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【答案】应助回帖
★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★
感谢参与，应助指数 +1
xinren08: 金币+20, ★★★★★最佳答案, 谢谢了。看来是被检索了。非常感谢！ 2014-07-10 16:00:31
sunshan4379: 检索EPI+1, 感谢应助！ 2014-07-10 16:44:08
A Globally Convergent Matrix-Free Method for Constrained Equations and Its Linear Convergence Rate
作者:Sun, M (Sun, Min)[ 1 ] ; Liu, J (Liu, Jing)[ 2 ]
ABSTRACT AND APPLIED ANALYSIS
文献号: 386030
DOI: 10.1155/2014/386030
出版年: 2014
查看期刊信息
摘要
A matrix-free method for constrained equations is proposed, which is a combination of the well-known PRP (Polak-Ribiere-Polyak) conjugate gradient method and the famous hyperplane projection method. The new method is not only derivative-free, but also completely matrix-free, and consequently, it can be applied to solve large-scale constrained equations. We obtain global convergence of the new method without any differentiability requirement on the constrained equations. Compared with the existing gradient methods for solving such problem, the new method possesses linear convergence rate under standard conditions, and a relax factor.. is attached in the update step to accelerate convergence. Preliminary numerical results show that it is promising in practice.
关键词
KeyWords Plus:NONLINEAR MONOTONE EQUATIONS; GRADIENT PROJECTION METHOD; CONVEX CONSTRAINTS; SYSTEMS; ALGORITHM
作者信息
通讯作者地址: Sun, M (通讯作者)
Zaozhuang Univ, Sch Math & Stat, Zaozhuang City 277160, Shandong, Peoples R China.
地址:
[ 1 ] Zaozhuang Univ, Sch Math & Stat, Zaozhuang City 277160, Shandong, Peoples R China
[ 2 ] Zhejiang Univ Finance & Econ, Sch Math & Stat, Hangzhou 310018, Zhejiang, Peoples R China
电子邮件地址:ziyouxiaodou@163.com
基金资助致谢
基金资助机构
授权号
Nature Science Foundation of Shandong Province
ZR2012AL08
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出版商
HINDAWI PUBLISHING CORPORATION, 410 PARK AVENUE, 15TH FLOOR, #287 PMB, NEW YORK, NY 10022 USA
类别 / 分类
研究方向:Mathematics
Web of Science 类别:Mathematics, Applied; Mathematics
文献信息
文献类型:Article
语种:English
入藏号: WOS:000336580700001
ISSN: 1085-3375
电子 ISSN: 1687-0409
期刊信息
Impact Factor (影响因子): Journal Citation Reports®
其他信息
IDS 号: AI0ZZ
Web of Science 核心合集中的 "引用的参考文献": 15
Web of Science 核心合集中的 "被引频次": 0
引文网络
0 被引频次
15 引用的参考文献
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