How to solve minimize sum_k 1norm(x-x_k)^2 * norm(y-y_k)^2, where x,y,x_k,y_k are vectors with the same length, can we use CVX to solve this problem, thank you

Nonconvex
Dec 5, 2024
K

How to solve minimize sum_k 1norm(x-x_k)^2 * norm(y-y_k)^2, where x,y,x_k,y_k are vectors with the same length, can we use CVX to solve this problem, thank you

M

You didn’t say, but I’ll presume x and y are the optimization variables.

That doesn’t look convex to me. So no.

K
Replying to #2

Thanks for your reply. Yes, x and y are variables.