CHARACTERIZATION OF THE ROBUST ISOLATED CALMNESS FOR A CLASS OF CONIC PROGRAMMING PROBLEMS

doi:10.1137/16M1058753

CSpace > 应用数学研究所

	CHARACTERIZATION OF THE ROBUST ISOLATED CALMNESS FOR A CLASS OF CONIC PROGRAMMING PROBLEMS
	Ding, Chao1 ; Sun, Defeng 2; Zhang, Liwei 3
	2017
发表期刊	SIAM JOURNAL ON OPTIMIZATION
ISSN	1052-6234
卷号	27 期号:1 页码:67-90
摘要	This paper is devoted to studying the robust isolated calmness of the Karush Kuhn Tucker (KKT) solution mapping for a large class of interesting conic programming problems (including most commonly known ones arising from applications) at a locally optimal solution. Under the Robinson constraint qualification, we show that the KKT solution mapping is robustly isolated calm if and only if both the strict Robinson constraint qualification and the second order sufficient condition hold. This implies, among others, that at a locally optimal solution the second order sufficient condition is needed for the KKT solution mapping to have the Aubin property.
关键词	stability robust isolated calmness C-2-cone reducible sets strict Robinson constraint qualification second order sufficient condition Aubin property
DOI	10.1137/16M1058753
语种	英语
资助项目	National Natural Science Foundation of China[11671387] ; National Natural Science Foundation of China[11531014] ; National Natural Science Foundation of China[91330206] ; National Natural Science Foundation of China[11571059] ; Academic Research Fund[R-146-000-207-112]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000404178500003
出版者	SIAM PUBLICATIONS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/25742
专题	应用数学研究所
通讯作者	Ding, Chao
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing, Peoples R China 2.Natl Univ Singapore, Dept Math & Risk Management Inst, 10 Lower Kent Ridge Rd, Singapore, Singapore 3.Dalian Univ Technol, Sch Math Sci, Dalian, Peoples R China
推荐引用方式 GB/T 7714	Ding, Chao,Sun, Defeng,Zhang, Liwei. CHARACTERIZATION OF THE ROBUST ISOLATED CALMNESS FOR A CLASS OF CONIC PROGRAMMING PROBLEMS[J]. SIAM JOURNAL ON OPTIMIZATION,2017,27(1):67-90.
APA	Ding, Chao,Sun, Defeng,&Zhang, Liwei.(2017).CHARACTERIZATION OF THE ROBUST ISOLATED CALMNESS FOR A CLASS OF CONIC PROGRAMMING PROBLEMS.SIAM JOURNAL ON OPTIMIZATION,27(1),67-90.
MLA	Ding, Chao,et al."CHARACTERIZATION OF THE ROBUST ISOLATED CALMNESS FOR A CLASS OF CONIC PROGRAMMING PROBLEMS".SIAM JOURNAL ON OPTIMIZATION 27.1(2017):67-90.