An improvement of the Jarratt method

被引：44

作者：

Kou, Jisheng ^{[1
]}

Li, Yitian

机构：

[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

[2] Wuhan Univ, State Key Lab Water Resources & Hydropower Engn S, Wuhan 430072, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2007年 / 189卷 / 02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;

D O I：

10.1016/j.amc.2006.12.062

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. The new multistep iteration scheme, based on the new method, is developed and numerical tests verifying the theory are also given. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：1816 / 1821

页数：6

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