文章基本信息

标题：General Family of Third Order Methods for Multiple Roots of Nonlinear Equations and Basin Attractors for Various Methods
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作者：Rajni Sharma ; Ashu Bahl
期刊名称：Advances in Numerical Analysis
印刷版ISSN：1687-9562
电子版ISSN：1687-9570
出版年度：2014
卷号：2014
DOI：10.1155/2014/963878
出版社：Hindawi Publishing Corporation
摘要：A general scheme of third order convergence is described for finding multiple roots of nonlinear equations. The proposed scheme requires one evaluation of , and each per iteration and contains several known one-point third order methods for finding multiple roots, as particular cases. Numerical examples are included to confirm the theoretical results and demonstrate convergence behavior of the proposed methods. In the end, we provide the basins of attraction for some methods to observe their dynamics in the complex plane.