polynomial norms

Polynomial Norms

  • Amir Ali Ahmadi
  • Etienne de Klerk
  • Georgina Hall
    • Categories Convex and Nonsmooth Optimization, Nonlinear Optimization, Semi-definite Programming Tags , , ,

    In this paper, we study polynomial norms, i.e. norms that are the dth root of a degree-d homogeneous polynomial f. We first show that a necessary and sufficient condition for f^(1/d) to be a norm is for f to be strictly convex, or equivalently, convex and positive definite. Though not all norms come from dth … Read more