I know that for convex problems, the KKT point is optimal. So to show that KKT points are not always optimal, I have to consider a non-convex problem. But I can't find an example for that!
2026-03-28 01:13:37.1774660417
Example of a KKT point that is not optimal
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A very simple example: $x = 0$ is a KKT-point of $$ \text{Minimize} \quad -x^2.$$