中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
On maxima of dual function of the CDT subproblem

文献类型:期刊论文

作者Chen, XD; Yuan, YX
刊名JOURNAL OF COMPUTATIONAL MATHEMATICS
出版日期2001-03-01
卷号19期号:2页码:113-124
关键词trust region subproblem global minimizer approximation
ISSN号0254-9409
英文摘要In this paper, we show the geometry meaning of the maxima of the CDT subproblem's dual function. We also studied the continuity of the global solution of the trust region subproblem. Based on an approximation model, we prove that the global solution of the CDT subproblem is given with the Hessian of Lagrangian positive semi-definite by some specially-located dual maxima and by restricting the location region of the multipliers which corresponding a global solution in other cases.
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000167634300001
出版者VSP BV
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/16785]  
专题中国科学院数学与系统科学研究院
作者单位1.Inst Software, Res Dev Ctr Parallel Software, Beijing 100080, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, State Key Lab Sci & Engn Comp, Inst Comp Math & Sci Engn Comp, Beijing 100080, Peoples R China
推荐引用方式
GB/T 7714
Chen, XD,Yuan, YX. On maxima of dual function of the CDT subproblem[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2001,19(2):113-124.
APA Chen, XD,&Yuan, YX.(2001).On maxima of dual function of the CDT subproblem.JOURNAL OF COMPUTATIONAL MATHEMATICS,19(2),113-124.
MLA Chen, XD,et al."On maxima of dual function of the CDT subproblem".JOURNAL OF COMPUTATIONAL MATHEMATICS 19.2(2001):113-124.

入库方式: OAI收割

来源:数学与系统科学研究院

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