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.
Research Report 5293 (August 2004), INRIA Rocquencourt, France.
View Perturbation analysis of second order programming problems