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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

查看基金资助信息   




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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0 in Web of Science Core Collection

0 in BIOSIS Citation Index

0 in Chinese Science Citation Database

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