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On local solutions of the Celis-Dennis-Tapia subproblem
Chen, XD; Yuan, YX
2000-02-23
Source PublicationSIAM JOURNAL ON OPTIMIZATION
ISSN1052-6234
Volume10Issue:2Pages:359-383
AbstractWe discuss the distribution of the local solutions of the Celis-Dennis-Tapia (CDT) subproblem, which appears in some trust region algorithms for nonlinear optimization. We also give some examples to show the differences between the CDT subproblem and the single-ball-constraint subproblem. These results show that the complexity of the CDT subproblem does not depend on the complexity of the structure of the dual plane. Thus they provide the possibility to search for the global minimizer in the dual plane.
Keywordtrust region subproblem local solutions optimality conditions
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000085671900004
PublisherSIAM PUBLICATIONS
Citation statistics
Cited Times:14[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/15099
Collection中国科学院数学与系统科学研究院
AffiliationChinese Acad Sci, Inst Computat Math & Sci & Engn Comp, State Key Lab Sci & Engn Comp, Beijing 100080, Peoples R China
Recommended Citation
GB/T 7714
Chen, XD,Yuan, YX. On local solutions of the Celis-Dennis-Tapia subproblem[J]. SIAM JOURNAL ON OPTIMIZATION,2000,10(2):359-383.
APA Chen, XD,&Yuan, YX.(2000).On local solutions of the Celis-Dennis-Tapia subproblem.SIAM JOURNAL ON OPTIMIZATION,10(2),359-383.
MLA Chen, XD,et al."On local solutions of the Celis-Dennis-Tapia subproblem".SIAM JOURNAL ON OPTIMIZATION 10.2(2000):359-383.
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