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Tagged with integer-programming semidefinite-programming
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Maximize the determinant of Boolean combinations of positive definite matrices
I have the following optimization problem.
$$\begin{array}{ll} \text{maximize} & \det \left(\sum^n_{i=1}z_i W_i \right)\\ \text{subject to} & \sum_{i=1}^n z_i = N\\ & z_i
\in \{0,1\}\end{...