The Strong Second-Order Sufficient Condition and Constraint Nondegeneracy in Nonlinear Semidefinite Programming and Their Implications

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 Jacob...

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Vydané v:	Mathematics of operations research Ročník 31; číslo 4; s. 761 - 776
Hlavný autor:	Sun, Defeng
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Linthicum INFORMS 01.11.2006 Institute for Operations Research and the Management Sciences
Predmet:	Analysis constraint nondegeneracy Equations Jacobians Mathematical complements Mathematical functions Mathematical inequalities Mathematical theorems Matrices Nonlinear programming nonlinear semidefinite programming Optimal solutions Optimization techniques Semidefinite programming strong regularity strong second-order sufficient condition Studies Sufficient conditions Singapore
ISSN:	0364-765X, 1526-5471
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