Improved local convergence analysis of inexact Gauss-Newton like methods under the majorant condition in Banach spaces

被引：2

作者：

Argyros, Ioannis K. ^{[1
]}

Hilout, Said ^{[2
]}

机构：

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

[2] Univ Poitiers, Lab Math & Applicat, F-86962 Futuroscope, France

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2013年 / 350卷 / 06期

关键词：

UNIQUENESS;

D O I：

10.1016/j.jfranklin.2013.04.008

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We present a local convergence analysis of inexact Gauss Newton like methods for solving nonlinear equations in a Banach space setting. Using more precise majorant conditions than in earlier studies, we provide a larger radius of convergence; tighter error estimates on the distances involved and a clearer relationship between the majorant function and the associated least squares problem. Moreover, these advantages are obtained under the same computational cost. (C) 2013 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：1531 / 1544

页数：14

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