南方科技大学知识苑(SUSTech KC): SECOND-ORDER OPTIMALITY CONDITIONS FOR GENERAL NONCONVEX OPTIMIZATION PROBLEMS AND VARIATIONAL ANALYSIS OF DISJUNCTIVE SYSTEMS

题名	SECOND-ORDER OPTIMALITY CONDITIONS FOR GENERAL NONCONVEX OPTIMIZATION PROBLEMS AND VARIATIONAL ANALYSIS OF DISJUNCTIVE SYSTEMS
作者	Benko, Matúš 1; Gfrerer, Helmut 2; Ye, Jane J.3; Zhang, Jin4 ; Zhou, Jinchuan 5
发表日期	2023
DOI	10.1137/22M1484742
发表期刊	SIAM Journal on Optimization 影响因子和分区
ISSN	1052-6234
EISSN	1095-7189
卷号	33 期号:4页码:2625-2653
摘要	In this paper, we propose second-order sufficient optimality conditions for a very general nonconvex constrained optimization problem, which covers many prominent mathematical programs. Unlike the existing results in the literature, our conditions prove to be sufficient, for an essential local minimizer of second order, under merely basic smoothness and closedness assumptions on the data defining the problem. In the second part, we propose a comprehensive first- and second-order variational analysis of disjunctive systems and demonstrate how the second-order objects appearing in the optimality conditions can be effectively computed in this case. © 2023 Society for Industrial and Applied Mathematics Publications. All rights reserved.
关键词	second-order variational analysis second-order optimality conditions essential local minimizer of second order second subderivative second-order tangent sets lower generalized support function disjunctive system
相关链接	[来源记录]
收录类别	EI ; SCI
语种	英语
学校署名	其他
资助项目	\ast Received by the editors March 16, 2022; accepted for publication (in revised form) June 30, 2023; published electronically October 12, 2023. https://doi.org/10.1137/22M1484742 Funding: The first author's research was supported by the Austrian Science Fund (FWF) under grant P32832-N. The research of the third author was partially supported by NSERC. The fourth author's work was supported by the National Natural Science Foundation of China (12222106) and the Guangdong Basic and Applied Basic Research Foundation (2022B1515020082). The fifth author's work was supported by National Natural Science Foundation of China (12371305), the Young Innovation Teams of Shandong Province (2019KJI013), and the Shandong Province Natural Science Foundation (ZR2023MA020, ZR2021MA066).
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:001162374600006
出版者	Society for Industrial and Applied Mathematics Publications
EI入藏号	20234515021625
EI分类号	Systems Science:961
ESI学科分类	MATHEMATICS
来源库	EV Compendex
引用统计	被引频次[WOS]：2
成果类型	期刊论文
条目标识符	http://sustech.caswiz.com/handle/2SGJ60CL/673882
专题	理学院_数学系理学院_深圳国家应用数学中心
作者单位	1.Applied Mathematics and Optimization, University of Vienna, Vienna; 1090, Austria 2.Institute of Computational Mathematics, Johannes Kepler University Linz, Linz; 4040, Austria 3.Department of Mathematics and Statistics, University of Victoria, Victoria; BC; V8W 2Y2, Canada 4.Department of Mathematics, Southern University of Science and Technology, National Center for Applied Mathematics Shenzhen, Peng Cheng Laboratory, Shenzhen; 518055, China 5.Department of Statistics, School of Mathematics and Statistics, Shandong University of Technology, Zibo; 255049, China
推荐引用方式 GB/T 7714	Benko, Matúš,Gfrerer, Helmut,Ye, Jane J.,et al. SECOND-ORDER OPTIMALITY CONDITIONS FOR GENERAL NONCONVEX OPTIMIZATION PROBLEMS AND VARIATIONAL ANALYSIS OF DISJUNCTIVE SYSTEMS[J]. SIAM Journal on Optimization,2023,33(4):2625-2653.
APA	Benko, Matúš,Gfrerer, Helmut,Ye, Jane J.,Zhang, Jin,&Zhou, Jinchuan.(2023).SECOND-ORDER OPTIMALITY CONDITIONS FOR GENERAL NONCONVEX OPTIMIZATION PROBLEMS AND VARIATIONAL ANALYSIS OF DISJUNCTIVE SYSTEMS.SIAM Journal on Optimization,33(4),2625-2653.
MLA	Benko, Matúš,et al."SECOND-ORDER OPTIMALITY CONDITIONS FOR GENERAL NONCONVEX OPTIMIZATION PROBLEMS AND VARIATIONAL ANALYSIS OF DISJUNCTIVE SYSTEMS".SIAM Journal on Optimization 33.4(2023):2625-2653.