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Convergence analysis on a class of conjugate gradient methods without sufficient decrease condition
Liu, GH; Han, JY; Qi, HD; Xu, HL
1998
Source PublicationACTA MATHEMATICA SCIENTIA
ISSN0252-9602
Volume18Issue:1Pages:11-16
AbstractRecently, Gilbert and Nocedal([3]) investigated global convergence of conjugate gradient methods related to Polak-Ribiere formular, they restricted beta(k) to non-negative value. [5] discussed the same problem as that in [3] and relaxed beta(k) to be negative with the objective function being convex. This paper allows beta(k) to be selected in a wider range than [5]. Especially, the global convergence of the corresponding algorithm without sufficient decrease condition is proved.
KeywordPolak-Ribiere conjugate gradient method strong Wolfe line search global convergence
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000080165100002
PublisherBALTZER SCI PUBL BV
Citation statistics
Cited Times:3[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/13701
Collection中国科学院数学与系统科学研究院
Affiliation1.Acad Sinica, Inst Appl Math, Beijing 100080, Peoples R China
2.Comm Natl Nat Sci Fdn China, Beijing 100045, Peoples R China
Recommended Citation
GB/T 7714
Liu, GH,Han, JY,Qi, HD,et al. Convergence analysis on a class of conjugate gradient methods without sufficient decrease condition[J]. ACTA MATHEMATICA SCIENTIA,1998,18(1):11-16.
APA Liu, GH,Han, JY,Qi, HD,&Xu, HL.(1998).Convergence analysis on a class of conjugate gradient methods without sufficient decrease condition.ACTA MATHEMATICA SCIENTIA,18(1),11-16.
MLA Liu, GH,et al."Convergence analysis on a class of conjugate gradient methods without sufficient decrease condition".ACTA MATHEMATICA SCIENTIA 18.1(1998):11-16.
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