How to express ||v||^3 in cvx?

1

hown to express ||v||^3 in cvx?

2

help pow_pos

pow_pos Power of positive part.
pow_pos(X,P) = POS(X).^P = MAX(X,0).^P.
Both P and X must be real, and P must be greater than or equal to 1.

Disciplined convex programming information:
    pow_pos(X,P) is convex and nondecreasing in X; so when used in CVX
    expressions, X must be convex. P must be constant, real, and
    greater than or equal to 1.
3

Accoeding to your suggestion, the answer is pow_pos(norm(v),3)?

4

Yes. Presuming of course that v is affine.