A variant of Jarratt method with sixth-order convergence

被引：26
|
作者：
Wang, Xiuhua [2 ]
Kou, Jisheng [1 ,3 ]
Li, Yitian [3 ]
机构：
[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
[2] Xiaogan Univ, Dept Math, Xiaogan 432100, Hubei, Peoples R China
[3] Wuhan Univ, State Key Lab Water Resources & Hydropower Engn S, Wuhan 430072, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2008年 / 204卷 / 01期
关键词：
Jarratt method; Newton method; non-linear equations; root-finding; iterative method;
D O I：
10.1016/j.amc.2008.05.112
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we present a variant of Jarratt method for solving non-linear equations. Per iteration the new method adds the evaluation of the function at another point in the procedure iterated by Jarratt method. As a consequence, the local order of convergence is improved from four for Jarratt method to six for the new method. A new multistep iteration scheme, based on the new method, is developed and numerical tests verifying the theory are also given. (C) 2008 Elsevier Inc. All rights reserved.
引用
收藏
页码：14 / 19
页数：6
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