Variational Analysis of the Ky Fan k-norm

doi:10.1007/s11228-016-0378-3

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 应用数学研究所

	Variational Analysis of the Ky Fan k-norm
	Ding, Chao
刊名	SET-VALUED AND VARIATIONAL ANALYSIS
	2017-06-01
卷号	25 期号:2 页码:265-296
关键词	Ky Fan k-norm Nondegeneracy Critical cone Second order tangent sets
ISSN号	1877-0533
DOI	10.1007/s11228-016-0378-3
英文摘要	In this paper, we will study some variational properties of the Ky Fan k-norm theta = parallel to . parallel to((k)) of matrices, which are closed related to a class of basic nonlinear optimization problems involving the Ky Fan k-norm. In particular, for the basic nonlinear optimization problems, we will introduce the concept of nondegeneracy, strict complementarity and the critical cones associated with the generalized equations. Finally, we present the explicit formulas of the conjugate function of the parabolic second order directional derivative of oee integral, which will be referred to as the sigma term of the second order optimality conditions. The results obtained in this paper provide the necessary theoretical foundations for future work on sensitivity and stability analysis of the nonlinear optimization problems involving the Ky Fan k-norm.
语种	英语
出版者	SPRINGER
WOS记录号	WOS:000401354700004
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/25431]
专题	应用数学研究所
通讯作者	Ding, Chao
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Ding, Chao. Variational Analysis of the Ky Fan k-norm[J]. SET-VALUED AND VARIATIONAL ANALYSIS,2017,25(2):265-296.
APA	Ding, Chao.(2017).Variational Analysis of the Ky Fan k-norm.SET-VALUED AND VARIATIONAL ANALYSIS,25(2),265-296.
MLA	Ding, Chao."Variational Analysis of the Ky Fan k-norm".SET-VALUED AND VARIATIONAL ANALYSIS 25.2(2017):265-296.