Getting Error with a [non]convex problem

Nonconvex
1

when I try to solve the following problem I get the error

cvx_begin
variable v(50)

minimize(square_pos(norm(A1-v*v.’,‘Fro’))-norm(v,2))

%minimize(sum_{i,j=1}^{50} sum_square(A1(i,j)-v(i)*v(j))-sum_square(v(i)*v(i))
cvx_end

Error using * (line 126)
Disciplined convex programming error:
Only scalar quadratic forms can be specified in CVX

Any Ideas how to solve?

Thanks

2

You claim the problem is convex. How have you concluded that?

3

A1 has diagonal zero. Forget about that CVX is unable to solve minimize(square_pos(norm(A1-v*v.’,‘Fro’)).

4

Your claim that this problem is convex is incorrect.