How do I constraint a matrix to a symmetric matrix?

1

Hi, professor:
I defined a matrix variable as follows:
variable Y(nx*N,6)
where nx=6, N=10. I want to constraint the block matrix of Y to a symmetric matrix, i,e,
Y(nx(k-1)+1:nx*k,1:6), k=1,…,N, is a symmetric matrix. How do I express it in CVX?
Besides, the keyword semidefinite in CVX means positive semidefinite?
Thank you very much.

2

Try

variable Y(6,6,N);
...
Y==permute(Y,[2 1 3]);

and yes, semidifinite in CVX means positive semidefinete.

3

Thanks for your reply.I doubt that the block matrix of Y is symmetric after this operation.
Besides, another question, is the following expression legal in CVX?
variable P(6,6,N) semidefinite

4

P(6,6,N) senidefinite is allowed in CVX and makes each 6 by 6 slice of the 6 by 6 by N array a symmetric positive semidefinite matrix.

5

thank you very much!!