Kantorovich-type semilocal convergence analysis for inexact Newton methods

被引：0

作者：

Argyros, Ioannis K. ^{[1
]}

Ren, Hongmin ^{[2
]}

机构：

[1] Cameron Univ, Dept Math Sci, Lawton, OK 73505 USA

[2] Hangzhou Polytech, Dept Elect & Informat, Hangzhou 310012, Zhejiang, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2011年 / 235卷 / 09期

基金：

中国国家自然科学基金;

关键词：

Inexact Newton method; Banach space; Lipschitz-center condition; Semi local convergence; Majorizing sequence; Kantorovich-theorem-hypothesis; LOCAL CONVERGENCE; CRITERION; OPERATORS;

D O I：

10.1016/j.cam.2010.12.020

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We provide a new semilocal convergence analysis for generating an inexact Newton method converging to a solution of a nonlinear equation in a Banach space setting. Our analysis is based on our idea of recurrent functions. Our results are compared favorably to earlier ones by others and us (Argyros (2007, 2009) [5,6], Argyros and Hilout (2009) [7]. Guo (2007) [15], Shen and Li (2008) [18], Li and Shen (2008) [19], Shen and Li (2009) [20]). Numerical examples are provided to show that our results apply, but not earlier ones [15,18-20]. (C) 2010 Elsevier B.V. All rights reserved.

引用

页码：2993 / 3005

页数：13

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