Bounds for the variation of the roots of a polynomial and the eigenvalues of a matrix (Q749619)
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scientific article; zbMATH DE number 4173153
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Bounds for the variation of the roots of a polynomial and the eigenvalues of a matrix |
scientific article; zbMATH DE number 4173153 |
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Bounds for the variation of the roots of a polynomial and the eigenvalues of a matrix (English)
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1990
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The authors derive some new bounds for the distance between the roots of two polynomials in terms of their coefficients. The argument used in the proof of this result is then utilized to obtain bounds for the distance between the eigenvalues of two matrices in terms of the operator norm of their difference.
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zeros of polynomials
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operator norms
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spectral norm
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distance
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eigenvalues
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