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The simultaneous determination of all zeros of a polynomial

Die gleichzeitige Bestimmung aller Nullstellen eines Polynoms

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Abstract

A class of adaptive iterative methods of higher order for the simultaneous determination of all zeros of a polynomial is constructed. These methods preserve their order of convergence also in the case of multiple roots. Numerical examples are included.

Zusammenfassung

Es wird eine Klasse adaptiver Iterationsverfahren höherer Ordnung zur Berechnung aller Nullstellen eines Polynoms konstruiert. Diese Verfahren erhalten die Ordnung der Konvergenz auch im Fall mehrfacher Nullstellen. Numerische Beispiele werden angegeben.

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Authors and Affiliations

  1. Institute of Mathematics, Silesian Technical University, Zwyciestwa 42, PL-44101, Gliwice, Poland

    J. Czopik

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  1. J. Czopik
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Czopik, J. The simultaneous determination of all zeros of a polynomial. Computing 45, 79–91 (1990). https://doi.org/10.1007/BF02250586

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  • DOI: https://doi.org/10.1007/BF02250586

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