Prove that the minimization problem in Eq XXXXXXXXXXis a CP problem Show that the sets {X : X ? Rn×n, X 0} and {x : x ? Rn×1, x = 0} are convex cones Given that X 0 and S 0, prove that S · X = 0 where...

Prove that the minimization problem in Eq. (14.1) is a CP problem Show that the sets {X : X ? Rn×n, X 0} and {x : x ? Rn×1, x = 0} are convex cones Given that X 0 and S 0, prove that S · X = 0 where S · X denotes the standard inner product in space Sn defined in Sec. 14.2.1