Error bounds for rank constrained optimization problems and applications
文献类型：期刊论文
| 作者 | Bi, Shujun1; Pan, Shaohua2 |
| 刊名 | OPERATIONS RESEARCH LETTERS
 |
| 出版日期 | 2016-05-01 |
| 卷号 | 44期号:3页码:336-341 |
| 关键词 | Rank constrained optimization Error bounds Calmness Exact penalty |
| ISSN号 | 0167-6377 |
| DOI | 10.1016/j.orl.2016.03.002 |
| 英文摘要 | For the rank constrained optimization problem whose feasible set is the intersection of the rank constraint set R = {X is an element of X vertical bar rank(X) <= kappa} and a closed convex set Omega, we establish the local (global) Lipschitzian type error bounds for estimating the distance from any X is an element of Omega (X is an element of X) to the feasible set and the solution set, under the calmness of a multifunction associated to the feasible set at the origin, which is satisfied by three classes of common rank constrained optimization problems. (C) 2016 Elsevier B.V. All rights reserved. |
| 资助项目 | National Natural Science Foundation of China[11571120] ; National Natural Science Foundation of China[11501219] ; National Natural Science Foundation of China[71301015] ; Natural Science Foundation of Guangdong Province[2015A030313214] ; Natural Science Foundation of Guangdong Province[2015A030310298] |
| WOS研究方向 | Operations Research & Management Science |
| 语种 | 英语 |
| WOS记录号 | WOS:000377730800009 |
| 出版者 | ELSEVIER SCIENCE BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/22891]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Pan, Shaohua |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, State Key Lab Sci & Engn Comp, Inst Computat Math & Sci Engn Comp, Beijing, Peoples R China 2.S China Univ Technol, Dept Math, Guangzhou 510641, Guangdong, Peoples R China |
| 推荐引用方式 GB/T 7714 | Bi, Shujun,Pan, Shaohua. Error bounds for rank constrained optimization problems and applications[J]. OPERATIONS RESEARCH LETTERS,2016,44(3):336-341. |
| APA | Bi, Shujun,&Pan, Shaohua.(2016).Error bounds for rank constrained optimization problems and applications.OPERATIONS RESEARCH LETTERS,44(3),336-341. |
| MLA | Bi, Shujun,et al."Error bounds for rank constrained optimization problems and applications".OPERATIONS RESEARCH LETTERS 44.3(2016):336-341. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。