4.6 Article

Restarted block Lanczos bidiagonalization methods

Journal

NUMERICAL ALGORITHMS
Volume 43, Issue 3, Pages 251-272

Publisher

SPRINGER
DOI: 10.1007/s11075-006-9057-z

Keywords

partial singular value decomposition; restarted iterative method; implicit shifts; augmentation

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The problem of computing a few of the largest or smallest singular values and associated singular vectors of a large matrix arises in many applications. This paper describes restarted block Lanczos bidiagonalization methods based on augmentation of Ritz vectors or harmonic Ritz vectors by block Krylov subspaces.

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