title: How to solve a matrix optimization using MATLAB cvx
body: <p><a href="https://i.stack.imgur.com/rVUd6.jpg" rel="nofollow noreferrer"><img src="https://i.stack.imgur.com/rVUd6.jpg" alt="Problem.jpg"></a></p>
  
  <p>I have an optimization problem shown in uploaded figure file.</p>
  
  <p>Determining the optimal matrix X maximizing given objective function is the problem.</p>
  
  <p>However, since the function inside the log-function is non-concave, MATLAB CVX doesn't work.</p>
  
  <p>How can I solve the problem? How should I transform the form?</p>
  
  <p>Please give me a hand</p>