Error bounds for rank constrained optimization problems and applications

doi:10.1016/j.orl.2016.03.002

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	Error bounds for rank constrained optimization problems and applications
	Bi, Shujun 1; Pan, Shaohua 2
	2016-05-01
发表期刊	OPERATIONS RESEARCH LETTERS
ISSN	0167-6377
卷号	44 期号:3 页码:336-341
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.
关键词	Rank constrained optimization Error bounds Calmness Exact penalty
DOI	10.1016/j.orl.2016.03.002
语种	英语
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
WOS类目	Operations Research & Management Science
WOS记录号	WOS:000377730800009
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/22892
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.