A family of modified Ostrowski's methods with optimal eighth order of convergence

被引：26

作者：

Cordero, Alicia ^{[1
]}

Torregrosa, Juan R. ^{[1
]}

Vassileva, Maria P. ^{[2
]}

机构：

[1] Univ Politecn Valencia, Inst Matemat Multidisciplinar, Valencia 46022, Spain

[2] Inst Tecnol Santo Domingo INTEC, Santo Domingo, Dominican Rep

来源：

APPLIED MATHEMATICS LETTERS | 2011年 / 24卷 / 12期

关键词：

Nonlinear equations; Iterative methods; Convergence order; Efficiency index;

D O I：

10.1016/j.aml.2011.06.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we derive a new family of eighth-order methods for obtaining simple roots of nonlinear equations by using the weight function method. Each iteration of these methods requires three evaluations of the function and one evaluation of its first derivative, so that their efficiency indices are 1.682, which are optimal according to the Kung and Traub's conjecture (1974) [2]. Numerical comparisons are made to show the performance of the derived method, as is shown in the numerical section. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：2082 / 2086

页数：5

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