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| Marcus M., Minc H. — Survey of matrix theory and matrix inequalities |
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| Предметный указатель |
Perlis, S. 90
Permanent 18
Permanent, Binet — Cauchy theorem 20
Permanent, expansion by row or column 19
Permanent, Laplace expansion 20
Permutation 11
Permutation, even 11
Permutation, matrix 12
Permutation, odd 11
Permutation, sign of 11
Perron — Frobenius theorem 124
Perron, O. 145 148 171
Perron’s theorem 144
Pham, D. 90
Pick, G. 144 173
Pick’s Theorem 144
Polar factorization 74
Polynomial, characteristic 21
Polynomial, minimal 50
Positive  -tuple 121
Positive matrix 121
Positive semidefinite 69
Positive-definite 59
Positive-definite, matrix 69
Power means 105
Power of a matrix 3
Prime 40
Prime, relatively 40
Primitive matrix 128
Principal subdeterminant 12
Principal submatrix 11
Product of a matrix and a vector 3
Product of matrices 2
Product of matrices in terms of rows and columns 4
Product of matrices, Kronecker 8
Product of vectors, Grassmann 17
Product of vectors, skew-symmetric 17
Product of vectors, symmetric 21
Proper values 23
Property  79
Pythagorean Theorem 61
Quadratic form 82
Quasi-commutative 78
Rank of a matrix 27
Rational canonical form 53
Reducible 56 122
Ree, R. 137
Relatively prime 40
Rohrbach'e thoorem 159
Rohrbach, H. 159 173
Roth, W. E. 01
Row of a matrix 2
Row stochastic matrix 133
Row vector 2
Ryser, H. J. 91
Scalar multiplication of a matrix 2
Scalar multiplication of a vector 3
Schneider, H. 160 173
Schneider’s theorem 145
Schreier, O. 90
Schur triangularization theorem 67
Schur, I. 91 135 143 173
Schur’s Inequality 142
Schwartz, J. 90
Schwarz, H. R. 173
Schwerdtfeger, H. 90
Secular values 23
Semistable matrix 158
Sequence sets 9
Sequence sets,  10
Sequence sets,  10
Sequence sets,  9
Sequence sets,  10
Shilov, G. E. 90
Signature 83 84
Silverman, R. A. 90
Similar matrices 46
Similarity invariants 48
simplex 98
Simplex, dimension of 99
Singular matrix 3
Singular values 69
Skew-Hermitian 62
Skew-symmetric matrix 63
| Skew-symmetric matrix, complex 63
Skew-symmetric product 17
Smirnov, V. I. 90
Smith normal form 44
Spanning vectors 28
Sperner, E. 90
Spread of a matrix 167
Stable matrix 158
Stein, P. 173
Stochastic row 133 160
Stochastic, doubly 05 129
Stoll, R. R. 90
Subdeterminant 12
Subdeterminant, principal 12
Subdeterminant, quadratic relations among 16
SubMatrix 10
Submatrix, principal 11
Sum of matrices 2
Sum of matrices, direct 5
Sum of vectors 3
Sum of vectors, direct 7
Swift, J. D. 90
Sylvester — Franke theorem 17
Sylvester’s law 28
Sylvester’s law of inertia 83
Symmetric function 104
Symmetric function, completely 24
Symmetric function, elementary 10
Symmetric group 11
Symmetric matrix 63
Symmetric matrix, complex 63
Symmetric product 21
Symplectic matrix 75
Sz sz, O. 134
Szekeres, G. 91
Tambs — Lyche, R. 173
Taussky, O. 91 146 160 173
Tensor product 8
Thrall, R. 90
Todd, J. 171
toeplitz 0 173
Tornheim, L. 90
Trace 17
Trace, linearity of 18
Transpose of a matrix 5
Transpose of a matrix, conjugate 5
Transposition 11
Triangle inequality 61
Triple diagonal, form 81
Triple diagonal, matrix 166
Turnbull, H. W. 90
UNIT 32 40
Unit matrix 42
Unit vector 60
Unitary matrix 62
Unitary similarity 66
Unitary space 60
Van der Waerden conjecture 129 130 132
van der Waerden, B. L. 137
Vandermonde matrix 15
Vector 2
Vector space 28
Vector space, basis of 29
Vector space, closure 28
Vector space, dimension 29
Vector space, intersection 28
Vector space, sum 28
Vector, characteristic 39
Vector, column 2
Vector, eigen 39
Vector, latent 39
Vector, proper 39
Vector, row 2
Vector, unit 60
Vertices 97
Walker, A. G. 173
Wedderburn, J. H. 90
Weston, J. D. 173
Weyl, H. 137
Weyl’s inequalities 116
Whiteley, J. N. 137
Wiegmann, N. A. 92
Wielandt, H. W. 92 137 172 173
Zurmuhl, R. 91
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