46n10

A splitting minimization method on geodesic spaces

  • João Xavier da Cruz Neto
  • Barnabé Lima
  • Pedro A. Soares Jr.
    • Categories Convex and Nonsmooth Optimization, Convex Optimization, Other Topics Tags ,

    We present in this paper the alternating minimization method on CAT(0) spaces for solving unconstraints convex optimization problems. Under the assumption that the function being minimize is convex, we prove that the sequence generated by our algorithm converges to a minimize point. The results presented in this paper are the first ones of this type … Read more