Computing derivatives of repeated eigenvalues and corresponding eigenvectors of quadratic eigenvalue problems (Q2866225)
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scientific article; zbMATH DE number 6238077
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Computing derivatives of repeated eigenvalues and corresponding eigenvectors of quadratic eigenvalue problems |
scientific article; zbMATH DE number 6238077 |
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13 December 2013
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derivatives of eigenvalues and eigenvectors
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multiple eigenvalues
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quadratic eigenvalue problems
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algorithm
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0.94362384
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0.94083357
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0.9328916
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0.92969066
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0.9291009
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0.9196422
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Computing derivatives of repeated eigenvalues and corresponding eigenvectors of quadratic eigenvalue problems (English)
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This paper deals with computing derivatives of multiple eigenvalues and corresponding eigenvectors of quadratic eigenvalue problems in which the coefficient matrices are functions of a real parameter. By extending the methods and the analysis by \textit{A. L. Andrew} and \textit{R. C. E. Tan} [SIAM J. Matrix Anal. Appl. 20, No. 1, 78--100 (1998; Zbl 0919.65026)], the authors propose, analyse, and test new algorithms that are valid much more generally.
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