\ 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.
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页码：105 / 115
页数：11
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