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- W2080606886 abstract "Applications such as the modal analysis of structures and acoustic cavities require a number of eigenvalues and eigenvectors of large-scale Hermitian eigenvalue problems. The most popular method is probably the spectral transformation Lanczos method. An important disadvantage of this method is that a change of pole requires a complete restart. In this paper, we investigate the use of the rational Krylov method for this application. This method does not require a complete restart after a change of pole. It is shown that the change of pole can be considered as a change of Lanczos basis. The major conclusion of this paper is that the method is numerically stable when the poles are chosen in between clusters of the approximate eigenvalues. Copyright © 2001 John Wiley & Sons, Ltd." @default.
- W2080606886 created "2016-06-24" @default.
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- W2080606886 date "2000-01-01" @default.
- W2080606886 modified "2023-09-25" @default.
- W2080606886 title "Changing poles in the rational Lanczos method for the Hermitian eigenvalue problem" @default.
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- W2080606886 doi "https://doi.org/10.1002/1099-1506(200101/02)8:1<33::aid-nla226>3.0.co;2-b" @default.
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