circular cone

On the symmetry of induced norm cones

  • Michael Orlitzky
    • Categories Linear, Cone and Semidefinite Programming Tags , , , , ,

    Several authors have studied the problem of making an asymmetric cone symmetric through a change of inner product, and one set of positive results pertains to the class of elliptic cones. We demonstrate that the class of elliptic cones is equal to the class of induced-norm cones that arise through Jordan-isomorphism with the second-order cone, … Read more

    Variational Analysis of Circular Cone Programs

  • Jein-Shan Chen
  • Boris S. Mordukhovich
  • Jinchuan Zhou
    • Categories Linear, Cone and Semidefinite Programming, Nonsmooth Optimization Tags , , , , , , ,

    This paper conducts variational analysis of circular programs, which form a new class of optimization problems in nonsymmetric conic programming important for optimization theory and its applications. First we derive explicit formulas in terms of the initial problem data to calculate various generalized derivatives/coderivatives of the projection operator associated with the circular cone. Then we … Read more