Modified Jarratt method with sixth-order convergence

被引：19
|
作者：
Wang, Xiuhua [1 ,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 LETTERS | 2009年 / 22卷 / 12期
基金：
中国国家自然科学基金;
关键词：
Jarratt method; Newton method; Non-linear equations; Root finding; Iterative method; IMPROVEMENT;
D O I：
10.1016/j.aml.2009.06.022
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 with order of convergence six for solving non-linear equations. Per iteration the method requires two evaluations of the function and two of its first derivatives. The new multistep iteration scheme. based on the new method, is developed and numerical tests verifying the theory are also given. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1798 / 1802
页数：5
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