Penalty Functions Derived From Monotone Mappings

Bayram I.

IEEE SIGNAL PROCESSING LETTERS, vol.22, no.3, pp.265-269, 2015 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 22 Issue: 3
  • Publication Date: 2015
  • Doi Number: 10.1109/lsp.2014.2357681
  • Title of Journal : IEEE SIGNAL PROCESSING LETTERS
  • Page Numbers: pp.265-269

Abstract

We consider the problem of constructing a penalty function associated with a given monotone function. We provide a construction that allows the monotone function to be discontinuous or bounded. We show that, although the penalty may be nonconvex, it is weakly convex. We briefly discuss the implications for iterative solutions of linear inverse problems.