On Chebyshev-Halley methods with sixth-order convergence for solving non-linear equations

被引：15
作者：
Kou, Jisheng [1 ]
机构：
[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2007年 / 190卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Chebyshev-Halley methods; Newton's method; non-linear equations; iterative method; root-finding;
D O I：
10.1016/j.amc.2007.01.011
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we present a family of new variants of Chebyshev-Halley methods. The new methods have sixth-order convergence although they only add one evaluation of the function at the point iterated by Chebyshev-Halley methods. The numerical results presented show that the new methods work better not only in order but in efficiency. (C) 2007 Elsevier Inc. All rights reserved.
引用
收藏
页码：126 / 131
页数：6
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