Title
First and second order analysis of nonlinear semidefinite programs
Abstract
In this paper we study nonlinear semidefinite programming problems. Convexity, duality and first-order optimality conditions for such problems are presented. A second-order analysis is also given. Second-order necessary and sufficient optimality conditions are derived. Finally, sensitivity analysis of such programs is discussed, (C) 1997 The Mathematical Programming Society, Inc. Published by Elsevier Science B.V.
Year
DOI
Venue
1997
10.1007/BF02614439
Math. Program.
Keywords
Field
DocType
tangent cone,first order,convex programming,sensitivity analysis,second order,duality,semidefinite programming
Mathematical optimization,Convexity,Nonlinear system,First order,Nonlinear programming,Duality (optimization),Semidefinite embedding,Convex optimization,Semidefinite programming,Mathematics
Journal
Volume
Issue
ISSN
77
2
0025-5610
Citations 
PageRank 
References 
73
17.86
7
Authors
1
Name
Order
Citations
PageRank
Alexander Shapiro11273147.62