On the efficiency of two variants of Kurchatov’s method for solving nonlinear systems

被引：0
|
作者：
José Antonio Ezquerro
Angela Grau
Miquel Grau-Sánchez
Miguel Ángel Hernández
机构：
[1] University of La Rioja,Department of Mathematics and Computation
[2] Technical University of Catalonia,Department of Applied Mathematics II
来源：
Numerical Algorithms | 2013年 / 64卷
关键词：
Divided difference; -order of convergence; Nonlinear equations; Kurchatov’s method; Iterative methods; Computational efficiency; 47H99; 65H10;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We consider Kurchatov’smethod and construct two variants of this method for solving systems of nonlinear equations and deduce their local R-orders of convergence in a direct symbolic computation. We also propose a generalization to several variables of the efficiency used in the scalar case and analyse the efficiencies of the three methods when they are used to solve systems of nonlinear equations.
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收藏
页码：685 / 698
页数：13
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