吴佳
Professor Supervisor of Doctorate Candidates Supervisor of Master's Candidates
Gender:Female
Alma Mater:大连理工大学
Degree:Doctoral Degree
School/Department:数学科学学院
Discipline:Operation Research and Control Theory
Business Address:创新园大厦B1207
E-Mail:wujia@dlut.edu.cn
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Indexed by:期刊论文
Date of Publication:2013-12-01
Journal:MATHEMATICAL METHODS OF OPERATIONS RESEARCH
Included Journals:SCIE、EI、Scopus
Volume:78
Issue:3
Page Number:373-404
ISSN No.:1432-2994
Key Words:Spectral norm; Smoothing metric projector; Clarke's generalized Jacobian; Strong regularity
Abstract:Matrix conic optimization induced by spectral norm (MOSN) has found important applications in many fields. This paper focus on the optimality conditions and perturbation analysis of the MOSN problem. The Karush-Kuhn-Tucker (KKT) conditions of the MOSN problem can be reformulated as a nonsmooth system via the metric projector over the cone. We show in this paper, the nonsingularity of the Clarke's generalized Jacobian of the smoothing KKT system constructed by a smoothing metric projector, the strong regularity and the strong second-order sufficient condition under constraint nondegeneracy are all equivalent. Moreover, this nonsingularity is used in several globally convergent smoothing Newton methods.
