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Original Articles

Fourth-order two-step iterative methods for determining multiple zeros of non-linear equations

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Pages 971-977 | Received 28 Sep 2005, Accepted 28 Dec 2006, Published online: 01 Aug 2007
 

Abstract

In this paper, we describe and analyse two two-step iterative methods for finding multiple zeros of non-linear equations. We prove that the methods have fourth-order convergence. The methods calculate the multiple zeros with high accuracy. These are the first two-step multiple zero finding methods. The numerical tests show their better performance in the case of algebraic as well as non-algebraic equations

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