Penalty Functions Derived From Monotone Mappings

Bayram I.

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

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 22 Sayı: 3
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1109/lsp.2014.2357681
  • Dergi Adı: IEEE SIGNAL PROCESSING LETTERS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.265-269
  • İstanbul Teknik Üniversitesi Adresli: Hayır

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.