Hi,
I have a matrix of the form:
A=VDV^H $A=VDV^H$,
where V$V$ is a M times 2M$M \times 2M$ complex matrix, D$D$ is a 2M times 2M$2M \times 2M$ diagonal real matrix, thus the dimension of A$A$ is M times M$M \times M$.
My problem is how to maximize the determinant of A be choose the$A$ by choosing the digonal of Ddiagonal $D$ (suppose the sum of diagonals of D$D$ equals to 1$1$)?
Since the dimension of V$V$ is M \times 2M$M \times 2M$, I don't know how to slovesolve this problem. Thanks.
