The model provided by this paper:paper is said to be a convex SDP problem which can be stated as follow:

where the variable v_k is l*d matrix and tau is a scalar,however in this case,log_det(H* v_k*v_k’ *H)and chol()can not be accepted by cvx ,and i try log_det(norm(v_k,2)) instead but it returns the following error:’'Disciplined convex programming error: Invalid computation: geo_mean( {convex} ),So,can someone give me some idea how to make it work by the cvx ,very grateful for your help and thanks a lot.