Minimization of quadratic functions on convex sets without asymptotes

The classical Frank and Wolfe theorem states that a quadratic function which is bounded below on a convex polyhedron $P$ attains its infimum on $P$. In this joint work with D. Noll and W. Sosa we investigate whether more general classes of convex sets can be identified which have this Frank-and-Wolfe property. We show that the intrinsic characterizations of Frank-and-Wolfe sets hinge on asymptotic properties of these sets.Non UBCUnreviewedAuthor affiliation: Universitat Autònoma de BarcelonaFacult