Balanced convergence of iterative methods to a multiple zero of a complex polynomial (Q1186910)
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scientific article; zbMATH DE number 37323
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Balanced convergence of iterative methods to a multiple zero of a complex polynomial |
scientific article; zbMATH DE number 37323 |
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Balanced convergence of iterative methods to a multiple zero of a complex polynomial (English)
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28 June 1992
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The paper discusses properties of Durand-Kerner methods for approximating multiple zeros of complex polynomials. It is shown that the Durand-Kerner mapping is contractive and for an \(m\)-fold zero of the polynomial, \(m\) components of the iteration sequences converge to the exact value in its neighborhood with same speeds.
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balanced convergence
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iterative methods
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Durand-Kerner methods
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multiple zeros of complex polynomials
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