On local solutions of the Celis-Dennis-Tapia subproblem
文献类型：期刊论文
| 作者 | Chen, XD; Yuan, YX |
| 刊名 | SIAM JOURNAL ON OPTIMIZATION
 |
| 出版日期 | 2000-02-23 |
| 卷号 | 10期号:2页码:359-383 |
| 关键词 | trust region subproblem local solutions optimality conditions |
| ISSN号 | 1052-6234 |
| 英文摘要 | We 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. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000085671900004 |
| 出版者 | SIAM PUBLICATIONS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/15098]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Chen, XD |
| 作者单位 | Chinese Acad Sci, Inst Computat Math & Sci & Engn Comp, State Key Lab Sci & Engn Comp, Beijing 100080, Peoples R China |
| 推荐引用方式 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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