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Convergence conditions of some methods for the simultaneous computation of polynomial zeros

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Abstract.

The convergence of Newton's, Aberth's and Durand–Kerner's methods for polynomial root finding is analyzed; for each of them convergence theorems and error estimates are provided.

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Authors and Affiliations

  1. Scuola Normale Superiore, P.za dei Cavalieri 7, 56100 Pisa, Italy¶e-mail: tilli@cibs.sns.it, , , , , , IT

    Paolo Tilli

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  1. Paolo Tilli
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Received: December 1995 / Revised version: May 1996

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Tilli, P. Convergence conditions of some methods for the simultaneous computation of polynomial zeros. CALCOLO 35, 3–15 (1998). https://doi.org/10.1007/s100920050005

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  • DOI: https://doi.org/10.1007/s100920050005

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