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
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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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