self–duality

The automorphism group and the non-self-duality of p-cones

  • Masaru Ito
  • Bruno F. Lourenço
    • Categories Convex and Nonsmooth Optimization, Linear, Cone and Semidefinite Programming Tags , ,

    In this paper, we determine the automorphism group of the p-cones (p\neq 2) in dimension greater than two. In particular, we show that the automorphism group of those p-cones are the positive scalar multiples of the generalized permutation matrices that fix the main axis of the cone. Next, we take a look at a problem … Read more

    USING SEDUMI 1.02, A MATLAB TOOLBOX FOR OPTIMIZATION OVER SYMMETRIC CONES (Updated for Version 1.05)

  • Jos F. Sturm
    • Categories Linear, Cone and Semidefinite Programming, Optimization Software and Modeling Systems Tags , , , , ,

    SeDuMi 1.05 is an add-on for MATLAB, which lets you solve optimization problems with linear, quadratic and semidefiniteness constraints. It is possible to have complex valued data and variables in SeDuMi. Moreover, large scale optimization problems are solved efficiently, by exploiting sparsity. This paper describes how to work with this toolbox. CitationOptimization Methods and Software … Read more