Spectral gradient projection method for solving nonlinear monotone equations

被引：141
|
作者：
Zhang, Li [1 ]
Zhou, Weijun [1 ]
机构：
[1] Hunan Univ, Dept Appl Math, Changsha 410082, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2006年 / 196卷 / 02期
关键词：
spectral gradient method; monotone; projection method;
D O I：
10.1016/j.cam.2005.10.002
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
An algorithm for solving nonlinear monotone equations is proposed, which combines a modified spectral gradient method and projection method. This method is shown to be globally convergent to a solution of the system if the nonlinear equations to be solved is monotone and Lipschitz continuous. An attractive property of the proposed method is that it can be applied to solving nonsmooth equations. We also give some preliminary numerical results to show the efficiency of the proposed method. (c) 2005 Elsevier B.V. All rights reserved.
引用
收藏
页码：478 / 484
页数：7
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