The bounds of the smallest and largest eigenvalues for rank-one modification of the Hermitian eigenvalue problem (Q450210)
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scientific article; zbMATH DE number 6081810
| Language | Label | Description | Also known as |
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| English | The bounds of the smallest and largest eigenvalues for rank-one modification of the Hermitian eigenvalue problem |
scientific article; zbMATH DE number 6081810 |
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The bounds of the smallest and largest eigenvalues for rank-one modification of the Hermitian eigenvalue problem (English)
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13 September 2012
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Motivated by the rank-one modification of the real symmetric eigenvalue problems studied by \textit{X. Huang, Z. Bai} and \textit{Y. Su} [J. Comput. Math. 28, No. 2, 218--234 (2010; Zbl 1224.65093)], the authors investigate the Hermitian counterpart. They obtain some bounds on the smallest and largest eigenvalue and give some numerical examples to show that the bounds are good.
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eigenvalue bounds
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rank-one modification
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Hermitian matrices
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numerical examples
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