I am trying to insert function f=1/(xy) as my constraint in a optimization problem, where (x>0) and (y>0) are optimization variables. The hessian can be written as g=3/(x^4*y^4)>0 which is a convex function. How can i write it in the cvx properly?
Thank you so much for your prompt reply.
My constraint is 1/(x*y)>=Constant, so i think rotated_lorentz can not be used. Hence, I decided to apply first-order Taylor expansion for LHS of this constraint.