On a generalization of the Obreshkoff--Ehrlich method for simultaneous extraction of all roots of polynomials over an arbitrary Chebyshev system. (Q1395177)
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scientific article; zbMATH DE number 1940583
| Language | Label | Description | Also known as |
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| English | On a generalization of the Obreshkoff--Ehrlich method for simultaneous extraction of all roots of polynomials over an arbitrary Chebyshev system. |
scientific article; zbMATH DE number 1940583 |
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On a generalization of the Obreshkoff--Ehrlich method for simultaneous extraction of all roots of polynomials over an arbitrary Chebyshev system. (English)
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29 June 2003
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This paper is devoted to new modifications of methods for simultaneous extraction of all roots of polynomials over an arbitrary Chebyshev system. The cubic convergence of iterations is proved. The method presented is a generalization of the classical methods of \textit{N. Obreshkoff} [ God. Sofij. Univ., Fiz.-Mat. Fak. 56, 73--83 (1963; Zbl 0158.33802)]{} and of \textit{L. W. Ehrlich} [ Commun. ACM 10, 107--108 (1967; Zbl 0148.39004)]{} for simultaneous determination of all roots of algebraic equations.
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Roots of polynomials
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simultaneous extraction
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Chebyshev system
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convergence
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