# KKT conditions

*From*: "Sangam" <syadagiri@xxxxxxxxx>*Date*: 13 May 2006 15:26:37 -0700

Consider the problem

min xy

s.t. x^2 + y^2 <=2

x + y >=0

Show that the KKT conditions are satisfied at every local minimizer.

Compute all the KKT points, and show that strict complementarity is not

satisfied at any KKT point. Use second order necessary/sufficient

conditions to determine which KKT point(s) is a local minimizer.

.

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