Ostrowski type methods for solving systems of nonlinear equations

被引：86

作者：

Grau-Sanchez, Miquel ^{[1
]}

Grau, Angela ^{[1
]}

Noguera, Miquel ^{[1
]}

机构：

[1] Tech Univ Catalonia, Dept Appl Math 2, Barcelona 08034, Spain

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 218卷 / 06期

关键词：

Ostrowski's method; Iterative methods; Divided difference; Order of convergence; Computational efficiency; 3-STEP ITERATIVE METHODS; FAMILY; VARIANTS;

D O I：

10.1016/j.amc.2011.08.011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Four generalized algorithms builded up from Ostrowski's method for solving systems of nonlinear equations are written and analyzed. A development of an inverse first-order divided difference operator for functions of several variables is presented, as well as a direct computation of the local order of convergence for these variants of Ostrowski's method. Furthermore, a sequence that approximates the order of convergence is generated for the examples and it confirms in a numerical way that the order of the methods is well deduced. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：2377 / 2385

页数：9

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