Some higher-order modifications of Newton's method for solving, nonlinear equations

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:222

Article

Ham, YoonMee²  Chun, Changbum¹  Lee, Sang-Gu¹ 

[1] Sungkyunkwan Univ, Dept Math, Suwon 440746, South Korea

[2] Kyonggi Univ, Dept Math, Suwon 443760, South Korea

关键词: Newton's method;    Modified Newton's method;    Iterative methods;    Nonlinear equations;    Order of convergence;    Root-finding;   

DOI  :  10.1016/j.cam.2007.11.018

来源: Elsevier

【 摘 要 】

In this paper we consider constructing some higher-order modifications of Newton's method for solving nonlinear equations which increase the order of convergence of existing iterative methods by one or two or three units. This construction can be applied to any iteration formula. and per iteration the resulting methods add only one additional Function evaluation to increase the order. Sonic illustrative examples are provided and several numerical results are given to show the performance of the presented methods. (c) 2008 Published by Elsevier B.V.

【 授权许可】

Free