Multidimensional generalization of iterative methods for solving nonlinear problems by means of weight-function procedure

被引：22

作者：

Artidiello, Santiago ^{[1
]}

Cordero, Alicia ^{[2
]}

Torregrosa, Juan R. ^{[2
]}

Vassileva, Maria P. ^{[1
]}

机构：

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

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

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2015年 / 268卷

关键词：

Nonlinear system; Optimal order; Weight function procedure; Divided difference operator; Efficiency index; 4TH-ORDER METHODS; SYSTEMS; FAMILY; ORDER;

D O I：

10.1016/j.amc.2015.07.024

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, from Traub's method and by applying weight function technique, a bi-parametric family of predictor-corrector iterative schemes with optimal fourth-order of convergence, for solving nonlinear equations, is presented. By using some algebraic manipulations and a divided difference operator, we extend this family to the multidimensional case, preserving its order of convergence. Some numerical test are made in order to confirm the theoretical results and to compare the new methods with other known ones. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：1064 / 1071

页数：8