On a generalization of the Euler-Chebyshev method for simultaneous extraction of only a part of all roots of polynomials (Q2493488)
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| Language | Label | Description | Also known as |
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| English | On a generalization of the Euler-Chebyshev method for simultaneous extraction of only a part of all roots of polynomials |
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On a generalization of the Euler-Chebyshev method for simultaneous extraction of only a part of all roots of polynomials (English)
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19 June 2006
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The authors generalize the Euler-Chebyshev method for the case when only a part of the roots of a polynomial is sought for. Local cubic convergence is proved for the case of sufficiently separated roots. Numerical experiments are given.
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total-step method
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single-step procedure
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zeros of polynomials
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local convergence
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Euler-Chebyshev method
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cubic convergence
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numerical experiments
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