KMS Of Academy of mathematics and systems sciences, CAS
| Error bounds for rank constrained optimization problems and applications | |
| Bi, Shujun1; Pan, Shaohua2 | |
| 2016-05-01 | |
| Source Publication | OPERATIONS RESEARCH LETTERS
 |
| ISSN | 0167-6377 |
| Volume | 44Issue:3Pages:336-341 |
| Abstract | 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. |
| Keyword | Rank constrained optimization Error bounds Calmness Exact penalty |
| DOI | 10.1016/j.orl.2016.03.002 |
| Language | 英语 |
| Funding Project | 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 Research Area | Operations Research & Management Science |
| WOS Subject | Operations Research & Management Science |
| WOS ID | WOS:000377730800009 |
| Publisher | ELSEVIER SCIENCE BV |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/22892 |
| Collection | 中国科学院数学与系统科学研究院 |
| Affiliation | 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 |
| Recommended Citation 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. |
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