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Persistent URL
http://purl.org/net/epubs/work/29628
Record Status
Checked
Record Id
29628
Title
The Rational Lanczos Method for the Hermitian Eigenvalue Problem
Contributors
K Meerbergen
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. We prove that for a specific implementation, numerical instabilities can occur when the pole is not chosen carefully. Numerical examples illustrate the theory.
Organisation
CCLRC
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Language
English (EN)
Type
Details
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Year
Report
RAL Technical Reports
RAL-TR-1999-025. 1999.
raltr-1999025.pdf
1999
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