The strong second-order sufficient condition and constraint nondegeneracy in nonlinear semidefinite programming and their implications

• 成果类型: Article
• 署名作者: Sun, Defeng
• 署名单位: National University of Singapore
• 刊物名称: MATHEMATICS OF OPERATIONS RESEARCH
• ISSN/ISSBN: 0364-765X
• DOI: 10.1287/moor.1060.0195
• 发表日期: 2006
• 页码: 761-776
• 关键词: generalized equations; inequalities; REGULARITY; STABILITY; inverse; matrix

摘要

For a locally optimal solution to the nonlinear semidefinite programming problem, under Robinson's constraint qualification, the following conditions are proved to be equivalent: the strong second-order sufficient condition and constraint nondegeneracy; the nonsingularity of Clarke's Jacobian of the Karush-Kuhn-Tucker system; the strong regularity of the Karush-Kuhn-Tucker point; and others.