Bounds for the variation of matrix eigenvalues and polynomial roots (Q1336400)
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scientific article; zbMATH DE number 665778
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Bounds for the variation of matrix eigenvalues and polynomial roots |
scientific article; zbMATH DE number 665778 |
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Bounds for the variation of matrix eigenvalues and polynomial roots (English)
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1 March 1995
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Upper bounds are derived for two given complex matrices, for the optimal matching distance between the spectrum using the spectral norm. The case of arbitrary matrix norms is treeted. A similar result estimates the optimal matching distance between the roots of two polynomials. Numerical results are also presented.
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variation of matrix eigenvalues
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polynomial roots
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numerical results
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spectral norm
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matrix norms
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optimal matching distance
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