An iterated eigenvalue algorithm for approximating roots of univariate polynomials (Q697487)
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scientific article; zbMATH DE number 1801676
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An iterated eigenvalue algorithm for approximating roots of univariate polynomials |
scientific article; zbMATH DE number 1801676 |
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An iterated eigenvalue algorithm for approximating roots of univariate polynomials (English)
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17 September 2002
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The author studies an iterative algorithm that approximates all roots of a univariate polynomial. The iteration is based on floating-point computation of the eigenvalues of a generalized companion matrix. A few interesting examples including ill-conditioned polynomials are carefully implemented for the algorithms.
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univariate polynomials
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eigenvalue
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root
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numerical examples
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iterative algorithm
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companion matrix
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