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Schneider H. (ed.) — Recent advances in matrix theory
Schneider H. (ed.) — Recent advances in matrix theory

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Название: Recent advances in matrix theory

Автор: Schneider H. (ed.)

Аннотация:

The theory of matrices goes back to Sylvester and Cayley, particularly to Cayley's famous memoir of 1858. The subject Is thus classical and central In the mathematical tradition. This century, mathematical progress has been richer and more rapid than ever before.
New mathematical disciplines have arisen, several of which have their roots In matrix theory. This is true of the structure theory of algebras. Functional analysis generalizes many familiar results on matrices. Recently there has been vigorous development in the use of matrices In combinatorial problems. In turn these fields have
strongly Influenced more recent developments in matrix theory. The matrix theorist must not confine his interests to only one branch of modern mathematics. Rather, he must be a technician whose special skills are applied to problems in algebra, analysis, computation, number theory, combinatorial analysis or topology as the need arises. Conversely, workers in these fields may find a knowledge of recent progress in matrices useful. To these, as well as the matrix specialists, the present volume is addressed.


Язык: en

Рубрика: Математика/

Серия: Сделано в холле

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1964

Количество страниц: 142

Добавлена в каталог: 17.03.2011

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$C^n \rightarrow 0$      133
Absolute      49
Afriat      137
Albert      137
Alpha-width      107
Aronszajne      136
arrow      133
Bartels      132
Bauer, F.L.      130
Bellman      132 136 137
Birkhoff      86
Bordering      136
Brauer, A.      127 130 132 138
Brenner      136 137 138
Browne      130
Bueckner's theorem      45
Carlson      133
Characteristic polynomials of product of matrices      138
Characteristic roots, simplicity of      83
Class $\mathfrak{A} (K)$      122
Class $\mathfrak{A} (R)$      110
Class $\mathfrak{A} (R, S)$      104
Column sum vector      104
Comparability      98
Comparability, constant      94
Comparable      94
Completely non negative      137
Compound matrix      136
Condition number      130
Convex body      46
Convex body, cone      87
Convexity      134
Cournat      136
Cross-ratio      87 91
David      122
Davis, C.      126 135
Decomposable      62
Diagonals      137
Dominant      137
Dominant root      127
Double interchange      113
Downing      132
Drazin      134
Dungey      134
Elementary divisors      84
Elements, rearrangements of      138
Elements, replacing of      136
Equilibrated      46
Exclusion region      39
Exclusion region theorem      39 53
Exponent, of even      4
Factor analysis      137
Fan      129 130 135 136 137
Farahat      138
Feingold      55 137
Fiedler      55 125 126 136 137
Fisher, M.E.      132
Flanders      134
Ford      122
Forsythe      125 130 132 137
Foster      131
Frebenius      134
Friedman      136
Fulkerson      115 121 122 123
Fuller, A.F.      132
Functional analysis      81
Functionals      94
Functionals, linear positive      94
Functionals, r-multilinear      61
Gale      123
Gantmacher      123 137
Gauss Seidel iteration method      132
Gauss transformation      137
Generalized stochastic matrix      10
Gershgorin      39 57 128
Gershgorin circle sets      129
Gershgorin theorem      53
Gerstenhaber      134 135
givens      136
Goddard      138
Goldstine      130
Golub      130
Gross      121
Gruenberg      134
Haber      108 123
Hadamard inequality      137
Hadamard tournament matrix      122
Hadamard — Schur product      136
Haynsworth      137
Hermitian matrices, products of      133
hilbert      87
Hilbert matrix      137
Hoffman, A.J.      115 122 126 130 136 137
Hopf, E.      92
Horn      130 132 136 137
Householder      128 133 136 137
Incidence matrix      103 132
Inclusion region      39
Inclusion region, theorem      39 42 47
Indecomposable      127
Initial part of row      115
Interchange      106
Interchange, theorem      106
Invariant      103 106
Inverse-characteristic value problem      132
Irreducible class      121
Irreducible class, components      120
Irreducible class, matrix      119
Johnson      123
Kac      134
Kantorovich      57
Kato      127
Kingman      135
Koenig      107 123
Kotelyanskii      127 128 136 137
Krein      137
Kronecker, product of      136
Krylov iterates      43
Landau      110 123
Lax, A.      127 135
Least square problem      130
Lebesque — Stieltjes integral      92
Lederman      138
Lehmann      41
Lewis, D.C.      136
Liapunov, theorem of      133
Lidskii      132 135
Lie algebras      134
Liederman      136
Line of matrix      106
Localization theorem      39
Loewy      132
lotkin      137
Lowner      135
Majorization      104 127
Marcus      121 123 132 135 136 137
Matrices      127
Matrices with identical characteristic equations      138
Matrices, commuting      134
Matrices, moment      44
Matrix function      64
Matrix, block diagonal      136
Matrix, commuting      136
Matrix, double stodhastic      66
Maximal comparable part      98
Maximal matrix      104
McAndrew      115 122
McCoy      134
Miller      135
Minc      123 135
Minimax theorems      41
Minkowski inequality      137
Moez, Amir      130 132
Monotone column sum vector      104
Monotone row sum vector      104
Monotone tournament matrix      110
Monotonic      49
Monotonicity      134
Moon      123
Moser      121 124
Motzkin      134 137
Nirschl      39 41 55 137
Non negative matrices      127
Norm      46
Normalized class      107
Normalized class, matrix      109
Nudel’man      132
Number theoretical problem      131
Oldenburger, R., lemma of      81
Operator, completely symmetric      63
Operator, permutation      63
Operator, skew symmetric      63
Operator, symmetry      63
Oppenheim      137
Ore      123
Osborne, E.E.      138
Ostrowski      55 126 128 130 132 133 136 137 138
Pall      137
Parker, W.V.      130 138
Permanent      64
Perron's theorems      81
Perturbation      125
Polar decomposition      135
Positive matrices      81
Positive matrices, operators      92
Power-positive      4
Power-positive of odd exponent      4
Projective metric      86
Property L      127 134
Property P      134
Ptak      55
Rayleigh quotient theorem      39 42
Reduced      4
Reducible matrix      119
Relaxation method      137
Rellich      126
Robertson      138
Rothe, W.E.      138
Round robin matrix      109
Round robin tournament      109
Row sum vector      104
Ryser      123
Schneider, H.      39 41 133 134
Schroeder      57
schur      83
Schwarz, B.      138
Separation locus      43
Separation locus, polynomial      43
Separation locus, theorems      42
Shoda      132
Singular values      130
Size of matrix      103
Skew symmetric      63
Stable      132
Stable, stable D      133
Stable, stable H      133
Stable, stable S      133
Stein, P.      134
Steinberg, R.      136
Stochastic      128
Strang      136
Straus      130 132
Subdeterminants      136
Svarcman      132
Swanson      49
Symmetric product      63
Symmetrization      129
Symmetry class      63
Taussky      127 130 132 133 134 136 138
Tensor product      62
Tensors      4
Tensors, contravariant      62
Term rank      106
Terminal part of row      115
Thompson, R.C.      136 132
Todd, J.      130 133
Tournament matrix      109
Transition point      118
Triangle inequality      98
Uniformly positive      99
Unreduced      4
Van der Waerden, conjecture of      66
Varga      55 128 133 136 137
Vector lattices      87
Vector, oscillation of a      97
Vector-lattice      97
von Neumann      130
Weinberger      135
Weyl, H.      130 135
Wiegmann      135
Wielandt      49 126 132 133 135 136
Williamson      137
Young D., successive overrelaxation      132
Zassenhaus      133
Zero-one matrix      103
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