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On a generalization of the Euler-Chebyshev method for simultaneous extraction of only a part of all roots of polynomials

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Abstract

We propose a method with raised speed of convergence for simultaneous extraction of a part of all roots of polynomials. The method is efficient for the polynomials which have well separated real roots. The proof of local convergence is shown and numerical results are given.

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Correspondence to Anton Iliev.

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Iliev, A., Kyurkchiev, N. & Fang, Q. On a generalization of the Euler-Chebyshev method for simultaneous extraction of only a part of all roots of polynomials. Japan J. Indust. Appl. Math. 23, 63 (2006). https://doi.org/10.1007/BF03167498

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  • DOI: https://doi.org/10.1007/BF03167498

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