The Local Convergence Analysis of Inexact Quasi-Gauss-Newton Method Under the Holder Condition

被引：0
|
作者：
Zhang, Y. [1 ]
Sun, H. [2 ]
Zhu, D. T. [2 ]
机构：
[1] Changzhou Univ, Sch Math & Phys, Changzhou 213164, Peoples R China
[2] Shanghai Normal Univ, Math & Sci Coll, Shanghai 200234, Peoples R China
来源：
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2016年 / 168卷 / 03期
基金：
美国国家科学基金会;
关键词：
Quasi-Gauss-Newton method; Holder condition; Nonlinear function; COMPLEMENTARITY-PROBLEMS; NONLINEAR PROBLEMS; EQUATIONS; SEMISMOOTH; SYSTEMS;
D O I：
10.1007/s10957-015-0821-x
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
In this article, we introduce the local convergence of the inexact quasi-Gauss-Newton method when the first Fr,chet derivative of operator involved is Holder condition. Furthermore, we give some results on the existence and uniqueness of the solution for a nonlinear function. Based on this study, the R-order of convergence is proved.
引用
收藏
页码：958 / 970
页数：13
相关论文
共 50 条
12345