A complex symmetric matrix constraint

1

Hi, guys. I was wondering if I can constrain a matrix to be complex symmetric after I solve an optimization problem?

Currently, I have tried

variable V(n,n) complex symmetric

and

variable V(n,n) complex semidefinite

V==V.’

and neither of them can yield a complex symmetric matrix. Many thanks in advance.

2

Do you want symmetric as opposed to hermitian? If you want hermitian, use
variable V(n,n) hermitian

I believe

variable V(n,n) complex
transpose(V) == V

should constrain V to be symmetric, i.e., its non-conjugate transpose equals itself. This is much less commonly used than conjugate transpose '