A Globally Convergent Hybrid Conjugate Gradient Method and Its Numerical Behaviors

A Globally Convergent Hybrid Conjugate Gradient Method and Its Numerical Behaviors

We consider a hybrid Dai-Yuan conjugate gradient method. We confirm that its numerical performance can be improved provided that this method uses a practical steplength rule developed by Dong, and the associated convergence is analyzed as well.

Bibliographic Details
Main Authors: Yuan-Yuan Huang, San-Yang Liu, Xue-Wu Du, Xiao-Liang Dong
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2013/147025
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spelling doaj-74c5e38a7f2840f784ded6a9f1048d5d2020-11-24T22:29:49ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/147025147025A Globally Convergent Hybrid Conjugate Gradient Method and Its Numerical BehaviorsYuan-Yuan Huang0San-Yang Liu1Xue-Wu Du2Xiao-Liang Dong3Department of Mathematics, Xidian University, Xi’an 710071, ChinaDepartment of Mathematics, Xidian University, Xi’an 710071, ChinaCollege of Mathematics Science, Chong Qing Normal University, Chong Qing 40047, ChinaDepartment of Mathematics, Xidian University, Xi’an 710071, ChinaWe consider a hybrid Dai-Yuan conjugate gradient method. We confirm that its numerical performance can be improved provided that this method uses a practical steplength rule developed by Dong, and the associated convergence is analyzed as well.http://dx.doi.org/10.1155/2013/147025
collection DOAJ
language English
format Article
sources DOAJ
author Yuan-Yuan Huang
San-Yang Liu
Xue-Wu Du
Xiao-Liang Dong
spellingShingle Yuan-Yuan Huang
San-Yang Liu
Xue-Wu Du
Xiao-Liang Dong
A Globally Convergent Hybrid Conjugate Gradient Method and Its Numerical Behaviors
Journal of Applied Mathematics
author_facet Yuan-Yuan Huang
San-Yang Liu
Xue-Wu Du
Xiao-Liang Dong
author_sort Yuan-Yuan Huang
title A Globally Convergent Hybrid Conjugate Gradient Method and Its Numerical Behaviors
title_short A Globally Convergent Hybrid Conjugate Gradient Method and Its Numerical Behaviors
title_full A Globally Convergent Hybrid Conjugate Gradient Method and Its Numerical Behaviors
title_fullStr A Globally Convergent Hybrid Conjugate Gradient Method and Its Numerical Behaviors
title_full_unstemmed A Globally Convergent Hybrid Conjugate Gradient Method and Its Numerical Behaviors
title_sort globally convergent hybrid conjugate gradient method and its numerical behaviors
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2013-01-01
description We consider a hybrid Dai-Yuan conjugate gradient method. We confirm that its numerical performance can be improved provided that this method uses a practical steplength rule developed by Dong, and the associated convergence is analyzed as well.
url http://dx.doi.org/10.1155/2013/147025
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AT yuanyuanhuang globallyconvergenthybridconjugategradientmethodanditsnumericalbehaviors
AT sanyangliu globallyconvergenthybridconjugategradientmethodanditsnumericalbehaviors
AT xuewudu globallyconvergenthybridconjugategradientmethodanditsnumericalbehaviors
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