Note on improvements of order and efficiency in some iterative methods for solving nonlinear equations

被引：3

作者：

Grau-Sanchez, Miguel ^{[1
]}

Diaz-Barrero, Jose L. ^{[1
]}

机构：

[1] Tech Univ Catalonia, Dept Appl Math 2 & 3, Barcelona 08034, Spain

来源：

APPLIED MATHEMATICS LETTERS | 2014年 / 33卷

关键词：

Nonlinear equations; Iterative methods; Order of convergence; Efficiency index; Traub's result; CONVERGENCE; FAMILY;

D O I：

10.1016/j.aml.2014.02.016

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A generalization of two modified iterative schemes for solving nonlinear equations suggested by Traub and Ezquerro et al. is presented. This new technique allows to obtain local order of convergence 2 rho + 2 from rho improving the above mentioned results where have been obtained rho+1 and 2 rho+1 from rho respectively. The efficiency is also improved. New numerical algorithms of third and fourth order are used to check the theoretical result given. They are illustrated with numerical examples. (C) 2014 Elsevier Ltd. All rights reserved.

引用

页码：18 / 22

页数：5

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