Last update:
Wed Nov 8 11:50:19 MST 2023
Alan J. Hoffman Preface . . . . . . . . . . . . . . . . v--v
J. H. Wilkinson Almost Diagonal Matrices with Multiple
or Close Eigenvalues . . . . . . . . . . 1--12
Marvin Marcus and
Stephen Pierce Extensions of the Minkowski inequality 13--27
R. Rado An extension of Sylvester's law of
inertia . . . . . . . . . . . . . . . . 29--31
Ky Fan An inequality for subadditive functions
on a distributive lattice, with
application to determinantal
inequalities . . . . . . . . . . . . . . 33--38
Olga Taussky The factorization of the adjugate of a
finite matrix . . . . . . . . . . . . . 39--41
R. C. Thompson On the matrices AB and BA . . . . . . . 43--58
David Carlson A new criterion for $H$-stability of
complex matrices . . . . . . . . . . . . 59--64
Richard A. Brualdi and
Helmut W. Wielandt A spectral characterization of
stochastic matrices . . . . . . . . . . 65--71
Emilie V. Haynsworth Determination of the inertia of a
partitioned Hermitian matrix . . . . . . 73--81
K. P. Hadeler Ein inverses Eigenwertproblem. (German)
[An inverse eigenvalue problem] . . . . 83--101
Richard W. Cottle and
George B. Dantzig Complementary pivot theory of
mathematical programming . . . . . . . . 103--125
Fergus Gaines Kato--Taussky--Wielandt commutator
relations . . . . . . . . . . . . . . . 127--138
P. G. Ciarlet Some results in the theory of
nonnegative matrices . . . . . . . . . . 139--152
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Hubert S. Butts and
Dennis Estes Modules and binary quadratic forms over
integral domains . . . . . . . . . . . . 153--180
Arthur F. Veinott, Jr. Extreme points of Leontief substitution
systems . . . . . . . . . . . . . . . . 181--194
Edward A. Bender Classes of matrices and quadratic fields 195--201
P. J. Erdelsky A general theorem on dominant-diagonal
matrices . . . . . . . . . . . . . . . . 203--209
R. C. Thompson and
P. McEnteggert Principal submatrices II: the upper and
lower quadratic inequalities . . . . . . 211--243
Vlastimil Pták Spectral radius, norms of iterates, and
the critical exponent . . . . . . . . . 245--260
C. S. Ballantine Triangularizing matrices by congruence 261--280
J. J. Seidel Strongly regular graphs with $ ( - 1, 1,
0) $ adjacency matrix having eigenvalue
$3$ . . . . . . . . . . . . . . . . . . 281--298
Emilie V. Haynsworth and
Alexander M. Ostrowski On the inertia of some classes of
partitioned matrices . . . . . . . . . . 299--316
Morris Newman An identity of A. Ostrowski . . . . . . 317--319
Richard Bellman Some inequalities for the square root of
a positive definite matrix . . . . . . . 321--324
H. Schwerdtfeger Remarks on the generalized inverse of a
matrix . . . . . . . . . . . . . . . . . 325--328
Richard S. Varga Nonnegatively posed problems and
completely monotonic functions . . . . . 329--347
Olga Taussky Automorphs and generalized automorphs of
quadratic forms treated as
characteristic value relations . . . . . 349--356
P. Wynn Vector continued fractions . . . . . . . 357--395
Magnus R. Hestenes Pairs of Quadratic Forms . . . . . . . . 397--407
J. H. Wilkinson Global Convergence of Tridiagonal $ Q R
$ Algorithm with Origin Shifts . . . . . 409--420
Marvin Marcus and
Henry Minc Extensions of classical matrix
inequalities . . . . . . . . . . . . . . 421--444
L. Fox and
Linda Hayes Polynomial factorization and the Q-D
algorithm . . . . . . . . . . . . . . . 445--463
John W. Rainey The tridiagonal forms of real,
nonderogatory matrices . . . . . . . . . 465--469
N. S. Mendelsohn An application of matrix theory to a
problem in universal algebra . . . . . . 471--478
H. Rutishauser Once again: the least square problem . . 479--488
Peter Henrici and
Katharina Zimmermann An Estimate for the Norms of Certain
cyclic Jacobi Operators . . . . . . . . 489--501
Hans F. Bückner A minimal property of the Jordan
canonical form . . . . . . . . . . . . . 503--510
J. L. Brenner Applications of the Dieudonné determinant 511--536
Peter Läuchli Algebraic reduction of electrical
multiterminal networks . . . . . . . . . 537--561
P. Lancaster and
P. N. Webber Jordan chains for lambda matrices . . . 563--569
Martin H. Pearl Generalized inverses of matrices with
entries taken from an arbitrary field 571--587
Anonymous Author index . . . . . . . . . . . . . . 589--590
Anonymous Title index . . . . . . . . . . . . . . 591--592
R. E. L. Turner Perturbation with two parameters . . . . 1--11
B. W. Levinger Minimal Gerschgorin sets, III . . . . . 13--19
Marvin Marcus and
Stephen Pierce Elementary divisors of associated
transformations . . . . . . . . . . . . 21--35
C. S. Ballantine A note on the matrix equation $ H = A P
+ P A^* $ . . . . . . . . . . . . . . . 37--47
Bertram Mond and
Morgan A. Hanson A complex transposition theorem with
applications to complex programming . . 49--56
Yueh-Er Kuo Some extensions of the elementary
divisor theorem of linear algebra . . . 57--64
K. P. Hadeler Multiplikative inverse
eigenwertprobleme. (German)
[Multiplicative inverse eigenvalue
problems] . . . . . . . . . . . . . . . 65--86
Thomas S. Baskett and
Irving J. Katz Theorems on products of EP $_r$ matrices 87--103
Gerald Lee Bradley The eigenvalue set of a class of
equimodular matrices . . . . . . . . . . 105--116
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
S. M. Lozinskiy On an Estimate of the Spectral Radius
and Spectral Abscissa of Matrix . . . . 117--125
R. A. Smith and
L. Mirsky The areal spread of matrices . . . . . . 127--129
Richard D. Hill Inertia theory for simultaneously
triangulable complex matrices . . . . . 131--142
M. Stuart Lynn and
William P. Timlake Bounds for Perron eigenvectors and
subdominant eigenvalues of positive
matrices . . . . . . . . . . . . . . . . 143--152
Eldon Hansen On the solution of linear algebraic
equations with interval coefficients . . 153--165
Albert W. Marshall and
Ingram Olkin Norms and inequalities for condition
numbers, II . . . . . . . . . . . . . . 167--172
K. P. Hadeler Submultiplikative Normen auf Algebren.
(German) [Submultiplicative norms in
algebras] . . . . . . . . . . . . . . . 173--189
Miroslav Fiedler A characterization of tridiagonal
matrices . . . . . . . . . . . . . . . . 191--197
D. Chazan and
W. L. Miranker Chaotic Relaxation . . . . . . . . . . . 199--222
F. Robert Blocs-$H$-matrices et convergence des
méthodes iteratives classiques par blocs.
(French) [Block $H$-matrices and
convergence of classical iterative
methods by blocks] . . . . . . . . . . . 223--265
P. Rózsa On periodic continuants . . . . . . . . 267--274
F. L. Bauer and
E. Deutsch and
J. Stoer Abschätzungen für die eigenwerte positiver
linearer operatoren. (German) [Estimates
for the eigenvalues of positive linear
operators] . . . . . . . . . . . . . . . 275--301
Duane W. Bailey and
Douglas E. Crabtree Bounds for determinants . . . . . . . . 303--309
P. J. Eberlein Remarks on the van der Waerden
conjecture, II . . . . . . . . . . . . . 311--320
M. V. Menon and
Hans Schneider The spectrum of a nonlinear operator
associated with a matrix . . . . . . . . 321--334
S. G. Williamson Tensor Contraction and Hermitian Forms 335--347
Olga Taussky A generalization of matrix commutativity 349--353
R. C. Thompson Principal submatrices IV. On the
independence of the eigenvalues of
different principal submatrices . . . . 355--374
R. C. Thompson Principal submatrices VI. Cases of
equality in certain linear inequalities 375--379
James W. Daniel and
Theodore W. Palmer On $ \sigma (T) $, $ ||T|| $, and $
||T^{-1}|| $ . . . . . . . . . . . . . . 381--386
Emilie Haynsworth and
A. J. Hoffman Two remarks on compositive matrices . . 387--392
Bertram Mond Generalized inverse extensions of matrix
inequalities . . . . . . . . . . . . . . 393--399
Bertram Mond and
Morgan A. Hanson Some generalizations and applications of
a complex transposition theorem . . . . 401--411
John Heading Zilch and simultaneous partial
differential equations . . . . . . . . . 413--425
Masao Iri The maximum-rank minimum-term-rank
theorem for the pivotal transforms of a
matrix . . . . . . . . . . . . . . . . . 427--446
J. J. A. Moors Minimizing a norm of a matrix . . . . . 447--449
Ralph E. Gomory Some polyhedra related to combinatorial
problems . . . . . . . . . . . . . . . . 451--558
Anonymous Author index . . . . . . . . . . . . . . 559--560
Anonymous Title index . . . . . . . . . . . . . . 561--562