Document Type
Article
Date of Original Version
2005
Abstract
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.
Citation/Publisher Attribution
Baglama, J., & Reichel, L. (2005). Augmented Implicitly Restarted Lanczos Bidiagonalization Methods. SIAM J. Sci. Comput., 27(1), 19-42. doi: 10.1137/04060593X
Available at: https://doi.org/10.1137/04060593X
Terms of Use
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