axially symmetric cone

Axial symmetry indices for convex cones: axiomatic formalism and applications

  • Alberto Seeger
  • Mounir Torki
    • Categories Linear, Cone and Semidefinite Programming Tags , , ,

    We address the issue of measuring the degree of axial symmetry of a convex cone. By following an axiomatic approach, we introduce and explore the concept of axial symmetry index. This concept is illustrated with the help of several interesting examples. By way of application, we establish a conic version of the Blekherman inequality concerning … Read more

    Measuring axial symmetry in convex cones

  • Alberto Seeger
  • Mounir Torki
    • Categories Convex and Nonsmooth Optimization, Linear, Cone and Semidefinite Programming Tags , , ,

    The problem of measuring the degree of central symmetry of a convex body has been treated by various authors since the early twentieth century. This work addresses the issue of measuring the degree of axial symmetry of a convex cone. Passing from central symmetry in convex bodies to axial symmetry in convex cones is not … Read more