Some improvements of Jarratt's method with sixth-order convergence

被引：49
|
作者：
Chun, Changbum [1 ]
机构：
[1] Korea Univ Technol & Educ, Sch Liberal Arts, Cheonan 330708, Chungnam, South Korea
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2007年 / 190卷 / 02期
关键词：
Newton's method; iterative methods; nonlinear equations; order of convergence; Jarratt's method;
D O I：
10.1016/j.amc.2007.02.023
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we present a one-parameter family of variants of Jarratt's fourth-order method for solving nonlinear equations. It is shown that the order of convergence of each family member is improved from four to six even though it adds one evaluation of the function at the point iterated by Jarratt's method per iteration. Several numerical examples are given to illustrate the performance of the presented methods. (c) 2007 Elsevier Inc. All rights reserved.
引用
收藏
页码：1432 / 1437
页数：6
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