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Bai Z. (ed.) — Templates for the Solution of Algebraic Eigenvalue Problems: A Practical Guide
Bai Z. (ed.) — Templates for the Solution of Algebraic Eigenvalue Problems: A Practical Guide



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Название: Templates for the Solution of Algebraic Eigenvalue Problems: A Practical Guide

Автор: Bai Z. (ed.)

Аннотация:

This provides a unified overview of theory, algorithms, and practical software for eigenvalue problems.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: New Edition

Год издания: 2000

Количество страниц: 410

Добавлена в каталог: 24.04.2010

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Relatively robust representation algorithm for HEP      51
Reorthogonalization of Lanczos method for GHEP      118
Reorthogonalization of Lanczos method for HEP      61
Residual vector of GHEP      129 131
Residual vector of GNHEP      278
Residual vector of HEP      105
Residual vector of NHEP      229
Residual vector of QEP      282
Residual vector of SVD      137
Restart of Arnoldi method, explicit      163
Restart of Arnoldi method, implicit      169
Restart of block Arnoldi method      188
Restart of Jacobi — Davidson method for GNHEP      240
Restart of Jacobi — Davidson method for HEP      95
Restart of Jacobi — Davidson method for NHEP      221
Restart of Lanczos method, implicit      67
Ritz, harmonic, value      41
Ritz, value      40
Ritz, vector      40
Roots of polynomial      27
ScaLAPACK for HEP      49
ScaLAPACK for NHEP      157
ScaLAPACK for SVD      138
Schur decomposition (form)      25
Schur decomposition (form), generalized      31
Schur decomposition (form), generalized, partial      239
Schur decomposition (form), partial      166 225
Schur decomposition (form), simultaneous      296
Schur decomposition (form), simultaneous, sg_min example      302
sg_min, modifying      304
sg_min, nearest Jordan structure problem      295
sg_min, Procrustes problem      294
sg_min, Rayleigh quotient      295
sg_min, simultaneous Schur, decomposition      296
Shift selection for IRLM      69
Shift-and-invert      44 340
Shift-and-invert for GNHEP      237
Shift-and-invert for QEP      285
Shift-and-invert, inexact      352
Shift-and-invert, IRAM for NHEP      183
Shift-and-invert, Lanczos method for GHEP      119
Shift-and-invert, Lanczos method for HEP      60
Shift-and-invert, Lanczos method for NHEP      193
Shift-and-invert, rational Krylov      246
Shift-and-invert, symmetric indefinite Lanczos      252
Similarity transformation      12 24
Simultaneous Schur decomposition, by sg_min      296
Singular (matrix) pencil      34 261
Singular subspace      19
Singular value decomposition (SVD)      18 135
Singular value decomposition (SVD), compact      19 135
Singular value decomposition (SVD), generalized      21 146
Singular value decomposition (SVD), more generalized      146
Singular value decomposition (SVD), partial      20
Singular value decomposition (SVD), thin      19 135
Singular value decomposition (SVD), truncated      19 135
Singular value decomposition (SVD), updating      370
Sparse matrix storage      315-319
Sparse matrix storage, BCRS      316-317
Sparse matrix storage, CCS      316
Sparse matrix storage, CDS      317
Sparse matrix storage, CRS      315-316
Sparse matrix storage, JDS      318-319
Sparse matrix storage, SKS      319
Spectral transformation      43
Spectral transformation for QEP      284
Spectral transformation, Lanczos method for HEP      60
Stiefel — Grassmann optimization      290
Stiefel — Grassmann optimization, sg_min      291
Subspace iteration for HEP      54
Subspace iteration for NHEP      159
Subspace iteration, preconditioned      363
Subspace of approximants      38
Symmetric definite pencil      109
Symmetric definite pencil, preconditioned solver      352
Symmetric indefinite matrix pencil      249
Transfer function      214
Transformation to standard problem, GHEP      112
Transformation to standard problem, GNHEP      235
Updating, eigenproblems      370
Updating, the SVD      370
Weierstrass form      30
Weierstrass — Schur form      31
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