# Inverse matrix euqation problem with restricted condition

$$\underset{\Omega}{min}~\lambda\left\|A\Omega^{-1}B+C\right\|_F^{2}+\beta tr(W\Omega^{-1}W^{T}), s.t. tr(\Omega)=1, \Omega_{i,j} \ge 0$$, How to solve this problem with $$\Omega$$?

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• This is the entire expression and it is a minimization problem. I have tried to find the solution by derivation。 – tjufan Jul 19 at 14:02