\ TWO-STEP METHOD FOR SOLVING NONLINEAR EQUATIONS WITH NONDIFFERENTIABLE OPERATOR

被引：0

作者：

Shakhno, Stepan ^{[1
]}

Yarmola, Halina ^{[1
]}

机构：

[1] Ivan Franko Natl Univ Lviv, 1 Univ Str, UA-79000 Lvov, Ukraine

来源：

JOURNAL OF NUMERICAL AND APPLIED MATHEMATICS | 2012年 / 3卷 / 109期

关键词：

Nondifferentiable operator; convergence order; local and semilocal convergence;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we propose a two-step method for solving nonlinear equations with a nondifferentiable operator. Its method is based on two methods of order of convergence 1 + root 2. We study a local and a semilocal convergence of the proposed method and set an order of convergence. We apply our results to the numerical solution of a nonlinear equation and systems of nonlinear equations.

引用

页码：105 / 115

页数：11

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