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
Hits:
Indexed by:期刊论文
Date of Publication:2014-03-01
Journal:SET-VALUED AND VARIATIONAL ANALYSIS
Included Journals:SCIE、Scopus
Volume:22
Issue:1
Page Number:155-187
ISSN No.:1877-0533
Key Words:Mathematical program with semidefinite cone complementarity; constraints; B-stationary condition; Constraint qualifications; Second-order sufficient conditions
Abstract:The tangent cone of gph plays an important role in developing necessary conditions for mathematical programs with semidefinite cone complementarity constraints. We demonstrate an elegant formula for the tangent cone of gph, based on which the Bouligand stationary point is characterized explicitly. The relationships among different stationary points under certain constraint qualifications are discussed. Then we propose a second order sufficient condition which can be weakened under the strict complementarity condition. Importantly, for the sake of algorithm design, under the assumption of strict complementarity condition, we give a nonsmooth equation reformulation of the stationary point, whose smoothing system is verified to be nonsingular at the stationary point under the proposed second order sufficient condition.
