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Perturbation analysis of second order programming problems

J. Frédéric Bonnans (frederic.bonnans***at***inria.fr)
Hector Ramirez C. (hramirez***at***dim.uchile.cl)

Abstract: We discuss first and second order optimality conditions for nonlinear second-order cone programming problems, and their relation with semidefinite programming problems. For doing this we extend in an abstract setting the notion of optimal partition. Then we state a characterization of strong regularity in terms of second order optimality conditions.

Keywords: Nonlinear optimization, constraint qualification, reduction, strong regularity, optimality conditions

Category 1: Linear, Cone and Semidefinite Programming

Category 2: Linear, Cone and Semidefinite Programming (Second-Order Cone Programming )

Citation: Research Report 5293 (August 2004), INRIA Rocquencourt, France.

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Entry Submitted: 09/09/2004
Entry Accepted: 09/09/2004
Entry Last Modified: 11/24/2004

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