How can I solve this problem with CVX

Hi, I tried to solve

minimize \|(a_0 - w a_1) (a_2 - w a_3)^\top\|_F or alternatively, tr\{(a_0 - w a_1) (a_2 - w a_3)^\top\}
subject to w^\top A = B

where w \in R^n is the decision variable, and others are all given.
Is the objective is non-convex? due to w w^\top?

If it is, do I have to use another tool instead of CVX?


According to the rule of the forum, it is incumbent on you to prove convexity. Why isn't CVX accepting my model? READ THIS FIRST!

ww^T is non-convex for n > 1.