Some variants of Ostrowski's method with seventh-order convergence

被引：63

作者：

Kou, Jisheng ^{[1
,2
]}

Li, Yitian ^{[2
]}

Wang, Xiuhua ^{[3
]}

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

[3] Xiaogan Univ, Dept Math, Xiaogan 432100, Hubei, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2007年 / 209卷 / 02期

关键词：

non-linear equations; Ostrowski's method; root-finding; iterative method;

D O I：

10.1016/j.cam.2006.10.073

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we present a class of new variants of Ostrowski's method with order of convergence seven. Per iteration the new methods require three evaluations of the function and one evaluation of its first derivative and therefore this class of methods has the efficiency index equal to 1.627. Numerical tests verifying the theory are given, and multistep iterations, based on the present methods, are developed. (C) 2006 Published by Elsevier B.V.

引用

页码：153 / 159

页数：7

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