Hi,

I have a matrix of the form:   
      A=V*D*V^H, 
where V is a M times 2M complex matrix, D is a 2M times 2M diagonal real matrix, thus the dimension of A is M times M. 

My problem is how to maximize the determinant of A be choose the the digonal of D (suppose the sum of diagonals of D equals to 1)? 

Since the dimension of V is M \times 2M, I don't know how to slove this problem. Thanks.