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New conjugacy conditions and related nonlinear conjugate gradient methods
Dai, YH; Liao, LZ
2001
Source PublicationAPPLIED MATHEMATICS AND OPTIMIZATION
ISSN0095-4616
Volume43Issue:1Pages:87-101
AbstractConjugate gradient methods are a class of important methods for unconstrained optimization, especially when the dimension is large. This paper proposes a new conjugacy condition, which considers an inexact line search scheme but reduces to the old one if the line search is exact. Based on the new conjugacy condition, two nonlinear conjugate gradient methods are constructed. Convergence analysis for the two methods is provided. Our numerical results show that one of the methods is very efficient for the given test problems.
Keywordunconstrained optimization conjugate gradient line search global convergence
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000166125000005
PublisherSPRINGER-VERLAG
Citation statistics
Cited Times:187[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/16837
Collection中国科学院数学与系统科学研究院
Affiliation1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, State Key Lab Sci & Engn Comp, Beijing 100080, Peoples R China
2.Hong Kong Baptist Univ, Dept Math, Kowloon, Hong Kong, Peoples R China
Recommended Citation
GB/T 7714
Dai, YH,Liao, LZ. New conjugacy conditions and related nonlinear conjugate gradient methods[J]. APPLIED MATHEMATICS AND OPTIMIZATION,2001,43(1):87-101.
APA Dai, YH,&Liao, LZ.(2001).New conjugacy conditions and related nonlinear conjugate gradient methods.APPLIED MATHEMATICS AND OPTIMIZATION,43(1),87-101.
MLA Dai, YH,et al."New conjugacy conditions and related nonlinear conjugate gradient methods".APPLIED MATHEMATICS AND OPTIMIZATION 43.1(2001):87-101.
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