On a generalization of Weierstrass-Dochev method for simultaneous extraction of all roots of polynomials over an arbitrary Chebyshev system (Q2762961)
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scientific article; zbMATH DE number 1689811
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a generalization of Weierstrass-Dochev method for simultaneous extraction of all roots of polynomials over an arbitrary Chebyshev system |
scientific article; zbMATH DE number 1689811 |
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16 January 2002
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Chebyshev system
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generalized polynomial
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Weierstrass-Dochev method
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0.9554576
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0.9487324
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0.9332472
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0.9294754
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0.89271367
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On a generalization of Weierstrass-Dochev method for simultaneous extraction of all roots of polynomials over an arbitrary Chebyshev system (English)
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In this paper generalized polynomials on the Chebyshev system are considered. Generalization of the Weierstrass-Durand-Dochev iteration formulae is proposed by the authors. It is proved that the generalized method has a quadratic order of convergence. Some numerical examples are given as well.
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