Penalty Functions Derived From Monotone Mappings

Bayram I.

IEEE SIGNAL PROCESSING LETTERS, cilt.22, sa.3, ss.265-269, 2015 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 22 Konu: 3
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1109/lsp.2014.2357681
  • Dergi Adı: IEEE SIGNAL PROCESSING LETTERS
  • Sayfa Sayıları: ss.265-269

Özet

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.