if my convex optimization variable is a matrix X,Y can one of the constraints be trace(x^2)>trace(y^2) and can there be another constraint bounding the determinant of the matrix X, smth like det(X)<=5.
I was curious if these operations were convex and implementable?
The user’s guide has a complete list. And it’s not just a matter of limiting yourself to the accepted function list; you must combine those functions according to the rules, again given in the user’s guide. I suspect, however, that your model is not compatible with CVX, given the examples here.