I have recently been learning how to use CVX to solve some simulation problems in communications, and I now have some difficulties in trying to write out this objective function. I would appreciate your help.
Here is the simulation problem and the symbol \Re indicates the real part of a complex number.
\underset{\mathbf{v}_{k}}{\operatorname{minimize}} \sum_{k=1}^{K} \left\{\operatorname{Tr}\left(\mathbf{V}_{k}^{H} \mathbf{A} \mathbf{V}_{k}\right)-2 \Re\left\{\operatorname{Tr}\left(\mathbf{B}_{k} \mathbf{V}_{k}\right)\right\}\right\}
Where \mathbf{V} is the variable I need to optimise, its subscript k represents the number of users and the matrices \mathbf{A} and \mathbf{B}_k are both known matrices.
I would be very grateful if I could get an answer from you.