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Owe Axelsson Conjugate Gradient Type Methods for
Unsymmetric and Inconsistent Systems of
Linear Equations . . . . . . . . . . . . 1--16
Richard Bartels A penalty linear programming method
using reduced-gradient basis-exchange
techniques . . . . . . . . . . . . . . . 17--32
Richard A. Brualdi and
Jeffrey A. Ross On Ryser's maximum term rank formula . . 33--38
K. A. Bush On Hadamard embeddability . . . . . . . 39--52
Randall E. Cline and
T. N. E. Greville A Drazin inverse for rectangular
matrices . . . . . . . . . . . . . . . . 53--62
Jane Cullum and
Ralph A. Willoughby The Lanczos phenomenon---an
interpretation based upon conjugate
gradient optimization . . . . . . . . . 63--90
P. Deuflhard and
W. Sautter On rank-deficient pseudoinverses . . . . 91--111
Emeric Deutsch On certain generalized matrix norms . . 113--129
Gernot M. Engel and
Hans Schneider Matrices diagonally similar to a
symmetric matrix . . . . . . . . . . . . 131--138
R. Fletcher and
D. F. Griffiths The generalized eigenvalue problem for
certain unsymmetric band matrices . . . 139--149
A. E. Frey and
C. A. Hall and
T. A. Porsching Numerical integration and the constant
strain condition . . . . . . . . . . . . 151--159
Robert Grone Certain isometries of rectangular
complex matrices . . . . . . . . . . . . 161--171
S. K. Jain and
V. K. Goel Nonnegative matrices having nonnegative
Drazin pseudoinverses . . . . . . . . . 173--183
E. C. Johnsen Stochastic matrices. I. Similarity via
stochastic transforms . . . . . . . . . 185--193
Thomas J. Laffey Simultaneous triangularization of a pair
of matrices whose commutator has rank
two . . . . . . . . . . . . . . . . . . 195--203
Anna Lee Centro-Hermitian and
skew-centro-Hermitian matrices . . . . . 205--210
Raphael Loewy Quadratic forms on completely symmetric
spaces . . . . . . . . . . . . . . . . . 211--216
Massoud Malek-Shahmirzadi Application of Neumann's lemma to the
minimum and characteristic polynomials 217--224
Russell Merris Pattern inventories associated with
symmetry classes of tensors . . . . . . 225--230
W. L. Miranker and
V. Ya. Pan Methods of Aggregation . . . . . . . . . 231--257
Igor Najfeld and
Richard A. Vitale and
Philip J. Davis Minkowski iteration of sets . . . . . . 259--291
Dianne P. O'Leary The Block Conjugate Gradient Algorithm
and Related Methods . . . . . . . . . . 293--322
B. N. Parlett A new look at the Lanczos algorithm for
solving symmetric systems of linear
equations . . . . . . . . . . . . . . . 323--346
A. Duane Porter and
Nick Mousouris Exponential sums and rectangular
partitions . . . . . . . . . . . . . . . 347--355
Vlastimil Pták and
N. J. Young Functions of operators and the spectral
radius . . . . . . . . . . . . . . . . . 357--392
F. Robert Iterations sur des ensembles finis et
automates cellulaires contractants.
(French) [Iterations of finite sets and
cellular automata contractors] . . . . . 393--412
Donald W. Robinson The Frobenius rank equality for
morphisms . . . . . . . . . . . . . . . 413--421
Donald J. Rose Matrix identities of the Fast Fourier
Transform . . . . . . . . . . . . . . . 423--443
Uriel G. Rothblum Bounds on the indices of the
spectral-circle eigenvalues of a
nonnegative matrix . . . . . . . . . . . 445--450
H. J. Ryser A theorem in combinatorial matrix theory 451--458
Olga Taussky More on norms from algebraic number
fields, commutators and matrices which
transform a rational matrix into its
transpose . . . . . . . . . . . . . . . 459--464
H. K. Wimmer Two linear equations in formal power
series . . . . . . . . . . . . . . . . . 465--469
Henry Wolkowicz and
George P. H. Styan Bounds for eigenvalues using traces . . 471--506
H. Wo\'zniakowski Roundoff Error Analysis of a New Class
of Conjugate Gradient Algorithms . . . . 507--529
Anonymous Author index to volume 29 . . . . . . . 531--532
Anonymous Editorial Board . . . . . . . . . . . . ??
M. Kojima and
R. Saigal A property of matrices with positive
determinants . . . . . . . . . . . . . . 1--8
M. Deza and
I. G. Rosenberg Generalized intersection patterns and
two-symbol balanced arrays . . . . . . . 9--40
Mordechai Lewin and
Michael Neumann On the inverse ${M}$-matrix problem for
$(0,1)$-matrices . . . . . . . . . . . . 41--50
C. D. Godsil and
B. D. McKay Feasibility conditions for the existence
of walk-regular graphs . . . . . . . . . 51--61
Kiran Chandra Das and
Mary Embry-Wardrop Orthogonality and the numerical range.
II . . . . . . . . . . . . . . . . . . . 63--67
T. T. Ha and
J. A. Gibson A note on the determinant of a
functional confluent Vandermonde matrix
and controllability . . . . . . . . . . 69--75
K. Truemper Complement total unimodularity . . . . . 77--92
T. W. Anderson and
John B. Taylor An inequality for a sum of quadratic
forms with applications to probability
theory . . . . . . . . . . . . . . . . . 93--99
Peter M. Gibson Generalized doubly stochastic and
permutation matrices over a ring . . . . 101--107
Vlastimil Dlab and
Claus Michael Ringel A remark on normal forms of matrices . . 109--114
A. Hadjidimos and
A. Yeyios The principle of extrapolation in
connection with the accelerated
overrelaxation method . . . . . . . . . 115--128
Ronald I. Becker Necessary and sufficient conditions for
the simultaneous diagonability of two
quadratic forms . . . . . . . . . . . . 129--139
J. K. Baksalary and
R. Kala The matrix equation $A X B + C Y D = E$ 141--147
Wallace C. Pye Nonnegative Drazin inverses . . . . . . 149--153
Ken Byrd and
Theresa P. Vaughan A group of integral points in a matrix
parallelepiped . . . . . . . . . . . . . 155--166
Ralph Howard Linear maps that preserve matrices
annihilated by a polynomial . . . . . . 167--176
Massoud Malek-Shahmirzadi On a conjecture by D. \vZ. Djokovi\'c 177--182
K. Bolling Farmer and
Mark P. Hale, Jr. Dual affine geometries and alternative
bilinear forms . . . . . . . . . . . . . 183--199
D. J. Hartfiel Concerning the interior of the
${D}$-stable matrices . . . . . . . . . 201--207
Bryan E. Cain Inertia theory . . . . . . . . . . . . . 211--240
Robert M. Guralnick A note on the local-global principle for
similarity of matrices . . . . . . . . . 241--245
Morris Newman Ger\vsgorin revisited . . . . . . . . . 247--249
Anonymous Author index to volume 30 . . . . . . . 251--251
Anonymous Editorial Board . . . . . . . . . . . . ??
Henry Wolkowicz and
George P. H. Styan More bounds for eigenvalues using traces 1--17
M. D. Atkinson and
S. Lloyd Bounds on the ranks of some $3$-tensors 19--31
Leiba Rodman On connected components in the set of
divisors of a monic matrix polynomial 33--42
Marc J. Lipman The linear index of a group
representation . . . . . . . . . . . . . 43--54
Norman Biggs Girth, valency, and excess . . . . . . . 55--59
J. C. Gower A modified Leverrier--Faddeev algorithm
for matrices with multiple eigenvalues 61--70
R. Bapat and
T. E. S. Raghavan On diagonal products of doubly
stochastic matrices . . . . . . . . . . 71--75
J. L. Lavoie A determinantal inequality involving the
Moore--Penrose inverse . . . . . . . . . 77--80
Neil L. White A unique exchange property for bases . . 81--91
J. B. Conway and
P. R. Halmos Finite-dimensional points of continuity
of Lat . . . . . . . . . . . . . . . . . 93--102
Achim Bachem and
Bernhard Korte Minimum norm problems over
transportation polytopes . . . . . . . . 103--118
L. J. Gray and
D. G. Wilson Nonnegative factorization of positive
semidefinite nonnegative matrices . . . 119--127
Marvin Marcus and
Kenneth Moore A subdeterminant inequality for normal
matrices . . . . . . . . . . . . . . . . 129--143
Paul R. Beesack The spread of matrices and polynomials 145--149
Zdislav V. Kovarik Manifolds of frames of projectors . . . 151--158
Uri Leron Matrix methods in decompositions of
modules . . . . . . . . . . . . . . . . 159--171
Chandler Davis Extending the Kantorovi\vc inequality to
normal matrices . . . . . . . . . . . . 173--177
Pedro Nowosad and
Raul Tovar Spectral inequalities and $G$-functions 179--197
Ph. Delsarte and
Y. Genin and
Y. Kamp A method of matrix inverse triangular
decomposition based on contiguous
principal submatrices . . . . . . . . . 199--212
Anonymous Letters in linear algebra . . . . . . . 213--214
I. M. Isaacs Automorphisms of matrix algebras over
commutative rings . . . . . . . . . . . 215--231
Jacques A. Ferland Positive subdefinite matrices . . . . . 233--244
Olga Taussky Some facts concerning integral
representations of the ideals in an
algebraic number field . . . . . . . . . 245--248
Anonymous Author index to volume 31 . . . . . . . 249--249
Anonymous Editorial Board . . . . . . . . . . . . ??
Anonymous Alston S. Householder award IV (1981) 1--1
J. F. Watters Block Triangularization of Algebras of
Matrices . . . . . . . . . . . . . . . . 3--7
Uwe Zimmermann Duality for Algebraic Linear Programming 9--31
Stephen B. Haley Solution of band matrix equations by
projection-recurrence . . . . . . . . . 33--48
Chien-Fu Wu On some ordering properties of the
generalized inverses of nonnegative
definite matrices . . . . . . . . . . . 49--60
David Towers Lie algebras all of whose proper
subalgebras are nilpotent . . . . . . . 61--73
Thomas H. Foregger On the minimum value of the permanent of
a nearly decomposable doubly stochastic
matrix . . . . . . . . . . . . . . . . . 75--85
Peter M. Gibson Permanental Polytopes of Doubly
Stochastic Matrices . . . . . . . . . . 87--111
Jochen Brüning and
Ki Hang Kim and
Fred N. Roush On a conjecture of S. V. Phadke and N.
K. Thakare: ``Generalized inverses and
operator equations'' [Linear Algebra
Appl. \bf 23 (1979), 191--199, MR
80b:47017] . . . . . . . . . . . . . . . 113--114
Robert Calderbank A Good Method of Combining Codes . . . . 115--124
Ture Damhus Complex conjugation of group
representations by inner automorphisms 125--135
John N. McDonald On some zero configurations associated
with the van der Waerden conjecture . . 137--155
Dragimir \vZ. Djokovi\'c and
J. Malzan Orbits of Nilpotent Matrices . . . . . . 157--158
C. S. Ballantine and
E. L. Yip Congruence and Conjunctivity of Matrices 159--198
Anonymous Letters in linear algebra . . . . . . . 199--200
N. G. de Bruijn Remarks on Hermitian Matrices . . . . . 201--208
Russell Merris Manifestations of Polya's Counting
Theorem . . . . . . . . . . . . . . . . 209--232
Anonymous Author index to volume 32 . . . . . . . 233--233
Anonymous Editorial board . . . . . . . . . . . . ??
Kentaro Nomakuchi On the characterization of generalized
inverses by bordered matrices . . . . . 1--8
Lajos László A bandstructure-invariant deflation for
real symmetric matrices . . . . . . . . 9--13
Franklin T. Luk and
Marcello Pagano Quadratic programming with
${M}$-matrices . . . . . . . . . . . . . 15--40
Jesús S.-Dehesa The eigenvalue density of rational
Jacobi matrices. II . . . . . . . . . . 41--55
C. G. Khatri Powers of matrices and idempotency . . . 57--65
J. D. McFall On elementary divisors of the tensor
product of two matrices . . . . . . . . 67--86
Ulrich Trottenberg and
Gerd Winter On faces and $W$-irreducible operators
in finite-dimensional linear spaces . . 87--109
Kai Wang Resultants and group matrices . . . . . 111--122
A. M. Galperin and
Z. Waksman On pseudoinverses of operator products 123--131
Yoshio Togawa A geometric study of the ${D}$-stability
problem . . . . . . . . . . . . . . . . 133--151
Anonymous Letters in linear algebra . . . . . . . 153--153
S. Barnett Review of \booktitleMathematics of
Finite-Dimensional Control Systems:
Theory and Design, by David L. Russell 155--158
Richard A. Brualdi Matrices of zeros and ones with fixed
row and column sum vectors . . . . . . . 159--231
Anonymous Author index to volume 33 . . . . . . . 233--233
Anonymous Editorial Board . . . . . . . . . . . . ??
Anonymous Special issue linear algebraic methods
in combinatorics/graph theory . . . . . iv--iv
Åke Björck and
Robert J. Plemmons and
Hans Schneider Preface . . . . . . . . . . . . . . . . 1--2
Gene H. Golub and
Robert J. Plemmons Large-Scale Geodetic Least-Squares
Adjustment by Dissection and Orthogonal
Decomposition . . . . . . . . . . . . . 3--28
Eric H. Grosse Tensor Spline Approximation . . . . . . 29--41
Å. Björck and
Iain S. Duff A Direct Method for the Solution of
Sparse Linear Least Squares Problems . . 43--67
Alan George and
Michael T. Heath Solution of sparse linear least squares
problems using Givens rotations . . . . 69--83
M. Neumann A combined direct-iterative approach for
solving large scale singular and
rectangular consistent systems of linear
equations . . . . . . . . . . . . . . . 85--101
Robert R. Bitmead and
Brian D. O. Anderson Asymptotically Fast Solution of Toeplitz
and Related Systems of Linear Equations 103--116
Bengt Aspvall and
Yossi Shiloach A fast algorithm for solving systems of
linear equations with two variables per
equation . . . . . . . . . . . . . . . . 117--124
John de Pillis How to embrace your spectrum for faster
iterative results . . . . . . . . . . . 125--143
Alan George and
Hamza Rashwan On Symbolic Factorization of Partitioned
Sparse Symmetric Matrices . . . . . . . 145--157
David M. Young and
Kang C. Jea Generalized Conjugate Gradient
Acceleration of Non- symmetrizable
Iterative Methods . . . . . . . . . . . 159--194
D. E. Longsine and
S. F. McCormick Simultaneous Rayleigh-quotient
minimization methods for $A x = \lambda
B x$ . . . . . . . . . . . . . . . . . . 195--234
C. C. Paige Accuracy and Effectiveness of the
Lanczos Algorithm for the Symmetric
Eigenproblem . . . . . . . . . . . . . . 235--258
E. Seneta Computing the stationary distribution
for infinite Markov chains . . . . . . . 259--267
Y. Saad Variations on Arnoldi's Method for
Computing Eigenelements of Large
Unsymmetric Matrices . . . . . . . . . . 269--295
Ikuyo Kaneko and
Jong Shi Pang Some $n$ by $dn$ linear complementarity
problems . . . . . . . . . . . . . . . . 297--319
Tommy Elfving On Some Methods for Entropy Maximization
and Matrix Scaling . . . . . . . . . . . 321--339
James R. Bunch and
Linda Kaufman A computational method for the
indefinite quadratic programming problem 341--370
Dianne Prost O'Leary A generalized conjugate gradient
algorithm for solving a class of
quadratic programming problems . . . . . 371--399
Anonymous Author index . . . . . . . . . . . . . . 401--401
Anonymous Subject index . . . . . . . . . . . . . 403--404
Anonymous Editorial Board . . . . . . . . . . . . ??
John A. Poluikis and
Richard D. Hill Completely positive and
Hermitian-preserving linear
transformations . . . . . . . . . . . . 1--10
Robert E. Jamison Finding little hyperplanes in bigger
ones . . . . . . . . . . . . . . . . . . 11--19
D. J. Hartfiel A general theory of measures for
nonnegative matrices . . . . . . . . . . 21--35
K. Bolling Farmer Hermitian geometries in projective space 37--50
J. K. Baksalary and
R. Kala Symmetrizers of matrices . . . . . . . . 51--62
Richard I. Loebl and
Vern I. Paulsen Some remarks on $C^*$-convexity . . . . 63--78
Bit Shun Tam On the semiring of cone preserving maps 79--108
K. K. Lau and
W. O. J. Riha Characterization of best approximations
in normed linear spaces of matrices by
elements of finite-dimensional linear
subspaces . . . . . . . . . . . . . . . 109--120
John B. Conway Finite-dimensional points of continuity
of Gen and Com . . . . . . . . . . . . . 121--127
Dragomir \vZ. Djokovi\'c Relations between reflections in the
unitary group and Hermitian
hyperquadrics in the complex projective
space . . . . . . . . . . . . . . . . . 129--153
A. Bunse-Gerstner An analysis of the $HR$ algorithm for
computing the eigenvalues of a matrix 155--173
Stephen L. Campbell and
George D. Poole Computing nonnegative rank
factorizations . . . . . . . . . . . . . 175--182
Eckart Gekeler On the pointwise matrix product and the
mean value theorem . . . . . . . . . . . 183--191
J. W. Neuberger Finite-dimensional potential theory
applied to numerical analysis of linear
systems . . . . . . . . . . . . . . . . 193--202
Frank Uhlig Inertia and eigenvalue relations between
symmetrized and symmetrizing matrices
for the real and the general field case 203--226
D. H. Martin and
D. H. Jacobson Copositive matrices and definiteness of
quadratic forms subject to homogeneous
linear inequality constraints . . . . . 227--258
Anonymous Letters in linear algebra . . . . . . . 259--260
N. J. Young The rate of convergence of a matrix
power series . . . . . . . . . . . . . . 261--278
Dennis R. Estes and
Olga Taussky Remarks concerning sums of three squares
and quaternion commutator identities . . 279--285
John R. Stembridge and
John Todd On a trigonometrical sum . . . . . . . . 287--291
G. P. Barker Review of \booktitleNonnegative Matrices
in the Mathematical Sciences, by Abraham
Berman and Robert J. Plemmons . . . . . 293--295
Anonymous Linear Algebra and Its Applications:
Referees for 1980 . . . . . . . . . . . 297--297
Anonymous Author index . . . . . . . . . . . . . . 298--298
Anonymous Announcement . . . . . . . . . . . . . . v--v
Anonymous Editorial Board . . . . . . . . . . . . ??
Harry Dym and
Israel Gohberg Extensions of band matrices with band
inverses . . . . . . . . . . . . . . . . 1--24
Rajendra Bhatia On the rate of change of spectra of
operators. II . . . . . . . . . . . . . 25--32
Stuart Goff Hermitian function matrices which
commute with their derivative . . . . . 33--40
C. Garola and
L. Solombrino Commutation in vector spaces over
division rings with a conjugation . . . 41--56
W. L. Miranker and
I.-L. Chern Dichotomy and conjugate gradients in the
stiff initial value problem . . . . . . 57--77
Luis Kramarz Algebraic perturbation methods for the
solution of singular linear systems . . 79--88
Pablo M. Salzberg The minimal generating space of a
polynomial . . . . . . . . . . . . . . . 89--96
Eurice de Souza and
S. P. Bhattacharyya Controllability and the linear equation
$A x = b$ . . . . . . . . . . . . . . . 97--101
Shmuel Friedland A generalization of the Motzkin--Taussky
theorem . . . . . . . . . . . . . . . . 103--109
Marvin Marcus and
Kenneth Moore A determinant formulation of the
Cauchy--Schwarz inequality . . . . . . . 111--127
L. László Matrix methods for polynomials . . . . . 129--131
Eugene D. Denman Roots of real matrices . . . . . . . . . 133--139
Joseph P. S. Kung The cycle structure of a linear
transformation over a finite field . . . 141--155
G. H. Chan and
M. H. Lim A conjecture involving generalized
matrix functions . . . . . . . . . . . . 157--163
Per A. Smeds Line digraphs and the Moore--Penrose
inverse . . . . . . . . . . . . . . . . 165--172
Jorma Kaarlo Merikoski On operator norms of submatrices . . . . 173--183
Anonymous Letters in linear algebra . . . . . . . 185--185
Diane Valérie Ouellette Schur complements and statistics . . . . 187--295
Anonymous Author index to volume 36 . . . . . . . 297--297
Anonymous Editorial Board . . . . . . . . . . . . ??
Miroslav Fiedler and
Russell Merris Irreducibility of associated matrices 1--10
Charles R. Johnson and
Herbert A. Robinson Eigenvalue inequalities for principal
submatrices . . . . . . . . . . . . . . 11--22
Charles R. Johnson Numerical ranges of principal
submatrices . . . . . . . . . . . . . . 23--34
Kai Wang On the generalization of a
retrocirculant . . . . . . . . . . . . . 35--43
Thomas J. Laffey Algebras generated by two idempotents 45--53
Krzysztof Ga\lkowski Three-way companion matrices of
three-variable polynomials . . . . . . . 55--75
George P. H. Styan On Lavoie's determinantal inequality . . 77--80
Miroslav Fiedler Geometry of the numerical range of
matrices . . . . . . . . . . . . . . . . 81--96
K. H. Kim and
F. W. Roush Generating all linear transformations 97--101
Nathan Friedman and
Abraham Boyarsky Irreducibility and primitivity using
Markov maps . . . . . . . . . . . . . . 103--117
D. de Caen and
D. A. Gregory Primes in the semigroup of Boolean
matrices . . . . . . . . . . . . . . . . 119--134
F. J. Henk Don and
Adriaan P. van der Plas A note on the characteristic polynomial
of the commutation matrix . . . . . . . 135--142
E. Marques de Sá On the inertia of sums of Hermitian
matrices . . . . . . . . . . . . . . . . 143--159
Bryan E. Cain and
E. Marques de Sá The inertia of a Hermitian matrix having
prescribed complementary principal
submatrices . . . . . . . . . . . . . . 161--171
Bryan E. Cain The inertia of a Hermitian matrix having
prescribed diagonal blocks . . . . . . . 173--180
N. J. Young A bound for norms of functions of
matrices . . . . . . . . . . . . . . . . 181--186
Thomas J. Laffey A note on matrix subalgebras containing
a full Jordan block . . . . . . . . . . 187--189
Thomas J. Laffey A criterion for generating full matrix
algebras . . . . . . . . . . . . . . . . 191--198
George Phillip Barker and
Bit-Shun Tam Graphs for cone preserving maps . . . . 199--204
Robert E. Hartwig Drazin inverses and canonical forms in
$M_n({\bf Z} / h)$. [A projection method
for the solution of a class of singular
integral equations whose symbol has
zeros of noninteger order] . . . . . . . 205--233
David London Monotonicity of permanents of certain
doubly stochastic circulant matrices . . 235--249
M. J. Leitman On the spectra of a family of positive
matrices . . . . . . . . . . . . . . . . 251--258
W.-H. Steeb The relation between the Kronecker
product, the trace calculation, and the
one-dimensional Ising model . . . . . . 261--265
H. J. Ryser Matrices and set intersections . . . . . 267--275
E. Seneta and
Suzanne Sheridan Strong ergodicity of nonnegative matrix
products . . . . . . . . . . . . . . . . 277--292
George D. Poole Review of \booktitleGeneralized Inverses
of Linear Transformations, by Stephen L.
Campbell and Carl D. Meyer, Jr. . . . . 293--295
Anonymous Author index to volume 37 . . . . . . . 297--297
Anonymous Editorial Board . . . . . . . . . . . . ??
Anonymous Linear control theory . . . . . . . . . 1--1
Hans Schneider and
Chandler Davis and
Walter Gautschi and
Olga Taussky Todd Honoring Alexander M. Ostrowski . . . . 3--3
H. J. Landau and
A. M. Odlyzko Bounds for eigenvalues of certain
stochastic matrices . . . . . . . . . . 5--15
Russell Merris and
William Watkins Elementary divisors of induced
transformations on symmetry classes of
tensors . . . . . . . . . . . . . . . . 17--26
A. Schrijver On total dual integrality . . . . . . . 27--32
Uriel G. Rothblum Resolvent Expansions of Matrices and
Applications . . . . . . . . . . . . . . 33--49
Jacques A. Ferland Matrix-theoretic criteria for the
quasiconvexity of twice continuously
differentiable functions . . . . . . . . 51--63
M. Barel and
A. Tamir Nested matrices and the existence of
least majorized elements . . . . . . . . 65--72
B. D. Craven and
B. Mond Linear programming with matrix variables 73--80
K. P. Hadeler and
G. Meinardus On the roots of Cauchy polynomials . . . 81--102
Jens Lorenz Resonance in equations with a diagonal
field . . . . . . . . . . . . . . . . . 103--107
Michael P. Mattis and
Harry Hochstadt On the construction of band matrices
from spectral data . . . . . . . . . . . 109--119
Roger Chalkley Information about group matrices . . . . 121--133
Erich W. Ellers and
Wolfgang Nolte Radical relations in orthogonal groups 135--139
Nathan Friedman and
Abraham Boyarsky Matrices and eigenfunctions induced by
Markov maps . . . . . . . . . . . . . . 141--147
E. A. Gunn and
G. J. Anders A comparison of interval linear
programming with the simplex method . . 149--159
Franklin T. Luk The community problem for Stieltjes
matrices . . . . . . . . . . . . . . . . 161--169
M. W. Jeter and
W. C. Pye A note on nonnegative rank
factorizations . . . . . . . . . . . . . 171--173
L. Auslander and
E. Feig and
S. Winograd Direct sums of bilinear algorithms . . . 175--192
John G. Kemeny Generalization of a fundamental matrix 193--206
Russel E. Caflisch An inverse problem for Toeplitz matrices
and the synthesis of discrete
transmission lines . . . . . . . . . . . 207--225
LeRoy B. Beasley Spaces of matrices of equal rank . . . . 227--237
Frank Uhlig Explicit polar decomposition and a
near-characteristic polynomial: the
$2\times 2$ case . . . . . . . . . . . . 239--249
Anonymous Letters in linear algebra . . . . . . . 251--252
Hans Schneider Geometric conditions for the existence
of positive eigenvalues of matrices . . 253--271
Russell Merris and
Kenneth R. Rebman and
William Watkins Permanental polynomials of graphs . . . 273--288
Stephen L. Campbell and
Carl D. Meyer, Jr. and
Nicholas J. Rose Results of an informal survey on the use
of linear algebra in industry and
government . . . . . . . . . . . . . . . 289--294
Anonymous Author index to volume 38, 1981 . . . . 295--295
J. H. van Lint Notes on Egoritsjev's proof of the van
der Waerden conjecture . . . . . . . . . 1--8
D. H. Martin Finite criteria for conditional
definiteness of quadratic forms . . . . 9--21
Frank J. Hall and
Irving J. Katz Nonnegative integral generalized
inverses . . . . . . . . . . . . . . . . 23--39
Muhamed Aganagic On diagonal dominance in linear
complementarity . . . . . . . . . . . . 41--49
D. H. Martin and
M. J. D. Powell and
D. H. Jacobson On a decomposition of conditionally
positive-semidefinite matrices . . . . . 51--59
Lawrence Crone Second order adjoint matrix equations 61--71
Vlastimil Pták An equation of Lyapunov type . . . . . . 73--82
Kai Wang On the group matrices for a generalized
dihedral group . . . . . . . . . . . . . 83--89
J. V. Brawley and
Max Hankins On distribution by rank of bases for
vector spaces of matrices over a finite
field . . . . . . . . . . . . . . . . . 91--101
Russell Merris Induced bases of symmetry classes of
tensors . . . . . . . . . . . . . . . . 103--110
Angelika Wörz-Busekros Relationship between genetic algebras
and semicommutative matrices . . . . . . 111--123
Robert E. Hartwig and
Mohan S. Putcha Semisimilarity for matrices over a
division ring . . . . . . . . . . . . . 125--132
C. Leary Bell Generalized inverses of circulant and
generalized circulant matrices . . . . . 133--142
Ji\vrí Rohn Interval linear systems with prescribed
column sums . . . . . . . . . . . . . . 143--148
Emeric Deutsch Nonnegative spectraloid matrices . . . . 149--154
Robert M. Guralnick Roth's theorems and decomposition of
modules . . . . . . . . . . . . . . . . 155--165
Eurice de Souza and
S. P. Bhattacharyya Controllability, observability and the
solution of ${AX}-{XB}={C}$ . . . . . . 167--188
Miroslav Fiedler Remarks on the Schur complement . . . . 189--195
Thomas L. Markham Class ${G}$, and a unification problem 197--204
M. Neumann The Kahan S.O.R. convergence bound for
nonsingular and irreducible
${M}$-matrices . . . . . . . . . . . . . 205--222
John D. Dixon On duality theorems . . . . . . . . . . 223--227
A. S. Cavaretta, Jr. and
W. A. Dahmen and
C. A. Micchelli and
P. W. Smith A factorization theorem for banded
matrices . . . . . . . . . . . . . . . . 229--245
Jean H. Bevis and
Frank J. Hall and
Irving J. Katz Integer generalized inverses of
incidence matrices . . . . . . . . . . . 247--258
James D. Stafney Correction to: ``Functions of a matrix
and their norms'' [Linear Algebra Appl.
\bf 20 (1978), no. 1, 87--94, MR \bf 57
#3162] . . . . . . . . . . . . . . . . . 259--260
Anonymous Letters in linear algebra . . . . . . . 261--262
George Phillip Barker Theory of cones . . . . . . . . . . . . 263--291
Stephen L. Campbell Review of \booktitleLinpack User's Guide
by J. J. Dongarra, C. B. Moler, J. R.
Bunch, and G. W. Stewart . . . . . . . . 293--294
Peter Lancaster Review of \booktitleMinimal
Factorization of Matrix and Operator
Functions, by H. Bart, I. Gohberg, and
M. A. Kaashoek . . . . . . . . . . . . . 295--296
Anonymous Author index to volume 39, 1981 . . . . 297--297
Anonymous Editorial Board . . . . . . . . . . . . ??
Rajendra Bhatia and
Shmuel Friedland Variation of Grassman powers and spectra 1--18
Randall E. Cline Note on an extension of the
Moore--Penrose inverse . . . . . . . . . 19--23
F. Alberto Grünbaum Toeplitz matrices commuting with
tridiagonal matrices . . . . . . . . . . 25--36
P. P. B. Eggermont and
G. T. Herman and
A. Lent Iterative algorithms for large
partitioned linear systems, with
applications to image reconstruction . . 37--67
R. K. S. Rathore and
C. S. K. Chetty Some angularity and inertia theorems
related to normal matrices . . . . . . . 69--77
Friedrich W. Biegler-König Construction of band matrices from
spectral data . . . . . . . . . . . . . 79--87
Friedrich W. Biegler-König Sufficient conditions for the solubility
of inverse eigenvalue problems . . . . . 89--100
Henry Wolkowicz Some applications of optimization in
matrix theory . . . . . . . . . . . . . 101--118
Charles G. Bird On the stability of a class of
noncooperative games . . . . . . . . . . 119--127
Roland Puystjens and
Donald W. Robinson The Moore--Penrose inverse of a morphism
with factorization . . . . . . . . . . . 129--141
Emilie Haynsworth and
J. R. Wall Group inverses of certain positive
operators . . . . . . . . . . . . . . . 143--159
J. A. Dias da Silva Irreducible representations of the full
linear group . . . . . . . . . . . . . . 161--182
LeRoy B. Beasley Linear transformations which preserve
fixed rank . . . . . . . . . . . . . . . 183--187
Bit Shun Tam Generalized inverses of cone preserving
maps . . . . . . . . . . . . . . . . . . 189--202
Brendan D. McKay The expected eigenvalue distribution of
a large regular graph . . . . . . . . . 203--216
E. R. Barnes and
A. J. Hoffman On bounds for eigenvalues of real
symmetric matrices . . . . . . . . . . . 217--223
Richard Sinkhorn Power symmetric stochastic matrices . . 225--228
Abraham Berman and
B. David Saunders Matrices with zero line sums and maximal
rank . . . . . . . . . . . . . . . . . . 229--235
Miroslav Fiedler and
Robert Grone Characterizations of sign patterns of
inverse-positive matrices . . . . . . . 237--245
Anonymous Editorial board . . . . . . . . . . . . 247--248
Abraham Berman Matrices and the linear complementarity
problem . . . . . . . . . . . . . . . . 249--256
W. A. Coppel Linear systems: some algebraic aspects 257--273
R. J. Plemmons Review of \booktitleSparse matrix
proceedings 1978, edited by Iain S. Duff
and G. W. Stewart . . . . . . . . . . . 275--278
Anonymous Author index to volume 40 . . . . . . . 279--279
Anonymous Author index for volumes 21--40
(1978--1981) . . . . . . . . . . . . . . 283--296
Anonymous Editorial board . . . . . . . . . . . . ??
I. Bárány and
V. S. Grinberg On some combinatorial questions in
finite-dimensional spaces . . . . . . . 1--9
Chris C. Paige and
Charles Van Loan A Schur Decomposition for Hamiltonian
Matrices . . . . . . . . . . . . . . . . 11--32
E. L. Yip and
C. S. Ballantine Congruence and conjunctivity of matrices
to their adjoints . . . . . . . . . . . 33--72
Richard W. Cottle and
Rabe von Randow and
Richard E. Stone On spherically convex sets and
${Q}$-matrices . . . . . . . . . . . . . 73--80
Dieter Spreen On some properties of the Ces\`aro limit
of a stochastic matrix . . . . . . . . . 81--91
K. H. Kim and
F. W. Roush Expressions for certain minors and
permanents . . . . . . . . . . . . . . . 93--97
R. E. Funderlic and
R. J. Plemmons ${LU}$ decomposition of ${M}$-matrices
by elimination without pivoting . . . . 99--110
Wayne W. Barrett and
Philip J. Feinsilver Inverses of banded matrices . . . . . . 111--130
Bernard Aupetit and
Thomas J. Laffey and
Jaroslav Zemánek Spectral classification of projections 131--135
Paolo Zellini and
Angela Mack On some theorems on circulant matrices 137--149
Eitan Tadmor The equivalence of ${L}_{2}$-stability,
the resolvent condition, and strict
${H}$-stability . . . . . . . . . . . . 151--159
Robert M. Guralnick Similarity of matrices over local rings 161--174
R. Gow The number of equivalence classes of
nondegenerate bilinear and sesquilinear
forms over a finite field . . . . . . . 175--181
Jim Lawrence and
Louis Weinberg Unions of oriented matroids . . . . . . 183--200
Ronald J. Stern Generalized $M$-matrices . . . . . . . . 201--208
O. L. Mangasarian A stable theorem of the alternative: an
extension of the Gordan theorem . . . . 209--223
Bit Shun Tam A geometric treatment of generalized
inverses and semigroups of nonnegative
matrices . . . . . . . . . . . . . . . . 225--272
Anonymous Letters in linear algebra . . . . . . . 273--274
Sephen Barnett and
Henry Power Castle Matrix: 4 October 1980 . . . . . 275--276
Stephen Barnett Congenial matrices . . . . . . . . . . . 277--298
Anonymous Author index to volume 41 . . . . . . . 299--299
Anonymous Linear Algebra and Its Applications:
Referees for 1981 . . . . . . . . . . . 300--300
Anonymous Announcement . . . . . . . . . . . . . . 1--2
Delia Flores de Chela Approximations in the $\ell_{\infty }$
norm and the generalized inverse . . . . 3--21
Michael W. Stadelmaier and
Nicholas J. Rose and
George D. Poole and
Carl D. Meyer, Jr. Nonnegative matrices with power
invariant zero patterns . . . . . . . . 23--29
Christiane Lef\`evre-Percsy Geometries with dual affine planes and
symplectic quadrics . . . . . . . . . . 31--37
William W. Hager and
Roger N. Pederson Perturbation in eigenvalues . . . . . . 39--55
Sujit Kumar Mitra and
Madan L. Puri Shorted matrices---an extended concept
and some applications . . . . . . . . . 57--79
Carl de Boor and
Allan Pinkus The approximation of a totally positive
band matrix by a strictly banded totally
positive one . . . . . . . . . . . . . . 81--98
Sing Cheong Ong Remarks on invariant subspaces for
finite-dimensional operators . . . . . . 99--101
L. Elsner On matrices leaving invariant a
nontrivial convex set . . . . . . . . . 103--107
D. J. Klein Treediagonal matrices and their inverses 109--117
G. Alefeld and
N. Schneider On square roots of ${M}$-matrices . . . 119--132
K. P. S. Bhaskara Rao and
P. S. S. N. V. Prasada Rao On generalized inverses of Boolean
matrices --- II . . . . . . . . . . . . 133--144
R. V. Benson and
R. C. Shiflett Doubly stochastic matrices over
arbitrary vector spaces and the Birkhoff
theorem . . . . . . . . . . . . . . . . 145--158
Harry Appelgate and
Hironori Onishi The similarity problem for $3\times 3$
integer matrices . . . . . . . . . . . . 159--174
H. H. Schaefer A metric variant of Frobenius's theorem
and some other remarks on positive
matrices . . . . . . . . . . . . . . . . 175--182
John J. Buoni and
Michael Neumann and
Richard S. Varga Theorems of Stein--Rosenberg type. III.
The singular case . . . . . . . . . . . 183--198
Yair Censor and
Tommy Elfving New methods for linear inequalities . . 199--211
Ulrich Groh Some observations on the spectra of
positive operators on finite-dimensional
$C^*$-algebras . . . . . . . . . . . . . 213--222
Er Xiong Jiang On spectral variation of a nonnormal
matrix . . . . . . . . . . . . . . . . . 223--241
Chi Song Wong Characterizations of products of
symmetric matrices . . . . . . . . . . . 243--251
Kenneth Moore Decomposable bilinear numerical radii 253--260
Anonymous Reports . . . . . . . . . . . . . . . . 261--261
Moshe Goldberg and
Eitan Tadmor On the numerical radius and its
applications . . . . . . . . . . . . . . 263--284
B. E. Cain Corrections to: ``Inertia theory''
[Linear Algebra Appl. \bf 30 (1980),
211--240, MR 82c:15001] . . . . . . . . 285--286
P. R. Vein A short survey of some recent
applications of determinants . . . . . . 287--297
Anonymous Author Index to Volume 42 . . . . . . . 299--299
Anonymous Editorial Board . . . . . . . . . . . . ??
Ulrich Abel On the stabilization of iterative
processes . . . . . . . . . . . . . . . 1--15
Françoise Chatelin and
Willard L. Miranker Acceleration by Aggregation of
Successive Approximation Methods . . . . 17--47
Lajos Takács Random walks on groups . . . . . . . . . 49--67
William H. Cunningham Separating cocircuits in binary matroids 69--86
Richard A. Brualdi and
Mordechai Lewin On powers of nonnegative matrices . . . 87--97
M. A. Brebner and
J. Grad Eigenvalues of $A x = \lambda B x$ for
real symmetric matrices $A$ and $B$
computed by reduction to a
pseudosymmetric form and the $HR$
process . . . . . . . . . . . . . . . . 99--118
F. Alberto Grünbaum A remark on Hilbert's matrix . . . . . . 119--124
Robert M. Guralnick Matrix equivalence and isomorphism of
modules . . . . . . . . . . . . . . . . 125--136
Moshe Goldberg and
E. G. Straus Operator norms, multiplicativity
factors, and ${C}$-numerical radii . . . 137--159
Pieter P. N. de Groen The construction of an accurate lower
bound for the real parts of the
eigenvalues of an ${M}$-matrix . . . . . 161--166
Michael J. McAsey and
Paul S. Muhly On projective equivalence of invariant
subspace lattices . . . . . . . . . . . 167--179
Vlastimil Pták and
N. J. Young Zero location by Hermitian forms: the
singular case . . . . . . . . . . . . . 181--196
William C. Waterhouse Linear maps preserving reduced norms . . 197--200
Helene Shapiro On a conjecture of Kippenhahn about the
characteristic polynomial of a pencil
generated by two Hermitian matrices. I 201--221
Adi Ben-Israel A Cramer rule for least-norm solutions
of consistent linear equations . . . . . 223--226
Robert E. Hartwig Applications of the Wro\'nskian and Gram
matrices of $\{t^{i}e^{\lambda _{k}t}\}$ 229--241
Emilie Haynsworth Review of \booktitleCirculant Matrices
by Philip Davis . . . . . . . . . . . . 243--244
D. W. Lewis The isometry classification of Hermitian
forms over division algebras . . . . . . 245--272
Michael Neumann The University of South Carolina
mini-conference on matrix theory and
linear algebra . . . . . . . . . . . . . 273--284
Olga Taussky The many aspects of the Pythagorean
triangles . . . . . . . . . . . . . . . 285--295
Anonymous Author index to volume 43 . . . . . . . 297--297
Anonymous Editorial Board . . . . . . . . . . . . ??
J. M. S. Simões-Pereira and
Christina M. Zamfirescu Submatrices of non-tree-realizable
distance matrices . . . . . . . . . . . 1--17
Karl Nickel Die Auflösbarkeit linearer Kreisscheiben-
und Intervall-Gleichungssysteme.
(German) [The solvability of linear
systems of disc and interval equations] 19--40
Shmuel Friedland and
Barry Simon The codimension of degenerate pencils 41--53
F. Calogero Isospectral matrices and classical
polynomials . . . . . . . . . . . . . . 55--60
Ron Adin Extreme positive operators on minimal
and almost minimal cones . . . . . . . . 61--86
V. S. Sunder A noncommutative analogue of $|D(X^k)| =
|k X^{k - 1}|$ . . . . . . . . . . . . . 87--95
S. Friedland and
J. W. Robbin Symmetries of tensor products . . . . . 97--123
T. E. Djaferis and
S. K. Mitter Algebraic methods for the study of some
linear matrix equations . . . . . . . . 125--142
Renato Spigler An application of group theory to
matrices and to ordinary differential
equations . . . . . . . . . . . . . . . 143--151
Jürgen Garloff Criteria for sign regularity of sets of
matrices . . . . . . . . . . . . . . . . 153--160
Clark R. Givens On the modified Leverrier--Faddeev
algorithm . . . . . . . . . . . . . . . 161--167
Ian S. Murphy A note on the product of complementary
principal minors of a positive definite
matrix . . . . . . . . . . . . . . . . . 169--172
Lajos László Imaginary part bounds on polynomial
zeros . . . . . . . . . . . . . . . . . 173--180
Stanley C. Eisenstat and
John W. Lewis and
Martin H. Schultz Optimal block diagonal scaling of block
$2$-cyclic matrices . . . . . . . . . . 181--186
Anonymous Reports . . . . . . . . . . . . . . . . 187--187
Robert C. Thompson The
Jacobi--Gundelfinger--Frobenius--Iohvidov rule and the Hasse symbol 189--196
Robert C. Thompson The Smith form, the inversion rule for
$2\times 2$ matrices, and the uniqueness
of the invariant factors for finitely
generated modules . . . . . . . . . . . 197--201
Anonymous Author index to volume 44 . . . . . . . 203--203
T. H. Pate Permutation-operator inequalities on
certain symmetry classes of tensors . . 1--12
Stephen Demko Surjectivity and invertibility
properties of totally positive matrices 13--20
Max D. Gunzburger and
R. A. Nicolaides Stability of Gaussian elimination
without pivoting on tridiagonal Toeplitz
matrices . . . . . . . . . . . . . . . . 21--28
Robert D. Grone and
D. G. Hoffman and
J. R. Wall Permutation-matrix groups with positive
sum . . . . . . . . . . . . . . . . . . 29--34
David London On the van der Waerden conjecture and
zeros of polynomials . . . . . . . . . . 35--41
R. Yarlagadda and
J. Hershey A note on the eigenvectors of Hadamard
matrices of order $2^{n}$ . . . . . . . 43--53
Joel E. Cohen and
Shmuel Friedland and
Tosio Kato and
Frank P. Kelly Eigenvalue inequalities for products of
matrix exponentials . . . . . . . . . . 55--95
Helene Shapiro A conjecture of Kippenhahn about the
characteristic polynomial of a pencil
generated by two Hermitian matrices. II 97--108
Melvyn W. Jeter and
Wallace C. Pye Nonnegative $(s,\,t)$-potent matrices 109--121
Robert E. Bixby A simple theorem on $3$-connectivity . . 123--126
H. Sexton and
M. Shensa and
J. Speiser Remarks on a displacement-rank inversion
method for Toeplitz systems . . . . . . 127--130
Chong Yun Chao On some sets of permutation matrices . . 131--134
B. N. Parlett Winograd's Fourier transform via
circulants . . . . . . . . . . . . . . . 137--155
Jeffrey J. Hunter Generalized inverses and their
application to applied probability
problems . . . . . . . . . . . . . . . . 157--198
Anonymous Author index to volume 45 . . . . . . . 199--199
Anonymous Editorial Board . . . . . . . . . . . . ??
Michael Doob A surprising property of the least
eigenvalue of a graph . . . . . . . . . 1--7
A. Neumaier The second largest eigenvalue of a tree 9--25
Vijaya Kumar and
S. B. Rao and
N. M. Singhi Graphs with eigenvalues at least $-2$ 27--42
C. D. Godsil Eigenvalues of graphs and digraphs . . . 43--50
W. G. Bridges and
R. A. Mena On the rational spectra of graphs with
Abelian Singer groups . . . . . . . . . 51--60
Uriel G. Rothblum and
Hans Schneider Characterizations of extreme normalized
circulations satisfying linear
constraints . . . . . . . . . . . . . . 61--72
Richard M. Wilson Incidence matrices of $t$-designs . . . 73--82
Eiichi Bannai Tannaka-Kre\uìn duality for association
schemes . . . . . . . . . . . . . . . . 83--90
P. J. Cameron and
R. A. Liebler Tactical decompositions and orbits of
projective groups . . . . . . . . . . . 91--102
A. A. Bruen and
J. W. Freeman Intersections of $t$-reguli, rational
curves, and orthogonal Latin squares . . 103--116
Jennifer Seberry and
Clement W. H. Lam On orthogonal matrices with constant
diagonal . . . . . . . . . . . . . . . . 117--129
David A. Drake and
Sharad S. Sane Auxiliary sets of matrices with new step
parameter sequences . . . . . . . . . . 131--153
Tom Brylawski Finite prime-field characteristic sets
for planar configurations . . . . . . . 155--176
Richard A. Brualdi and
Qiao Li Small diameter interchange graphs of
classes of matrices of zeros and ones 177--194
Tatsuro Ito Bipartite distance-regular graphs of
valency three . . . . . . . . . . . . . 195--213
A. Gardiner Antipodal graphs of diameter three . . . 215--219
R. J. Faudree and
C. C. Rousseau and
J. Sheehan Strongly regular graphs and finite
Ramsey theory . . . . . . . . . . . . . 221--241
Anonymous Author index to volume 46 . . . . . . . 243--243
Anonymous Editorial Board . . . . . . . . . . . . ??
N. L. Biggs and
W. G. Bridges Combinatorics and graph theory . . . . . v--v
Charles R. Johnson and
Frank Uhlig and
Dan Warner Sign patterns, nonsingularity, and the
solvability of $A x = b$ . . . . . . . . 1--9
G. H. Chan and
M. H. Lim Linear transformations on symmetric
matrices that preserve commutativity . . 11--22
José Vitória Block Eigenvalues of block compound
matrices . . . . . . . . . . . . . . . . 23--34
G. N. de Oliveira Matrices with prescribed characteristic
polynomial and principal blocks. II . . 35--40
C. de Boor and
Rong Qing Jia and
A. Pinkus Structure of invertible (bi)infinite
totally positive matrices . . . . . . . 41--55
Dragomir \vZ. Djokovi\'c Relations between the half turns of the
hyperbolic plane . . . . . . . . . . . . 57--88
David Carlson and
Raphael Loewy On equality of maps induced by alternate
products . . . . . . . . . . . . . . . . 89--110
Robert Guralnick and
Charles Lanski Pseudosimilarity and cancellation of
modules . . . . . . . . . . . . . . . . 111--115
W. D. Curtis and
J. David Logan and
W. A. Parker Dimensional analysis and the pi theorem 117--126
L. Elsner On the Variation of the Spectra of
Matrices . . . . . . . . . . . . . . . . 127--138
Sujit Kumar Mitra Simultaneous diagonalization of
rectangular matrices . . . . . . . . . . 139--150
Silvio Ursic Inverse matrix representation with one
triangular array . . . . . . . . . . . . 151--157
Guang Hao Rong The error bound of the perturbation of
the Drazin inverse . . . . . . . . . . . 159--168
E. I. Jury Comments on the stability criterion of
Liénard and Chipart . . . . . . . . . . . 169--171
Alicja Sterna-Karwat On weak monomorphisms in the category of
convex processes . . . . . . . . . . . . 173--179
Jürgen Garloff Majorization between the diagonal
elements and the eigenvalues of an
oscillating matrix . . . . . . . . . . . 181--184
Joel E. Cohen and
Peter H. Sellers Sets of nonnegative matrices with
positive inhomogeneous products . . . . 185--192
Charles R. Johnson Inverse $M$-matrices . . . . . . . . . . 195--216
Anonymous Author index to volume 47 . . . . . . . 217--217
Anonymous Editorial Board . . . . . . . . . . . . ??
Jim Lawrence Oriented matroids and multiply ordered
sets . . . . . . . . . . . . . . . . . . 1--12
Ronald J. Stern On strictly positively invariant cones 13--24
LeRoy B. Beasley Linear transformations on matrices: the
invariance of sets of ranks . . . . . . 25--35
Dean Isaacson and
E. Seneta Ergodicity for countable inhomogeneous
Markov chains . . . . . . . . . . . . . 37--44
William C. Waterhouse Real classification of complex quadrics 45--52
B. N. Parlett and
T. L. Landis Methods for Scaling to Double Stochastic
Form . . . . . . . . . . . . . . . . . . 53--79
Helene Shapiro Hermitian pencils with a cubic minimal
polynomial . . . . . . . . . . . . . . . 81--103
Yves Robert Regular incomplete factorizations of
real positive definite matrices . . . . 105--117
Saburou Saitoh Positive definite Hermitian matrices and
reproducing kernels . . . . . . . . . . 119--130
J. B. Wilker The Apollonian octets and an inversive
form of Krause's theorem . . . . . . . . 131--144
David L. Powers and
Mohammad M. Sulaiman The walk partition and colorations of a
graph . . . . . . . . . . . . . . . . . 145--159
Gerry Wiener Some structural results concerning
certain classes of qualitative matrices
and their inverses . . . . . . . . . . . 161--175
J. J. Buoni and
B. Subramanian A Stein--Rosenberg theorem for
rectangular matrices . . . . . . . . . . 177--190
P. Lancaster and
M. V. Pattabhiraman The local determination of Jordan bases
for ${H}$-selfadjoint operators . . . . 191--199
Gregery A. Johnson A generalization of ${N}$-matrices . . . 201--217
Israel Gohberg and
Seymour Goldberg Finite-dimensional Wiener--Hopf
equations and factorizations of matrices 219--236
S. C. Power Finite rank multivariable Hankel forms 237--244
Bojan Mohar The spectrum of an infinite graph . . . 245--256
I. Olkin and
F. Pukelsheim The distance between two random vectors
with given dispersion matrices . . . . . 257--263
R. Puystjens and
J. Van Geel Diagonalization of matrices over graded
principal ideal domains . . . . . . . . 265--281
Edward T. Wong Involutory functions and Moore--Penrose
inverses of matrices in an arbitrary
field . . . . . . . . . . . . . . . . . 283--291
John A. R. Holbrook Polynomials in a matrix and its
commutant . . . . . . . . . . . . . . . 293--301
Barbu C. Kestenband Finite projective geometries that are
incidence structures of caps . . . . . . 303--313
George C. Verghese A ``Cramer rule'' for the least-norm,
least-squared-error solution of
inconsistent linear equations . . . . . 315--316
Bernard Ycart Extrémales du cône des matrices de type
non négatif, \`a coefficients positifs ou
nuls. (French) [Extremals of the cone of
nonnegative matrices with positive or
zero coefficients] . . . . . . . . . . . 317--330
Ji Guang Sun A note on Stewart's theorem for definite
matrix pairs . . . . . . . . . . . . . . 331--339
Ludwig Elsner and
Ji Guang Sun Perturbation Theorems for the
Generalized Eigenvalue Problem . . . . . 341--357
John W. Hilgers A theory for optimal regularization in
the finite-dimensional case . . . . . . 359--379
D. D. Olesky and
P. van den Driessche Monotone positive stable matrices . . . 381--401
V. S. Sunder On permutations, convex hulls, and
normal operators . . . . . . . . . . . . 403--411
Michael Neumann and
George D. Poole and
Hans-Joachim Werner More on generalizations of matrix
monotonicity . . . . . . . . . . . . . . 413--435
Ravindra Bapat $D_1 A D_2$ theorems for
multidimensional matrices . . . . . . . 437--442
Martin R. Pettet Near-fields and linear transformations
of finite fields . . . . . . . . . . . . 443--456
Rachel Manber Graph-theoretical approach to
qualitative solvability of linear
systems . . . . . . . . . . . . . . . . 457--470
George Phillip Barker Reports . . . . . . . . . . . . . . . . 471--471
Jean H. Bevis and
Frank J. Hall Some classes of integral matrices . . . 473--483
Anonymous Author index to volume 48 . . . . . . . 485--486
Anonymous Linear algebra and its applications . . 487--487
Manfred Ries and
Ulrich Trottenberg and
Gerd Winter A note on MGR methods . . . . . . . . . 1--26
Alexander Shapiro On the unsolvability of inverse
eigenvalues problems almost everywhere 27--31
Vlastimil Pták Lyapunov equations and Gram matrices . . 33--55
Vlastimil Pták Biorthogonal systems and the infinite
companion matrix . . . . . . . . . . . . 57--78
K. P. Hadeler On copositive matrices . . . . . . . . . 79--89
Robert E. Hartwig Roth's removal rule revisited . . . . . 91--115
D. S. Meek The inverses of Toeplitz band matrices 117--129
João Filipe Queiró Invariant factors as approximation
numbers . . . . . . . . . . . . . . . . 131--136
Gong Ning Chen On some properties of singular matrices 137--151
Marc Artzrouni A theorem on products of matrices . . . 153--159
Hans-J. Runckel and
Uwe Pittelkow Practical computation of matrix
functions . . . . . . . . . . . . . . . 161--178
K. P. S. Bhaskara Rao On generalized inverses of matrices over
integral domains . . . . . . . . . . . . 179--189
G. N. de Oliveira and
J. A. Dias da Silva Equality of decomposable symmetrized
tensors and $^{*} $-matrix groups . . . 191--219
James Lucien Howland The sign matrix and the separation of
matrix eigenvalues . . . . . . . . . . . 221--232
Miroslav Fiedler A note on the Hadamard product of
matrices . . . . . . . . . . . . . . . . 233--235
Dao Qi Chen An invariant deflation for lower banded
matrices . . . . . . . . . . . . . . . . 237--245
Boris Mirman Antieigenvalues: method of estimation
and calculation . . . . . . . . . . . . 247--255
Jonathan I. Hall Linear representations of cotriangular
spaces . . . . . . . . . . . . . . . . . 257--273
Kazuo Murota $LU$-decomposition of a matrix with
entries of different kinds . . . . . . . 275--283
Robert C. Thompson Counterexamples concerning the diagonal
elements of normal matrices . . . . . . 285--291
Anonymous Author index to volume 49 . . . . . . . 293--293
Anonymous Editorial Board . . . . . . . . . . . . ii--iii
A. C. Antoulas New results on the algebraic theory of
linear systems: the solution of the
cover problems . . . . . . . . . . . . . 1--43
R. W. Brockett Linear feedback systems and the groups
of Galois and Lie . . . . . . . . . . . 45--60
Christopher I. Byrnes On a theorem of Hermite and Hurwitz . . 61--101
T. E. Djaferis and
S. K. Mitter Some generic invariant factor assignment
results using dynamic output feedback 103--131
Erol Emre Generalized model matching and $(F,
G)$-invariant submodules for linear
systems over rings . . . . . . . . . . . 133--166
Paul A. Fuhrmann On symmetric rational transfer functions 167--250
Yves Genin and
Paul Van Dooren and
Tom Kailath and
Jean-Marc Delosme and
Martin Morf On ${\Sigma} $-lossless transfer
functions and related questions . . . . 251--275
William B. Gragg and
Anders Lindquist On the partial realization problem . . . 277--319
Jacob Hammer and
Michael Heymann Factorization of linear systems: a
generalized framework . . . . . . . . . 321--352
M. L. J. Hautus Strong detectability and observers . . . 353--368
M. L. J. Hautus and
L. M. Silverman System structure and singular control 369--402
Pramod P. Khargonekar and
Tryphon T. Georgiou and
A. Bülent Özgüler Skew-prime polynomial matrices: the
polynomial-model approach . . . . . . . 403--435
D. Prätzel-Wolters Canonical forms for linear systems . . . 437--473
K. Maciej Przy\luski About some problems of spectral
synthesis . . . . . . . . . . . . . . . 475--485
J. M. Schumacher The algebraic regulator problem from the
state-space point of view . . . . . . . 487--520
Katsutoshi Takahashi On relative primeness of operator
polynomials . . . . . . . . . . . . . . 521--526
Allen Tannenbaum On the stabilizer subgroup of a pair of
matrices . . . . . . . . . . . . . . . . 527--544
Paul Van Dooren and
Patrick Dewilde The eigenstructure of an arbitrary
polynomial matrix: computational aspects 545--579
Jan C. Willems Input-output and state-space
representations of finite-dimensional
linear time-invariant systems . . . . . 581--608
Harald K. Wimmer Indefinite inner-product spaces
associated with Hermitian polynomial
matrices . . . . . . . . . . . . . . . . 609--619
Bostwick F. Wyman and
Michael K. Sain On the zeros of a minimal realization 621--637
N. J. Young The singular-value decomposition of an
infinite Hankel matrix . . . . . . . . . 639--656
Anonymous Author index to volume 50 . . . . . . . 657--657
Ravindra Bapat Doubly stochastic matrices with equal
subpermanents . . . . . . . . . . . . . 1--8
Hiroyuki Ishibashi Generation of classical groups over
finite fields . . . . . . . . . . . . . 9--15
Niel K. Madsen Cyclic odd-even reduction for symmetric
circulant matrices . . . . . . . . . . . 17--35
C. R. Crawford and
Yiu Sang Moon Finding a Positive Definite Linear
Combination of Two Hermitian Matrices 37--48
M. Mucha and
T. Lulek Permutational symmetry of
Clebsch--Gordan coefficients for the
metacyclic groups . . . . . . . . . . . 49--71
D. Hinrichsen and
U. Krause Unique representation in convex sets by
extraction of marked components . . . . 73--96
P. Delsarte and
Y. Genin and
Y. Kamp On the Toeplitz embedding of an
arbitrary matrix . . . . . . . . . . . . 97--119
Kai Wang Characteristic polynomials of symmetric
graphs . . . . . . . . . . . . . . . . . 121--125
J. P. Milaszewicz On modified Jacobi linear operators . . 127--136
Olaf Krafft A matrix optimization problem . . . . . 137--142
Terrence Bone Positive feedback may sometimes promote
stability . . . . . . . . . . . . . . . 143--151
Tibor Fiala Normal equivalent to an arbitrary
diagonalizable matrix . . . . . . . . . 153--162
Jan Mandel and
Bohuslav Sekerka A local convergence proof for the
iterative aggregation method . . . . . . 163--172
William C. Waterhouse A conjectured property of Hermitian
pencils . . . . . . . . . . . . . . . . 173--177
Thomas J. Laffey A counterexample to Kippenhahn's
conjecture on Hermitian pencils . . . . 179--182
Anonymous Author index to volume 51 . . . . . . . 183--183
Anonymous Editorial Board . . . . . . . . . . . . ii--iii
J. Aczél and
C. T. Ng Determination of all semisymmetric
recursive information measures of
multiplicative type on $n$ positive
discrete probability distributions . . . 1--30
T. Ando On the
arithmetic-geometric-harmonic-mean
inequalities for positive definite
matrices . . . . . . . . . . . . . . . . 31--37
Bernard Aupetit and
Jaroslav Zemánek Local behavior of the spectrum near
algebraic elements . . . . . . . . . . . 39--44
Rajendra Bhatia and
Chandler Davis and
Alan McIntosh Perturbation of Spectral Subspaces and
Solution of Linear Operator Equations 45--67
H. Bieri and
W. Nef A sweep-plane algorithm for computing
the volume of polyhedra represented in
Boolean form . . . . . . . . . . . . . . 69--97
Dario Bini and
Milvio Capovani Spectral and computational properties of
band symmetric Toeplitz matrices . . . . 99--126
Å. Björck and
S. Hammarling A Schur Method for the Square Root of a
Matrix . . . . . . . . . . . . . . . . . 127--140
P. L. Butzer and
R. L. Stens The Euler--MacLaurin summation formula,
the sampling theorem, and approximate
integration over the real axis . . . . . 141--155
David Carlson and
Emilie V. Haynsworth Complementable and almost definite
matrices . . . . . . . . . . . . . . . . 157--176
Bhagya Chari and
Harry Hochstadt A direct and inverse problem for a
Hill's matrix with double eigenvalues 177--197
Germund Dahlquist On matrix majorants and minorants, with
applications to differential equations 199--216
Wolfgang Dahmen and
Charles A. Micchelli Translates of multivariate splines . . . 217--234
Emeric Deutsch and
Helmut Wielandt Nested bounds for the Perron root of a
nonnegative matrix . . . . . . . . . . . 235--251
Ky Fan Normalizable operators . . . . . . . . . 253--263
Miroslav Fiedler and
Thomas L. Markham and
Michael Neumann Classes of products of ${M}$-matrices
and inverse ${M}$-matrices . . . . . . . 265--287
Fergus J. Gaines and
Thomas J. Laffey and
Helene M. Shapiro Pairs of matrices with quadratic minimal
polynomials . . . . . . . . . . . . . . 289--292
Walter Gautschi The Condition of Vandermonde-like
Matrices Involving Orthogonal
Polynomials . . . . . . . . . . . . . . 293--300
Jean-Louis Goffin and
Alan J. Hoffman On the relationship between the
Hausdorff distance and matrix distances
of ellipsoids . . . . . . . . . . . . . 301--313
I. Gohberg and
L. Lerer and
L. Rodman Wiener--Hopf factorization of piecewise
matrix polynomials . . . . . . . . . . . 315--350
Moshe Goldberg and
E. G. Straus Multiplicativity of $\ell_{p}$ norms for
matrices . . . . . . . . . . . . . . . . 351--360
Peter Henrici A general theory of osculation
algorithms for conformal mapping . . . . 361--382
Daniel Hershkowitz and
Abraham Berman Localization of the spectra of ${P}$-
and ${P}_{0}$-matrices . . . . . . . . . 383--397
Kang C. Jea and
David M. Young On the Simplification of Generalized
Conjugate- Gradient Methods for
Nonsymmetrizable Linear Systems . . . . 399--417
Samuel Karlin and
Yosef Rinott ${M}$-matrices as covariance matrices of
multinormal distributions . . . . . . . 419--438
J. Kautský and
G. H. Golub On the Calculation of Jacobi Matrices 439--455
Thomas J. Laffey Irredundant generating sets for matrix
algebras . . . . . . . . . . . . . . . . 457--478
P. Lancaster and
M. Tismenetsky Inertia characteristics of selfadjoint
matrix polynomials . . . . . . . . . . . 479--496
Raphael Loewy Determinants of nonprincipal submatrices
of normal matrices . . . . . . . . . . . 497--507
Ivo Marek and
Karel \vZitn\'y Two-sided spectral bounds of two
irreducible linear maps . . . . . . . . 509--523
Morris Newman Lyapunov revisited . . . . . . . . . . . 525--528
Ingram Olkin An inequality for a sum of forms . . . . 529--532
John R. Rice Performance analysis of 13 methods to
solve the Galerkin method equations . . 533--546
F. Robert Dérivée discr\`ete et comportement local
d'une itération discr\`ete. (French)
[Discrete derivative and local behavior
of a discrete iteration] . . . . . . . . 547--589
Axel Ruhe Numerical Aspects of Gram--Schmidt
Orthogonalization of Vectors . . . . . . 591--601
R. B. Saxena and
A. Sharma and
Z. Ziegler Hermite--Birkhoff interpolation on roots
of unity and Walsh equiconvergence . . . 603--615
I. J. Schoenberg Interpolating splines as limits of
polynomials . . . . . . . . . . . . . . 617--628
Hans Schwerdtfeger On the covariance of the Moore--Penrose
inverse . . . . . . . . . . . . . . . . 629--643
V. Strassen Rank and optimal computation of generic
tensors . . . . . . . . . . . . . . . . 645--685
Olga Taussky On the congruence transformation of a
pencil of real symmetric matrices to a
pencil with identical characteristic
polynomial . . . . . . . . . . . . . . . 687--691
Robert C. Thompson A converse to the Ostrowski--Taussky
determinantal inequality . . . . . . . . 693--699
Frank Uhlig Relations between the fields of values
of a matrix and of its polar factors:
the $2\times 2$ real and complex case 701--715
H. F. Weinberger Optimal numerical approximation of a
linear operator . . . . . . . . . . . . 717--737
Harald K. Wimmer On Ostrowski's generalization of
Sylvester's law of inertia . . . . . . . 739--741
Hans Zassenhaus On the Cartan subalgebra of a Lie
algebra . . . . . . . . . . . . . . . . 743--761
Walter Gautschi To Alexander M. Ostrowski on his
ninetieth birthday . . . . . . . . . . . xi--xiv
Moshe Goldberg and
E. G. Straus Multiplicativity factors for
${C}$-numerical radii . . . . . . . . . 1--16
Boris Raykhshteyn On rational invariants of a set of
symmetric matrices . . . . . . . . . . . 17--28
Antonio Pizarro Similarity classes of $3 \times 3$
matrices over a discrete valuation ring 29--51
D. Kershaw $QD$ algorithms and algebraic eigenvalue
problems . . . . . . . . . . . . . . . . 53--75
J. K. Baksalary and
R. Kala and
K. K\laczy\'nski The matrix inequality ${M}\geq {B}^{*}
{MB}$ . . . . . . . . . . . . . . . . . 77--86
Geng Zhe Chang and
Philip J. Davis A circulant formulation of the
Napoleon--Douglas--Neumann theorem . . . 87--95
C. G. Khatri A generalization of Lavoie's inequality
concerning the sum of idempotent
matrices . . . . . . . . . . . . . . . . 97--108
G. N. de Oliveira The University of Coimbra
Mini-Conference on Linear Algebra and
Applications . . . . . . . . . . . . . . 111--138
A. S. Markus and
E. \`E. Parilis The change of the Jordan structure of a
matrix under small perturbations . . . . 139--152
David Carlson Minimax and interlacing theorems for
matrices . . . . . . . . . . . . . . . . 153--172
R. C. Thompson Review of \booktitleInequalities: Theory
of Majorization and Its Applications, by
Albert W. Marshall and Ingram Olkin . . 173--175
Robert J. Plemmons Review of \booktitleBoolean Matrix
Theory and Applications, by Ki Hang Kim 177--178
William L. Green Review of \booktitleFinite and Infinite
Dimensional Linear Spaces by Richard D.
Järvinen . . . . . . . . . . . . . . . . 179--182
Anonymous Author index to volume 54 . . . . . . . 183--183
Anonymous Editorial Board . . . . . . . . . . . . ii--iii
John Hannah and
Thomas J. Laffey Nonnegative factorization of completely
positive matrices . . . . . . . . . . . 1--9
LeRoy B. Beasley Rank-$k$-preservers and preservers of
sets of ranks . . . . . . . . . . . . . 11--17
Wilhelm Werner A generalized companion matrix of a
polynomial and some applications . . . . 19--36
Hans F. de Groote and
Joos Heintz Commutative algebras of minimal rank . . 37--68
Charles R. Johnson Sign patterns of inverse nonnegative
matrices . . . . . . . . . . . . . . . . 69--80
Daniel Hershkowitz On the spectra of matrices having
nonnegative sums of principal minors . . 81--86
T. N. E. Greville Toeplitz matrices with Toeplitz inverses
revisited . . . . . . . . . . . . . . . 87--92
I. N. Imam Tridiagonal and upper triangular inverse
${M}$-matrices . . . . . . . . . . . . . 93--104
Jorma Kaarlo Merikoski and
George P. H. Styan and
Henry Wolkowicz Bounds for ratios of eigenvalues using
traces . . . . . . . . . . . . . . . . . 105--124
Gong Ning Chen Note on lower bounds for the rank of a
matrix . . . . . . . . . . . . . . . . . 125--132
John Heading Invariant functions of the elements of
the powers of a square matrix . . . . . 133--145
Hidetoshi Komiya Necessary and sufficient conditions for
multivariate majorization . . . . . . . 147--154
Uriel G. Rothblum and
Choon Peng Tan Multiplicative processes reaching
stationarity in finite time . . . . . . 155--167
Gong Ning Chen Some generalizations of diagonal
dominance associated with
${G}$-functions . . . . . . . . . . . . 169--180
Anonymous Author index to volume 55 . . . . . . . 181--181
Anonymous Linear Algebra and Its Applications:
Referees for 1983 . . . . . . . . . . . 183--183
Anonymous Editorial Board . . . . . . . . . . . . ii--iii
Dragomir \vZ. Djokovi\'c and
Mark P. Richards On singular values and similarity
classes of matrices . . . . . . . . . . 1--28
Gerhard Zielke Some remarks on matrix norms, condition
numbers, and error estimates for linear
equations . . . . . . . . . . . . . . . 29--41
Peter Rowlinson On the maximal index of graphs with a
prescribed number of edges . . . . . . . 43--53
G. P. Barker and
L. T. Conner, Jr. and
D. P. Stanford Complete controllability and
contractibility in multimodal systems 55--74
Chi-Kwong Li and
Bit-Shun Tam and
Nam-Kiu Tsing Linear operators preserving the $(p,
q)$-numerical range . . . . . . . . . . 75--89
Steen A. Anderson and
Michael D. Perlman Group-invariant analogues of Hadamard's
inequality . . . . . . . . . . . . . . . 91--116
Juan-Enrique Martinez-Legaz and
Ivan Singer The structure of hemispaces in $R^n$ . . 117--179
Chi-Kwong Li and
Nam-Kiu Tsing Duality between some linear preserver
problems. II. Isometries with respect to
$c$-special norms and matrices with
fixed singular values . . . . . . . . . 181--212
D. S. Watkins and
L. Elsner Self-similar flows . . . . . . . . . . . 213--242
James R. Weaver Real eigenvalues of nonnegative matrices
which commute with a symmetric matrix
involution . . . . . . . . . . . . . . . 243--253
H. Bart Upper triangularization of matrices by
permutations and lower triangular
similarity transformations . . . . . . . 255--261
Jian-Ming Miao and
Donald W. Robinson Group and Moore--Penrose inverses of
regular morphisms with kernel and
cokernel . . . . . . . . . . . . . . . . 263--270
Donald G. James Representations of Anisotropic unitary
groups. II . . . . . . . . . . . . . . . 271--284
Apostolos Hadjidimos and
Theodore S. Papatheodorou and
Yiannis G. Saridikis Optimal block iterative schemes for
certain large, sparse, and nonsymmetric
linear systems . . . . . . . . . . . . . 285--318
Anonymous Author index for volume 110 . . . . . . 319--319
Anonymous Editorial Board . . . . . . . . . . . . ii--iii
R. Loewy Determinants of nonprincipal submatrices
of positive semidefinite matrices . . . 1--16
E. L. Yip and
C. S. Ballantine A note on stable matrices . . . . . . . 17--28
Philip Feinsilver Circulants, inversion of circulants, and
some related matrix algebras . . . . . . 29--43
Sing-Cheong Ong On the Schur multiplier norm of matrices 45--55
Ravindra Bapat A matrix of permanents . . . . . . . . . 57--62
Joel K. Haack When do the transpose and dual agree? 63--72
Wayne W. Barrett and
Charles R. Johnson Determinantal formulae for matrices with
sparse inverses . . . . . . . . . . . . 73--88
S.-P. Han and
O. L. Mangasarian Conjugate cone characterization of
positive definite and semidefinite
matrices . . . . . . . . . . . . . . . . 89--103
Li Qun Qi Some Simple Estimates for Singular
Values of a Matrix . . . . . . . . . . . 105--119
Shmuel Friedland and
Eitan Tadmor Optimality of the Lax--Wendroff
condition . . . . . . . . . . . . . . . 121--129
Jochen Brüning Diagonalization of holomorphic functions
with values in ${W}^{*} $-algebras . . . 131--138
D. J. Hartfiel A control theory for stochastic
eigenvectors of stochastic matrices
through variations of entries . . . . . 139--160
W. E. Longstaff Picturing the lattice of invariant
subspaces of a nilpotent complex matrix 161--168
Massoud Malek-Shahmirzadi On monotonic and orthant monotonic norms 169--175
S. A. H. Rizvi Inverses of quasitridiagonal matrices 177--184
Lala B. Krishna On the convergence of the symmetric
successive overrelaxation method . . . . 185--194
Nam Kiu Tsing The constrained bilinear form and the
${C}$-numerical range . . . . . . . . . 195--206
David Carlson Controllability, inertia, and stability
for tridiagonal matrices . . . . . . . . 207--220
George Phillip Barker and
Richard D. Hill and
Raymond D. Haertel On the completely positive and
positive-semidefinite-preserving cones 221--229
G. W. Stewart A Second Order Perturbation Expansion
for Small Singular Values . . . . . . . 231--235
Bryan E. Cain Inside the ${D}$-stable matrices . . . . 237--243
Clark R. Givens Some observations on eigenvectors of
Hadamard matrices of order $2^n$ . . . . 245--250
N. J. Young Linear fractional transformations in
rings and modules . . . . . . . . . . . 251--290
Stephen L. Campbell Review of \booktitleAdvanced Matrix
Theory for Scientists and Engineers, by
A. S. Deif . . . . . . . . . . . . . . . 291--292
Stephen L. Campbell Review of \booktitleA Short Introduction
to Perturbation Theory for Linear
Operators, by Tosio Kato . . . . . . . . 293--294
Anonymous Author index to volume 56 . . . . . . . 295--295
Anonymous Editorial Board . . . . . . . . . . . . ii--iii
Alicja Sterna-Karwat A note on additive convex processes . . 1--12
Erwin Lutwak On power means of positive quadratic
forms . . . . . . . . . . . . . . . . . 13--19
Harry Hochstadt An inverse spectral theorem for a Hill's
matrix . . . . . . . . . . . . . . . . . 21--30
Robert A. Melter and
Sergiu Rudeanu Linear equations and interpolation in
Boolean algebra . . . . . . . . . . . . 31--40
N. Alikakos and
P. W. Bates Estimates for the eigenvalues of the
Jordan product of Hermitian matrices . . 41--56
Zdislav V. Kovarik and
Nagwa Sherif Characterization of similarities between
two $n$-frames of projectors . . . . . . 57--69
William H. Gustafson A note on matrix inversion . . . . . . . 71--73
Gregery A. Johnson Partitioned matrices satisfying certain
null space properties . . . . . . . . . 75--85
W. D. Hoskins and
R. S. D. Thomas Conditions for isonemal arrays on a
Cartesian grid . . . . . . . . . . . . . 87--103
Thomas Bier A distribution invariant for association
schemes and strongly regular graphs . . 105--113
P. W. Smith and
Henry Wolkowicz Dimensionality of biinfinite systems . . 115--130
Wayne W. Barrett Toeplitz matrices with banded inverses 131--145
Thomas H. Pate An inequality involving permanents of
certain direct products . . . . . . . . 147--155
Miroslav Fiedler ${S}$-matrices . . . . . . . . . . . . . 157--167
Melvyn W. Jeter and
Wallace C. Pye Some properties of $Q$-matrices . . . . 169--180
Larry Nazareth Numerical behavior of ${\rm LP}$
algorithms based upon the decomposition
principle . . . . . . . . . . . . . . . 181--189
A. Yeyios On the optimization of an extrapolation
method . . . . . . . . . . . . . . . . . 191--203
S. K. Jain Overdetermined linear systems satisfying
nonnegativity constraints . . . . . . . 205--213
R. Benedetti and
P. Cragnolini On simultaneous diagonalization of one
Hermitian and one symmetric form . . . . 215--226
William C. Waterhouse The codimension of singular matrix pairs 227--245
Randall E. Cline and
Robert M. McConnel Extensions of the Levine--Nahikian
method for constructing involutory
matrices . . . . . . . . . . . . . . . . 247--270
David A. Weinberg Canonical forms for symmetric tensors 271--282
N. J. Rose Review of \booktitleSingular Systems of
Differential Equations . . . . . . . . . 283--286
Stephen L. Campbell Review of \booktitleApplied
Multidimensional Systems Theory, by N.
K. Bose, and \booktitleMultivariable
Feedback Systems, by F. M. Callier and
C. A. Desoer . . . . . . . . . . . . . . 287--289
Kwangil Koh Review of \booktitleTernary Quadratic
Forms and Norms, edited by Olga Taussky 291--293
Thomas Lowell Markham Review of \booktitleRecent Applications
of Generalized Inverses: edited by S. L.
Campbell . . . . . . . . . . . . . . . . 295--296
Anonymous Author index to volume 57 . . . . . . . 297--297
Anonymous Editorial Board . . . . . . . . . . . . ii--iii
L. Elsner and
W. Niethammer and
R. S. Varga Preface . . . . . . . . . . . . . . . . 1--1
O. Axelsson and
S. Brinkkemper and
V. P. Ilín On some versions of incomplete
block-matrix factorization iterative
methods . . . . . . . . . . . . . . . . 3--15
Abraham Berman and
Daniel Hershkowitz Characterization of acyclic ${D}$-stable
matrices . . . . . . . . . . . . . . . . 17--31
S. Bia\las and
J. Garloff Intervals of $P$-matrices and related
matrices . . . . . . . . . . . . . . . . 33--41
A. Bunse-Gerstner An Algorithm for the Symmetric
Generalized Eigenvalue Problem . . . . . 43--68
L. Elsner Block scaling with optimal Euclidean
condition . . . . . . . . . . . . . . . 69--73
Miroslav Fiedler Hankel and Loewner matrices . . . . . . 75--95
S. Friedland and
C. Zenger All spectral dominant norms are stable 97--107
Robert Grone and
Charles R. Johnson and
Eduardo Marques de Sá and
Henry Wolkowicz Positive definite completions of partial
Hermitian matrices . . . . . . . . . . . 109--124
Wolfgang Hackbusch Multigrid convergence for a singular
perturbation problem . . . . . . . . . . 125--145
D. J. Hartfiel and
R. Loewy On matrices having equal corresponding
principal minors . . . . . . . . . . . . 147--167
Daniel Hershkowitz and
Abraham Berman Notes on $\omega $- and $\tau $-matrices 169--183
Ivo Marek Perron roots of a convex combination of
a cone preserving map and its adjoint 185--200
Günter Mayer On the convergence of powers of interval
matrices . . . . . . . . . . . . . . . . 201--216
Volker Mehrmann On classes of matrices containing
${M}$-matrices and Hermitian positive
semidefinite matrices . . . . . . . . . 217--234
Volker Mehrmann On a generalized Fan inequality . . . . 235--245
S. R. Mohan and
M. Neumann and
K. G. Ramamurthy Nonnegativity of principal minors of
generalized inverses of ${M}$-matrices 247--259
A. Neumaier and
R. S. Varga Exact convergence and divergence domains
for the symmetric successive
overrelaxation iterative (SSOR) method
applied to ${H}$-matrices . . . . . . . 261--272
Arnold Neumaier New techniques for the analysis of
linear interval equations . . . . . . . 273--325
W. Niethammer and
J. de Pillis and
R. S. Varga Convergence of Block Iterative Methods
Applied to Sparse Least-squares Problems 327--341
Gerhard Opfer and
Glenn Schober Richardson's iteration for nonsymmetric
matrices . . . . . . . . . . . . . . . . 343--361
Vlastimil Pták Lyapunov, Bézout, and Hankel . . . . . . 363--390
Axel Ruhe Rational Krylov Sequence Methods for
Eigenvalue Computation . . . . . . . . . 391--405
Hans Schneider Theorems on ${M}$-splittings of a
singular ${M}$-matrix which depend on
graph structure . . . . . . . . . . . . 407--424
R. S. Varga and
W. Niethammer and
D.-Y. Cai $p$-cyclic matrices and the symmetric
successive overrelaxation method . . . . 425--439
Harald K. Wimmer The algebraic Riccati equation:
conditions for the existence and
uniqueness of solutions . . . . . . . . 441--452
Christoph Zenger Dual operator norms and the spectra of
matrices . . . . . . . . . . . . . . . . 453--460
Anonymous Author index to volume 58 . . . . . . . 461--461
Anonymous Editorial Board . . . . . . . . . . . . ii--iii
Richard H. Hudson and
Thomas L. Markham Alfred T. Brauer as a mathematician and
teacher . . . . . . . . . . . . . . . . 1--17
E. Kaszkurewicz and
L. Hsu On two classes of matrices with positive
diagonal solutions to the Lyapunov
equation . . . . . . . . . . . . . . . . 19--27
Vlastimil Pták Bézoutians and projections . . . . . . . 29--42
Vlastimil Pták Explicit expressions for Bézoutians . . . 43--54
LeRoy B. Beasley and
Norman J. Pullman Boolean-rank-preserving operators and
Boolean-rank-$1$ spaces . . . . . . . . 55--77
Bradley W. Dickinson An inverse problem for Toeplitz matrices 79--83
Moody T. Chu A simple application of the homotopy
method to symmetric eigenvalue problems 85--90
W. H. M. Zijm Generalized eigenvectors and sets of
nonnegative matrices . . . . . . . . . . 91--113
Siri Krishan Wasan A new proof of Korzhik's result on burst
distributions . . . . . . . . . . . . . 115--119
Henrik Bresinsky Minimal free resolutions of monomial
curves in ${\bf P}^{3}_{k}$ . . . . . . 121--129
Victor Klee and
Richard Ladner and
Rachel Manber Signsolvability revisited . . . . . . . 131--157
Jan Mandel A convergence analysis of the iterative
aggregation method with one parameter 159--169
Sujit Kumar Mitra The matrix equations $AX = C$, $X B = D$ 171--181
LeRoy Beasley and
E. E. Underwood The 1983 Utah State University
Department of Mathematics Conference, 9,
10, and 11 June 1983, Logan, Utah . . . 183--211
W. A. Coppel Review of \booktitleLinear Systems and
Operators in Hilbert Space, by Paul A.
Fuhrmann and matrix polynomials, by I.
Gohberg, P. Lancaster, and L. Rodman . . 213--214
Anonymous Author index to volume 59 . . . . . . . 215--215
Anonymous Editorial Board . . . . . . . . . . . . i--ii
D. F. McAllister and
G. W. Stewart and
W. J. Stewart On a Rayleigh--Ritz Refinement Technique
for Nearly Uncoupled Stochastic Matrices 1--25
J. J. Dongarra and
J. R. Gabriel and
D. D. Koelling and
J. H. Wilkinson The eigenvalue problem for Hermitian
matrices with time reversal symmetry . . 27--42
P. Deift and
T. Nanda On the determination of a tridiagonal
matrix from its spectrum and a submatrix 43--55
Edmond A. Jonckheere New bound on the sensitivity of the
solution of the Lyapunov equation . . . 57--64
A. H. Hoekstra and
F. W. Steutel Limit theorems for Markov chains of
finite rank . . . . . . . . . . . . . . 65--77
Hans Joachim Werner Charakterisierungen von monotonen
matrizen. (German) [Characterizations of
monotone matrices] . . . . . . . . . . . 79--90
Shang Jun Yang Structure of ${\cal H}$-classes in the
semigroup of nonnegative matrices . . . 91--111
R. Verfürth The contraction number of a multigrid
method with mesh ratio $2$ for solving
Poisson's equation . . . . . . . . . . . 113--128
W. N. Anderson, Jr. and
T. D. Morley and
G. E. Trapp Symmetric function means of positive
operators . . . . . . . . . . . . . . . 129--143
Frank Gerth, III Finite Fourier transform for functions
with restricted support . . . . . . . . 145--158
Stephen Barnett Division of generalized polynomials
using the comrade matrix . . . . . . . . 159--175
Jorma Kaarlo Merikoski On the trace and the sum of elements of
a matrix . . . . . . . . . . . . . . . . 177--185
E. Seneta Explicit forms for ergodicity
coefficients and spectrum localization 187--197
Richard A. Brualdi Review of \booktitleKronecker Products
and Matrix Calculus with Applications,
by Alexander Graham . . . . . . . . . . 199--200
Anonymous Author index to volume 60 . . . . . . . 201--201
Anonymous Author index to volumes 41-60
(1981-1984) . . . . . . . . . . . . . . 203--216
Anonymous Editorial Board . . . . . . . . . . . . ii--iii
H. Burkill and
Hazel Perfect Leon Mirsky, 1918--1983 . . . . . . . . 1--10
L. F. Martignon Doubly stochastic matrices with
prescribed positive spectrum . . . . . . 11--13
Gerry Wiener Spectral multiplicity and splitting
results for a class of qualitative
matrices . . . . . . . . . . . . . . . . 15--29
L. Elsner On convexity properties of the spectral
radius of nonnegative matrices . . . . . 31--35
R. E. Hartwig Generalizations of the spectral theorem
for matrices. II. Matrix polynomials
over arbitrary fields . . . . . . . . . 37--53
Alan George and
Joseph Liu and
Esmond Ng Row-ordering schemes for sparse Givens
transformations. I. Bipartite graph
model . . . . . . . . . . . . . . . . . 55--81
G. P. Barker and
B. S. Tam and
Norbol Davila A geometric Gordan--Stiemke theorem . . 83--89
Donald W. Robinson On the covariance of the Moore--Penrose
inverse . . . . . . . . . . . . . . . . 91--99
Horst D. Simon Analysis of the Symmetric Lanczos
Algorithm with Reorthogonalization
Methods . . . . . . . . . . . . . . . . 101--131
Yoshihiro Nakamura Any Hermitian matrix is a linear
combination of four projections . . . . 133--139
Richard A. Brualdi The doubly stochastic matrices of a
vector majorization . . . . . . . . . . 141--154
Miroslav Fiedler Quasidirect decompositions of Hankel and
Toeplitz matrices . . . . . . . . . . . 155--174
Volker Mehrmann On the $LU$ decomposition of
$V$-matrices . . . . . . . . . . . . . . 175--186
John Donald and
John Elwin and
Richard Hager and
Peter Salamon A graph theoretic upper bound on the
permanent of a nonnegative integer
matrix. I . . . . . . . . . . . . . . . 187--198
John Donald and
John Elwin and
Richard Hager and
Peter Salamon A graph theoretic upper bound on the
permanent of a nonnegative integer
matrix. II. The extremal case . . . . . 199--218
Heydar Radjavi Commutativity-preserving operators on
symmetric matrices . . . . . . . . . . . 219--224
Rolf Farnsteiner Quaternionic Lie algebras . . . . . . . 225--231
C. F. Van Loan A Symplectic Method for Approximating
All the Eigenvalues of a Hamiltonian
Matrix . . . . . . . . . . . . . . . . . 233--251
M. J. C. Gover and
S. Barnett Generating polynomials for matrices with
Toeplitz or conjugate-Toeplitz inverses 253--275
Russell Merris and
William Watkins An invariant theory approach to graph
enumeration . . . . . . . . . . . . . . 277--285
Carl Meyer Review of \booktitleNon-Negative
Matrices and Markov Chains, by E. Seneta 287--288
Stephen L. Campbell Review of \booktitlePolynomials and
Linear Control Systems, by Stephen
Barnett . . . . . . . . . . . . . . . . 289--290
L. K. Norris Review of \booktitleStatistical Theory
and Random Matrices by Moshe Carmeli . . 291--292
John F. Monahan Review of \booktitleFitting Linear
Models: an Application of Conjugate
Gradient Algorithms, by Allen McIntosh 293--293
Anonymous Author index to volume 61 . . . . . . . 295--295
Moshe Goldberg Multiplicativity of $\ell_{p}$ norms for
matrices. II . . . . . . . . . . . . . . 1--10
Dan Shemesh Common eigenvectors of two matrices . . 11--18
P. Lancaster and
L. Lerer and
M. Tismenetsky Factored forms for solutions of
${AX}-{XB}={C}$ and ${X}-{AXB}={C}$ in
companion matrices . . . . . . . . . . . 19--49
A. C. M. Ran and
L. Rodman Stability of invariant maximal
semidefinite subspaces. I . . . . . . . 51--86
Robert Beauwens Upper eigenvalue bounds for pencils of
matrices . . . . . . . . . . . . . . . . 87--104
Gary R. Greenfield and
Daniel Drucker On the discriminant of a trinomial . . . 105--112
R. L. Graham and
N. J. A. Sloane Anti-Hadamard matrices . . . . . . . . . 113--137
B. N. Datta Generalized Hankel matrices of Markov
parameters and their applications to
control problems . . . . . . . . . . . . 139--154
S. L. Ma On rational circulants satisfying $A^m =
dl + \lambda J$ . . . . . . . . . . . . 155--161
Pham Dinh Tao Convergence of a subgradient method for
computing the bound norm of matrices . . 163--182
F. J. Narcowich and
J. D. Ward Toeplitz--Hausdorff systems . . . . . . 183--193
Chong Yun Chao and
Mou Cheng Zhang On generalized circulants over a Boolean
algebra . . . . . . . . . . . . . . . . 195--206
Ji Cheng Chen The nonnegative rank factorizations of
nonnegative matrices . . . . . . . . . . 207--217
Robert Schreiber Generalized iterative methods for
semidefinite linear systems . . . . . . 219--230
Wayne W. Barrett and
Charles R. Johnson Possible spectra of totally positive
matrices . . . . . . . . . . . . . . . . 231--233
I. N. Imam The Schur complement and the inverse
${M}$-matrix problem . . . . . . . . . . 235--240
A. Hadjidimos The optimal solution to the problem of
complex extrapolation of a first-order
scheme . . . . . . . . . . . . . . . . . 241--261
T. E. S. Raghavan On pairs of multidimensional matrices 263--268
Rajendra Bhatia Variation of symmetric tensor powers and
permanents . . . . . . . . . . . . . . . 269--276
B. Curtis Eaves Subdivisions from primal and dual cones
and polytopes . . . . . . . . . . . . . 277--285
Stephen L. Campbell Review of \booktitleMatrix Pencils:
edited by B. Kågström and A. Ruhe . . . . 287--288
Alexander Schrijver Review of \booktitleModern Applied
Mathematics: Optimization and Operations
Research, edited by Bernhard Korte . . . 289--292
Richard A. Brualdi Review of \booktitleElements of Matrix
Theory, by M. L. Mehta . . . . . . . . . 293--294
Anonymous Author index to volume 62 . . . . . . . 295--295
Anonymous Editorial Board . . . . . . . . . . . . ii--iii
Paul A. Fuhrmann On Hamiltonian rational transfer
functions . . . . . . . . . . . . . . . 1--93
R. B. Bapat A stronger form of the
Egorychev--Falikman theorem on
permanents . . . . . . . . . . . . . . . 95--100
Moshe Haviv and
Uriel G. Rothblum Bounds on distances between eigenvalues 101--118
R. Gow and
T. J. Laffey Pairs of alternating forms and products
of two skew-symmetric matrices . . . . . 119--132
A. C. M. Ran and
L. Rodman Stability of invariant maximal
semidefinite subspaces. II.
Applications: selfadjoint rational
matrix functions, algebraic Riccati
equations . . . . . . . . . . . . . . . 133--173
Erik Rosenthal A remark on Burnside's theorem on matrix
algebras . . . . . . . . . . . . . . . . 175--177
Paul Binding The inertia of a Hermitian pencil . . . 179--191
Ephraim Feig and
Shmuel Winograd On the direct sum conjecture . . . . . . 193--219
Robert A. Beezer On the polynomial of a path . . . . . . 221--225
Zden\vek Vav\vrín Inverses of Löwner matrices . . . . . . . 227--236
Richard Gabriel and
Robert E. Hartwig The Drazin inverse as a gradient . . . . 237--252
Satoru Fujishige A system of linear inequalities with a
submodular function on $\{0,\pm 1\}$
vectors . . . . . . . . . . . . . . . . 253--266
D. Vere-Jones An identity involving permanents . . . . 267--270
Marcel G. de Bruin Some explicit formulae in simultaneous
Padé approximation . . . . . . . . . . . 271--281
Yves Chabrillac and
J.-P. Crouzeix Definiteness and semidefiniteness of
quadratic forms revisited . . . . . . . 283--292
Anonymous Author index to volume 63 . . . . . . . 293--293
Anonymous Linear Algebra and Its Applications:
Referees for 1984 . . . . . . . . . . . 295--295
Anonymous Editorial Board . . . . . . . . . . . . ii--iii
Moshe Goldberg Ernst G. Straus (1922--1983) . . . . . . 1--19
Jia Yu Shao On the exponent of a primitive digraph 21--31
Bit Shun Tam On the duality operator of a convex cone 33--56
Roy L. Streit Saddle points and overdetermined complex
equations . . . . . . . . . . . . . . . 57--76
M. Seetharama Gowda Cone characterizations of positive
semidefinite operators on a Hilbert
space . . . . . . . . . . . . . . . . . 77--83
Takao Fujimoto and
Carmen Herrero and
Antonio Villar A sensitivity analysis for linear
systems involving ${M}$-matrices and its
application to the Leontief model . . . 85--91
Zdislav V. Kovarik and
Nagwa Sherif Perturbation of invariant subspaces . . 93--113
Michel Tremon Polynômes de degré minimum connectant deux
projections dans une alg\`ebre de
Banach. (French) [Minimum degree
polynomials connecting two projections
in a Banach algebra] . . . . . . . . . . 115--132
M. Kaykobad Positive solutions of positive linear
systems . . . . . . . . . . . . . . . . 133--140
A. Pinkus Some extremal problems for strictly
totally positive matrices . . . . . . . 141--156
Donald W. Robinson and
Roland Puystjens EP morphisms . . . . . . . . . . . . . . 157--174
Artibano Micali and
Tânia M. M. Campos and
Maria C. Costa e Silva and
Silvia M. M. Ferreira Dérivations dans les alg\`ebres
gamétiques. II. (French) [Derivations in
gametic algebras. II] . . . . . . . . . 175--181
M. D. Gunzburger and
R. A. Nicolaides Elimination with Noninvertible Pivots 183--189
Constantin Z\ualinescu On convex sets in general position . . . 191--198
William F. Trench On the eigenvalue problem for Toeplitz
band matrices . . . . . . . . . . . . . 199--214
Gregery A. Johnson Inverse $N_0$-matrices . . . . . . . . . 215--222
Russell Merris and
William Watkins Inequalities and identities for
generalized matrix functions . . . . . . 223--242
Alvaro R. De Pierro and
Alfredo N. Iusem A simultaneous projections method for
linear inequalities . . . . . . . . . . 243--253
Isabel Faria Permanental roots and the star degree of
a graph . . . . . . . . . . . . . . . . 255--265
H. Bart and
M. A. Kaashoek and
L. Lerer Review of \booktitleMatrix polynomials,
by I. Gohberg, P. Lancaster, and L.
Rodman . . . . . . . . . . . . . . . . . 267--272
Roger Carlson Review of \booktitleApplied Matrix
Algebra in the Statistical Sciences, by
Alexander Basilevsky . . . . . . . . . . 273--277
Anonymous Author index to volume 64 . . . . . . . 279--279
Anonymous Editorial Board . . . . . . . . . . . . ii--iii
J. Fabrykowski and
A. Sharma and
H. Zassenhaus Some Birkhoff interpolation problems on
the roots of unity . . . . . . . . . . . 1--23
Nikolaos M. Missirlis A parallel iterative system solver . . . 25--44
Jonathan E. Spingarn A primal-dual projection method for
solving systems of linear inequalities 45--62
Günter Mayer On the convergence of the Neumann series
in interval analysis . . . . . . . . . . 63--70
Thomas H. Pate Decomposability of symmetric multilinear
functions . . . . . . . . . . . . . . . 71--81
Ravindra Bapat On permanents of positive semidefinite
matrices . . . . . . . . . . . . . . . . 83--90
Jia Yu Shao On a conjecture about the exponent set
of primitive matrices . . . . . . . . . 91--123
K. G. Ramamurthy and
S. R. Mohan Nonnegativity of principal minors of
generalized inverses of ${P}_0$-matrices 125--131
R. A. Brualdi and
A. J. Hoffman On the spectral radius of
$(0,1)$-matrices . . . . . . . . . . . . 133--146
David S. Scott On the accuracy of the Gershgorin circle
theorem for bounding the spread of a
real symmetric matrix . . . . . . . . . 147--155
P.-J. Courtois and
P. Semal On polyhedra of Perron--Frobenius
eigenvectors . . . . . . . . . . . . . . 157--170
Gregory Constantine Lower bounds on the spectra of symmetric
matrices with nonnegative entries . . . 171--178
Sin Chung Chang Generalizations of two inequalities
involving Hermitian forms . . . . . . . 179--187
Takeo Yamada and
David G. Luenberger Generic properties of column-structured
matrices . . . . . . . . . . . . . . . . 189--206
LeRoy B. Beasley and
David A. Gregory and
Norman J. Pullman Nonnegative rank-preserving operators 207--223
Jia Yu Shao Matrices permutation equivalent to
primitive matrices . . . . . . . . . . . 225--247
JoAnn S. Turisco A family of quadratic forms associated
to quadratic mappings of spheres . . . . 249--260
Er Xiong Jiang and
Zhen Yue Zhang A new shift of the ${QL}$ algorithm for
irreducible symmetric tridiagonal
matrices . . . . . . . . . . . . . . . . 261--272
Ky Fan An identity for symmetric bilinear forms 273--279
Anonymous Author index to volume 65 . . . . . . . 281--281
Nicholas D. Alikakos and
Peter W. Bates Erratum: Estimates for the eigenvalues
of the Jordan product of Hermitian
matrices: Nicholas D. Alikakos and Peter
W. Bates, Linear Algebra Appl. \bf
57:41-56 (1984) . . . . . . . . . . . . 282--282
Anonymous Editorial Board . . . . . . . . . . . . ii--iii
Frank Morgan The exterior algebra $\Lambda^k {\bf
R}^n$ and area minimization . . . . . . 1--28
William A. Adkins The pointwise-local-global principle for
solutions of generic linear equations 29--43
Uriel G. Rothblum and
Choon Peng Tan Upper bounds on the maximum modulus of
subdominant eigenvalues of nonnegative
matrices . . . . . . . . . . . . . . . . 45--86
C. Radhakrishna Rao and
Haruo Yanai Generalized inverse of linear
transformations: a geometric approach 87--98
Mark N. Broadie A theorem about antiprisms . . . . . . . 99--111
H. J. Ryser A new look at the optimal assignment
problem . . . . . . . . . . . . . . . . 113--121
Pramod P. Khargonekar and
A. Bülent Özgüler System-theoretic and algebraic aspects
of the rings of stable and proper stable
rational functions . . . . . . . . . . . 123--167
Katsuyoshi Nishio The structure of a real linear
combination of two projections . . . . . 169--176
Charles R. Johnson and
Wayne W. Barrett Spanning-tree extensions of the
Hadamard--Fischer inequalities . . . . . 177--193
Kwangil Koh On the matrix ring over a finite field 195--197
Gerry Wiener Some results concerning invertible
Morishima and anti-Morishima matrices
whose associated digraphs are trees . . 199--219
G. Mühlbach and
M. Gasca A generalization of Sylvester's identity
on determinants and some applications 221--234
Miroslav Fiedler Polynomials and Hankel matrices . . . . 235--248
K. Zi\ketak On a particular case of the inconsistent
linear matrix equation ${AX}+{YB}={C}$ 249--258
J. K. Chung and
Pl. Kannappan and
C. T. Ng A generalization of the cosine-sine
functional equation on groups . . . . . 259--277
Anonymous Author index to volume 66 . . . . . . . 279--279
Anonymous Editorial Board . . . . . . . . . . . . ii--iii
Rudolf Mathar The best Euclidian fit to a given
distance matrix in prescribed dimensions 1--6
Alexander Shapiro Extremal problems on the set of
nonnegative definite matrices . . . . . 7--18
U. Müller-Funk and
F. Pukelsheim and
H. Witting On the duality between locally optimal
tests and optimal experimental designs 19--34
Akimichi Takemura On the equivalence of proportional cell
frequencies and orthogonality of
interaction spaces in $n$-way ANOVA . . 35--49
Halina Frydman A structure of doubly stochastic Markov
chains . . . . . . . . . . . . . . . . . 51--66
Tommy Wright and
How Tsao On an optimal solution for maximizing
the probability of retention in PPS
sampling . . . . . . . . . . . . . . . . 67--80
J. C. Gower Properties of Euclidean and
non-Euclidean distance matrices . . . . 81--97
P. S. S. N. V. P. Rao and
M. Precht On a conjecture of Hoerl and Kennard on
a property of least squares estimators
of regression coefficients . . . . . . . 99--101
D. G. Kabe On a multivariate normal probability
minimization problem . . . . . . . . . . 103--109
A. Giovagnoli and
H. P. Wynn ${G}$-majorization with applications to
matrix orderings . . . . . . . . . . . . 111--135
D. G. Nel A matrix derivation of the asymptotic
covariance matrix of sample correlation
coefficients . . . . . . . . . . . . . . 137--145
George Marsaglia and
Liang-Huei Tsay Matrices and the structure of random
number sequences . . . . . . . . . . . . 147--156
S. Keller-McNulty and
W. J. Kennedy Error-free computation of a reflexive
generalized inverse . . . . . . . . . . 157--167
D. S. G. Pollock Tensor products and matrix differential
calculus . . . . . . . . . . . . . . . . 169--193
James V. Bondar Convexity of acceptance regions of
multivariate tests . . . . . . . . . . . 195--199
Ingram Olkin Estimating a Cholesky decomposition . . 201--205
Hans Joachim Werner More on BLU estimation in regression
models with possibly singular
covariances . . . . . . . . . . . . . . 207--214
Ted H. Szatrowski Asymptotic distributions in the testing
and estimation of the missing-data
multivariate normal linear patterned
mean and correlation matrix . . . . . . 215--231
Douglas P. Wiens On some pattern-reduction matrices which
appear in statistics . . . . . . . . . . 233--258
R. W. Farebrother Linear unbiased approximators of the
disturbances in the standard linear
model . . . . . . . . . . . . . . . . . 259--274
Hilmar Drygas A note on the inverse-partitioned-matrix
method in linear regression analysis . . 275--277
Anonymous Author index to volume 67 . . . . . . . 279--279
Anonymous Editorial Board . . . . . . . . . . . . ii--iii
Ingram Olkin and
C. Radhakrishna Rao and
George P. H. Styan Preface . . . . . . . . . . . . . . . . vii--vii
L. Elsner and
K. P. Hadeler Lothar Collatz --- on the occasion of
his 75th birthday . . . . . . . . . . . 1--8
Abraham Berman and
Daniel Hershkowitz and
Charles R. Johnson Linear transformations that preserve
certain positivity classes of matrices 9--29
Gerry Wiener A theorem concerning certain sign
symmetric matrices whose inverses are
Morishima . . . . . . . . . . . . . . . 31--45
Samuel Karlin and
Friedemann Ost Some monotonicity properties of Schur
powers of matrices and related
inequalities . . . . . . . . . . . . . . 47--65
T. Shamir and
P. A. Fuhrmann Minimal factorizations of rational
matrix functions in terms of polynomial
models . . . . . . . . . . . . . . . . . 67--91
Jorma Kaarlo Merikoski and
Henry Wolkowicz Improving eigenvalue bounds using extra
bounds . . . . . . . . . . . . . . . . . 93--113
A. J. Hughes-Hallett Techniques which accelerate the
convergence of first order iterations
automatically . . . . . . . . . . . . . 115--130
Jia Yu Shao Products of irreducible matrices . . . . 131--143
Jean-Claude Evard On matrix functions which commute with
their derivative . . . . . . . . . . . . 145--178
B. N. Parlett and
B. Nour-Omid The Use of a Refined Error Bound When
Updating Eigenvalues of Tridiagonals . . 179--219
Robert Beauwens On Axelsson's perturbations . . . . . . 221--242
F. J. Gaines and
T. J. Laffey Report on the Dublin Matrix Theory
Conference, March 1984: Matrices over
finite fields, Graciano de Oliveira,
Departamento de Matemática, Universidad
de Coimbra, Coimbra, Portugal . . . . . 243--247
M. R. F. Smyth and
T. T. West Report on the Dublin matrix theory
conference, March 1984: Barnes and
support idempotents . . . . . . . . . . 247--249
Thomas J. Laffey Report on the Dublin matrix theory
conference, March 1984: Products of
skew-symmetric matrices . . . . . . . . 249--251
Bob Grone Report on the Dublin matrix theory
conference, March 1984: Computation of
immanants . . . . . . . . . . . . . . . 252--254
Richard M. Timoney Report on the Dublin matrix theory
conference, March 1984: Reinhardt
decompositions of operator matrix spaces 255--258
D. W. Lewis Report on the Dublin matrix theory
conference, March 1984: Hermitian forms,
full rings, and von Neumann regular
matrices . . . . . . . . . . . . . . . . 258--260
N. B. Backhouse and
A. G. Fellouris Report on the Dublin matrix theory
conference, March 1984: Grassmann
matrices . . . . . . . . . . . . . . . . 260--263
Finbarr Holland Report on the Dublin Matrix Theory
Conference, March 1984: Counterparts of
Toeplitz and Hankel operators on $C^n$ 263--271
Derek O'Connor Report on the Dublin matrix theory
conference, March 1984: An introduction
to sparse matrices . . . . . . . . . . . 271--272
H. K. Wimmer Report on the Dublin matrix theory
conference, March 1984: Unmixed
solutions of the algebraic Riccati
equation . . . . . . . . . . . . . . . . 272--274
Estelle Basor Review of \booktitleInvertibility and
Asymptotics of Toeplitz Matrices, by A.
Böttcher and B. Silbermann . . . . . . . 275--278
Anonymous Author index to volume 68 . . . . . . . 279--279
Anonymous Editorial Board . . . . . . . . . . . . ii--iii
Anonymous Lothar Collatz --- On the occasion of
his 75th birthday . . . . . . . . . . . ??
Fergus J. Gaines and
Thomas J. Laffey The mathematical work of Walter
Ledermann . . . . . . . . . . . . . . . 1--8
J. Maroulas Factorization of matrix polynomials with
multiple roots . . . . . . . . . . . . . 9--32
Shmuel Friedland The maximal eigenvalue of $0$-$1$
matrices with prescribed number of ones 33--69
Robert L. Ellis and
Israel Gohberg and
David Lay Factorization of block matrices . . . . 71--93
Thomas Lickteig Typical tensorial rank . . . . . . . . . 95--120
Andrzej Pokrzywa On continuity of spectra in norm ideals 121--130
Heinz Langer and
Branko Najman Some interlacing results for indefinite
Hermitian matrices . . . . . . . . . . . 131--154
T. L. Markham and
M. Neumann and
R. J. Plemmons Convergence of a Direct-iterative Method
for Large-scale Least-squares Problems 155--167
Jun Tomiyama On the geometry of positive maps in
matrix algebras. II . . . . . . . . . . 169--177
P. Fischer and
E. R. Swart Three-dimensional line stochastic
matrices and extreme points . . . . . . 179--203
Clinton J. Oxenrider and
Richard D. Hill On the matrix reorderings ${\Gamma}$ and
${\Psi}$ . . . . . . . . . . . . . . . . 205--212
S. L. Ma Polynomial addition sets and polynomial
digraphs . . . . . . . . . . . . . . . . 213--230
S. L. Ma On multipliers of polynomial addition
sets . . . . . . . . . . . . . . . . . . 231--238
Michael L. Bolla Isomorphisms between infinite matrix
rings . . . . . . . . . . . . . . . . . 239--247
Werner Büchi and
Michael Clausen On a class of primary algebras of
minimal rank . . . . . . . . . . . . . . 249--268
Ian M. Anderson Determinantal ideals and the Capelli
identities . . . . . . . . . . . . . . . 269--277
Anonymous Author index to volume 69 . . . . . . . 279--279
Alexander Shapiro Identifiability of factor analysis: some
results and open problems . . . . . . . 1--7
Jerzy K. Baksalary and
Augustyn Markiewicz Admissible linear estimators in
restricted linear models . . . . . . . . 9--19
G. Consonni and
A. P. Dawid Decomposition and Bayesian analysis of
invariant normal linear models . . . . . 21--49
M. W. Browne The information matrix for image factor
analysis . . . . . . . . . . . . . . . . 51--59
Jerzy K. Baksalary Strong unified-least-squares matrices
for a general linear model . . . . . . . 61--65
Czes\law St\kepniak Ordering of nonnegative definite
matrices with application to comparison
of linear models . . . . . . . . . . . . 67--71
Truc T. Nguyen and
Allan R. Sampson The geometry of certain fixed marginal
probability distributions . . . . . . . 73--87
Harry Joe An ordering of dependence for
contingency tables . . . . . . . . . . . 89--103
C. Radhakrishna Rao and
Haruo Yanai Generalized inverses of partitioned
matrices useful in statistical
applications . . . . . . . . . . . . . . 105--113
Javier F. Cabrera and
Geoffrey S. Watson The algebra of hyperboloids of
revolution . . . . . . . . . . . . . . . 115--130
Leon J. Gleser and
David S. Moore Positive dependence in Markov chains . . 131--146
T. W. Anderson and
I. Olkin Maximum-likelihood estimation of the
parameters of a multivariate normal
distribution . . . . . . . . . . . . . . 147--171
Robb J. Muirhead and
Pui Lam Leung Estimating functions of canonical
correlation coefficients . . . . . . . . 173--183
C. G. Khatri A note on idempotent matrices . . . . . 185--195
N. N. Chan and
T. K. Mak Estimation in multivariate
errors-in-variables models . . . . . . . 197--207
Alastair J. Scott and
George P. H. Styan On a separation theorem for generalized
eigenvalues and a problem in the
analysis of sample surveys . . . . . . . 209--224
F. J. Henk Don The use of generalized inverses in
restricted maximum likelihood . . . . . 225--240
Francis Hsuan and
Patricia Langenberg and
Albert Getson The $\{2\}$-inverse with applications in
statistics . . . . . . . . . . . . . . . 241--248
C. Radhakrishna Rao The inefficiency of least squares:
extensions of the Kantorovich inequality 249--255
H. Neudecker On the dispersion matrix of a matrix
quadratic form connected with the
noncentral Wishart distribution . . . . 257--262
Jerzy K. Baksalary and
Friedrich Pukelsheim A note on the matrix ordering of special
${C}$-matrices . . . . . . . . . . . . . 263--267
C. C. Paige The General Linear Model and the
Generalized Singular Value Decomposition 269--284
Chi Song Wong On the use of differentials in
statistics . . . . . . . . . . . . . . . 285--299
Anonymous Comment . . . . . . . . . . . . . . . . 301--301
A. El Mossadeq and
A. Kobilinsky and
D. Collombier Construction d'orthogonaux dans les
groupes abéliens finis et confusions
d'effets dans les plans factoriels.
(French) [Construction of orthogonals in
finite Abelian groups and confounding
effects in factorial designs] . . . . . 303--320
André Kobilinsky Confounding in relation to duality of
finite Abelian groups . . . . . . . . . 321--347
R. A. Bailey Factorial design and Abelian groups . . 349--368
Anonymous Author index to volume 70 . . . . . . . 369--369
Anonymous Editorial Board . . . . . . . . . . . . ii--iii
E. Deutsch and
K. P. Hadeler and
T. J. Laffey Helmut Wielandt . . . . . . . . . . . . 1--8
J. Aczél Solution of a system of
functional-differential equations
arising from an optimization problem . . 9--13
T. Ando Approximation in trace norm by positive
semidefinite matrices . . . . . . . . . 15--21
Natália Bebiano and
João Filipe Queiró The determinant of the sum of two normal
matrices with prescribed eigenvalues . . 23--28
A. Blokhuis and
J. J. Seidel Remark on Wielandt's visibility theorem 29--30
Richard A. Brualdi Combinatorial verification of the
elementary divisors of tensor products 31--47
David Carlson and
Stephen Pierce Common eigenvectors and
quasicommutativity of sets of
simultaneously triangularizable matrices 49--55
Emeric Deutsch and
Michael Neumann On the first and second order
derivatives of the Perron vector . . . . 57--76
L. Elsner An Optimal Bound for the Spectral
Variation of Two Matrices . . . . . . . 77--80
Miroslav Fiedler and
Charles R. Johnson and
Thomas L. Markham and
Michael Neumann A trace inequality for ${M}$-matrices
and the symmetrizability of a real
matrix by a positive diagonal matrix . . 81--94
Shmuel Friedland Weak interlacing properties of totally
positive matrices . . . . . . . . . . . 95--100
Takao Fujimoto and
Ulrich Krause Strong ergodicity for strictly
increasing nonlinear operators . . . . . 101--112
Robert M. Guralnick Roth's theorems for sets of matrices . . 113--117
Daniel Hershkowitz and
Hans Schneider Lyapunov diagonal semistability of real
${H}$-matrices . . . . . . . . . . . . . 119--149
Armin Herzer and
Bertram Huppert Ein Satz von I. Schur über vertauschbare
Matrizen. (German) [A theorem of I.
Schur on commutative matrices] . . . . . 151--158
Alan J. Hoffman Note on a conjecture of Kojima and
Saigal . . . . . . . . . . . . . . . . . 159--160
Charles R. Johnson and
Ravinder Kumar and
Henry Wolkowicz Lower bounds for the spread of a matrix 161--173
Ofra Kessler and
Abraham Berman Matrices with a transitive graph and
inverse ${M}$-matrices . . . . . . . . . 175--185
Max Koecher The generalized inverse of integral
matrices . . . . . . . . . . . . . . . . 187--198
Thomas J. Laffey The minimal dimension of maximal
commutative subalgebras of full matrix
algebras . . . . . . . . . . . . . . . . 199--212
D. W. Lewis A determinantal identity for skewfields 213--217
Marvin Marcus and
Markus Sandy Conditions for the generalized numerical
range to be real . . . . . . . . . . . . 219--239
Henryk Minc Recurrence formulas for permanents of
$(0,1)$-circulants . . . . . . . . . . . 241--265
Vlastimil Pták and
Harald K. Wimmer On the Bézoutian for polynomial matrices 267--272
André Ran and
Frank Uhlig A note on a new description of invariant
maximal nonnegative subspaces in an
indefinite inner product space . . . . . 273--274
Donald W. Robinson Covariance of Moore--Penrose inverses
with respect to an invertible matrix . . 275--281
Y\=uji Sakai Continuous versions of an inequality due
to Hoffman and Wielandt . . . . . . . . 283--287
Peter Schmid Rational matrix groups of a special type 289--293
Olga Taussky Remarks concerning possible connections
between Fermat's last theorem and
integral $p\times p$ circulants . . . . 295--297
R. C. Thompson $p$-adic matrix valued inequalities . . 299--308
Joachim von Below A characteristic equation associated to
an eigenvalue problem on $c^2$-networks 309--325
Hans Joachim Werner Drazin-monotonicity characterizations
for property-$n$ matrices . . . . . . . 327--337
Hårald K. Wimmer Powers of a matrix and a formula for the
moduli of its eigenvalues . . . . . . . 339--340
Anonymous Author index to volume 71 . . . . . . . 341--342
Anonymous Editorial Board . . . . . . . . . . . . ii--iii
D. A. Lutz and
R. Schäfke On the identification and stability of
formal invariants for singular
differential equations . . . . . . . . . 1--46
S.-P. Han and
O. Fujiwara An inertia theorem for symmetric
matrices and its application to
nonlinear programming . . . . . . . . . 47--58
Edgardo N. Güichal and
Bahía Blanca Argentina A relation between Gram and Wronsky
determinants . . . . . . . . . . . . . . 59--72
T. Downs A degree property of rational matrices 73--84
Robert M. Guralnick Invariants of finite linear groups on
relatively free algebras . . . . . . . . 85--92
L. N. Vaserstein On arithmetic subgroups of simple
algebraic groups . . . . . . . . . . . . 93--96
M. Kaykobad Positive solutions of a class of linear
systems . . . . . . . . . . . . . . . . 97--105
R. B. Bapat and
V. S. Sunder On majorization and Schur products . . . 107--117
Arye Nehorai and
Martin Morf A unified derivation for fast estimation
algorithms by the conjugate direction
method . . . . . . . . . . . . . . . . . 119--143
Steven R. Waters and
Richard D. Hill An inertial decomposition and related
range results . . . . . . . . . . . . . 145--153
Steven R. Waters and
Richard D. Hill On the inertia and range of
transformations of positive definite
matrices . . . . . . . . . . . . . . . . 155--160
Steven R. Waters and
Richard D. Hill Generalized controllability and inertia
theory. II . . . . . . . . . . . . . . . 161--166
Heinrich Puschmann and
Marcelo Nordio Zwei unzulässige Verstärkungen der
Vermutung von Wilkinson. (German) [Two
inadmissible strengthenings of
Wilkinson's conjecture] . . . . . . . . 167--176
François Dubeau On band circulant matrices in the
periodic spline interpolation theory . . 177--182
Anonymous Author index to volume 72 . . . . . . . 183--183
Anonymous Editorial Board . . . . . . . . . . . . i--iii
A. Bülent Özgüler Polynomial characterizations of
$({H},{F})$-invariant subspaces with
applications . . . . . . . . . . . . . . 1--31
R. M. M. Mattheij and
M. D. Smooke Estimates for the inverse of tridiagonal
matrices arising in boundary value
problems . . . . . . . . . . . . . . . . 33--57
Roger D. Nussbaum Convexity and log convexity for the
spectral radius . . . . . . . . . . . . 59--122
Moshe Goldberg Mixed multiplicativity and $\ell_p$
norms for matrices . . . . . . . . . . . 123--131
Robert A. Beezer Trivalent orbit polynomial graphs . . . 133--146
Hu Yun Sha Estimation of the eigenvalues of $A B$
for $A > 0$, $B > 0$ . . . . . . . . . . . 147--150
Hong Yuan The $K$th largest eigenvalue of a tree 151--155
Daniel Hershkowitz Stability of acyclic matrices . . . . . 157--169
T. Shamir An algebraic approach to the partial
realization problem . . . . . . . . . . 171--196
LeRoy B. Beasley and
Norman J. Pullman Fuzzy rank-preserving operators . . . . 197--211
Yoo Pyo Hong and
Roger A. Horn and
Charles R. Johnson On the reduction of pairs of Hermitian
or symmetric matrices to diagonal form
by congruence . . . . . . . . . . . . . 213--226
Ion Zaballa Existence of matrices with prescribed
entries . . . . . . . . . . . . . . . . 227--280
Anonymous Author index to volume 73 . . . . . . . 281--281
M. L. Narayana Rao and
K. Satyanarayana On Sherk's plane of order $27$ . . . . . 1--9
Marc Artzrouni On the convergence of infinite products
of matrices . . . . . . . . . . . . . . 11--21
Daniel Hershkowitz and
Charles R. Johnson Linear transformations that map the
${P}$-matrices into themselves . . . . . 23--38
A. R. Sourour Antiinvariant subspaces of maximum
dimension . . . . . . . . . . . . . . . 38--45
A. R. Sourour Anti-invariant subspaces of maximum
dimension . . . . . . . . . . . . . . . 39--45
Leslie V. Foster Rank and null space calculations using
matrix decomposition without column
interchanges . . . . . . . . . . . . . . 47--71
William C. Waterhouse Linear transformations on selfadjoint
matrices: the preservation of
rank-one-plus-scalar . . . . . . . . . . 73--85
Joseph A. Ball and
Israel Gohberg and
School of Mathematical Sciences Tel Aviv University Tel Aviv and
Israel Raymond and
Beverly Sackler Faculty of Exact Sciences Shift invariant subspaces,
factorization, and interpolation for
matrices. I. The canonical case . . . . 87--150
C. K. Fong Norm estimates related to
self-commutators . . . . . . . . . . . . 151--156
Alfred Bruckstein and
Thomas Kailath Some matrix factorization identities for
discrete inverse scattering . . . . . . 157--172
Shmuel Friedland Limit eigenvalues of nonnegative
matrices . . . . . . . . . . . . . . . . 173--178
O. Axelsson A general incomplete block-matrix
factorization method . . . . . . . . . . 179--190
William F. Trench Solution of systems with Toeplitz
matrices generated by rational functions 191--211
Guo Rong Wang A Cramer rule for minimum-norm $({T})$
least-squares $({S})$ solution of
inconsistent linear equations . . . . . 213--218
R. B. Bapat A bound for the permanent of the
Laplacian matrix . . . . . . . . . . . . 219--223
Miroslav Fiedler and
Thomas L. Markham Completing a matrix when certain entries
of its inverse are specified . . . . . . 225--237
Sujit Kumar Mitra and
Patrick L. Odell On parallel summability of matrices . . 239--255
David Carlson What are Schur complements, anyway? . . 257--275
B. N. Datta Review of \booktitleMatrices and
Indefinite Scalar Products, by I.
Gohberg, P. Lancaster, and L. Rodman . . 277--279
Anonymous Author index to volume 74 . . . . . . . 281--281
T. Kailath and
A. Bruckstein and
D. Morgan Fast matrix factorizations via discrete
transmission lines . . . . . . . . . . . 1--25
Carsten Thomassen Sign-nonsingular matrices and even
cycles in directed graphs . . . . . . . 27--41
Carl de Boor and
Edward B. Saff Finite sequences of orthogonal
polynomials connected by a Jacobi matrix 43--55
Alan Cobham Stochastic automata with large state
spaces and low rank . . . . . . . . . . 57--66
Lee Klingler and
Lawrence S. Levy Sweeping-similarity of matrices . . . . 67--104
Linda H. Host Tactical decompositions in uniform
normal designs . . . . . . . . . . . . . 105--116
A. Hadjidimos and
A. Psimarni and
A. Yeyios On the convergence of some generalized
iterative methods . . . . . . . . . . . 117--132
Clark Jeffries Qualitative stability of certain
nonlinear systems . . . . . . . . . . . 133--144
T. Kailath and
I. Koltracht Matrices with block Toeplitz inverses 145--153
Boris Reichstein On symmetric operators of higher degree
and their applications . . . . . . . . . 155--172
Asher Ben-Artzi and
Tamir Shalom On inversion of Toeplitz and close to
Toeplitz matrices . . . . . . . . . . . 173--192
R. A. Mena On discriminant-like polynomials . . . . 193--201
Alan George and
Joseph Liu and
Esmond Ng Row-ordering schemes for sparse Givens
transformations. II. Implicit graph
model . . . . . . . . . . . . . . . . . 203--223
Alan George and
Joseph Liu and
Esmond Ng Row-ordering schemes for sparse Givens
transformations. III. Analyses for a
model problem . . . . . . . . . . . . . 225--240
Vicente G. Hernández and
Fernando C. Incertis A block bidiagonal form for block
companion matrices . . . . . . . . . . . 241--256
Allen J. Schwenk Tight bounds on the spectral radius of
asymmetric nonnegative matrices . . . . 257--265
David Carlson and
Thomas L. Markham and
Frank Uhlig Emilie Haynsworth, 1916--1985 . . . . . 269--276
Anonymous Addendum to volume 70: the second volume
of the special issue on statistics . . . 277--279
Anonymous Author index to volume 75 . . . . . . . 281--281
R. E. Funderlic and
C. D. Meyer, Jr. Sensitivity of the Stationary
Distribution Vector for an Ergodic
Markov Chain . . . . . . . . . . . . . . 1--17
R. J. Caron and
N. I. M. Gould Finding a positive semidefinite interval
for a parametric matrix . . . . . . . . 19--29
Suk Geun Hwang A note on a conjecture on permanents . . 31--44
Chi Kwong Li The decomposable numerical radius and
numerical radius of a compound matrix 45--58
P. J. Courtois and
P. Semal Block Iterative Algorithms for
Stochastic Matrices . . . . . . . . . . 59--70
R. J. Pavur and
T. O. Lewis The role of powers of matrices in
determining the distribution of
quadratic forms involving the complex
normal distribution . . . . . . . . . . 71--84
I. Gohberg and
L. Rodman On the distance between lattices of
invariant subspaces of matrices . . . . 85--120
Georg Heinig and
Uwe Jungnickel Hankel matrices generated by the Markov
parameters of rational functions . . . . 121--135
Georg Heinig and
Uwe Jungnickel Lyapunov equations for companion
matrices . . . . . . . . . . . . . . . . 137--147
Boris Shekhtman On some problems of M. Z. Nashed on
outer inverses . . . . . . . . . . . . . 149--152
R. B. Bapat and
V. S. Sunder An extremal property of the permanent
and the determinant . . . . . . . . . . 153--163
Frank Okoh Applications of linear functionals to
Kronecker modules. I . . . . . . . . . . 165--188
Frank Okoh Applications of linear functionals to
Kronecker modules. II . . . . . . . . . 189--204
Yih T. Tsay and
Leang S. Shieh and
Jason S. H. Tsai A fast method for computing the
principal $n$th roots of complex
matrices . . . . . . . . . . . . . . . . 205--221
Tony F. Chan and
Diana C. Resasco On the condition of nearly singular
matrices under rank-$1$ perturbations 223--232
Wei Lu Cao and
William J. Stewart A note on inverses of Hessenberg-like
matrices . . . . . . . . . . . . . . . . 233--240
R. E. Hartwig The reverse order law revisited . . . . 241--246
Elias A. Lipitakis Approximate root-free factorization
techniques for solving elliptic
difference equations in three space
variables . . . . . . . . . . . . . . . 247--269
Alastair Hall Conditions for a matrix Kronecker lemma 271--277
Edward Formanek Review of \booktitleLinear Algebra over
Commutative Rings, by Bernard R.
McDonald . . . . . . . . . . . . . . . . 279--280
Anonymous Author index to volume 76 . . . . . . . 281--281
Anonymous Editorial Board . . . . . . . . . . . . ii--iii
Alan George and
G. W. Stewart and
Robert Voigt Preface . . . . . . . . . . . . . . . . 1--2
Owe Axelsson and
Ben Polman On approximate factorization methods for
block matrices suitable for vector and
parallel processors . . . . . . . . . . 3--26
A. W. Boja\'nczyk Systolic implementation of the lattice
algorithm for least squares linear
prediction problems . . . . . . . . . . 27--42
A. Boja\'nczyk and
R. P. Brent Parallel Solution of Certain Toeplitz
Least-Squares Problems . . . . . . . . . 43--60
Roy O. Davies and
J. J. Modi A direct method for completing
eigenproblem solutions on a parallel
computer . . . . . . . . . . . . . . . . 61--74
Jean-Marc Delosme and
Ilse C. F. Ipsen Parallel Solution of Symmetric Positive
Definite Systems with Hyperbolic
Rotations . . . . . . . . . . . . . . . 75--111
Jack J. Dongarra and
Linda Kaufman and
Sven Hammarling Squeezing the Most Out of Eigenvalue
Solvers on High-Performance Computers 113--136
Lars Eldén and
Robert Schreiber A Systolic Array for the Regularization
of Ill-Conditioned Least Squares
Problems with Triangular Toeplitz Matrix 137--147
R. E. Funderlic and
A. Geist Torus Data Flow for Parallel Computation
of Missized Matrix Problems . . . . . . 149--164
Alan George and
Michael T. Heath and
Joseph Liu Parallel Cholesky Factorization on a
Shared-Memory Multiprocessor . . . . . . 165--187
M. T. Heath and
D. C. Sorensen A pipelined Givens method for computing
the $QR$ factorization of a sparse
matrix . . . . . . . . . . . . . . . . . 189--203
Ilse C. F. Ipsen and
Youcef Saad and
Martin H. Schultz Complexity of Dense-Linear-System
Solution on a Multiprocessor Ring . . . 205--239
Michael R. Leuze Parallel triangularization of
substructured finite element problems 241--258
Franklin T. Luk A Triangular Processor Array for
Computing Singular Values . . . . . . . 259--274
Dianne P. O'Leary and
G. W. Stewart Assignment and Scheduling in Parallel
Matrix Factorization . . . . . . . . . . 275--299
C. C. Paige and
P. Van Dooren On the Quadratic Convergence of
Kogbetliantz's Algorithm for Computing
the Singular Value Decomposition . . . . 301--313
Youcef Saad Communication complexity of the Gaussian
elimination algorithm on multiprocessors 315--340
David S. Scott Avoiding the square-root bottleneck in
the Choleski factorization of a matrix
on a parallel computer . . . . . . . . . 341--344
David S. Scott and
Michael T. Heath and
Robert C. Ward Parallel Block Jacobi Eigenvalue
Algorithms Using Systolic Arrays . . . . 345--355
Anonymous Author index to volume 77 . . . . . . . 357--357
John Sylvester On the dimension of spaces of linear
transformations satisfying rank
conditions . . . . . . . . . . . . . . . 1--10
Keisuke Uchimura Perron--Frobenius theory of some
algebraic equations associated with
context free grammars . . . . . . . . . 11--22
Raphael Loewy Principal minors and diagonal similarity
of matrices . . . . . . . . . . . . . . 23--64
Eitan Tadmor Complex symmetric matrices with strongly
stable iterates . . . . . . . . . . . . 65--77
Daniel Hershkowitz and
Volker Mehrmann Linear transformations which map the
classes of $\omega$-matrices and
$\tau$-matrices into or onto themselves 79--106
R. B. Bapat Applications of an inequality in
information theory to matrices . . . . . 107--117
Moody Chu A continuous approximation to the
generalized Schur decomposition . . . . 119--132
J. A. Dias da Silva On the multiplicative inverse eigenvalue
problem . . . . . . . . . . . . . . . . 133--145
Gisbert Stoyan On maximum principles for monotone
matrices . . . . . . . . . . . . . . . . 147--161
Luiz A. Peresi On baric algebras with prescribed
automorphisms . . . . . . . . . . . . . 163--185
J. da Providência and
N. Bebiano Matrices satisfying a conjecture of G.
N. de Oliveira on determinants . . . . . 187--198
Stephen Demko Condition numbers of rectangular systems
and bounds for generalized inverses . . 199--206
Wen-Wei Lin On reducing infinite eigenvalues of
regular pencils by a nonequivalence
transformation . . . . . . . . . . . . . 207--231
L. B. Rall Review of \booktitleIntroduction to
Interval Computations, by Götz Alefeld
and Jürgen Herzberger . . . . . . . . . . 233--234
Jean Della Dora and
François Robert Noël Gastinel and computational
mathematics . . . . . . . . . . . . . . 237--247
Anonymous Author index to volume 78 . . . . . . . 249--249
F. Conceição Silva On the number of invariant polynomials
of the matrix ${XAX}^{-1}+{B}$ . . . . . 1--21
Zhi Hao Cao and
Yin Zhang The contraction number of a multigrid
method with mesh ratio two for solving
model problems . . . . . . . . . . . . . 23--32
Wai-Shing Tang On positive linear maps between matrix
algebras . . . . . . . . . . . . . . . . 33--44
Dario Bini Border rank of $m \times n \times (m n -
q)$ tensors . . . . . . . . . . . . . . 45--51
Patrick Halpin Symmetric ${T}$-ideals . . . . . . . . . 53--59
H. Narayanan On the decomposition of vector spaces 61--98
Michel Gendreau On the location of eigenvalues of
off-diagonal constant matrices . . . . . 99--102
Sui Sun Cheng and
Tzon Tzer Lu Convex regular domains of tridiagonal
matrices . . . . . . . . . . . . . . . . 103--125
Suk Geun Hwang The monotonicity of and the Dokovi\'c
conjectures on permanents of doubly
stochastic matrices . . . . . . . . . . 127--151
Joel E. Cohen Perturbation theory of completely mixed
matrix games . . . . . . . . . . . . . . 153--162
James Weldon Demmel Computing Stable Eigendecompositions of
Matrices . . . . . . . . . . . . . . . . 163--193
Raphael Loewy and
Bit Shun Tam Complementation in the face lattice of a
proper cone . . . . . . . . . . . . . . 195--207
Martin E. Walter On the norm of a Schur product . . . . . 209--213
Mohan Shrikhande A survey of some problems in
combinatorial designs---a matrix
approach . . . . . . . . . . . . . . . . 215--247
Anonymous Author index to volume 79 . . . . . . . 249--249
Anonymous Editorial Board . . . . . . . . . . . . ii--iii
Pramod P. Khargonekar and
Kameshwar R. Poolla Polynomial matrix-fraction
representations for linear time-varying
systems . . . . . . . . . . . . . . . . 1--37
Cecil E. Robinson, Jr. Green's relations for substochastic
matrices . . . . . . . . . . . . . . . . 39--53
Chi Kwong Li On the higher numerical radius and
spectral norm . . . . . . . . . . . . . 55--70
Moody T. Chu A Differential Equation Approach to the
Singular Value Decomposition of
Bidiagonal Matrices . . . . . . . . . . 71--79
I. Gohberg and
T. Kailath and
I. Koltracht Efficient solution of linear systems of
equations with recursive structure . . . 81--113
Seymour V. Parter On the distribution of the singular
values of Toeplitz matrices . . . . . . 115--130
Francesco Romani On the additive structure of the
inverses of banded matrices . . . . . . 131--140
Jerome Dancis A quantitative formulation of
Sylvester's law of inertia. III . . . . 141--158
Daniel Hershkowitz and
Charles R. Johnson Spectra of matrices with $P$-matrix
powers . . . . . . . . . . . . . . . . . 159--171
Abraham Berman and
Yair Censor and
Hans Schneider Haifa 1985 Conference on Matrix Theory 173--260
Anonymous Author index to volume 80 . . . . . . . 261--261
Anonymous Author index to volumes 61-80
(1984-1986) . . . . . . . . . . . . . . 263--275
Anonymous Editorial Board . . . . . . . . . . . . ii--iii
Richard A. Brualdi and
H. J. Ryser Classes of matrices associated with the
optimal assignment problem . . . . . . . 1--17
Hannu Väliaho Criteria for copositive matrices . . . . 19--34
Priscilla S. Bremser A generalization of Gaussian sums to
vector spaces over finite fields . . . . 35--45
Natália Bebiano Some analogies between the $c$-numerical
range and a certain variation on this
concept . . . . . . . . . . . . . . . . 47--54
M. Madalena Martins On the convergence of the modified
overrelaxation method . . . . . . . . . 55--73
S.-P. Han Relative eigenvalues of Hermitian
matrices . . . . . . . . . . . . . . . . 75--88
Paul A. Fuhrmann Remarks on the inversion of Hankel
matrices . . . . . . . . . . . . . . . . 89--104
V. Hari On the convergence of cyclic Jacobi-like
processes . . . . . . . . . . . . . . . 105--127
Eberhard Schock What are the proper condition numbers of
discretized ill-posed problems . . . . . 129--136
Jacob T. B. Beard, Jr. Matrix fields, regular and irregular: a
complete fundamental characterization 137--152
Friedrich Roesler Riemann's hypothesis as an eigenvalue
problem . . . . . . . . . . . . . . . . 153--198
Vlastimil Pták Hankel matrices and the infinite
companion . . . . . . . . . . . . . . . 199--206
Hans Goller Shorted operators and rank decomposition
matrices . . . . . . . . . . . . . . . . 207--236
Wayne W. Barrett and
Charles R. Johnson Determinantal formulae for matrices with
sparse inverses. II. Asymmetric zero
patterns . . . . . . . . . . . . . . . . 237--261
Abraham Berman and
Michael Neumann and
Ronald J. Stern Cone reachability for nondiagonable
linear differential systems . . . . . . 263--280
Anonymous Author index to volume 81 . . . . . . . 281--281
Anonymous Editorial Board . . . . . . . . . . . . ii--iii
M. Arioli and
A. Laratta Error analysis of algorithms for
computing the projection of a Point onto
a linear manifold . . . . . . . . . . . 1--26
P. R. Vein Identities among certain triangular
matrices . . . . . . . . . . . . . . . . 27--79
Grahame Bennett Lower bounds for matrices . . . . . . . 81--98
Andrzej Pokrzywa On perturbations and the equivalence
orbit of a matrix pencil . . . . . . . . 99--121
Jens Peter Reus Christensen and
Pal Fischer Positive definite doubly stochastic
matrices and extreme points . . . . . . 123--132
Aleksandar Torga\vsev Infinite graphs with the least limiting
eigenvalue greater than $-2$ . . . . . . 133--141
Anonymous Preface to the third special issue of
papers on statistics . . . . . . . . . . 143--143
Robert E. Hartwig and
George P. H. Styan On some characterizations of the
``star'' partial ordering for matrices
and rank subtractivity . . . . . . . . . 145--161
Jerzy K. Baksalary A relationship between the star and
minus orderings . . . . . . . . . . . . 163--167
M. W. Browne and
A. Shapiro The asymptotic covariance matrix of
sample correlation coefficients under
general conditions . . . . . . . . . . . 169--176
Yasuko Chikuse Multivariate Meixner classes of
invariant distributions . . . . . . . . 177--200
Jeffrey J. Hunter Stationary distributions of perturbed
Markov chains . . . . . . . . . . . . . 201--214
C. G. Khatri and
K. R. Shah Orthogonality in multiway
classifications . . . . . . . . . . . . 215--224
Thomas Mathew Hermitian and nonnegativity preserving
subspaces . . . . . . . . . . . . . . . 225--235
B. Torsney Moment inequalities via optimal design
theory . . . . . . . . . . . . . . . . . 237--253
C. G. Troskie and
W. J. Conradie The distribution of the ratios of
characteristic roots (condition numbers)
and their applications in principal
component or ridge regression . . . . . 255--279
Anonymous Author index to volume 82 . . . . . . . 281--281
Anonymous Editorial board . . . . . . . . . . . . ii--iii
Sujit Kumar Mitra The minus partial order and the shorted
matrix . . . . . . . . . . . . . . . . . 1--27
Lucas Jódar Boundary value problems for second-order
differential operator equations . . . . 29--38
K. G. Ramamurthy A polynomial algorithm for testing the
nonnegativity of principal minors of
${Z}$-matrices . . . . . . . . . . . . . 39--47
Angelika Bunse-Gerstner Matrix factorizations for symplectic
${QR}$-like methods . . . . . . . . . . 49--77
N. Weiss and
G. W. Wasilkowski and
H. Wo\'zniakowski and
M. Shub Average Condition Number for Solving
Linear Equations . . . . . . . . . . . . 79--102
M. Vidyasagar and
N. Viswanadham Construction of inverses with prescribed
zero minors and applications to
decentralized stabilization . . . . . . 103--115
Natália Bebiano and
J. da Providência On the determinant of certain strictly
dissipative matrices . . . . . . . . . . 117--128
Ronald L. Smith On the spectrum of ${N}_0$-matrices . . 129--134
A. Neumaier On the comparison of ${H}$-matrices with
${M}$-matrices . . . . . . . . . . . . . 135--141
R. B. Bapat Inequalities for mixed Schur functions 143--149
Gerard Sierksma and
Elmer Sterken The structure matrix of
$(0,1)$-matrices: its rank, trace, and
eigenvalues. An application to
econometric models . . . . . . . . . . . 151--166
Anonymous Author index to volume 83 . . . . . . . 167--167
Anonymous Editorial Board . . . . . . . . . . . . ii--iii
Peter Lancaster Preface . . . . . . . . . . . . . . . . 1--2
Herbert Amann Semigroups and nonlinear evolution
equations . . . . . . . . . . . . . . . 3--32
H. Bart Transfer functions and operator theory 33--61
Lothar Berg Three results in connection with inverse
matrices . . . . . . . . . . . . . . . . 63--77
Lothar Berg General operational calculus . . . . . . 79--97
Peter Hess On the spectrum of elliptic operators
with respect to indefinite weights . . . 99--109
Hermann König Eigenvalues of compact operators with
applications to integral operators . . . 111--122
Thomas J. Laffey Simultaneous reduction of sets of
matrices under similarity . . . . . . . 123--138
Peter Lancaster Common eigenvalues, divisors, and
multiples of matrix polynomials: a
review . . . . . . . . . . . . . . . . . 139--160
Hans Schneider The influence of the marked reduced
graph of a nonnegative matrix on the
Jordan form and on related properties: a
survey . . . . . . . . . . . . . . . . . 161--189
Charles Stegall Optimization and differentiation in
Banach spaces . . . . . . . . . . . . . 191--211
Vlastimil Pták An extremal problem for operators . . . 213--226
J. R. L. Webb Topological degree and ${A}$-proper
operators . . . . . . . . . . . . . . . 227--242
Juha Berkovits On the degree theory for mappings of
monotone type and applications . . . . . 243--249
Laura Burlando On two subsets of a Banach algebra that
are related to the continuity of
spectrum and spectral radius . . . . . . 251--269
P. J. Bushell The Cayley--Hilbert metric and positive
operators . . . . . . . . . . . . . . . 271--280
Nicolas Hadjisavvas Metrics on the set of states of a
${W}^*$-algebra . . . . . . . . . . . . 281--287
D. Huylebrouck and
R. Puystjens Generalized inverses of a sum with a
radical element . . . . . . . . . . . . 289--300
Dimitrios Kravvaritis and
Nicolaos Stavrakakis Perturbations of maximal monotone random
operators . . . . . . . . . . . . . . . 301--310
J. Maroulas A theorem on the factorization of matrix
polynomials . . . . . . . . . . . . . . 311--322
Ioannis A. Polyrakis Cones locally isomorphic to the positive
cone of $l_1(\Gamma)$ . . . . . . . . . 323--334
W. M. Ruess and
W. H. Summers Asymptotic almost periodicity and
motions of semigroups of operators . . . 335--351
Binyamin Schwarz and
Abraham Zaks Contraction of the matrix unit disk . . 353--357
Aristomenis G. Siskakis Weighted composition semigroups on Hardy
spaces . . . . . . . . . . . . . . . . . 359--371
D. Kravvaritis and
P. Lancaster and
J. Maroulas Conference report . . . . . . . . . . . 373--420
Anonymous Author index to volume 84 . . . . . . . 421--421
Anonymous Editorial Board . . . . . . . . . . . . ii--iii
Wayne D. Joubert and
David M. Young Necessary and Sufficient Conditions for
the Simplification of Generalized
Conjugate Gradient Algorithms . . . . . 449--485
Tin Yau Tam Linear operators on matrices: the
invariance of the decomposable numerical
range . . . . . . . . . . . . . . . . . 1--7
M. J. Piff Inverses of banded and $k$-Hessenberg
matrices . . . . . . . . . . . . . . . . 9--15
Erich W. Ellers and
Hiroyuki Ishibashi Factorization of transformations over a
local ring . . . . . . . . . . . . . . . 17--27
Tin Yau Tam The generalized spectral matrices and
radial matrices on symmetry classes of
tensors . . . . . . . . . . . . . . . . 29--48
Miroslav Fiedler and
Thomas L. Markham Rank-preserving diagonal completions of
a matrix . . . . . . . . . . . . . . . . 49--56
Sui-Sun Cheng Discrete quadratic Wirtinger's
inequalities . . . . . . . . . . . . . . 57--73
P. Holgate The interpretation of derivations in
genetic algebras . . . . . . . . . . . . 75--79
Richard A. Brualdi and
Ernie S. Solheid On the minimum spectral radius of
matrices of zeros and ones . . . . . . . 81--100
Robert Beauwens Lower eigenvalue bounds for pencils of
matrices . . . . . . . . . . . . . . . . 101--119
Jerome Dancis The possible inertias for a Hermitian
matrix and its principal submatrices . . 121--151
Günter Mayer On the asymptotic convergence factor of
the total step method in interval
computation . . . . . . . . . . . . . . 153--164
M. Tismenetsky Determinant of block-Toeplitz band
matrices . . . . . . . . . . . . . . . . 165--184
Shmuel Friedland and
Moshe Katz On a matrix inequality . . . . . . . . . 185--190
Boris D. Lubachevsky The structure of the inverse to the
Sylvester resultant matrix . . . . . . . 191--202
Frank Uhlig On the matrix equation $A X = B$ with
applications to the generators of a
controllability matrix . . . . . . . . . 203--209
S. L. Ma and
William C. Waterhouse The $g$-circulant solutions of $A^m =
\lambda J$ . . . . . . . . . . . . . . . 211--220
Kurt M. Anstreicher and
Uriel G. Rothblum Using Gauss--Jordan elimination to
compute the index, generalized
nullspaces, and Drazin inverse . . . . . 221--239
R. B. Bapat Two inequalities for the Perron Root . . 241--248
Paolo Bolzern and
Patrizio Colaneri Inertia theorems for the periodic
Lyapunov difference equation and
periodic Riccati difference equation . . 249--265
Ralph Byers Solving the algebraic Riccati equation
with the matrix sign function . . . . . 267--279
Anonymous Author index to volume 85 . . . . . . . 281--281
Neven Elezovi\'c On the minimal polynomial of a resolvent 1--9
Henryk Minc Permanental compounds and permanents of
$(0,1)$-circulants . . . . . . . . . . . 11--42
Miroslav Fiedler and
Vlastimil Pták Bézoutians and intertwining matrices . . 43--51
Miroslav Fiedler and
Vlastimil Pták Intertwining and testing matrices
corresponding to a polynomial . . . . . 53--74
Bo Henry Lindqvist Nonnegative multiplicative processes
reaching stationarity in finite time . . 75--90
Boris Reichstein On expressing a cubic form as a sum of
cubes of linear forms . . . . . . . . . 91--122
Stephen M. Tanny and
Michael Zuker The sensitivity of eigenvalues under
elementary matrix perturbations . . . . 123--143
J. V. Brawley and
George E. Schnibben Polynomials which permute the matrices
over a field . . . . . . . . . . . . . . 145--160
Marc A. Berger and
Alexander Felzenbaum Sign patterns of matrices and their
inverses . . . . . . . . . . . . . . . . 161--177
D. Kershaw An analysis of the method of L. Fox and
L. Hayes for the factorization of a
polynomial . . . . . . . . . . . . . . . 179--187
Riaz A. Usmani Explicit inverse of a band matrix with
application to computing eigenvalues of
a Sturm--Liouville system . . . . . . . 189--198
Hans Joachim Werner On weak $r$-monotonicity . . . . . . . . 199--209
Jonathan E. Spingarn A projection method for least-squares
solutions to overdetermined systems of
linear inequalities . . . . . . . . . . 211--236
Joseph A. Ball and
André C. M. Ran Global inverse spectral problems for
rational matrix functions . . . . . . . 237--282
Anonymous Author index for volume 86 . . . . . . . 283--283
Anonymous Editorial Board . . . . . . . . . . . . ii--iii
Clark Jeffries and
Victor Klee and
Pauline van den Driessche Qualitative stability of linear systems 1--48
C. S. Ballantine and
Stephen Pierce and
Leiba Rodman Simultaneous congruence of convex
compact sets of Hermitian matrices with
constant rank . . . . . . . . . . . . . 49--60
Moshe Haviv and
Yakov Ritov and
Uriel G. Rothblum Iterative methods for approximating the
subdominant modulus of an eigenvalue of
a nonnegative matrix . . . . . . . . . . 61--75
Robert Grone and
Russell Merris A Fischer inequality for the second
immanant . . . . . . . . . . . . . . . . 77--83
María-José Sodupe Interlacing inequalities for generalized
singular values . . . . . . . . . . . . 85--92
A. Ben-Artzi and
R. L. Ellis and
I. Gohberg and
D. C. Lay The maximum distance problem and band
sequences . . . . . . . . . . . . . . . 93--112
Ion Zaballa Matrices with prescribed rows and
invariant factors . . . . . . . . . . . 113--146
Tin Yau Tam Linear operators on matrices: the
invariance of the decomposable numerical
radius . . . . . . . . . . . . . . . . . 147--153
A. Neumaier Further results on linear interval
equations . . . . . . . . . . . . . . . 155--179
Hedi Taub and
Shaul Gutman Roots of composite polynomials---an
application to root clustering . . . . . 181--188
Ronald L. Smith On Markham's ${M}$-matrix properties . . 189--195
Thomas H. Foregger Minimum permanents of multiplexes . . . 197--211
Robert Grone and
Charles R. Johnson and
Eduardo Marques de Sá and
Henry Wolkowicz Normal matrices . . . . . . . . . . . . 213--225
M. D. Choi and
A. A. Jafarian and
H. Radjavi Linear maps preserving commutativity . . 227--241
Melvyn W. Jeter and
Wallace C. Pye The linear complementarity problem and a
subclass of fully semimonotone matrices 243--256
Nir Cohen Polynomial systems and Kronecker
invariants . . . . . . . . . . . . . . . 257--265
Richard P. Stanley A bound on the spectral radius of graphs
with $e$ edges . . . . . . . . . . . . . 267--269
George P. Barker Review of \booktitleMatrix Norms and
Their Applications . . . . . . . . . . . 271--271
Eduardo D. Sontag Review of \booktitleMultidimensional
Systems Theory, edited by N. K. Bose . . 273--277
Anonymous Author index to volume 87 . . . . . . . 279--279
Anonymous Editorial Board . . . . . . . . . . . . ii--iii
Gene H. Golub and
Iain Duff and
Cleve Moler Dedication . . . . . . . . . . . . . . . 1--12
J. H. Wilkinson On a theorem of Feingold . . . . . . . . 13--30
Å. Björck Stability analysis of the method of
seminormal equations for linear least
squares problems . . . . . . . . . . . . 31--48
James R. Bunch The Weak and Strong Stability of
Algorithms in Numerical Linear Algebra 49--66
Tony F. Chan Rank Revealing $QR$ Factorizations . . . 67--82
King-wah Eric Chu Singular value and generalized singular
value decompositions and the solution of
linear matrix equations . . . . . . . . 83--98
George Cybenko An explicit formula for Lánczos
polynomials . . . . . . . . . . . . . . 99--115
Jerome Dancis and
Chandler Davis An interlacing theorem for eigenvalues
of selfadjoint operators . . . . . . . . 117--122
Frank de Hoog A New Algorithm for Solving Toeplitz
Systems of Equations . . . . . . . . . . 123--138
James Weldon Demmel and
Bo Kågström Computing Stable Eigendecompositions of
Matrix Pencils . . . . . . . . . . . . . 139--186
J. E. Dennis, Jr. and
Kathryn Turner Generalized Conjugate Directions . . . . 187--209
R. Freund A Note on Two Block SOR Methods for
Sparse Least Squares Problems . . . . . 211--221
Alan George and
Joseph W. H. Liu Householder Reflections versus Givens
Rotations in Sparse Orthogonal
Decomposition . . . . . . . . . . . . . 223--238
Philip E. Gill and
Walter Murray and
Michael A. Saunders and
Margaret H. Wright Maintaining ${LU}$ factors of a general
sparse matrix . . . . . . . . . . . . . 239--270
I. Gohberg and
T. Kailath and
I. Koltracht and
P. Lancaster Linear complexity parallel algorithms
for linear systems of equations with
recursive structure . . . . . . . . . . 271--315
G. H. Golub and
Alan Hoffman and
G. W. Stewart A Generalization of the
Eckart--Young--Mirsky Matrix
Approximation Theorem . . . . . . . . . 317--327
M. J. C. Gover and
S. Barnett Displacement rank and quasitriangular
decomposition for $r$-Toeplitz matrices 329--348
W. B. Gragg and
L. Reichel On the application of orthogonal
polynomials to the iterative solution of
linear systems of equations with
indefinite or non-Hermitian matrices . . 349--371
Daniel Hershkowitz and
Volker Mehrmann and
Hans Schneider Eigenvalue interlacing for certain
classes of matrices with real principal
minors . . . . . . . . . . . . . . . . . 373--403
Nicholas J. Higham Computing Real Square Roots of a Real
Matrix . . . . . . . . . . . . . . . . . 405--430
Kazuo Ishihara Strong and weak discrete maximum
principles for matrices associated with
elliptic problems . . . . . . . . . . . 431--448
Wayne D. Joubert and
David M. Young Necessary and sufficient conditions for
the simplification of generalized
conjugate-gradient algorithms . . . . . 449--485
Andrzej Kie\lbasi\'nski A Note on Rounding Error Analysis of
Cholesky Factorization . . . . . . . . . 487--494
Franklin T. Luk and
San Zheng Qiao A Fast but Unstable Orthogonal
Triangularization Technique for Toeplitz
Matrices . . . . . . . . . . . . . . . . 495--506
R. M. M. Mattheij and
G. Söderlind On inhomogeneous eigenvalue problems. I 507--531
Valerie A. Miller and
Michael Neumann Successive overrelaxation methods for
solving the rank deficient linear least
squares problem . . . . . . . . . . . . 533--557
M. Neumann and
R. J. Plemmons Convergence of parallel multisplitting
iterative methods for ${M}$-matrices . . 559--573
Beresford N. Parlett and
Youcef Saad Complex Shift and Invert Strategies for
Real Matrices . . . . . . . . . . . . . 575--595
M. J. D. Powell On error growth in the Bartels--Golub
and Fletcher--Matthews algorithms for
updating matrix factorizations . . . . . 597--621
Y. Saad and
M. Schultz Parallel Direct Methods for Solving
Banded Linear Systems . . . . . . . . . 623--650
A. van der Sluis and
H. A. Van der Vorst The convergence behavior of Ritz values
in the presence of close eigenvalues . . 651--694
Sabine Van Huffel and
Joos Vandewalle Subset Selection Using the Total Least
Squares Approach in Collinearity
Problems with Errors in the Variables 695--714
Charles Van Loan On Estimating the Condition of
Eigenvalues and Eigenvectors . . . . . . 715--732
Thomas Ericsson and
Axel Ruhe Lánczos algorithms and field of value
rotations for symmetric matrix pencils 733--746
LeRoy B. Beasley The mathematical work of Joel Lee
Brenner. With contributions by R. P.
Boas, John de Pillis, Roger Lyndon, and
James Wiegold . . . . . . . . . . . . . 1--13
Raul Cordovil Polarity and point extensions in
oriented matroids . . . . . . . . . . . 15--31
LeRoy B. Beasley and
Norman J. Pullman Term-rank, permanent, and
rook-polynomial preservers . . . . . . . 33--46
C. H. Sung and
B. S. Tam On the cone of a finite-dimensional
compact convex set at a point . . . . . 47--55
n'Ekwunife Muoneke On the stochastic powers of nonnegative
reducible matrices . . . . . . . . . . . 57--63
Nicholas Strauss Jordan form of a binomial coefficient
matrix over ${Z}_p$ . . . . . . . . . . 65--72
Jean H. Bevis and
Frank J. Hall and
Robert E. Hartwig Pseudoconsimilarity and
semiconsimilarity of complex matrices 73--80
Richard D. Hill and
Steven R. Waters On the cone of positive semidefinite
matrices . . . . . . . . . . . . . . . . 81--88
Harald K. Wimmer Duality of finite Abelian groups and a
Jordan normal form of integer matrices 89--104
Chi Kwong Li A generalization of spectral radius,
numerical radius, and spectral norm . . 105--118
Ben Polman Incomplete blockwise factorizations of
(block) ${H}$-matrices . . . . . . . . . 119--132
Stephen J. Dow and
Peter M. Gibson Permanents of $d$-dimensional matrices 133--145
Juan-Enrique Martínez-Legaz and
Ivan Singer Lexicographical separation in ${\bf
R}^n$ . . . . . . . . . . . . . . . . . 147--163
T. Ando Totally positive matrices . . . . . . . 165--219
Linda Kaufman The Generalized Householder
Transformation and Sparse Matrices . . . 221--234
William C. Waterhouse A note on Fan's identity for symmetric
bilinear forms . . . . . . . . . . . . . 235--237
Norman J. Pullman Review of \booktitleIncline Algebra and
Applications, by Z-Q Cao, K. H. Kim, and
F. W. Roush . . . . . . . . . . . . . . 239--240
Gert Naudé Review of \booktitleLinear Systems over
Commutative Rings, by J. W. Brewer, J.
W. Bunce, and F. S. Van Vleck . . . . . 241--244
T. Ando Review of \booktitleMatrix Analysis, by
Roger A. Horn and Charles R. Johnson . . 245--247
Anonymous Author index for volume 90 . . . . . . . 249--249
Anonymous Editorial Board . . . . . . . . . . . . ii--iii
Lucas Jódar Boundary value problems and Cauchy
problem for the second-order Euler
operator differential equation . . . . . 1--12
K. Okubo Hölder-type norm inequalities for Schur
products of matrices . . . . . . . . . . 13--28
P. Wild and
W. Niethammer Over- and underrelaxation for linear
systems with weakly cyclic Jacobi
matrices of index $p$ . . . . . . . . . 29--52
Dafna Shasha and
Abraham Berman On the uniqueness of the Lyapunov
scaling factors . . . . . . . . . . . . 53--63
T. Y. Li and
T. Sauer Homotopy method for generalized
eigenvalue problems $A x = \lambda B x$ 65--74
M. Fiedler and
Charles R. Johnson and
T. L. Markham Notes on inverse ${M}$-matrices . . . . 75--81
Eberhard Stickel On the Fréchet derivative of matrix
functions . . . . . . . . . . . . . . . 83--88
Cecil E. Robinson, Jr. Generalized inverses of substochastic
matrices . . . . . . . . . . . . . . . . 89--98
Bojan Mohar and
Matja\vz Omladi\vc Divisors and the spectrum of infinite
graphs . . . . . . . . . . . . . . . . . 99--106
Scott H. Hochwald The uniqueness of the adjoint operation.
II . . . . . . . . . . . . . . . . . . . 107--119
Jean-Claude Evard Conditions for a vector subspace
${E}(t)$ and for a projector ${P}(t)$
not to depend on $t$ . . . . . . . . . . 121--131
Charles R. Johnson and
D. D. Olesky and
Brian Robertson and
P. van den Driessche Sign determinacy of ${M}$-matrix minors 133--141
D. Hinrichsen and
D. Prätzel-Wolters A wild quiver in linear systems theory 143--175
Mou Cheng Zhang On graph compatible Splittings of
$M$-matrices . . . . . . . . . . . . . . 177--179
Richard Gabriel The normal ${\Delta} {H}$-matrices with
connection to some Jacobi-like methods 181--194
Wen Wei Lin An algorithm for computing the
eigenstructure of a regular matrix
polynomial . . . . . . . . . . . . . . . 195--211
Hari Bercovici Note on property $({\rm A}_1)$ . . . . . 213--216
Anonymous Author index for volume 91 . . . . . . . 217--217
Thomas H. Pate Generalizing the Fischer inequality . . 1--15
Sujit Kumar Mitra On group inverses and the sharp order 17--37
James H. McKay and
Stuart Sui Sheng Wang On a theorem of Brualdi and Newman . . . 39--43
Friedrich Roesler Riemann's hypothesis as an eigenvalue
problem. II . . . . . . . . . . . . . . 45--73
Rong Qin Sheng Properties of the Golub--Wilkinson
algorithm . . . . . . . . . . . . . . . 75--80
J. Ponstein A matrix minimization problem involving
ranks . . . . . . . . . . . . . . . . . 81--106
L. Elsner and
M. H. C. Paardekooper On measures of nonnormality of matrices 107--123
Uwe Helmke and
Mark A. Shayman The biflag manifold and the fixed points
of a unipotent transformation on the
flag manifold . . . . . . . . . . . . . 125--159
Yu Fan Zheng The properties of decentralized systems
under local feedbacks via polynomial
models . . . . . . . . . . . . . . . . . 161--185
Zhi Hao Cao On a deflation method for the symmetric
generalized eigenvalue problem . . . . . 187--196
Tin Yau Tam Linear operators on matrices: the
invariance of the decomposable numerical
range. II . . . . . . . . . . . . . . . 197--207
Maria Célia Santos On a class of methods for the
computation of the spectral radius and
the Perron vector of a nonnegative,
irreducible matrix . . . . . . . . . . . 209--223
Hilkka Kankaanpää and
Jorma Kaarlo Merikoski and
Ari Virtanen Improving an inequality for sums of
elements of matrix powers . . . . . . . 225--229
Charles R. Johnson and
Ludwig Elsner The relationship between Hadamard and
conventional multiplication for positive
definite matrices . . . . . . . . . . . 231--240
F. Conceição Silva Matrices with prescribed eigenvalues and
principal submatrices . . . . . . . . . 241--250
R. K. Kittappa A generalization of the rotation matrix
and related results . . . . . . . . . . 251--258
K. Zi\ketak Properties of the approximate
generalized inverses of a class of
matrices . . . . . . . . . . . . . . . . 259--272
Anonymous Author index for volume 92 . . . . . . . 273--273
F. J. Henk Don On the symmetric solutions of a linear
matrix equation . . . . . . . . . . . . 1--7
Sin Chung Chang On the product of convex combinations
and the Kantorovich inequality . . . . . 9--38
Arnold R. Kräuter On the greatest distance between two
permanental roots of a matrix . . . . . 39--55
William F. Trench A note on solving nearly triangular
Toeplitz systems . . . . . . . . . . . . 57--65
Gin Hor Chan and
Ming Huat Lim and
Kok-Keong Tan Linear preservers on matrices . . . . . 67--80
W. Byers Matrices induced by endomorphisms of
finite sets . . . . . . . . . . . . . . 81--92
King-wah Eric Chu The solution of the matrix equations
${AXB}-{CXD}={E}$ and
$({YA}-{DZ},{YC}-{BZ})=({E},{F})$ . . . 93--105
R. B. Bapat and
Man Kam Kwong A generalization of $A \circ A^{-1} \geq
I$ . . . . . . . . . . . . . . . . . . . 107--112
Zhi Hao Cao Residual error bounds of generalized
eigenvalue systems . . . . . . . . . . . 113--120
A. M. Russell and
C. J. F. Upton A class of positive semidefinite
matrices . . . . . . . . . . . . . . . . 121--126
G. Geldenhuys and
C. Sippel Bounds for the real eigenvalues of a
cascade matrix . . . . . . . . . . . . . 127--130
Kirby A. Baker Strong shift equivalence and shear
adjacency of nonnegative square integer
matrices . . . . . . . . . . . . . . . . 131--147
Sabine Van Huffel and
Joos Vandewalle Algebraic Relationships Between
Classical Regression and Total
Least-squares Estimation . . . . . . . . 149--160
J. P. Milaszewicz Improving Jacobi and Gauss--Seidel
Iterations . . . . . . . . . . . . . . . 161--170
Saburou Saitoh Quadratic inequalities deduced from the
theory of reproducing kernels . . . . . 171--178
Paul M. Weichsel Polynomials on graphs . . . . . . . . . 179--186
Vladimír Müller On the spectrum of an infinite graph . . 187--189
David Chillag Generalized circulants and class
functions of finite groups . . . . . . . 191--208
D. G. Higman Coherent algebras . . . . . . . . . . . 209--239
William C. Waterhouse Elementary divisors of $s$-symmetric
matrices . . . . . . . . . . . . . . . . 241--245
P. Fischer Substochastic matrices and von Neumann
majorization . . . . . . . . . . . . . . 247--254
C. T. Ng The equation $F(x) + M(x) G(1 / x) =0$
and homogeneous biadditive forms . . . . 255--279
Anonymous Author index for volume 93 . . . . . . . 281--281
Anonymous Editorial Board . . . . . . . . . . . . ii--iii
Robert E. Hartwig Resultants, companion matrices, and
Jacobson chains . . . . . . . . . . . . 1--34
Pamela G. Coxson and
Helene Shapiro Positive input reachability and
controllability of positive systems . . 35--53
Raul Cordovil and
Ilda P. Silva Determining a matroid polytope by
non-Radon partitions . . . . . . . . . . 55--60
Henryk Minc On a conjecture of R. A. Brualdi . . . . 61--66
J. A. Dias da Silva and
Amélia Fonseca Vector colorability . . . . . . . . . . 67--88
Pamela G. Coxson and
Loren C. Larson and
Hans Schneider Monomial patterns in the sequence $A^k
b$ . . . . . . . . . . . . . . . . . . . 89--101
Jonathan Ashley On the Perron--Frobenius eigenvector for
nonnegative integral matrices whose
largest eigenvalue is integral . . . . . 103--108
R. J. Gregorac and
Irvin Roy Hentzel A note on the analogue of Oppenheim's
inequality for permanents . . . . . . . 109--112
Christian Pommer and
Wolfhard Kliem Simultaneously normalizable matrices . . 113--125
Donald W. Robinson Nullities of submatrices of the
Moore--Penrose inverse . . . . . . . . . 127--132
Peter Butkovi\vc and
Katarína Cechlárová and
Peter Szabó Strong linear independence in bottleneck
algebra . . . . . . . . . . . . . . . . 133--155
Paul Terwilliger Root system graphs . . . . . . . . . . . 157--163
J. A. Dias da Silva and
M. a da Purificação Coelho Linear groups associated with elements
of a group algebra . . . . . . . . . . . 165--179
Sui-Sun Cheng and
Horng Jaan Li and
Tzon-Tzer Lu and
Shu Hei Wu Regular and singular orthants of
tridiagonal matrices . . . . . . . . . . 181--191
H.-G. Quebbemann A representation theorem for algebras
with involution . . . . . . . . . . . . 193--195
Klaus Nielsen On bireflectionality and
trireflectionality of orthogonal groups 197--208
Frieder Knüppel and
Klaus Nielsen On products of two involutions in the
orthogonal group of a vector space . . . 209--216
Frieder Knüppel and
Klaus Nielsen Products of involutions in ${\rm
O}^+(V)$ . . . . . . . . . . . . . . . . 217--222
Amos Kovacs Some enumeration problems for matrices
over a finite field . . . . . . . . . . 223--236
Delia Flores de Chela Generalized inverses under the
$\ell_1$-norm . . . . . . . . . . . . . 237--261
Czes\law St\kepniak Two orderings on a convex cone of
nonnegative definite matrices . . . . . 263--272
Anonymous Author index for volume 94 . . . . . . . 273--273
Anonymous Editorial Board . . . . . . . . . . . . ??
Gerard Sierksma and
Albert E. Steenge Two-minor stable matrices and the open
Leontief model . . . . . . . . . . . . . 1--10
R. W. Farebrother Three theorems with applications to
Euclidean distance matrices . . . . . . 11--16
Ruud Ermers and
Ben Polman On the eigenvalues of the structure
matrix of matrices of zeros and ones . . 17--41
Rajendra Bhatia and
John A. R. Holbrook Unitary invariance and spectral
variation . . . . . . . . . . . . . . . 43--68
L. N. Vaserstein and
B. A. Magurnt Prestabilization for $K_1$ of Banach
algebras . . . . . . . . . . . . . . . . 69--96
H. Th. Jongen and
T. Möbert and
J. Rückmann and
K. Tammer On inertia and Schur complement in
optimization . . . . . . . . . . . . . . 97--109
Abraham Berman and
Daniel Hershkowitz Combinatorial results on completely
positive matrices . . . . . . . . . . . 111--125
Jan R. Magnus A representation theorem for $({\rm tr}
{A}^p)^{1/p}$ . . . . . . . . . . . . . 127--134
J.-P. Charlier and
P. Van Dooren On Kogbetliantz's SVD Algorithm in the
Presence of Clusters . . . . . . . . . . 135--160
Suk Geun Hwang On a Conjecture of E. Dittert . . . . . 161--169
Luther T. Conner, Jr. and
David P. Stanford The structure of the controllable set
for multimodal systems . . . . . . . . . 171--180
Sing-Cheong Ong What Kind of operators have few
invariant subspaces? . . . . . . . . . . 181--185
Dan Shemesh Unobservable subspaces and common roots
of several polynomials . . . . . . . . . 187--210
G. W. Stewart Review of \booktitleMatrix Computations,
by Gene H. Golub and Charles F. Van Loan 211--215
Anonymous Author index for volume 95 . . . . . . . 217--217
Anonymous Editorial Board . . . . . . . . . . . . ii--iii
F. Conceição Silva On the invariant factors of the matrix
XAY $+$ B . . . . . . . . . . . . . . . 1--16
Jerzy K. Baksalary and
Jan Hauke Partial orderings of matrices referring
to singular values or eigenvalues . . . 17--26
M. Kaykobad On nonnegative factorization of matrices 27--33
P. N. Shivakumar and
J. J. Williams and
N. Rudraiah Eigenvalues for infinite matrices . . . 35--63
Donald W. Robinson and
Roland Puystjens Generalized inverses of morphisms with
kernels . . . . . . . . . . . . . . . . 65--85
Joachim von zur Gathen Permanent and determinant . . . . . . . 87--100
Ke Min Zhang On Lewin and Vitek's conjecture about
the exponent set of primitive matrices 101--108
Dieter Kuhn and
Rainer Löwen Piecewise affine bijections of ${\bf
R}^n$, and the equation $S x^+ - T x^- =
y$ . . . . . . . . . . . . . . . . . . . 109--129
Hui Hu An algorithm for rescaling a matrix
positive definite . . . . . . . . . . . 131--147
D. S. Meek Comparison of infinity norms of matrix
inverses . . . . . . . . . . . . . . . . 149--156
Wen Wei Lin A new method for computing the
closed-loop eigenvalues of a
discrete-time algebraic Riccati equation 157--180
N. S. James and
R. Lidl Permutation polynomials on matrices . . 181--190
József Eller On functions of companion matrices . . . 191--210
Tamir Shalom On algebras of Toeplitz matrices . . . . 211--226
Pei Yuan Wu Products of nilpotent matrices . . . . . 227--232
Victor Klee Recursive structure of $S$-matrices and
an $O(m^2)$ algorithm for recognizing
strong sign solvability . . . . . . . . 233--247
Anonymous Author index for volume 96 . . . . . . . 249--249
Anonymous Editorial Board . . . . . . . . . . . . ii--iii
Ronald J. Stern and
Michael Tsatsomeros Extended ${M}$-matrices and
subtangentiality . . . . . . . . . . . . 1--11
Heinz Neudecker and
Tom Wansbeek Fourth-Order Properties of Normally
Distributed Random Matrices . . . . . . 13--21
João Filipe Queiró On the interlacing property for singular
values and eigenvalues . . . . . . . . . 23--28
Yves Hellegouarch Propriétés géométrico-arithmétiques des
alg\`ebres \`a involution. (French)
[Geometric and arithmetical properties
of algebras with involution] . . . . . . 29--43
Moshe Goldberg Multiplicativity factors and mixed
multiplicativity . . . . . . . . . . . . 45--56
Pratibha G. Ghatage On the spectrum of the Bergman--Hilbert
matrix . . . . . . . . . . . . . . . . . 57--63
W. Layton and
T. D. Morley On central difference approximations to
general second order elliptic equations 65--75
T. Ando and
John W. Bunce The geometric mean, operator
inequalities, and the Wheatstone bridge 77--91
Donald W. Robinson and
Roland Puystjens and
Jan Van Geel Categories of matrices with only obvious
Moore--Penrose inverses . . . . . . . . 93--102
Biswa Nath Datta and
Karabi Datta The matrix equation $X A = A^T X$ and an
associated algorithm for solving the
inertia and stability problems . . . . . 103--119
Harry Hochstadt and
Wallace Goldberg Hill's matrices with some vanishing
instability intervals . . . . . . . . . 121--126
Fumio Hiai Similarity preserving linear maps on
matrices . . . . . . . . . . . . . . . . 127--139
Abraham Berman and
Ronald J. Stern Linear feedback, irreducibility, and
${M}$-matrices . . . . . . . . . . . . . 141--152
Robert E. Hartwig A note on light matrices . . . . . . . . 153--169
Jeffrey L. Stuart The decomposition of idempotents
associated with inflators . . . . . . . 171--184
Jia Yu Shao and
Qiao Li On the index of convergence of an
irreducible Boolean matrix . . . . . . . 185--210
Geoffrey S. Watson A method for discovering
Kantorovich-type inequalities and a
probabilistic interpretation . . . . . . 211--217
S. W. Drury Extreme points for positive forms on
$l^p$ . . . . . . . . . . . . . . . . . 219--228
Jean H. Bevis and
Frank J. Hall and
Robert E. Hartwig The Drazin inverse of a semilinear
transformation and its matrix
representation . . . . . . . . . . . . . 229--242
Charles R. Johnson Closure properties of certain positivity
classes of matrices under various
algebraic operations . . . . . . . . . . 243--247
Anonymous Author index for volume 97 . . . . . . . 249--249
I. F. Blake and
N. K. Bose and
M. Vidyasagar Preface . . . . . . . . . . . . . . . . 1--2
S. T. Alexander and
C.-T. Pan and
R. J. Plemmons Analysis of a recursive Least Squares
Hyperbolic Rotation Algorithm for Signal
Processing . . . . . . . . . . . . . . . 3--40
Carlos A. Berenstein and
Daniele C. Struppa Small degree solutions for the
polynomial Bézout equation . . . . . . . 41--55
S. P. Bhattacharyya and
L. H. Keel and
J. W. Howze Stabilization of linear systems with
fixed order controllers . . . . . . . . 57--76
Yuval Bistritz and
Thomas Kailath Inversion and factorization of
non-Hermitian quasi-Toeplitz matrices 77--121
N. K. Bose Robust multivariate scattering Hurwitz
interval polynomials . . . . . . . . . . 123--136
James Brewer and
Lee Klingler Dynamic feedback over commutative rings 137--168
Kenneth D. Clark A structural form for higher-index
semistate equations. I. Theory and
applications to circuit and control
theory . . . . . . . . . . . . . . . . . 169--197
Michele Elia A note on the computation of the bit
error rate for binary block codes . . . 199--210
Michael Green Balanced stochastic realizations . . . . 211--247
I.-S. Hsu and
T. K. Truong and
I. S. Reed and
N. Glover A VLSI architecture for performing
finite field arithmetic with reduced
table lookup . . . . . . . . . . . . . . 249--262
Edward W. Kamen The poles and zeros of a linear
time-varying system . . . . . . . . . . 263--289
Tadao Kasami and
Shu Lin The binary weight distribution of the
extended $(2^m, 2^m - 4)$ code of the
Reed--Solomon code over ${\rm GF}(2^m)$
with generator polynomial $(x -
\alpha)(x - \alpha^2) (x - \alpha^3)$ 291--307
P. Lancaster and
J. Maroulas Selective perturbation of spectral
properties of vibrating systems using
feedback . . . . . . . . . . . . . . . . 309--330
Abraham Lempel Characterization and synthesis of
self-complementary normal bases in
finite fields . . . . . . . . . . . . . 331--346
D. J. N. Limebeer and
B. D. O. Anderson An interpolation theory approach to
${H}^\infty$ controller degree bounds 347--386
Sheldon X.-C. Lou and
George C. Verghese and
Alan S. Willsky and
Pamela G. Coxson Conditions for scale-based
decompositions in singularly perturbed
systems . . . . . . . . . . . . . . . . 387--413
Vera Pless and
Joseph J. Rushanan Triadic Codes . . . . . . . . . . . . . 415--433
Anonymous Author index for volume 98 . . . . . . . 434--434
Anonymous Editorial Board . . . . . . . . . . . . ii--iii
Zden\vek Vav\vrín Multiplication of diagonal transforms of
Loewner matrices . . . . . . . . . . . . 1--40
Julio Cesar Ruiz-Claeyssen and
Liara Aparecida dos Santos Leal Diagonalization and spectral
decomposition of factor block circulant
matrices . . . . . . . . . . . . . . . . 41--61
A. C. M. Ran and
R. Vreugdenhil Existence and comparison theorems for
algebraic Riccati equations for
continuous- and discrete-time systems 63--83
Robert M. Guralnick Similarity of holomorphic matrices . . . 85--96
Alan A. Ahac and
John J. Buoni and
D. D. Olesky Stable $LU$ factorization of
$H$-matrices . . . . . . . . . . . . . . 97--110
Stephen Barnett Euclidean remainders for generalized
polynomials . . . . . . . . . . . . . . 111--122
L. Lerer and
M. Tismenetsky Generalized Bézoutian and matrix
equations . . . . . . . . . . . . . . . 123--160
Dipa Choudhury and
Roger A. Horn and
Stephen J. Pierce Quasi-positive definite operators and
matrices . . . . . . . . . . . . . . . . 161--176
Shang Jun Yang and
George P. Barker On the exponent of a primitive,
minimally strong digraph . . . . . . . . 177--198
LeRoy B. Beasley and
Norman J. Pullman Operators that preserve semiring matrix
functions . . . . . . . . . . . . . . . 199--216
Javad Faghih Habibi and
William H. Gustafson Reflexive serial algebras . . . . . . . 217--223
T. N. T. Goodman and
Charles A. Micchelli Corner cutting algorithms for the Bézier
representation of free form curves . . . 225--252
Toma\vz Ko\vsir Common Jordan chains of matrices . . . . 253--258
Zdislav V. Kovarik and
Nagwa Sherif Geodesics and near-geodesics in the
manifolds of projector frames . . . . . 259--277
Anonymous Author index for volume 99 . . . . . . . 278--278
Anonymous Special issues . . . . . . . . . . . . . 1--1
Anonymous Profiles . . . . . . . . . . . . . . . . 2--2
Anonymous Conference reports . . . . . . . . . . . 3--3
Anonymous Book reviews . . . . . . . . . . . . . . 4--5
Anonymous Obituaries . . . . . . . . . . . . . . . 6--6
Anonymous Present and former referees . . . . . . 7--15
Anonymous Letter in linear algebra, volumes 30-41,
and reports, volumes 42-54. . . . . . . 16--16
Anonymous Author index . . . . . . . . . . . . . . 17--86
Anonymous Editorial Board . . . . . . . . . . . . ii--iii
Anonymous Editors-in-chief . . . . . . . . . . . . viii--viii
Anonymous Present and former members of the
editorial board . . . . . . . . . . . . ix--ix
Anonymous 1968/1988. 20 year index: Vol. 1--100 x + 86
Richard A. Brualdi and
Hans Schneider Preface . . . . . . . . . . . . . . . . vii--vii
M. Fiedler and
Thomas L. Markham An inequality for the Hadamard product
of an ${M}$-matrix and an inverse
${M}$-matrix . . . . . . . . . . . . . . 1--8
Ion Zaballa Interlacing inequalities and control
theory . . . . . . . . . . . . . . . . . 9--31
LeRoy B. Beasley and
Norman J. Pullman Semiring rank versus column rank . . . . 33--48
Konrad J. Heuvers and
L. J. Cummings and
K. P. S. Bhaskara Rao A characterization of the permanent
function by the Binet--Cauchy theorem 49--72
K. G. Jinadasa Applications of the Matrix Operators
vech and vec . . . . . . . . . . . . . . 73--79
Shmuel Friedland Bounds on the spectral radius of graphs
with $e$ edges . . . . . . . . . . . . . 81--86
G. J. Olsder and
C. Roos Cramér and Cayley--Hamilton in the max
algebra . . . . . . . . . . . . . . . . 87--108
Clark Jeffries and
P. van den Driessche Eigenvalues of matrices with tree graphs 109--120
David L. Powers Graph partitioning by Eigenvectors . . . 121--133
H. Väliaho Testing the definiteness of matrices on
polyhedral cones . . . . . . . . . . . . 135--165
Xu Zhong On inverse and generalized inverses of
Hessenberg matrices . . . . . . . . . . 167--180
Tomasz Szulc A lower bound for the Perron root of a
nonnegative matrix . . . . . . . . . . . 181--186
Miroslav Fiedler and
Vlastimil Pták Loewner and Bézout matrices . . . . . . . 187--220
H. L. Trentelman and
J. W. van der Woude Almost invariance and noninteracting
control: a frequency-domain analysis . . 221--254
Chi-Kwong Li Matrices with some extremal properties 255--267
Saburou Saitoh Quadratic inequalities associated with
integrals of reproducing kernels . . . . 269--280
Anonymous Author index for volume 101 . . . . . . 281--281
Anonymous Editorial Board . . . . . . . . . . . . i--ii
J. M. Schumacher Transformations of linear systems under
external equivalence . . . . . . . . . . 1--33
Lucas Jódar Algebraic and differential operator
equations . . . . . . . . . . . . . . . 35--53
Charles R. Johnson and
Stephen Pierce Inequalities for single-hook immanants 55--79
Thomas H. Pate Generalizing the inequality ${\rm
Per}({J}_2\otimes {M})\geq 2^n[{\rm
Per}({M})]^2$ . . . . . . . . . . . . . 81--93
Adi Ben-Israel Canonical bases in linear programming 95--119
Jeffrey J. Hunter Characterizations of generalized
inverses associated with Markovian
kernels . . . . . . . . . . . . . . . . 121--142
Yoo Pyo Hong and
Roger A. Horn A canonical form for matrices under
consimilarity . . . . . . . . . . . . . 143--168
Paul D. Gader Tridiagonal factorizations of Fourier
matrices and applications to parallel
computations of discrete Fourier
transforms . . . . . . . . . . . . . . . 169--209
Bishwa Nath Mukherjee and
Sadhan Samar Maiti On some properties of positive definite
Toeplitz matrices and their possible
applications . . . . . . . . . . . . . . 211--240
Natália Bebiano and
João da Providência Some remarks on a conjecture of de
Oliveira . . . . . . . . . . . . . . . . 241--246
Anonymous Author index for volume 102 . . . . . . 247--247
Anonymous Editorial Board . . . . . . . . . . . . ii--iii
J. C. Butcher On a class of matrices with real
eigenvalues . . . . . . . . . . . . . . 1--12
M. W. Browne and
H. Neudecker The covariance matrix of a general
symmetric second degree matrix
polynomial under normality assumptions 13--20
Dafna Shasha and
Daniel Hershkowitz Maximal Lyapunov scaling factors and
their applications in the study of
Lyapunov diagonal semistability of block
triangular matrices . . . . . . . . . . 21--39
Wen Wei Lin The computation of the Kronecker
canonical form of an arbitrary symmetric
pencil . . . . . . . . . . . . . . . . . 41--71
Lucas Jódar Explicit solutions for second order
operator differential equations with two
boundary value conditions . . . . . . . 73--86
M. J. C. Gover A ring of Brownian matrices . . . . . . 87--102
Nicholas J. Higham Computing a Nearest Symmetric Positive
Semidefinite Matrix . . . . . . . . . . 103--118
Bojan Mohar Isoperimetric inequalities, growth, and
the spectrum of graphs . . . . . . . . . 119--131
Chong-Yun Chao A remark on symmetric circulant matrices 133--148
D. J. Evans and
C. Li Analysis of a symmetric extrapolated
iterative method for solving linear
systems . . . . . . . . . . . . . . . . 149--173
Rafael Brú and
Ludwig Elsner and
Michael Neumann Models of parallel chaotic iteration
methods . . . . . . . . . . . . . . . . 175--192
H. Bart and
H. Hoogland Complementary triangular forms of pairs
of matrices, realizations with
prescribed main matrices, and complete
factorization of rational matrix
functions . . . . . . . . . . . . . . . 193--228
H. Bart and
P. S. M. Kop Jansen Upper triangularization of matrices by
lower triangular similarities . . . . . 229--248
Anonymous Author index for volume 103 . . . . . . 249--249
Anonymous Editorial Board . . . . . . . . . . . . ii--iii
Wei Quan Dong and
Jia Yu Shao and
Chun Fei Dong On the exponents of primitive digraphs
with the shortest elementary circuit
length $s$ . . . . . . . . . . . . . . . 1--27
Alessandra Gambini Algorithms for soluble subalgebras of
finite-dimensional Lie algebras . . . . 29--38
Roberto Bevilacqua and
Bruno Codenotti and
Francesco Romani Parallel Solution of Block Tridiagonal
Linear Systems . . . . . . . . . . . . . 39--57
William Watkins A determinantal inequality for
correlation matrices . . . . . . . . . . 59--63
Luiz A. Peresi A note on duplication of algebras . . . 65--69
Luiz A. Peresi On derivations of baric algebras with
prescribed automorphisms . . . . . . . . 71--74
Peter Arbenz and
Walter Gander and
Gene H. Golub Restricted Rank Modification of the
Symmetric Eigenvalue Problem:
Theoretical Considerations . . . . . . . 75--95
Surjeet Singh A note on linear recurring sequences . . 97--101
Mark Kleiner Pairs of partially ordered sets of tame
representation type . . . . . . . . . . 103--115
M. Van Barel and
A. Bultheel An algebraic method to solve the minimal
partial realization problem for scalar
sequences . . . . . . . . . . . . . . . 117--129
Zhao Jun Bai Note on the Quadratic Convergence of
Kogbetliantz's Algorithm for Computing
the Singular Value Decomposition . . . . 131--140
Marvin Marcus and
Markus Sandy Symmetry properties of higher numerical
ranges . . . . . . . . . . . . . . . . . 141--164
LeRoy Beasley and
E. E. Underwood The 1987 Utah State University
Department of Mathematics Conference 29,
30, and 31 January 1987, Logan, Utah . . 165--249
Anonymous Author index for volume 104 . . . . . . 250--250
Anonymous Editorial Board . . . . . . . . . . . . ii--iii
Drago\vs Cvetkovi\'c Constructing trees with given
eigenvalues and angles . . . . . . . . . 1--8
Th. Beelen and
P. Van Dooren An Improved Algorithm for the
Computation of Kronecker's Canonical
Form of a Singular Pencil . . . . . . . 9--65
Jerome Dancis On the inertias of symmetric matrices
and bounded selfadjoint operators . . . 67--75
M. Fiedler Characterizations of Bézout and
Hankel--Bézout matrices . . . . . . . . . 77--89
Frank Critchley On certain linear mappings between
inner-product and squared-distance
matrices . . . . . . . . . . . . . . . . 91--107
I. Koltracht and
P. Lancaster Generalized Schur parameters and the
effects of perturbations . . . . . . . . 109--129
D. F. Miller The iterative solution of the matrix
equation ${XA}+{BX}+{C}=0$ . . . . . . . 131--137
T. Shamir Partial realization of symmetric matrix
rational functions . . . . . . . . . . . 139--161
Sujit Kumar Mitra Infimum of a pair of matrices . . . . . 163--182
R. A. Bousfield A theorem for symmetric $n$-linear forms 183--193
William C. Waterhouse The map behind a binomial coefficient
matrix over ${\bf Z} / p {\bf Z}$ . . . 195--198
Raphael Loewy Dimension of faces generated by certain
positive linear operators . . . . . . . 199--207
Miroslav Fiedler and
Thomas L. Markham A characterization of the closure of
inverse ${M}$-matrices . . . . . . . . . 209--223
Moody T. Chu A note on the homotopy method for linear
algebraic eigenvalue problems . . . . . 225--236
Ky Fan Inequalities for proper contractions and
strictly dissipative operators . . . . . 237--248
Anonymous Author index for volume 105 . . . . . . 249--249
Anonymous Editorial Board . . . . . . . . . . . . ii--iii
Tuck Sang Leóng A note on upper bounds on the maximum
modulus of subdominant eigenvalues of
nonnegative matrices . . . . . . . . . . 1--4
Daniel Hershkowitz and
Hans Schneider On the generalized nullspace of
${M}$-matrices and ${Z}$-matrices . . . 5--23
Daniel Hershkowitz and
Hans Schneider Solutions of $Z$-matrix equations . . . 25--38
Georg Heinig and
Karla Rost On the inverses of Toeplitz-plus-Hankel
matrices . . . . . . . . . . . . . . . . 39--52
M. J. C. Gover Review of \booktitleApplied Linear
Algebra by Riaz A. Usmani . . . . . . . 53--55
K. Zi\ketak On the characterization of the extremal
points of the unit sphere of matrices 57--75
M. A. Goberna and
M. A. López A theory of linear inequality systems 77--115
L. Mertens and
H. Van de Vel A special class of structured matrices
constructed with the Kronecker product
and its use for difference equations . . 117--147
R. Fletcher Degeneracy in the presence of roundoff
errors . . . . . . . . . . . . . . . . . 149--183
M. Madalena Martins and
Lala B. Krishna Some new results on the convergence of
the SSOR and USSOR methods . . . . . . . 185--193
Norman J. Pullman and
Miriam Stanford Singular $(0,1)$ matrices with constant
row and column sums . . . . . . . . . . 195--208
William N. Anderson, Jr. and
George E. Trapp The extreme points of a set of positive
semidefinite operators . . . . . . . . . 209--217
Ronald L. Smith Some notes on $Z$-matrices . . . . . . . 219--231
Miroslav Fiedler Characterizations of $MMA$-matrices . . 233--244
H. Väliaho Determining the inertia of a matrix
pencil as a function of the parameter 245--258
C. A. Butler and
T. D. Morley Six generalized Schur complements . . . 259--269
Rajendra Bhatia and
Fuad Kittaneh On some perturbation inequalities for
operators . . . . . . . . . . . . . . . 271--279
Anonymous Author index for volume 106 . . . . . . 280--280
Richard A. Brualdi and
Hans Schneider Preface . . . . . . . . . . . . . . . . 1--1
Charles R. Johnson Combinatorial matrix analysis: An
overview . . . . . . . . . . . . . . . . 3--15
Shmuel Friedland and
Daniel Hershkowitz The rank of powers of matrices in a
block triangular form . . . . . . . . . 17--22
John S. Maybee Some possible new directions for
combinatorial matrix analysis . . . . . 23--40
David Carlson Nonsingularity criteria for matrices
involving combinatorial considerations 41--56
Abraham Berman Complete positivity . . . . . . . . . . 57--63
Clark Jeffries Eigenvalues, stability, and color tests 65--76
Richard A. Brualdi Some applications of doubly stochastic
matrices . . . . . . . . . . . . . . . . 77--100
Jim Agler and
J. William Helton and
Scott McCullough nd Leiba Rodman Positive semidefinite matrices with a
given sparsity pattern . . . . . . . . . 101--149
Wayne W. Barrett and
Rodney W. Forcade and
Andrew D. Pollington On the spectral radius of a $(0,1)$
matrix related to Mertens' function . . 151--159
LeRoy B. Beasley Linear operators on matrices: the
invariance of rank-$k$ matrices . . . . 161--167
A. Berman and
S. K. Jain Nonnegative generalized inverses of
powers of nonnegative matrices . . . . . 169--179
Richard A. Brualdi and
Vera S. Pless and
Janet S. Beissinger On the MacWilliams identities for linear
codes . . . . . . . . . . . . . . . . . 181--189
C. D. Godsil and
B. Mohar Walk generating functions and spectral
measures of infinite graphs . . . . . . 191--206
A. Hadjidimos and
M. Neumann A note on the SSOR convergence domain
due to Neumaier and Varga . . . . . . . 207--217
John S. Maybee and
Daniel J. Richman Some properties of GM-matrices and their
inverses . . . . . . . . . . . . . . . . 219--236
P. Olivier and
Q. I. Rahman and
R. S. Varga On a new proof and sharpenings of a
result of Fejér on bounded partial sums 237--251
Dafna Shasha and
Abraham Berman More on the uniqueness of the Lyapunov
scaling factors . . . . . . . . . . . . 253--273
Bernd Sturmfels Totally positive matrices and cyclic
polytopes . . . . . . . . . . . . . . . 275--281
Robert C. Thompson Special cases of a matrix exponential
formula . . . . . . . . . . . . . . . . 283--292
Peter Lancaster and
Qiang Ye Inverse spectral problems for linear and
quadratic matrix pencils . . . . . . . . 293--309
D. D. Olesky and
P. van den Driessche Combinatorial Matrix Analysis
Conference, 20--23 May 1987, University
of Victoria, Victoria, BC, Canada . . . 311--357
Anonymous Author index for volume 107 . . . . . . 359--359
Anonymous Editorial Board . . . . . . . . . . . . i--ii
J. H. Maddocks Restricted quadratic forms, inertia
theorems, and the Schur complement . . . 1--36
Christopher Beattie and
David W. Fox Schur complements and the
Weinstein--Aronszajn theory for modified
matrix eigenvalue problems . . . . . . . 37--61
Gary L. Mullen and
Theresa P. Vaughan Cycles of linear permutations over a
finite field . . . . . . . . . . . . . . 63--82
Carlos Gamas Conditions for a symmetrized
decomposable tensor to be zero . . . . . 83--119
E. Seneta Sensitivity to perturbation of the
stationary distribution: some
refinements . . . . . . . . . . . . . . 121--126
William C. Waterhouse Inner product identities on the unit
circle . . . . . . . . . . . . . . . . . 127--134
Hong Yuan A bound on the spectral radius of graphs 135--139
Jeffrey L. Stuart The solutions to an infinite family of
matrix inequalities involving
${ZME}$-matrices . . . . . . . . . . . . 141--156
A. C. Antoulas Rational interpolation and the Euclidean
algorithm . . . . . . . . . . . . . . . 157--171
Robert Hartwig Review of \booktitleThe Theory of
Matrices, second edition, by Peter
Lancaster and Miron Tismenetsky . . . . 173--175
Man Kam Kwong On the definiteness of the solutions of
certain matrix equations . . . . . . . . 177--197
David Chillag Generalized circulants and class
functions of finite groups. II . . . . . 199--212
Roland Freund and
Thomas Huckle An extension problem for $H$-unitary
matrices with applications to Hermitian
Toeplitz matrices . . . . . . . . . . . 213--230
L. G. Sweet and
J. A. MacDougall On automorphisms of order three of
division algebras . . . . . . . . . . . 231--237
F. Conceição Silva Spectrally complete pairs of matrices 239--262
Seok-Zun Song Minimum permanents on certain faces of
matrices containing an identity
submatrix . . . . . . . . . . . . . . . 263--280
Anonymous Author index for volume 108 . . . . . . 281--281
Anonymous Editorial Board . . . . . . . . . . . . ii--iii
Gr. Arsene and
Zoia Ceau\csescu and
T. Constantinescu Schur analysis of some completion
problems . . . . . . . . . . . . . . . . 1--35
L. Elsner A note on the variation of permanents 37--39
W\lodzimierz Ogryczak The simplex method is not always well
behaved . . . . . . . . . . . . . . . . 41--57
Daniel Hershkowitz and
Uriel G. Rothblum and
Hans Schneider Characterizations and classifications of
${M}$-matrices using generalized
nullspaces . . . . . . . . . . . . . . . 59--69
Tanya A. Lypchuk and
Malcolm C. Smith and
Allen Tannenbaum Weighted sensitivity minimization:
general plants in ${H}^\infty$ and
rational weights . . . . . . . . . . . . 71--90
Karabi Datta The matrix equation ${XA}-{BX}={R}$ and
its applications . . . . . . . . . . . . 91--105
E. Marques de Sá A convexity lemma on the interlacing
inequalities for invariant factors . . . 107--113
T. L. Hayden and
Jim Wells Approximation by matrices positive
semidefinite on a subspace . . . . . . . 115--130
P. Bhimasankaram On generalized inverses of a block in a
partitioned matrix . . . . . . . . . . . 131--143
Harald K. Wimmer The matrix equation $X - A X B = C$ and
an analogue of Roth's theorem . . . . . 145--147
Takayuki Furuta The operator equation $T(H^{1 / n} T)^n
= K$ . . . . . . . . . . . . . . . . . . 149--152
W. E. Longstaff On tridiagonalization of matrices . . . 153--163
Bernd Sturmfels Tridiagonalization of complex matrices
and a problem of Longstaff . . . . . . . 165--166
Ren Cang Li A converse to the Bauer--Fike type
theorem . . . . . . . . . . . . . . . . 167--178
C. Franchetti and
U. Tiberio A numerical evaluation of projection
constants . . . . . . . . . . . . . . . 179--196
D. Rand and
P. Winternitz and
H. Zassenhaus On the identification of a Lie algebra
given by its structure constants. I.
Direct decompositions, Levi
decompositions, and nilradicals . . . . 197--246
Victor Eijkhout and
Ben Polman Decay rates of inverses of banded
${M}$-matrices that are near to Toeplitz
matrices . . . . . . . . . . . . . . . . 247--277
Anonymous Author index for volume 109 . . . . . . 279--279
Anonymous Editorial Board . . . . . . . . . . . . ii--iii
Dragomir \vZ. Djokovi\'c and
Mark P. Richards On singular values and similarity
classes of matrices . . . . . . . . . . 1--28
Gerhard Zielke Some Remarks on Matrix Norms, Condition
Numbers, and Error Estimates for Linear
Equations . . . . . . . . . . . . . . . 29--41
Peter Rowlinson On the maximal index of graphs with a
prescribed number of edges . . . . . . . 43--53
G. P. Barker and
L. T. Conner, Jr. and
D. P. Stanford Complete controllability and
contractibility in multimodal systems 55--74
Chi-Kwong Li and
Bit Shun Tam and
Nam Kiu Tsing Linear operators preserving the
$(p,q)$-numerical range . . . . . . . . 75--89
Steen A. Andersson and
Michael D. Perlman Group-invariant analogues of Hadamard's
inequality . . . . . . . . . . . . . . . 91--116
Juan-Enrique Martínez-Legaz and
Ivan Singer The structure of hemispaces in ${\bf
R}^n$ . . . . . . . . . . . . . . . . . 117--179
Chi-Kwong Li and
Nam-Kiu Tsing Duality between some linear preserver
problems. II. Isometries with respect to
$c$-spectral norms and matrices with
fixed singular values . . . . . . . . . 181--212
D. S. Watkins and
L. Elsner Self-similar flows . . . . . . . . . . . 213--242
James R. Weaver Real eigenvalues of nonnegative matrices
which commute with a symmetric matrix
involution . . . . . . . . . . . . . . . 243--253
H. Bart Upper triangularization of matrices by
permutations and lower triangular
similarity transformations . . . . . . . 255--261
Jian Ming Miao and
Donald W. Robinson Group and Moore--Penrose inverses of
regular morphisms with kernel and
cokernel . . . . . . . . . . . . . . . . 263--270
Donald G. James Representations of anisotropic unitary
groups. II . . . . . . . . . . . . . . . 271--284
Apostolos Hadjidimos and
Theodore S. Papatheodorou and
Yiannis G. Saridakis Optimal block iterative schemes for
certain large, sparse, and nonsymmetric
linear systems . . . . . . . . . . . . . 285--318
Kang Man Liu Decomposition of matrices into three
involutions . . . . . . . . . . . . . . 1--24
Joel E. Cohen Spectral inequalities for matrix
exponentials . . . . . . . . . . . . . . 25--28
Jean-Pierre Dedieu Matrix homographic iterations and bounds
for the inverses of certain band
matrices . . . . . . . . . . . . . . . . 29--42
Dénes Petz and
Jaroslav Zemánek Characterizations of the trace . . . . . 43--52
Pei Yuan Wu Products of positive semidefinite
matrices . . . . . . . . . . . . . . . . 53--61
Hans Schneider and
Jeffrey Stuart Allowable spectral perturbations of
ZME-matrices . . . . . . . . . . . . . . 63--118
D. Vere-Jones A generalization of permanents and
determinants . . . . . . . . . . . . . . 119--124
H. Schreck and
G. Tinhofer A note on certain subpolytopes of the
assignment polytope associated with
circulant graphs . . . . . . . . . . . . 125--134
Walter D. Morris, Jr. Counterexamples to ${Q}$-matrix
conjectures . . . . . . . . . . . . . . 135--145
Philippe J. Deschamps A note on isomorphic characterizations
of the dispersion matrix in
error-component models . . . . . . . . . 147--150
Oscar Adolfo Sánchez Valenzuela Matrix computations in linear
superalgebra . . . . . . . . . . . . . . 151--181
George D. Poole and
Michael Laidacker Projectionally exposed cones in $R^3$ 183--190
Allan J. MacLeod Finite-dimensional regularization with
nonidentity smoothing matrices . . . . . 191--207
Akihiro Nishi A generalization of the Binet--Minc
formula for the evaluation of permanents 209--218
Melvyn W. Jeter and
Wallace C. Pye Structure properties of $W$ matrices . . 219--229
Claude Brezinski Other manifestations of the Schur
complement . . . . . . . . . . . . . . . 231--247
Thomas H. Pate Lower bounds for permanents of Gram
matrices having a rank one principal
submatrix . . . . . . . . . . . . . . . 249--259
Paul A. Bekker The positive semidefiniteness of
partitioned matrices . . . . . . . . . . 261--278
P. Stahlecker and
G. Trenkler Full and partial minimax estimation in
regression analysis with additional
linear constraints . . . . . . . . . . . 279--292
N. Eagambaram Generalized inverses with nonnegative
principal minors . . . . . . . . . . . . 293--312
Achiya Dax Linear programming via least squares . . 313--324
Richard A. Brualdi Review of \booktitleProceedings of the
Second International Tampere Conference
in Statistics, edited by Tarmo Pukkila
and Simo Puntanen . . . . . . . . . . . 325--326
Anonymous Author index for volume 111 . . . . . . 327--327
Charles R. Johnson A Gershgorin-type lower bound for the
smallest singular value . . . . . . . . 1--7
Jerzy K. Baksalary and
Augustyn Markiewicz A matrix inequality and admissibility of
linear estimators with respect to the
mean square error matrix criterion . . . 9--18
Tomasz Szulc A lower bound for the Perron root of a
nonnegative matrix. II . . . . . . . . . 19--27
Izchak Lewkowicz Bounds for the singular values of a
matrix with nonnegative eigenvalues . . 29--37
R. Mneimné Formule de Taylor pour le déterminant et
deux applications. (French) [Taylor's
formula for the determinant, and two
applications] . . . . . . . . . . . . . 39--47
Ming Xian Pang On constructions of partially
nonpositive matrices . . . . . . . . . . 49--55
Donald W. Robinson and
Wayne W. Barrett The Jordan $1$-structure of a matrix of
Redheffer . . . . . . . . . . . . . . . 57--73
Yong Chuan Chen and
Aditya Shastri On joint realization of $(0,1)$ matrices 75--85
J. Patera and
H. Zassenhaus On Lie gradings. I . . . . . . . . . . . 87--159
Harald K. Wimmer Root vectors and Jordan chains of
integer matrices . . . . . . . . . . . . 161--168
D. C. Dzeng and
W. W. Lin HMDR and FMDR algorithms for the
generalized eigenvalue problem . . . . . 169--187
G. W. Stewart On Scaled Projections and
Pseudo-Inverses . . . . . . . . . . . . 189--193
Roberto Costa A note on Bernstein algebras . . . . . . 195--205
Robert E. Atalla Saturated sets of probability measures
and stochastic matrices . . . . . . . . 207--216
U. Kamps Chebyshev polynomials and least squares
estimation based on one-dependent random
variables . . . . . . . . . . . . . . . 217--230
Mu Sheng Wei The perturbation of consistent least
squares problems . . . . . . . . . . . . 231--245
Anonymous Author index for volume 112 . . . . . . 247--247
Anonymous Editorial Board . . . . . . . . . . . . ii--iii
Jerzy Browkin A theorem of Sturm and ${K}_1$ for rings
of real continuous functions . . . . . . 1--6
A. Greenbaum Behavior of Slightly Perturbed Lanczos
and Conjugate-Gradient Recurrences . . . 7--63
Georg Heinig and
Karla Rost Matrix representations of
Toeplitz-plus-Hankel matrix inverses . . 65--78
Artibano Micali and
Tânia M. M. Campos and
Maria C. Costa e Silva and
Silvia M. M. Ferreira Dérivations dans les alg\`ebres
gamétiques. III. (French) [Derivations in
gametic algebras. III] . . . . . . . . . 79--99
Hong Yuan Sharp lower bounds on the eigenvalues of
trees . . . . . . . . . . . . . . . . . 101--105
M. Seetharama Gowda Pseudomonotone and copositive star
matrices . . . . . . . . . . . . . . . . 107--118
Li Lei Convergence of asynchronous iteration
with arbitrary splitting form . . . . . 119--127
Takayuki Furuta A proof via operator means of an order
preserving inequality . . . . . . . . . 129--130
Guo Dong Zhang On the convergence rate of the $QL$
algorithm with Wilkinson's shift . . . . 131--137
Paul Binding and
Patrick J. Browne Two parameter eigenvalue problems for
matrices . . . . . . . . . . . . . . . . 139--157
Wen Li On regular splittings of an ${M}$-matrix 159--172
António Leal Duarte Construction of acyclic matrices from
spectral data . . . . . . . . . . . . . 173--182
Anonymous Author index for volume 113 . . . . . . 183--183
Anonymous Editorial Board . . . . . . . . . . . . ii--iii
Uriel Rothblum Preface . . . . . . . . . . . . . . . . 1--16
James B. Shearer On the distribution of the maximum
eigenvalue of graphs . . . . . . . . . . 17--20
Jon Lee Subspaces with well-scaled frames . . . 21--56
D. K. Ray-Chaudhuri and
N. M. Singhi $q$-analogues of $t$-designs and their
existence . . . . . . . . . . . . . . . 57--68
Carl D. Meyer Uncoupling the Perron Eigenvector
Problem . . . . . . . . . . . . . . . . 69--94
Dieter Jungnickel Partial spreads over ${Z}_q$ . . . . . . 95--102
J. A. Thas Interesting pointsets in generalized
quadrangles and partial geometries . . . 103--131
A. A. Ivanov and
S. V. Shpectorov The association schemes of dual polar
spaces of type ${}^2{A}_{2d-1}(p^f)$ are
characterized by their parameters if
$d\geq 3$ . . . . . . . . . . . . . . . 133--139
A. Neumaier Graph representations, two-distance
sets, and equiangular lines . . . . . . 141--156
A. Schrijver Homotopy and crossings of systems of
curves on a surface . . . . . . . . . . 157--167
Joel E. Cohen and
Ezio Marchi and
Jorge A. Oviedo Perturbation theory of completely mixed
bimatrix games . . . . . . . . . . . . . 169--180
Richard A. Brualdi and
T. S. Michael The class of matrices of zeros, ones,
and twos with prescribed row and column
sums . . . . . . . . . . . . . . . . . . 181--198
Peter J. Cameron A problem on integer matrices . . . . . 199--206
A. M. H. Gerards A short proof of Tutte's
characterization of totally unimodular
matrices . . . . . . . . . . . . . . . . 207--212
P. Delsarte and
J. J. Seidel Fisher type inequalities for Euclidean
$t$-designs . . . . . . . . . . . . . . 213--230
R. W. Cottle and
J.-S. Pang and
V. Venkateswaran Sufficient matrices and the linear
complementarity problem . . . . . . . . 231--249
George B. Dantzig Making progress during a stall in the
simplex algorithm . . . . . . . . . . . 251--259
Roy Meshulam On two extremal matrix problems . . . . 261--271
A. E. Brouwer and
A. Neumaier The graphs with spectral radius between
$2$ and $\sqrt{2+\sqrt{5}}$ . . . . . . 273--276
Robert E. Bixby and
Arvind Rajan A short proof of the Truemper--Tseng
theorem on max-flow min-cut matroids . . 277--292
A. V. Karzanov Polyhedra related to undirected
multicommodity flows . . . . . . . . . . 293--328
András Frank and
Éva Tardos An application of submodular flows . . . 329--348
Uri N. Peled and
Murali K. Srinivasan The polytope of degree sequences . . . . 349--377
W. H. Haemers and
D. G. Higman Strongly regular graphs with strongly
regular decomposition . . . . . . . . . 379--398
David Carlson and
Daniel Hershkowitz Nonsingularity criteria for general
combinatorially symmetric matrices . . . 399--416
B. Curtis Eaves and
Uriel G. Rothblum A continuous-time average-cost flexible
manufacturing and operator scheduling
model solved by deconvexification over
time . . . . . . . . . . . . . . . . . . 417--428
Hui Hu and
Qing Wang On approximate solutions of infinite
systems of linear inequalities . . . . . 429--438
L. Lovász and
M. Saks and
A. Schrijver Orthogonal representations and
connectivity of graphs . . . . . . . . . 439--454
V. Chvátal and
W. Cook and
M. Hartmann On cutting-plane proofs in combinatorial
optimization . . . . . . . . . . . . . . 455--499
Earl R. Barnes Circular discs containing eigenvalues of
normal matrices . . . . . . . . . . . . 501--521
M. Grötschel and
K. Truemper Master polytopes for cycles of binary
matroids . . . . . . . . . . . . . . . . 523--540
C. A. J. Hurkens On the existence of an integral
potential in a weighted bidirected graph 541--553
Bo Henry Lindqvist Asymptotic properties of powers of
nonnegative matrices, with applications 555--588
Refael Hassin and
Nimrod Megiddo On orientations and shortest paths . . . 589--602
N. S. Mendelsohn and
R. Padmanabhan Self-inscribed polygons with vertices on
nonsingular cubic curves . . . . . . . . 603--611
Collette R. Coullard and
William R. Pulleyblank On cycle cones and polyhedra . . . . . . 613--640
Susumu Horiguchi and
Willard L. Miranker Noisy sort, a memory-intensive sorting
algorithm . . . . . . . . . . . . . . . 641--658
Michael Doob The limit points of eigenvalues of
graphs . . . . . . . . . . . . . . . . . 659--662
Arthur F. Veinott, Jr. Conjugate duality for convex programs: a
geometric development . . . . . . . . . 663--667
Noga Alon and
Steven Cosares and
Dorit S. Hochbaum and
Ron Shamir An algorithm for the detection and
construction of Monge sequences . . . . 669--680
Arthur F. Veinott, Jr. Representation of general and polyhedral
subsemilattices and sublattices of
product spaces . . . . . . . . . . . . . 681--704
R. B. Bapat and
T. E. S. Raghavan An extension of a theorem of Darroch and
Ratcliff in loglinear models and its
application to scaling multidimensional
matrices . . . . . . . . . . . . . . . . 705--715
Joel Franklin and
Jens Lorenz On the scaling of multidimensional
matrices . . . . . . . . . . . . . . . . 717--735
Uriel G. Rothblum and
Hans Schneider Scalings of matrices which have
prespecified row sums and column sums
via optimization . . . . . . . . . . . . 737--764
Uriel G. Rothblum Generalized scalings satisfying linear
equations . . . . . . . . . . . . . . . 765--783
Michael H. Schneider Matrix scaling, entropy minimization,
and conjugate duality. I. Existence
conditions . . . . . . . . . . . . . . . 785--813
Walter Gander and
Gene H. Golub and
Urs von Matt A Constrained Eigenvalue Problem . . . . 815--839
Charles A. Micchelli and
Hartmut Prautzsch Uniform refinement of curves . . . . . . 841--870
Kenneth Wolsson A condition equivalent to linear
dependence for functions with vanishing
Wronskian . . . . . . . . . . . . . . . 1--8
Daniel Hershkowitz and
Uriel G. Rothblum and
Hans Schneider The combinatorial structure of the
generalized nullspace of a block
triangular matrix . . . . . . . . . . . 9--26
Guo Rong Wang A Cramer rule for finding the solution
of a class of singular equations . . . . 27--34
W. C. Chu Some algebraic identities concerning
determinants and permanents . . . . . . 35--40
Michael Gorodetsky On block Toeplitz matrices with analytic
symbol . . . . . . . . . . . . . . . . . 41--51
Shreeram Abhyankar and
Devadatta M. Kulkarni On Hilbertian ideals . . . . . . . . . . 53--79
M. L. Narayana Rao and
K. Satyanarayana and
G. Vithal Rao On a class of derived translation planes
of square order . . . . . . . . . . . . 81--99
William A. Adkins Simultaneous diagonalization of matrices
parametrized by a projective algebraic
curve . . . . . . . . . . . . . . . . . 101--108
C. W. Norman Resultants and Lyapunov matrix equations 109--120
H. Väliaho Almost copositive matrices . . . . . . . 121--134
Ton Geerts All optimal controls for the singular
linear-quadratic problem without
stability and a new interpretation of
the optimal cost . . . . . . . . . . . . 135--181
Anonymous Author index for volume 116 . . . . . . 183--183
Anonymous Editorial Board . . . . . . . . . . . . ii--iii
David L. Powers Bounds on graph eigenvalues . . . . . . 1--6
Aart Blokhuis and
Henny Wilbrink and
Gunter Teumer Unit vectors with nonnegative inner
products and Kruskal's conjecture . . . 7--9
Cristian Mallol and
Artibano Micali Sur les alg\`ebres de Bernstein. II.
(French) [On Bernstein algebras. II] . . 11--19
Marc Wagowski The Tutte group of a weakly orientable
matroid . . . . . . . . . . . . . . . . 21--24
Alan Camina and
Johannes Siemons Intertwining automorphisms in finite
incidence structures . . . . . . . . . . 25--34
Pei Yuan Wu The operator factorization problems . . 35--63
Eugenius Kaszkurewicz and
Amit Bhaya Qualitative stability of discrete-time
systems . . . . . . . . . . . . . . . . 65--71
K. Wolsson Linear dependence of a function set of
$m$ variables with vanishing generalized
Wronskians . . . . . . . . . . . . . . . 73--80
M. J. C. Gover The determination of companion matrices
characterizing Toeplitz and $r$-Toeplitz
matrices . . . . . . . . . . . . . . . . 81--92
Seymour Kass Spaces of closest fit . . . . . . . . . 93--97
J. C. Chen and
M. X. Lai On a conjecture by Fiedler, Markham, and
Neumann . . . . . . . . . . . . . . . . 99--103
Harald K. Wimmer Generalized Bézoutians and block Hankel
matrices . . . . . . . . . . . . . . . . 105--113
D. J. Hartfiel Cone control on nonnegative control
equations . . . . . . . . . . . . . . . 115--126
Edgar M. E. Wermuth Two remarks on matrix exponentials . . . 127--132
Fergus Gaines Fourth Dublin Conference on Matrix
Theory and Its Applications . . . . . . 133--183
Anonymous Author index for volume 117 . . . . . . 185--185
Anonymous Editorial Board . . . . . . . . . . . . ii--iii
Robert Roth On the eigenvectors belonging to the
minimum eigenvalue of an essentially
nonnegative symmetric matrix with
bipartite graph . . . . . . . . . . . . 1--10
K. Pohlmeyer Solution of the constraints for tensors
generated by iterated integrals . . . . 11--60
Fuad Kittaneh On the continuity of the absolute value
map in the Schatten classes . . . . . . 61--68
Scott Beslin and
Steve Ligh Greatest common divisor matrices . . . . 69--76
Ray Redheffer and
Peter Volkmann Positive linear functionals and the
order cone . . . . . . . . . . . . . . . 77--82
Mordechai Lewin On inverse $M$-matrices . . . . . . . . 83--94
Raphael Loewy On faces generated by certain positive
linear transformations . . . . . . . . . 95--106
D. S. Watkins and
L. Elsner Self-equivalent flows associated with
the generalized eigenvalue problem . . . 107--127
Man Kam Kwong Some results on matrix monotone
functions . . . . . . . . . . . . . . . 129--153
Antonio Di Nola and
Salvatore Sessa On the Schein rank of matrices over
linear lattices . . . . . . . . . . . . 155--158
M. J. C. Gover Comparative review of \booktitleApplied
Linear Algebra, 3rd ed., by B. Noble and
J. W. Daniel and \booktitleLinear
Algebra and Its Applications, 3rd ed.,
by G. Strang . . . . . . . . . . . . . . 159--161
T. Ando Majorization, Doubly Stochastic
Matrices, and Comparison of Eigenvalues 163--248
Anonymous Author index for volume 118 . . . . . . 249--249
Anonymous Editorial Board . . . . . . . . . . . . ii--iii
Li Fang On the spectra of $P$- and
$P_0$-matrices . . . . . . . . . . . . . 1--25
Carsten Thomassen When the sign pattern of a square matrix
determines uniquely the sign pattern of
its inverse . . . . . . . . . . . . . . 27--34
King-wah Eric Chu Symmetric solutions of linear matrix
equations by matrix decompositions . . . 35--50
H. Albuquerque and
F. Silva Leite On the generators of semisimple Lie
algebras . . . . . . . . . . . . . . . . 51--56
Jerzy K. Baksalary and
Friedrich Pukelsheim and
George P. H. Styan Some properties of matrix partial
orderings . . . . . . . . . . . . . . . 57--85
R. Gatto and
G. Sartori Biunitarily diagonalizable families of
compact linear operators . . . . . . . . 87--96
Chi-Kwong Li and
Nam-Kiu Tsing The numerical range of derivations . . . 97--119
R. E. MacRae On the theory of division algebras . . . 121--128
C.-T. Pan A vector majorization method for solving
a nonlinear programming problem . . . . 129--139
Andreas Frommer and
Günter Mayer Convergence of relaxed parallel
multisplitting methods . . . . . . . . . 141--152
D. Maru\vsi\vc and
R. Scapellato and
N. Zagaglia Salvi A characterization of particular
symmetric $(0,1)$ matrices . . . . . . . 153--162
H. Väliaho Quadratic-programming criteria for
copositive matrices . . . . . . . . . . 163--182
Anonymous Author index for volume 119 . . . . . . 183--183
Abraham Berman and
Daniel Hershkowitz and
Leonid Lerer Preface . . . . . . . . . . . . . . . . 1--1
Shmuel Friedland and
David London Binyamin Schwarz --- on the occasion of
his 70th birthday . . . . . . . . . . . 3--8
Robert C. Thompson Cyclic shifts and an exponential formula 9--21
P. A. Fuhrmann and
B. N. Datta On Bézoutians, Vandermonde matrices, and
the Liénard--Chipart stability criterion 23--37
Izchak Lewkowicz Remarks on equality in Johnson's lower
bounds for the smallest singular value
of a matrix . . . . . . . . . . . . . . 39--46
Volker Mehrmann and
Gerd M. Krause Linear transformations which leave
controllable multi-input descriptor
systems controllable . . . . . . . . . . 47--64
Michael Neumann and
Ronald J. Stern Discrete approximations to reachability
cones of linear differential systems . . 65--79
Thomas J. Laffey Factorizations of integer matrices as
products of idempotents and nilpotents 81--93
A. Ben-Artzi and
I. Gohberg Inertia theorems for nonstationary
discrete systems and dichotomy . . . . . 95--138
István Beck Partial orders and the modular group . . 139--147
Harald K. Wimmer Linear matrix equations: the module
theoretic approach . . . . . . . . . . . 149--164
Ron Aharoni and
Yair Censor Block-iterative projection methods for
parallel computation of solutions to
convex feasibility problems . . . . . . 165--175
Binyamin Schwarz and
Abraham Zaks Generalized contractions of the matrix
unit disk . . . . . . . . . . . . . . . 177--180
Ananda D. Gunawardena and
S. K. Jain and
Larry Snyder On the periodicity of the graph of
nonnegative matrices . . . . . . . . . . 181--192
K.-H. Förster and
B. Nagy On the Collatz--Wielandt numbers and the
local spectral radius of a nonnegative
operator . . . . . . . . . . . . . . . . 193--205
Avram Sidi On extensions of the power method for
normal operators . . . . . . . . . . . . 207--224
Ludwig Elsner and
Charles R. Johnson Nonnegative matrices, zero patterns, and
spectral inequalities . . . . . . . . . 225--236
Abraham Berman and
Daniel Hershkowitz and
Leonid Lerer Haifa 1988 Conference on Matrix Theory 237--243
Florin Avram Szeg\Ho's theorem for sums with
dependent indices . . . . . . . . . . . 243--249
LeRoy B. Beasley and
Thomas J. Laffey Linear operators on matrices: the
invariance of rank-$k$ matrices . . . . 249--251
Rafael Bru and
Robert Fuster Convergence of the parallel chaotic
block extrapolated Jacobi method . . . . 252--257
Doron Gill and
Eitan Tadmor An $O(N^2)$ method for computing the
eigensystem of $N \times N$ symmetric
tridiagonal matrices by the
divide-and-conquer approach . . . . . . 257--258
I. Navot Optimization of functionals of Hurwitz
polynomials . . . . . . . . . . . . . . 258--260
D. D. Olesky and
T. A. Slater Recognition and ordering algorithms for
global inheritance in $LU$
factorizations . . . . . . . . . . . . . 260--262
Stavros A. Zenios Nonlinear network models for matrix
balancing and the estimation of social
accounting matrices . . . . . . . . . . 262--269
Richard A. Brualdi and
Hans Schneider Errata: Omissions in Volume 100: ``20
year index: Vol. 1--100, 1968/1988''
[Linear Algebra Appl. \bf 100 (1988), MR
89h:15001] . . . . . . . . . . . . . . . 271--271
Anonymous Referees for volumes 101--120 . . . . . 273--277
Anonymous Author index for Volumes 101--120 . . . 279--289
Anonymous Editorial Board . . . . . . . . . . . . ii--iii
Graciano de Oliveira Preface . . . . . . . . . . . . . . . . 1--2
Robert C. Thompson Convergence proof for Goldberg's
exponential series . . . . . . . . . . . 3--7
J. Kautský and
N. K. Nichols and
E. K.-W. Chu Robust Pole Assignment in Singular
Control Systems . . . . . . . . . . . . 9--37
L. Jódar and
H. Abou-Kandil Kronecker products and coupled matrix
Riccati differential systems . . . . . . 39--51
W. B. Gragg and
L. Reichel On singular values of Hankel operators
of finite rank . . . . . . . . . . . . . 53--70
Robert J. Plemmons and
Stephen J. Wright An efficient parallel scheme for
minimizing a sum of Euclidean norms . . 71--85
M. Gasca and
J. J. Martínez On the computation of determinants
arising in some bivariate rational
interpolation problems . . . . . . . . . 87--93
Krzysztof Tcho\'n On structural instability of normal
forms of affine control systems subject
to static state feedback . . . . . . . . 95--104
H. J. Woerdeman Minimal rank completions for block
matrices . . . . . . . . . . . . . . . . 105--122
F. Silva Leite Pairs of generators for compact real
forms of the classical Lie algebras . . 123--133
M. Bisiacco and
E. Fornasini and
G. Marchesini 2D systems feedback compensation: an
approach based on commutative linear
transformations . . . . . . . . . . . . 135--150
Raphael Loewy Linear transformations which preserve or
decrease rank . . . . . . . . . . . . . 151--161
D. J. Evans and
C. Li A note on the SOR and CG methods for
large least squares problems . . . . . . 163--170
Rafael Brú and
Vicente Hernández Structural properties of discrete-time
linear positive periodic systems . . . . 171--183
Gregory S. Ammar and
William B. Gragg Numerical experience with a superfast
real Toeplitz solver . . . . . . . . . . 185--206
George Phillip Barker Automorphism groups of algebras of
triangular matrices . . . . . . . . . . 207--215
Abdellah Benzaouia and
Christian Burgat Existence of nonsymmetrical stability
domains for linear systems . . . . . . . 217--231
Francisco Marcellán Español and
Isabel Rodríguez González A class of matrix orthogonal polynomials
on the unit circle . . . . . . . . . . . 233--241
Biswa Nath Datta Parallel and large-scale matrix
computations in control: some ideas . . 243--264
Wayne W. Barrett and
Charles R. Johnson and
Michael Lundquist Determinantal formulae for matrix
completions associated with chordal
graphs . . . . . . . . . . . . . . . . . 265--289
Volker Mehrmann Existence, uniqueness, and stability of
solutions to singular linear quadratic
optimal control problems . . . . . . . . 291--331
Vicente Hernández and
Maite Gassó Explicit solution of the matrix equation
${AXB}-{CXD}={E}$ . . . . . . . . . . . 333--344
Jorma Kaarlo Merikoski and
Ari Virtanen Some notes on de Oliveira's
determinantal conjecture . . . . . . . . 345--352
Juan-M. Gracia and
Inmaculada de Hoyos and
Ion Zaballa Perturbation of linear control systems 353--383
A. I. Durand-Alegría and
J. López-Sánchez and
A. Pérez de Vargas Zygotic algebra for two-linked loci with
sexually different recombination and
mutation rates . . . . . . . . . . . . . 385--399
Gabriela Sansigre and
Manuel Alvarez On Bézoutian reduction with the
Vandermonde matrix . . . . . . . . . . . 401--408
Ion Zaballa Interlacing and majorization in
invariant factor assignment problems . . 409--421
Ma. Asunción Beitia and
Ion Zaballa Factorization of the matrix polynomial
$A(\lambda) = A_0 \lambda^ t + A_1
\lambda^{t - 1} + \cdots + A_{t - 1}
\lambda + A_t$ . . . . . . . . . . . . . 423--432
N. Karcanias and
G. Kalogeropoulos Projective equivalence of homogeneous
binary polynomials . . . . . . . . . . . 433--453
N. Karcanias and
D. R. Wilson Decentralized diagonal dynamic
stabilization of linear multivariable
systems . . . . . . . . . . . . . . . . 455--474
J. Chun and
T. Kailath A constructive proof of the
Gohberg--Semencul formula . . . . . . . 475--489
Jean Michel Dion A transfer matrix approach to feedback
invariants of linear systems:
application to decoupling . . . . . . . 491--510
Timo Eirola and
Olavi Nevanlinna Accelerating with rank-one updates . . . 511--520
Itziar Baragaña Interlacing inequalities for regular
pencils . . . . . . . . . . . . . . . . 521--535
R. Bru and
J. Vitória International Conference on Linear
Algebra and Applications, 28--30
September 1987, Universidad Politecnica
de Valencia, Valencia, Spain . . . . . . 537--710
Anonymous Author index for volume 121 . . . . . . 711--712
Anonymous Editorial Board . . . . . . . . . . . . ii--iii
N. Kravitsky and
Z. Waksman On some resultant identities . . . . . . 3--21
Raimund Ober and
Duncan McFarlane Balanced canonical forms for minimal
systems: a normalized coprime factor
approach . . . . . . . . . . . . . . . . 23--64
Ton Geerts Continuity properties of the
cheap-control problem without stability 65--104
Avraham Feintuch Stabilization and sensitivity for
eventually time-invariant systems . . . 105--114
M. Koci\cecki and
K. M. Przy\luski On the number of controllable linear
systems over a finite field . . . . . . 115--122
Bostwick F. Wyman and
Michael K. Sain and
Giuseppe Conte and
Anna-Maria Perdon On the zeros and poles of a transfer
function . . . . . . . . . . . . . . . . 123--144
Ciprian Foia\cs and
Allen Tannenbaum On the parametrization of the suboptimal
solutions in generalized interpolation 145--164
Cédric J. Demeure Fast ${QR}$ factorization of Vandermonde
matrices . . . . . . . . . . . . . . . . 165--194
Mauro Bisiacco and
Ettore Fornasini and
Giovanni Marchesini Dynamic regulation of 2D systems: a
state-space approach . . . . . . . . . . 195--218
J. W. Polderman Adaptive LQ control: conflict between
identification and control . . . . . . . 219--244
S. Longhi and
A. Perdon and
G. Conte Geometric and algebraic structure at
infinity of discrete time linear
periodic systems . . . . . . . . . . . . 245--271
Edmond A. Jonckheere and
Jyh-Ching Juang and
Leonard M. Silverman Spectral theory of the linear-quadratic
and ${H}\sp \infty$ problems . . . . . . 273--300
A. C. Antoulas and
B. D. O. Anderson On the problem of stable rational
interpolation . . . . . . . . . . . . . 301--329
U. Helmke and
D. Hinrichsen and
W. Manthey A cell decomposition of the space of
real Hankel matrices of rank $\le n$ and
some applications . . . . . . . . . . . 331--355
M. S. Liv\vsic and
Y. Avishai A study of solitonic combinations based
on the theory of commuting
nonselfadjoint operators . . . . . . . . 357--414
N. Karcanias and
C. Giannakopoulos Necessary and sufficient conditions for
zero assignment by constant squaring
down . . . . . . . . . . . . . . . . . . 415--446
J. Gamst and
K. Hoechsmann An invariance property of Hankel forms 447--456
Rob Luesink and
Henk Nijmeijer On the stabilization of bilinear systems
via constant feedback . . . . . . . . . 457--474
Harald K. Wimmer Bézoutians of polynomial matrices and
their generalized inverses . . . . . . . 475--487
D. Hinrichsen and
D. Prätzel-Wolters A Jordan canonical form for reachable
linear systems . . . . . . . . . . . . . 489--524
L. Pandolfi Controllability properties of perturbed
distributed parameter systems . . . . . 525--538
Zden\vek Vav\vrín Remarks on complexity of polynomial and
special matrix computations . . . . . . 539--564
Edmond Jonckheere and
Chingwo Ma Recursive partial realization from the
combined sequence of Markov parameters
and moments . . . . . . . . . . . . . . 565--590
Michel Malabre Generalized linear systems: geometric
and structural approaches . . . . . . . 591--621
Uwe Helmke Rational functions and Bézout forms: a
functorial correspondence . . . . . . . 623--640
Anders Rantzer Equivalence between stability of partial
realizations and feedback
stabilization---applications to reduced
order stabilization . . . . . . . . . . 641--653
J. W. Nieuwenhuis Modern linear systems theory . . . . . . 655--680
Toshiharu Sugie and
Toshiro Ono On doubly coprime factorizations . . . . 681--696
Kenji Sugimoto and
Yutaka Yamamoto On successive pole assignment by
linear-quadratic optimal feedbacks . . . 697--723
Kazuo Murota Some recent results in combinatorial
approaches to dynamical systems . . . . 725--759
R. W. Brockett Least squares matching problems . . . . 761--777
E. Rogers and
D. H. Owens Axis positivity and the stability of
linear multipass processes . . . . . . . 779--796
D. J. Clements and
K. Glover Spectral factorization via Hermitian
pencils . . . . . . . . . . . . . . . . 797--846
Yuval Bistritz and
Hanoch Lev-Ari and
Thomas Kailath Immittance- versus scattering-domain
fast algorithms for non-Hermitian
Toeplitz and quasi-Toeplitz matrices . . 847--888
Shinji Hara and
Hak-Kyung Sung Constraints on sensitivity
characteristics in linear multivariable
discrete-time control systems . . . . . 889--919
M. Deistler and
Liqun Wang The common structure of parametrizations
for linear systems . . . . . . . . . . . 921--941
L. E. Fa\u\ibusovich ${\rm QR}$-type factorizations, the
Yang--Baxter equation, and an eigenvalue
problem of control theory . . . . . . . 943--971
Marc Van Barel and
Adhemar Bultheel A canonical matrix continued fraction
solution of the minimal (partial)
realization problem . . . . . . . . . . 973--1002
P. Rocha and
J. C. Willems State for $2$-D systems . . . . . . . . 1003--1038
U. Helmke and
P. A. Fuhrmann Bézoutians . . . . . . . . . . . . . . . 1039--1097
Bruce R. Ebanks On the equation $F(X) + M(X) G(X^{-1}) =
0$ on $K^n$ . . . . . . . . . . . . . . 1--17
Hillel Gauchman and
Lee A. Rubel Sums of products of functions of $x$
times functions of $y$ . . . . . . . . . 19--63
Edmond Jonckheere and
Chingwo Ma A simple Hankel interpretation of the
Berlekamp--Massey algorithm . . . . . . 65--76
Bit-Shun Tam and
Shiow Fang Wu On the Collatz--Wielandt sets associated
with a cone-preserving map . . . . . . . 77--95
Daniel Hershkowitz A majorization relation between the
height and the level characteristics . . 97--101
Victor Vinnikov Complete description of determinantal
representations of smooth irreducible
curves . . . . . . . . . . . . . . . . . 103--140
W. Govaerts and
J. D. Pryce A singular value inequality for block
matrices . . . . . . . . . . . . . . . . 141--148
Anonymous Note from the Editor-in-Chief . . . . . 149--149
Alexander Shapiro Erratum: ``Identifiability of factor
analysis: some results and open
problems'' [Linear Algebra Appl. \bf 70
(1985), 1--7, MR 86m:62114] . . . . . . 149--149
Anonymous Author index for volume 125 . . . . . . 151--151
Anonymous Editorial Board . . . . . . . . . . . . ii--iii
Charles R. Johnson and
Tracy A. Summers The potentially stable tree sign
patterns for dimensions less than five 1--13
Aaron Fialkow Linear dependence of linear
transformations and images . . . . . . . 15--37
Ji\vrí Rohn Systems of Linear Interval Equations . . 39--78
Adolf Rhodius On almost scrambling stochastic matrices 79--86
Tomasz Szulc A contribution to the theory of
${M}$-matrices . . . . . . . . . . . . . 87--89
Endre Makai, Jr. and
Jaroslav Zemánek On polynomial connections between
projections . . . . . . . . . . . . . . 91--94
Ratna Bhattacharya and
Kalyan Mukherjea On unitary similarity of matrices . . . 95--105
R. B. Bapat Mixed discriminants of positive
semidefinite matrices . . . . . . . . . 107--124
Henk A. L. Kiers and
Jos M. F. Ten Berge Optimality conditions for the trace of
certain matrix products . . . . . . . . 125--134
Paul M. Weichsel Distance-regular graphs in block form 135--148
Richard A. Brualdi Review of \booktitleRecent Results in
the Theory of Graph Spectra by D.
Cvetkovi\'c, M. Doob, I. Gutman, and A.
Torga\vsev . . . . . . . . . . . . . . . 149--150
Dianne P. O'Leary On Bounds For Scaled Projections and
Pseudo-Inverses . . . . . . . . . . . . 115--117
Anonymous Author index for volume 126 . . . . . . 151--151
Anonymous Editorial board . . . . . . . . . . . . ii--iii