NA Digest Sunday, July 23, 1996 Volume 96 : Issue 28

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: George Cybenko <>
Date: Tue, 16 Jul 1996 16:07:58 +0200 (METDST)
Subject: Web Application, The Informant

The Informant

Some of my students and I have developed a Web application called
"The Informant". Its URL is
This application saves key words that you provide and runs
periodic web searches (using Lycos now and other search engines
in the near future as well) on your behalf. When new web sites
are found that match your key words with a high score, you are sent
email notifying you that new material has been found. You then
reconnect to and get a customized
page showing the new links. The service is free.

For example, suppose you are interested in sparse eigenvalue problems.
You might enter "sparse eigenvalues" as a search key word. Then
when new material relevant to "sparse eigenvalues" is found on the web
(that you have not already seen), you will get notified via email.
It works like a web clipping service essentially.

There are over 5100 registered users already from around the world
and most feedback has been very positive. The application has
been featured on Netscape's "What's New" button as well as being
the Microsoft Network "Pick of the Day". We welcome new users and
feedback about the application, especially ways in which it can
be improved.

Happy Surfing
George Cybenko


From: Jonathan Shewchuk <>
Date: Sun, 21 Jul 96 21:24:43 EDT
Subject: Triangle Mesh Generator Available

Now available from Netlib:

Triangle Version 1.3
A Two-Dimensional Quality Mesh Generator and Delaunay Triangulator.

Triangle generates 2D Delaunay triangulations, Voronoi diagrams, convex
hulls, constrained Delaunay triangulations, and quality conforming
Delaunay triangulations. The latter can be generated with no small
angles, and are thus suitable for finite element analysis. Triangle
includes an implementation of Ruppert's Delaunay refinement algorithm
for 2D meshing. Users can specify constraints on minimum angle and
maximum triangle area, and can refine previously generated meshes based
on a posteriori error estimates. Support is included for holes,
concavities, internal boundaries, and intersecting segments.

The Delaunay triangulations and constrained Delaunay triangulations
produced are exact, but very little speed is sacrificed to gain this
robustness. Hence, Triangle is useful not only for finite element
practitioners, but also for computational geometers who seek a
comparison to validate the robustness of their codes against.

Triangle is accompanied by a simple X program called "Show Me", whose
purpose is to display point sets, planar straight line graphs,
triangulations, partitions, and Voronoi diagrams. It also creates
PostScript output.

Triangle is about 13,000 lines of portable C code, and Show Me about 3,400.
Each is a single, easy-to-compile file.

New features in Version 1.3: Faster file reading. Interface for calling
Triangle from another program. Attributes that allow you to determine which
(segment-bounded) region a triangle falls in. Triangle neighbor lists.
Objects can be numbered from zero. Ability to suppress insertion of new
points on the boundary, thus preserving compatibility with adjacent meshes.
Handles duplicate input points correctly.

Triangle is available through Netlib. Full online documentation for Triangle
is available on the Web at

Jonathan Shewchuk
School of Computer Science
Carnegie Mellon University


From: Harvey Greenberg <>
Date: Sun, 21 Jul 1996 22:07:10 -0600 (MDT)
Subject: Mathematical Programming Glossary

This is to announce the pre-release of a Mathematical
Programming Glossary. You presently get there via my
web page. It will become a regular publication soon,
but now I welcome your comments to make it better.

Please feel free to pass this announcement on to other
news groups or individuals.


Please drop by my web page,
(There have been changes as recently as July 20.)


From: SIAM <>
Date: Mon, 22 Jul 96 09:07:35 EST
Subject: Special Issue of SIAM Numerical Analysis

The SIAM Journal on Numerical Analysis (SINUM) will be publishing a
special issue edited by Eitan Tadmor on the topic of Approximate
Solution of Nonlinear Conservation Laws and Related Equations. This
issue is dedicated to Ami Harten, who served as a SINUM editor and was
a leading researcher in this area until his untimely death in August

The deadline for submission to the issue is January 1997. Contributors
should send five copies of their paper, with a cover letter indicating
that the paper is for the SINUM special issue, to SIAM, P.O. Box 7541,
Phila., PA 19101. Questions can be addressed to


From: Tim Davis <>
Date: Mon, 22 Jul 1996 12:34:35 -0400
Subject: Sparse Matrices and Pictures on the WWW

We have a new web site for viewing and downloading matrices in our sparse
matrix collection at the Univ. of Florida (including copies of matrices from
the Harwell/Boeing collection, and other collections). Each matrix has its own
web page, with two GIF images each: one of the pattern of entries (some of
are sometimes numerically zero) and one of the pattern of numerical values
(which will be in color, to denote the absolute values of the entries).
We've also included some statistical information, courtesy of the "info"
routine in SPARSKIT2. We plan on adding other information, such performance
of ordering & factorization codes, later on.

The advantage of the GIF images is that they are very small. You don't have
to download 10's of megabytes of information just to get a image of the matrix.

The site is "under construction" (aren't they all...?), but you're welcome
to take a look at what we have so far. The location may change, so for now,
simply look at my home page:

and follow the link from there. If you don't find it, try again later, since
we take it off-line to work on it from time to time.

Tim Davis (
Justo Casablanca (


From: Janos Pinter <>
Date: Fri, 26 Jul 1996 15:22:52 -0300 (ADT)
Subject: Contribution to Global Optimization Software Survey

Dear Colleagues:

I have been asked to prepare a survey paper on existing global
optimization software. If you would like your software (or anyone's
work you know of) to be mentioned in this review, then please send
information (a brief ASCII description, and possibly also research
articles, user guide/info, demo disk, references, pointers to your home
page, etc. - as you find appropriate) to my address. Sending only an e-mail
message to me is certainly fine, but in case of lengthier submissions, I
would much appreciate hard copies containing supporting info.

It would be of great help, if you were kind to 'self-assess' your
contribution, esp. since I may not have your software (Some pointers:
problem types and sizes solvable, educational/professional versions,
existing interface, ease of use, test results, scope of applications...)

You are kindly asked to pass around this message to anyone whom you think
make worthwile (software related) contributions to this subject.

Since the time frame is relatively short (I was asked to do the job a few
days ago, and the submission deadline is Sept 15), your prompt reaction
will be much appreciated.

Thanks in advance for your assistance, and have a great summer!

Janos Pinter
Pinter Consulting Services
Adjunct Professor
Faculty of Management
Dalhousie University

PCS address:
129 Glenforest Drive, Halifax, NS, Canada B3M 1J2
Phone: 1-(902)-443-5910


From: Rich Richardson <>
Date: Fri, 19 Jul 1996 13:03:34 -0500
Subject: Short Course in Semiconductor Simulation


A Short Course offered November 11-13, 1996 at the
University of Texas at Austin

Audience: This course will provide engineers and managers
with a deeper understanding of the underlying mathematical
principles behind current process, device, and circuit
simulators, enabling them to apply this knowledge to better
utilize simulation as an integral part of the design process.

Faculty: G. Carey, W. Richardson, and B. Mulvaney.

Material: The course will emphasize simulation methods for
circuit analysis, semiconductor devices, and process modeling:
mathematical models, numerical techniques, simulation
'pitfalls', applications studies, and solution strategies
of current simulators. The course will consist of approximately
20 hours of lectures based on the new text by the lecturers:
NUMERICAL ASPECTS (Wiley, 1996). For further information see


From: Zahari Zlatev <>
Date: Thu, 25 Jul 1996 10:00:45 +0100
Subject: Regional Modelling of Air Pollution in Europe

Dear Colleagues,

Some of you, people involved in large-scale applications,
might be interested to participate in the first REMAPE Workshop.
and to get contacts with groups which are actively working in
this area. REMAPE stands for Regional Modelling of Air Pollution
in Europe. This is a sub-project of EUROTRAC-2. REMAPE will
continue all activities of EUMAC (from EUROTRAC-1), but new
activities will also be started.

The workshop will be held at the University of Copenhagen,
September 26-27, 1996. All research groups, which are planning
to have projects in REMAPE, are encouraged to participate.
However, our meeting is open and we are inviting other
researchers to come and/or to give talks. All topics related
to long-range transport, meso-scale modelling, model validations,
chemical mechanisms, cloud processes, emission modelling,
simulations (related to control strategies and studies of
effects from different receptors) and large-scale computations on
modern vector and parallel computers are relevant for this workshop.

The number of particpants will be limited to no more than 75
(for technical reasons). The dead line for registration and/or
sending abstracts is August 15 1996. The registration fee will be 400 DKR.

To get more detailed information about this meeting contact:

Zahari Zlatev
National Environmental Research Institute
Frederiksborgvej 399, P. O. Box 358
Telephone: + 45 4630 1149
Fax: + 45 4630 1214

I am giving you two alternative e-mail addresses, because our
local computer net is still having sometimes problems due to the
introduction of a "fire-wall".

I hope to see some of you at the workshop in Copenhagen.

Best regards, Zahari Zlatev


From: Jerzy Wasniewski <>
Date: Fri, 26 Jul 1996 11:51:40 +0200 (METDST)
Subject: The PARA96 Program and Booklet of Abstracts

The PARA96 program, booklet (practical information, abstracts and a
list of participants) and maps are available on the PARA96 WEBsite and
anonymous ftp.
If you have not already sent a completed registration form, please do
so as soon as possible.
The PARA96 information, can be found at the PARA96 Website:
The PARA96 anonymous ftp is:
cd para | cd para/Maps
Best regards,


From: Bill McColl <>
Date: Wed, 24 Jul 96 14:16:27 BST
Subject: Position at Oxford University

Computing Laboratory
Professorship of Numerical Analysis

The electors intend to proceed to an election to the Professorship of
Numerical Analysis, which will fall vacant with effect from 1 October
1997, upon the retirement of Professor K.W. Morton.

A non-stipendiary professorial fellowship at Balliol College is
attached to the professorship.

Applications (ten copies, or one only from overseas candidates),
naming three referees, should be received not later than 16 September
1996 by the Registrar, University Offices, Wellington Square, Oxford
OX1 2JD, from whom further particulars may be obtained.


From: Chris Johnson <>
Date: Thu, 25 Jul 1996 13:03:44 -0600
Subject: Position at the University of Utah

The Center for Scientific Computing and Imaging within the Department of
Computer Science at the University of Utah is looking to hire a full-time
computer professional beginning July 1996 and continuing for one year.
(Employment may extend past one year contingent on funding and excellent
performance reviews.)

A Bachelors degree and two years experience is required. The Center would
prefer the applicant to have expertise in C++ programming and have strong
verbal and writing skills. Duties include: optimizing existing C++ codes;
writing C++/Tck/Tk/OpenGl scientific computing modules at both the systems
and applications level; and documenting software. The Center also requests
that the applicant be familiar with scientific computing and visualization,
have experience working on large software systems, also have experience in
Unix systems management, and multithreaded program development.

Please send a resume and names of references to:

Chris Johnson
Department of Computer Science
University of Utah
Salt Lake City, UT 84112
Phone: (801) 581-7705
Fax: (801) 581-5843


From: Claus Schneider <SCHNEIDER@MAT.Mathematik.Uni-Mainz.DE>
Date: Fri, 19 Jul 1996 15:56:26 +0100
Subject: Position at J. Gutenberg-University of Mainz

The Department of Mathematics (Johannes Gutenberg-University Mainz,
Mainz in the Rhine valley close to Francfort (cf. also F.L.Bauer's report
in the latest NADigest)) is currently seeking an excellent mathematician for
the position of a

Full Professor (C4) in Applied Mathematics.

Researchers with experience in any or all (try the impossible) of
the following categories are invited to apply
Numerical solution of PDE's
Numerical solution of inverse problems
Numerical solution of combinatorical optimization problems.

15 September 1996 is the deadline for applications. The official announcement
of the position (in German and p.c.) has been published in DIE ZEIT. It is also
available via email (

Interested individuals are encouraged to contact the Dean of the Department:
Prof Dr K-J Scheiba
Dekan des Fachbereichs Mathematik
Johannes Gutenberg-Universit/"at
D--55099 Mainz


From: Heinz W. Engl <>
Date: Tue, 23 Jul 1996 20:31:17 EDT
Subject: Position at Johannes Kepler Universitaet

We might have money available for funding an additional postdoctoral
research position in inverse problems at the Johannes Kepler Universitaet
in Linz, Austria, for about six months starting this October or November.
We are interested in researchers whose interests and experience match
ours closely enough for successful joint research to be possible within
this relatively short period. We are currently mostly interested in
regularization methods for nonlinear ill-posed inverse problems
(also large scale, in combination with efficient solvers for the
direct problems; see our WWW-page, address belo, for details).
Those who are interested and match these criteria should contact
me with details about their interest and experience urgently by

Heinz W. Engl

Prof.Dr.Heinz W. Engl E-Mail:
Industriemathematik or
Institut fuer Mathematik secretary:
Johannes-Kepler-Universitaet Phone: +43-(0)732-2468; ext.9219 or 693,
Altenbergerstrasse 69 secretary: 9220; home: +43-(0)732-245518
A-4040 Linz Fax: +43-(0)732-2468855
Oesterreich / Austria Telex: 2-2323 uni li a
World Wide Web:


From: Roland Vollmar <>
Date: Wed, 24 Jul 1996 11:23:32 +0200
Subject: Position at the University of Karlsruhe

An der Universitaet Karlsruhe (TH) ist die
Leitung des Universitaetsrechenzentrums
ab 1. Oktober 1997 (in der Nachfolge von Herrn Prof. Dr. A. Schreiner)
wieder zu besetzen.
Die Leitungsfunktion ist verbunden mit einer
Professur (C4) fuer "Rechnersysteme und Infrastruktur der
in deren Rahmen auch Aufgaben in Forschung und Lehre innerhalb einer der
Fakultaeten der Universitaet wahrzunehmen sind.
Das Rechenzentrum der Universitaet Karlsruhe ist eines der groessten seiner
Art; das Spektrum der Einrichtung reicht vom Supercomputer bis zur modernsten
Glasfaservernetzung. Es ist eine zentrale Einrichtung der Universitaet und hat
Aufgaben im Bereich der Kommunikationssysteme, des Hoechstleistungsrechnens,
der zentralen und dezentralen Dienste zu erfuellen.
Erwartet werden hervorragende wissenschaftliche Qualifikation und besondere
Erfahrungen in der Personalfuehrung und im Management wissenschaftlicher
Projekte in entsprechenden Positionen der Wirtschaft oder des Wissenschafts-
Die Hochschule ist bestrebt, den Anteil von Professorinnen zu erhoehen und
begruesst deshalb die Bewerbung von Frauen.
Bewerbungen mit detaillierter Darstellung des beruflichen Werdegangs (Veroef-
fentlichungen, Projekte und Lehrtaetigkeit) werden
bis zum 27. September 1996
erbeten an den Vorsitzenden der Berufungskommission, Prof. Dr. R. Vollmar,
Am Fasanengarten 5, D-76128 Karlsruhe, Tel.: (++49 721)6084312,
Fax: (++49 721)698675, email:


From: Richard Brualdi <>
Date: Wed, 24 Jul 1996 14:34:50 -0500 (CDT)
Subject: Contents, Linear Algebra and its Applications

Contents of volume 240

Arioli, M., Codenotti, B., and Fassino, C.: The Pade Method for Computing
the Matrix Exponential, 240:111_130
Botha, J. D.: Factorizations of a Matrix Into Symmetric Matrices With
Prescribed Nullities, 240:79_86
Carvalho, L. A. V.: On Quadratic Liapunov Functionals for Linear Difference
Equations, 240:41_64
Chalmers, B. L. and Shekhtman, B.: Extension Constants of Unconditional
Two -Dimensional Operators, 240:173_182
Codenotti, B.: See Arioli M.
Cohen.: An Algebraic Approach to Certain Differential Eigenvalue Problems,
240: 183_198
Fassino, C.: See Arioli M.
Gibson, Peter M.: Sign-Nonsingular Skew-Symmetric Matrices, 240:207_229
Hofmeister, Thomas and Lefmann, Hanno: Computing Sparse Approximations
Deterministically, 240:9_19
Horn, Roger A., Li, Chi-Kwong, and Merino, Dennis I.: Distances Between the
Graphs of Matrices, 240:65_77
Johnson, Charles R. and Zhang, Fuzhen: An Operator Inequality and Matrix
Normality, 240:105_110
Kalantari, Bahman and Khachiyan, Leonid: On the Complexity of Nonnegative-
Matrix Scaling, 87_103
Khachiyan, Leonid: See Kalantari, Bahman
Lefmann, Hanno: See Hofmeister, Thomas
Li, Chi-Kwong: See Horn, Roger A.
Maesumi, Mohsen: An Efficient Lower Bound for the Generalized Spectral
Radius of a Set of Matrices, 240:1_7
Merino, Dennis I.: See Horn, Roger A.
Neumaier, Arnold: See Olschowka, Markus
Olschowka, Markus and Neumaier, Arnold: A New Pivoting Stragegy for Gaussian
Elimination, 240:131_151
Shekhtman, B.: See Chalmers, B. L.
Stoorvogel, Anton A.: Stabilizing Solutions of the H=8C Algebraic Riccati
Equation, 240:153_172
Strakos_, Zdene_k: Review of Iterative Solution Methods, by O. Axelsson,
Wang, Jin-Hsien: Factorization of Matrices Into Quadratic Ones. III,

Contents of volume 241-3
Proceedings of the Fourth Conference of the International Linear Algebra
Society (Rotterdam, 1994)

Daniel Alpay (Beer-Sheva, Israel) and Harry Dym (Rehovot, Israel): On a
New Class of Realization Formulas and Their Application
P. Amodio (Bari, Italy) and M. Paprzycki (Odessa, Texas): Parallel Solution
of Almost Block Diagonal Systems on a Hypercube
T. Ando (Sapporo, Japan): Hadamard Products and Golden_Thompson Type
Joseph A. Ball (Blacksburg, Virginia) and Jeongook Kim (Kwangju, Korea):
Bitangential Interpolation Problems for Symmetric Rational Matrix Functions
A. Ben Artzi (Tel-Aviv, Israel) and I. Gohberg (Ramat-Aviv, Israel): Monotone
Power Method in Indefinite Metric and Inertia Theorem for Matrices
Rafael Cant (Valncia, Spain) and Joan-Josep Climent (Alacant, Spain):
Singular Graph and Extension of Jordan Chains of an M-Matrix
Luz M. DeAlba (Des Moines, Iowa): Inertia of the Stein Transformation With
Respect to Some Nonderogatory Matrices
G. N. de Oliveira (Coimbra, Portugal): Linear Preservers of Schur Functions
J. A. Dias da Silva (Lisboa, Portugal): Multilinear Algebra: Recent
Robert L. Ellis (College Park, Maryland), Israel Gohberg (Ramat Aviv, Israel)
and David C. Lay (College Park, Maryland): On a Class of Block Toeplitz
Sven Feldmann (Leipzig, Germany) and Georg Heinig (Safat, Kuwait): Vander-
monde Factorization and Canonical Representations of Block Hankel Matrices
J. Ferrer and Ma. I. Garca-Planas (Barcelona, Spain): Structural Stability
of Quadruples of Matrices
G. Freiling, G. Jank (Aachen, Germany), and H. Abou-Kandil (Cachan, France):
Generalized Riccati Difference and Differential Equations
Shmuel Friedland (Chicago, Illinois): Discrete Groups of Unitary Isometries
and Balls in Hyperbolic Manifolds
K. A. Gallivan, S. Thirumalai (Urbana, Illinois), P. Van Dooren, and V.
Vermaut (Louvain, Belgium): High Performance Algorithms for Toeplitz and
Block Toeplitz Matrices
S. Gonze1lez, J. C. Gutirrez, and C. Martnez (Oviedo, Spain): On Regular
Bernstein Algebras
Bernard Hanzon (Amsterdam, The Netherlands) and Ralf L. M. Peeters
(Maastricht, The Netherlands): A Faddeev Sequence Method for Solving
Lyapunov and Sylvester Equations
Daniel Hershkowitz (Haifa, Israel), Wenchao Huang (Madison, Wisconsin),
Michael Neumann (Storrs, Connecticut), and Hans Schneider (Madison,
Wisconsin): Minimization of Norms and the Spectral Radius of a Sum of
Nonnegative Matrices Under Diagonal Equivalence
O. V. Holtz and V. A. Strauss (Chelyabinsk, Russia): Classification of
Normal Operators in Spaces With Indefinite Scalar Product of Rank 2
Matthew Hudelson (Pullman, Washington), Victor Klee (Seattle, Washington),
and David Larman (London, England): Largest j-Simplices in d-Cubes: Some
Relatives of the Hadamard Maximum Determinant Problem
Yasuhiko Ikebe (Fukushima, Japan), Nobuyoshi Asai, Yoshinori Miyazaki, and
DongSheng Cai (Tsukuba City, Ibaraki, Japan): The Eigenvalue Problem for
Infinite Complex Symmetric Tridiagonal Matrices With Application
Hiroshi Inaba and Weiben Wang (Saitama, Japan): Block Decoupling for Linear
Systems Over Rings
Charles R. Johnson (Williamsburg, Virginia), Raphael Loewy (Haifa, Israel),
D. D. Olesky, and P. van den Driessche (Victoria, British Columbia,
Canada: Maximizing the Spectral Radius of Fixed Trace Diagonal Perturbations
of Nonnegative Matrices
Charles R. Johnson (Williamsburg, Virginia) and Ronald L. Smith (Chattanooga,
Tennessee): The Completion Problem for M-Matrices and Inverse M-Matrices
D. S. Johnson, A. C. Pugh (Loughborough, United Kingdom), E. Rogers (South
Hampton, United Kingdom), G. E. Hayton (Leeds, United Kingdom), and D. H.
Owens (Exeter, United Kingdom): A Polynomial Matrix Theory for a Certain
Class of Two-Dimensional Linear Systems
Nicos Karcanias and John Leventides (London, United Kingdom): Grassmann
Invariants, Matrix Pencils, and Linear System Properties
Jos Mas (Valncia, Spain), Violeta Migalln, Jos Penades (Alacant, Spain),
and Daniel B. Szyld (Philadelphia, Pennsylvania): Nonstationary
Parallel Relaxed Multisplitting Methods
Volker Mehrmann (Chemnitz, Federal Republic of Germany): A Step Toward a
Unified Treatment of Continuous and Discrete Time Control Problems
J. J. Seidel (Eindhoven, The Netherlands): A Sound Equilibrium for Linear
V. Simoncini (Bologna, Italy): Ritz and Pseudo-Ritz Values Using Matrix
Garret Sobczyk (Puebla, M=E9xico): Structure of Factor Algebras and
Clifford Algebra
Ji-guang Sun (Ume=E5, Sweden): Perturbation Analysis of System Hessenberg
and Hessenberg- Triangular Forms
B. Uhrin (Budapest, Hungary): Inner Aperiodicities and Partitions of Sets
David S. Watkins (Pullman, Washington): The Transmission of Shifts and
Shift Blurring in the QR Algorithm
H. Bart (Rotterdam, The Netherlands), M. A. Kaachoek, and A. C. M. Ran
(Amsterdam, The Netherlands): Conference Report
Author Index
Zha, Hongyuan: A Note on the Existence of the Hyperbolic Singular Value
Decomposition, 240:199_205

Contents of Volume 244

Shu-Chu Chang (Taiwan, Republic of China)
Double Coset Decomposition for SL (r + s, Z) With Respect to Congruence
Subgroups 1
Jian Shen (Anhui, The People's Republic of China)
Some Estimated Formulas for the Frobenius Numbers 13
Jian Shen (Anhui, The People's Republic of China)
A Bound on the Exponent of Primitivity in Terms of Diameter 21
Luca Dieci (Atlanta, Georgia)
Considerations on Computing Real Logarithms of Matrices,
Hamiltonian Logarithms, and Skew-Symmetric Logarithms 35
Ji-guang Sun (Ume, Sweden)
On Two Functions of a Matrix With Positive Definite Hermitian Part 55
Guoliang Chen, Musheng Wei, and Yifeng Xue (Shanghai, China)
Perturbation Analysis of the Least Squares Solution in Hilbert Spaces 69
Dnes Petz (Budapest, Hungary)
Monotone Metrics on Matrix Spaces 81
Peter M. Gibson (Huntsville, Alabama)
Sign-Nonsingular Skew-Symmetric Matrices With the Most Nonzero Entries 97
Mei-Hsiu Chi (Chiayi, Taiwan)
The Long-Run Behavior of Markov Chains 111
David A. Gregory, Kevin N. Vander Meulen (Kingston, Ontario, Canada), and Bryan L. Shader (Laramie, Wyoming)
Skew Rank Decompositions 123
Zlatko Drmac (Boulder, Colorado)
On Relative Residual Bounds for the Eigenvalues of a Hermitian Matrix 155
Gong-ning Chen, Bin Zhao, and Hui-pin Zhang (Beijing, People's Republic of
China) The General Rational Interpolation Problem in the Scalar Case and
Its Hankel Vector 165
Ton Geerts (Maren-Kessel, The Netherlands)
Higher-Order Continuous-Time Implicit Systems: Consistency and Weak
Consistency, Impulse Controllability, Geometric Concepts, and Invertibility
Properties 203
Jian Shen (Anhui, The People's Republic of China)
A Problem on the Exponent of Primitive Digraphs 255
Nir Cohen (Haifa, Israel) and Jerome Dancis (College Park, Maryland)
Maximal Rank Hermitian Completions of Partially Specified Hermitian Matrices 265
Steve Kirkland (Regina, Saskatchewan, Canada)
On the Minimum Perron Value for an Irreducible Tournament Matrix 277
David London (Haifa, Israel)
On Diagonals of Matrices Doubly Stochastically Similar to a Given Matrix 305
Alexander Yastrebov (Yaroslavl, Russia)
On a Construction of the Cliffordean Algebra 341
William H. Pierce (Louisville, Kentucky)
A Self-Correcting Matrix Iteration for the Moore-Penrose Generalized Inverse 357
Diethard Klatte (Zrich, Switzerland) and Gisbert Thiere
(Halle, Germany)
A Note of Lipschitz Constants for Solutions of Linear Inequalities and Equations 365
Author Index 375


End of NA Digest