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Nonlinear objectives, nonlinear constraints, non-convex objective, non-convex feasible region.
1
vote
How to find the necessary and sufficient conditions for a non-convex function to be locally ...
I came across this question following a link of "realted qustions", and I think it is worth adding a few comments:
1) To check that a function is locally convex you have to , in some way or another …
2
votes
Linear function on a non convex domain
Partial answer: about to the first question:
Let's make a change of variables to aid intuition: let $y_i = x_1+...+x_i, (i=1,..., n)$, then the region $D_i$ is described as $f_i(y_{i-1}) \le y_i - y_{ …