Local convergence results of Gauss-Newton's like method in weak conditions

被引：10

作者：

Chen, Jinhai ^{[1
]}

Li, Weiguo

机构：

[1] Hong Kong Polytech Univ, Dept Appl Math, Kowloon, Hong Kong, Peoples R China

[2] Univ Petr, Sch Math & Computat Sci, Dongying 257061, Shandong, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2006年 / 324卷 / 02期

关键词：

Gauss-Newton's like method; Lipschitz condition; convergence ball; uniqueness ball;

D O I：

10.1016/j.jmaa.2006.01.032

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the convergence of Gauss-Newton's like method for nonlinear least squares problems. Under the hypothesis that derivative satisfies some kind of weak Lipschitz condition, we obtain the sharp estimates of the radii of convergence ball of Gauss-Newton's like method and the uniqueness ball of the solution. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：1381 / 1394

页数：14

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