On the convergence of Halley’s method for simultaneous computation of polynomial zeros

Petko D. Proinov, Stoil I. Ivanov

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Source: Crossref

Published: Jan 1, 2015

DOI: 10.1515/jnma-2015-0026

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Source abstract

Abstract In this paper we study the convergence of Halley’s method as a method for finding all zeros of a polynomial simultaneously. We present two types of local convergence theorems as well as a semilocal convergence theorem for Halley’s method for simultaneous computation of polynomial zeros.

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