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| Saad Y. — Numerical Methods for Large Eigenvalue Problems |
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| Предметный указатель |
Schur form, example 24
Schur form, non-uniqueness 25
Schur form, partial 24
Schur form, quasi 24
Schur form, real 24
Schur vectors 24 128 181 236
Schur vectors in subspace iteration 157
Schur vectors under Wielandt deflation 121
Schur — Wielandt deflation 123
Schur — Wielandt deflation, complex eigenvalues 124
Second resolvent equality 67
Selective reorthogonalization 195
Self-adjoint 296
Semi-simple 15
Serious breakdown 191—193
Shift-and-invert 116 258 263—267
Shift-and-invert for matrix pairs 293
Shift-and-invert with Arnoldi’s method 263
Shift-and-invert, complex arithmetic 260
Shift-and-invert, real and complex arithmetic 262
Shifted power method 113 178
Similarity transformation 14
Simple eigenvalue 15
Singular matrix pair 285
Singularities of the resolvent 66
Skew-Hermitian matrices 5
Skew-symmetric matrices 5
Socio-technical matrix 318
Span of q vectors 11
Sparse direct solvers 46
Sparse matrices 37—57
Sparse matrices, basic operations 44
Sparse matrices, direct solvers 46
Sparse matrices, matrix-vector operation 44
Sparse matrices, storage schemes 40
Sparse matrices, triangular system solution 46
Sparsity 37
SPARSKIT 40 53
Spectral decomposition 22
Spectral projector 22
Spectral radius 4
Spectral Transformation Lanczos 298
Spectrum of a matrix 4
Stability 314
Stability of a nonlinear system 313
Stability of dynamical systems 313
Stability, linear 314
Staircase iteration 152
| Stationary distribution 320
Stieljes algorithm 186
Stochastic matrices 320
Storage formats 40—44
Storage formats, coordinate 40
Storage formats, CSR 42
Storage formats, Ellpack — Itpack 43
Storage of sparse matrices 40
Structural engineering 311
Structured sparse matrix 39
subspace 11
Subspace iteration 151—165
Subspace iteration with linear shifts 162
Subspace iteration with preconditioning 163
Subspace iteration with projection 156
Subspace iteration, convergence 156
Subspace iteration, locking in 160
Subspace iteration, multiple step version 153
Subspace iteration, practical implementation 160
Subspace iteration, simple version 152
Subspace of approximants 126
Sum of two subspaces 11
Sylvester’s equation 100
Symmetric matrices 5
Test problems 47
Three-term recurrence 222
Trace 4
Transition probability matrix 320
Transpose conjugate 3
Transpose of a matrix 3
Tridiagonal matrices 6
Unitary matrices 6
Unstructured sparse matrix 39
Upper triangular matrix 6
Upper triangular matrix, critical damping 307
Upper triangular matrix, damped free vibrations 307
Upper triangular matrix, forced 308
Upper triangular matrix, free forced 308
Upper triangular matrix, free vibrations 306
Upper triangular matrix, overdamping 307
Upper triangular matrix, underdamping 307
Vibrations 305
Weierstrass — Kronecker canonical form 289
Wielandt deflation 117—122 292
Wielandt deflation, optimality in 119
Wielandt’s theorem 118
YSMP 47
Zarantonello’s lemma 145
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