinear Oscillators
Patrizia Pucci and James Serrin

Asymptotic Analysis of a Multidimensional Vibrating Structure
Carlos Conca and Enrike Zuazua

On Characterization of Solutions of Some Nonlinear Differential Equations and
Marie-Francoise Bidaut-Veron and Mustapha Bouhar

On Global Weak Solutions of the Nonstationary Two-Phase Stokes Flow
Yoshikazu Giga and Shuji Takahashi

A Remark on Quasi-Stationary Approximate Inertial Manifolds for the
Navier-Stokes Equations
D. A. Jones and E. S. Titi

Dispersion in Pipes with Slowly Varying Cross-Sections
W. P. Kotorynski

On a Local Existence Theorem for a Simplified One-Dimensional Hydrodynamic
Model for Semiconductor Devices
Bo Zhang

Stability of Some Test Equations with Delay
V. B. Kolmanovskii, L. Torelli, and R. Vermiglio

Hermite Interpolation on the Lattice ZZd
Kurt Jetter, Sherman D. Riemenschneider, and Zuowei Shen

Characterizations of Orthogonal Polynomials Satisfying Differential Equations
K. H. Kwon, L. L. Littlejohn, and B. H. Yoo

On Zeros of Multivariate Quasi-Orthogonal Polynomials and Gaussian Cubature
Yuan Xu

Barnes- and Ramanujan-Type Integrals on the q-Linear Lattice
Mizan Rahman and Sergei K. Suslov


End of NA Digest