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Persistent URL http://purl.org/net/epubs/work/29628
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Record Id 29628
Title The Rational Lanczos Method for the Hermitian Eigenvalue Problem
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.
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Language English (EN)
Type Details URI(s) Local file(s) Year
Report RAL Technical Reports RAL-TR-1999-025. 1999. raltr-1999025.pdf 1999