INEXACT NEWTON'S METHOD FOR GENERALIZED OPERATOR EQUATIONS IN BANACH SPACES

被引：0

作者：

Singh, Vipin Kumar ^{[1
]}

机构：

[1] Govt Polytech Korea, Dept Sci & Humanities, Chhattishgarh 497335, India

来源：

JOURNAL OF APPLIED MATHEMATICS AND COMPUTATIONAL MECHANICS | 2018年 / 17卷 / 04期

关键词：

nonlinear operator equation; Frechet derivative; Newton's method; inexact Newton method;

D O I：

10.17512/jamcm.2018.4.09

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present paper, we introduce a new inexact Newton-like algorithm for solving the generalized operator equations containing non differentiable operators in Banach space setting and discuss its semilocal convergence analysis under the weak Lipschitz condition with larger convergence domain and tighter error bounds. The main result of this paper is the significant improvement over the Newton's method as well as the inexact Newton method.

引用

页码：85 / 97

页数：13

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