Past exam of the mathematics course of the University of Cambridge / 2022 / iii / Paper 339 / 2 / c / ii / Solution

The Hessian of $-h$ is $M=A{Q}^{-1}{A}^T$. Thus $-h$ is strongly convex exactly when $A$ has full row rank. In that case one may useIn all cases, the gradient has Lipschitz constant bounded by