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Augmented implicitly restarted Lanczos bidiagonalization methods

delete2005-01-01
delete238
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J
James Baglama *
L
Lothar Reichel
DOI:10.1137/04060593Xdelete
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摘要

摘要

En 中文
New restarted Lanczos bidiagonalization methods for the computation of a few of the largest or smallest singular values of a large matrix are presented. Restarting is carried out by augmentation of Krylov subspaces that arise naturally in the standard Lanczos bidiagonalization method. The augmenting vectors are associated with certain Ritz or harmonic Ritz vectors. Computed examples show the new methods to be competitive with available schemes.
Keyword:
singular value computation
partial singular value decomposition
iterative method
large-scale computation
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期刊

SIAM Journal on Scientific Computing 封面图
SIAM Journal on Scientific Computing
IF:
2.6
论文数:
5.1K
被引数:
1.8W

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