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25-29 June, 2001

Haifa, Israel
The conference will be held under the auspices of the Institute of Advanced Studies in Mathematics at the Technion and the International Linear Algebra Society. This is the 9th conference organized by ILAS since 1989. It is also the 12th conference in a sequence of matrix theory meetings organized by the Technion since 1984.
Organizing committee: Moshe Goldberg (co-chair), Daniel Hershkowitz (co-chair), Raphael Loewy (co-chair), Abraham Berman, Richard A. Brualdi, Ludwig Elsner, Leonid Lerer, David London, Uriel G. Rothblum and Abraham Zaks.
For further information :
Sylvia Schur (Secretary)
Department of Mathematics
Technion-Israel Insitutute of Technology
32000 Haifa, Israel
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PROGRAM (Updated June 10, 2001)
Monday, June 25
Benjamin Auditorium (Sego Wing)
08:15-09:15 Registration
09:15-09:30 Greetings and Opening Remarks
Morning session
Benjamin Auditorium (Sego Wing)
09:30-10:10 Lloyd N. Trefethen (Oxford, UK)
LAA Lecturer
Stability of Gaussian elimination
10:15-10:55 Bryan Shader (Laramie, Wyoming)
Sign-solvability revisited
11:00-11:30 ![]()
11:30-12:10 Alfred M. Bruckstein (Haifa, Israel)
On sparse representations in pairs of orthonormal bases
12:15-12:55 Gene Golub (Stanford, California)
Numerical methods for solving least squares problems with constraints
Afternoon session
Benjamin Auditorium (Sego Wing)
14:30-15:10 Ravindra B. Bapat (New Delhi, India)
Determinantal and permanental extension of the Jacobi formula
15:15-15:55 Ingram Olkin (Stanford, California)
On the intersection between properties of normal variables and matrix theory: An
historical documentary
16:00-16:30 ![]()
Parallel session I
Minisymposium on Linear Algebra in Statistics
(Organizer: Hans Joachim Werner)
Benjamin Auditorium (Sego Wing)
16:30-16:55 Jerzy K. Baksalary (Zielona Gora, Poland)
Commutativity of projectors
17:00-17:25 Adi Ben-Israel (Piscataway, New Jersey)
Applications of generalized inverses
17:30-17:55 Oskar Maria Baksalary (Poznan, Poland)
Idempotency of linear combinations of an idempotent matrix with a tripotent one
18:00-18:25 Hans Joachim Werner (Bonn, Germany)
The equality of linear transforms of the ordinary least squares estimator and the best
linear unbiased estimator
Parallel session II
Room 231 Amado Mathematics Building
16:30-16:55 Joseph A. Ball (Blacksburg, Virginia)
On a bitangential interpolation problem for contractive valued functions on the unit ball
17:00-17:25 Roger A. Horn (Salt Lake City, Utah)
Primarily about matrix functions
17:30-17:55 Sven Feldman (Kaiserslautern, Germany)
Parameter influence on the spectrum of index-2-matrix polynomials
18:00-18:25 Dubi Chen (Beer Sheva, Israel)
Boundary interpolation in the ball
Parallel session III
Room 232 Amado Mathematics Building
16:30-16:55 Bit-Shun Tam (Tamkang, Taiwan)
On semipositive bases for a cone-preserving map
17:00-17:25 S.V. Savchenko (Moscow, Russia)
The Perron-Frobenius theory inside the spectral circle
17:30-17:55 Michael Neumann (Storrs, Connecticut)
On a strong form of the Boyle-Handelman Conjecture
18:00-18:25 Judith J. McDonald (Regina, Canada)
Eventually nonnegative matrices
Parallel session IV
Room 814 Amado Mathematics Building
16:30-16:55 Frank Uhlig (Auburn, Alabama)
Matrix solutions to the patently erroneous "identity" (A+B)k = Ak
+ Bk
17:00-17:25 Hiroshi Inaba (Tokyo, Japan)
A note on nonlinear observers for perspective linear systems
17:30-17:55 Susana Furtado (Porto, Portugal)
Products of real matrices with prescribed characteristic polynomials
18:00-18:25 Miroslav Fiedler (Prague, Czech Republic)
Small-parametric classes of matrices
Parallel session V
Room 619 Amado Mathematics Building
16:30-16:55 Achiya Dax (Jerusalem, Israel)
An
open question on the convergence of certain relaxation methods
17:00-17:25 Andre Klein (Amsterdam, The Netherlands)
On Stein's equation and Fisher's information matrix of Armax processes
17:30-17:55 Lev Krukier (Rostov-on-Don, Russia)
Iterative methods for strongly nonsymmetric linear systems using skew-symmetric part of
the matrix
18:00-18:25 Sanja Singer (Zagreb, Croatia)
Overview of the indefinite QR factorization
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18:30 Reception, Amado Mathematics Building 3rd floor terrace
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Tuesday, June 26
Morning session
Benjamin Auditorium (Sego Wing)
09:00-09:40 Stephen Kirkland (Regina, Canada)
Taussky-Todd
Lecturer
Extremizing
algebraic properties of tournament matrices
09:45-10:25 Andre Ran (Amsterdam, The Netherlands)
Symmetric factorizations, Riccati equations and bezoutians
10:30-11:00 ![]()
Parallel session I
Minisymposium on Matrix Functions
(Organizers: Lancaster, Psarrakos and Rodman)
Benjamin Auditorium (Sego Wing)
11:00-11:25 Peter Lancaster (Calgary, Canada)
Eigenvalues on the boundary of the numerical range of matrix and operator functions
11:30-11:55 Alexander Markus (Beer Sheva, Israel)
Partial indices of matrix functions and their perturbations
12:00-12:25 Panayiotis J. Psarrakos (Athens, Greece)
On numerical range of matrix polynomials
Parallel session II
Room 231 Amado Mathematics Building
11:00-11:25 Isabel Garcia-Planas (Barcelona, Spain)
Second degree polynomial matrices. Application to singular systems
11:30-11:55 Ricardo Soares Leite (Rio de Janeiro,
Brazil)
Parametrizations by polytopes of intersersection of orbits by conjugation
12:00-12:25 Harm Bart (Rotterdam, The Netherlands)
Continuity of the trace on sets of finite rank operators
12:30-12:55 Tatjana Petek (Maribor, Slovenia)
Mappings preserving similarity on B(H)
Parallel session III
Room 232 Amado Mathematics Building
11:00-11:25 Richard A. Brualdi (Madison, Wisconsin)
Majorization-constrained doubly stochastic matrices
11:30-11:55 William Watkins (Northridge, California)
D-Optimal weighing design matrices
12:00-12:25 Gi-Sang Cheon (Pocheon, South Korea)
Permanents of woven matrices
12:30-12:55 Jane M. Day (San Jose, California)
An algorithm for completing a partial vector to be controllable
Parallel session IV
Room 814 Amado Mathematics Building
11:00-11:25 Enide Martins (Aveiro, Portugal)
On the number of invariant polynomials of Jordan products
11:30-11:55 Amit Bhaya (Rio de Janeiro, Brazil)
Classes of stable matrices from the perspective of set products
12:00-12:25 Izchak Lewkowicz (Beer Sheva, Israel)
Convex invertible cones and positive real analytic functions
12:30-12:55 Tsuyoshi Ando (Sapporo, Japan)
Set of matrices with common Lyapunov solution
Parallel session V
Room 619 Amado Mathematics Building
11:00-11:25 Daniel B. Szyld (Philadelphia, Pennsylvania)
Some experiments with flexible QMR for nonsymmetric linear systems
11:30-11:55 Ludwig Elsner (Bielefeld, Germany)
Convergent infinite products of matrices
12:00-12:25 Delin Chu (Singapore)
Computing the SVD of a general matrix product/quotient by a QR-type
method
12:30-12:55 Sasa Singer (Zagreb, Croatia)
Simplectic QR factorization
Afternoon session
Benjamin Auditorium (Sego Wing)
14:30-15:10 Charles R. Johnson (Williamsburg, Virginia)
Graphs, eigenvalues and multiplicities
15:15-15:55 James R. Bunch (San Diego, California)
A conceptual framework for consistency, conditioning, and stability
16:00-16:30 ![]()
16:30-17:10 Daniel Alpay (Beer Sheva, Israel)
Interpolation problems in the ball and associated finite dimensional reproducing kernel
Hilbert spaces
17:15-17:55 Reinhard Nabben (Bielefeld, Germany)
Algebraic theory of multiplicative and additive Schwarz methods
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18:00 ILAS Business Meeting, Benjamin Auditorium
Wednesday, June 27
Morning session
Benjamin Auditorium (Sego Wing)
09:00-09:40 Paul A. Fuhrmann (Beer Sheva, Israel)
On equivalence and similarity
09:45-10:25 Leiba Rodman (Williamsburg, Virginia)
Indefinite inner products
10:30-11:00 ![]()
Parallel session I
Minisymposium on Matrix Functions (continued)
Benjamin Auditorium (Sego Wing)
11:00-11:25 Yuri Lyubich (Haifa, Israel)
Extreme points of the intersection and the convex hull of some matrix balls
11:30-11:55 John Maroulas (Athens, Greece)
On compressions of normal matrices
12:00-12:25 Victor Vinnikov (Beer Sheva, Israel)
Commuting rational matrix functions
Parallel session II
Room 231 Amado Mathematics Building
11:00-11:25 Michael Tsatsomeros (Regina, Canada)
Common invariant subspaces and cones
11:30-11:55 Wai-Leong Chooi (Cyberjaya, Malaysia)
Coherence invariant mappings on block triangular spaces
12:00-12:25 Jeff Stuart (Hattiesburg, Mississippi)
Stability of the optimal partition for asymptotic linear programming
12:30-12:55 Christian Mehl (Berlin, Germany)
On matrices with a double structure
Parallel session III
Room 232 Amado Mathematics Building
11:00-11:25 Rosario Fernandes (Lisbon, Portugal)
On the covering number of a matroid element
11:30-11:55 Jose Antonio Perdigao Dias Da Silva
(Lisbon, Portugal)
Colorings and equality of tensors
12:00-12:25 Albert Compta (Barcelona, Spain)
Miniversal deformations of marked matrices
Parallel session IV
Room 814 Amado Mathematics Building
11:00-11:25 Alexander Guterman (Moscow, Russia)
Linear preservers for star partial order
11:30-11:55 Leo Livshits (Waterville, Maine)
On decomposable semigroups of nonnegative matrices satisfying An=A
12:00-12:25 Gordon MacDonald (Charlottetown, Canada)
N-transitivity and the complementation property
12:30-12:55 Cornelis Van der Mee (Cagliari, Italy)
Spectral factorization of multi-index block Laurent matrices
Parallel session V
Room 619 Amado Mathematics Building
11:00-11:25 Nir Cohen (Campinas, Brazil)
Tournament matrices and flag manifolds
11:30-11:55 Martine Reurings (Amsterdam, The
Netherlands)
A nonlinear matrix equation
12:00-12:25 James R. Weaver (Pensacola, Florida)
The Brualdi-Li characteristic polynomial
13:30 Afternoon tour of Haifa

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Thursday, June 28
Morning session
Benjamin Auditorium (Sego Wing)
09:00-09:40 Karl-Heinz Foerster (Berlin, Germany)
Expansion graphs and matrix polynomials
09:45-10:25 Frank Uhlig (Auburn, Alabama)
A
balanced approach to teaching linear algebra
10:30-11:00 ![]()
Parallel session I
Minisymposium on Education in Linear Algebra
(Organizers: Dreyfuss and Eisenberg)
Benjamin Auditorium (Sego Wing)
11:00-11:05 Theodore Eisenberg (Beer Sheva, Israel)
Introduction
11:05-11:30 Paul A. Fuhrmann (Beer Sheva, Israel)
Linear algebra -- a dialogue with Euclid
11:30-11:55 Dvora Peretz (Beer Sheva, Israel)
A model of abstraction processes during the learning of a mathematical concept
11:55-12:20 Orit Hazzan (Haifa, Israel)
Learning linear algebra with computer algebra systems: A constructivist perspective
12:20-12:45 Nira Hativa (Tel Aviv, Israel)
Some aspects of effective mathematics teaching: Increasing clarity of explanations
12:45-13:00 General discussion
Parallel session II
Room 231 Amado Mathematics Building
11:00-11:25 Shmuel Friedland (Chicago, Illinois)
Generalizations of the odd degree polynomial theorem and applications
11:30-11:55 Pavel Chebotarev (Moscow, Russia)
Out forests of a digraph and Markov chain probabilities
12:00-12:25 Bertram Mond (Melbourne, Australia)
Ratio and difference matrix inequalities
12:30-12:55 Pavel Chebotarev (Moscow, Russia)
On the generalized inverses of the Kirchhoff matrix
Parallel session III
Room 232 Amado Mathematics Building
11:00-11:25 Vladimir V. Sergeichuk (Kiev, Ukraine)
Canonical matrices for linear matrix problems
11:30-11:55 Ferran Puerta (Barcelona, Spain)
On the minimal dimension (A,B)-invariant subspaces containing a given subspace
12:00-12:25 Yuli Eidelman (Tel Aviv, Israel)
Factorization and inversion algorithms for a class of block structured matrices
12:30-12:55 H. Turgay Kaptanoglu (Ankara, Turkey)
Integral inner products in the sub-hardy Hilbert space on the ball with reproducing kernel
1/(1-<z,w>)
Parallel session IV
Room 814 Amado Mathematics Building
11:00-11:25 Kazuyoshi Okubo (Sapporo, Japan)
Uniqueness of matrix square roots under a numerical range condition
11:30-11:55 Gloria Cravo (Madeira, Portugal)
Eigenvalues of matrices with a prescribed diagonal of blocks
12:00-12:25 Lee Sang-Gu (Suwon, Republic of Korea)
The Binet formula and representations of K-generalized Fibonacci numbers
Parallel session V
Room 619 Amado Mathematics Building
11:00-11:25 Xingzhi Zhan (Beijing, China)
Inequalities involving unitarily invariant norms and operator monotone functions
11:30-11:55 Konstantin Avrachenkov (Sophia Antipolis,
France)
Inversion of analytic matrix functions that are singular at the origin
12:00-12:25 Panayiotis J. Psarrakos (Athens, Greece)
Numerical range of linear pencils
Afternoon session
Benjamin Auditorium (Sego Wing)
14:30-15:10 Harry Dym (Rehovot, Israel)
Inverse input scattering problems for canonical systems with Wiener and rational data
15:15-15:55 Joao Filipe Queiro (Coimbra, Portugal)
Gelfand and Bernstein numbers
16:00-16:30 ![]()
16:30-17:10 Roy Meshulam (Haifa, Israel)
Group algebras and expanders
17:15-17:55 Gil Kalai (Jerusalem, Israel)
Algebraic shifting
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20:00
Banquet, Forcheimer Faculty
Center
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Friday, June 29
Morning session
Benjamin Auditorium (Sego Wing)
09:00-09:40 Jia-Yu Shao (Shanghai, China)
Matrices with signed generalized inverses
09:45-10:25 Peter Semrl (Ljubljana, Slovenia)
Hua's fundamental theorem of the geometry of matrices and related results
10:30-11:00 ![]()
11:00-11:40 Vadim Olshevsky (Atlanta, Georgia)
Potpourri on structured matrices
11:45-12:25 Uri Elias (Haifa, Israel)
Non-linear eigenvalue problems for strictly totally positive matrices
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