conic reformulations

An exponential cone representation of the general power cone

  • Henrik A. Friberg
    • Categories Linear, Cone and Semidefinite Programming, Optimization Software and Modeling Systems Tags , , ,

    Chandrasekaran and Shah (2017) used the exponential cone to model the second-order cone in demonstration of its modeling capabilities. We simplify and extend this result to general power cones. Article Download View An exponential cone representation of the general power cone

    Non-convex min-max fractional quadratic problems under quadratic constraints: copositive relaxations

  • Paula Alexandra Amaral
  • Immanuel M. Bomze
    • Categories Linear, Cone and Semidefinite Programming, Quadratic Programming Tags , , , ,

    In this paper we address a min-max problem of fractional quadratic (not necessarily convex) over linear functions on a feasible set described by linear and (not necessarily convex) quadratic functions. We propose a conic reformulation on the cone of completely positive matrices. By relaxation, a doubly non negative conic formulation is used to provide lower … Read more