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A quadratic program (QP) is an optimization problem in which the objective function is quadratic and the feasible region is a convex polytope.

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Quadratically constrained quadratic programming/optimization involving piece-wise function

I have a quadratically constrained quadratic programming/optimization problem involving kind-of piece-wise quadratic functions $f_n (x_m)=a_{n,m} (x_m-\theta_n)^2$, if $|x_m-\theta_n|<c$; $c^2a_{n.m}$ …
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