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[01123] Parameterized Douglas-Rachford dynamical systems for generalized DC programming

  • Session Time & Room : 4D (Aug.24, 15:30-17:10) @D408
  • Type : Contributed Talk
  • Abstract : In this work, we consider the difference of convex functions (DC) programming problems which are the backbone of nonconvex programming and global optimization. The classical problem contains the difference between two proper convex and lower semicontinuous functions. This paper deals with the generalized DC programming problem, which deals with the minimization of three convex functions. We propose a novel parametrized Douglas Rachford dynamical system to solve the problem and study its convergence behavior in the Hilbert space. Moreover, we also conduct numerical experiments to support our theoretical findings.
  • Classification : 90C26, 90C30
  • Format : Online Talk on Zoom
  • Author(s) :
    • Avinash Dixit (Kirori Mal College, University of Delhi, Delhi)
    • Pankaj Gautam (NTNU )
    • Tanmoy Som (IIT (BHU), Varanasi)