A NEW CLASS OF SECANT-LIKE METHODS FOR SOLVING NONLINEAR SYSTEMS OF EQUATIONS

被引：4

作者：

Ezquerro, Jose A. ^{[1
]}

Grau, Angela ^{[2
]}

Grau-Sanchez, Miquel ^{[2
]}

Hernandez-Veron, Miguel A. ^{[1
]}

机构：

[1] Univ La Rioja, Dept Math & Computat, Logrono 26004, Spain

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

来源：

COMMUNICATIONS IN APPLIED MATHEMATICS AND COMPUTATIONAL SCIENCE | 2014年 / 9卷 / 02期

关键词：

nonlinear equations; iterative methods; divided difference; secant method; Kurchatov method; secant-like method; order of convergence; efficiency index; computational efficiency; TROESCHS PROBLEM; ORDER;

D O I：

10.2140/camcos.2014.9.201

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Applying twice an idea of Hernandez and Rubio (2002) for constructing a one-parameter family of secant-like methods, we define a two-parameter family of secant-like methods for solving nonlinear systems of equations. We analyze the efficiency of this new family and conclude that the Kurchatov method, which is one member of the family, is the most efficient. We illustrate this with Troesch's problem.

引用

页码：201 / 213

页数：13

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