A modified Newton-type method with sixth-order convergence for solving nonlinear equations

被引：1
|
作者：
Fang, Liang [1 ]
Chen, Tao [1 ]
Tian, Li [1 ]
Sun, Li [1 ]
Chen, Bin [2 ]
机构：
[1] Taishan Univ, Coll Math & Syst Sci, Tai An 271021, Shandong, Peoples R China
[2] Taishan Expt Midlle Sch, Math Educ Res Group, Tai An 271000, Shandong, Peoples R China
来源：
CEIS 2011 | 2011年 / 15卷
关键词：
Newton-type method; Nonlinear equations; Order of convergence; Iterative method; Efficiency index;
D O I：
10.1016/j.proeng.2011.08.586
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we present and analyze a sixth-order convergent iterative method for solving nonlinear equations. The method is free from second derivatives and permits f'(x) = 0 in iteration points. Some numerical examples illustrate that the presented method is more efficient and performs better than classical Newton's method. (C) 2011 Published by Elsevier Ltd. Selection and/or peer-review under responsibility of [CEIS 2011]
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页数：5
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