• Speaker: Jefferson Melo, Universidade Federal Goiais
  • Title: Strong Convergence in Hilbert spaces via Gamma-duality
  • Location: Room V205, Mathematics Building (Callaghan Campus) The University of Newcastle
  • Access Grid Venue: UniSA
  • Time and Date: 3:30 pm, Thu, 26th Apr 2012
  • Abstract:

    In this talk, we consider a general convex feasibility problem in Hilbert space, and analyze a primal-dual pair of problems generated via a duality theory introduced by Svaiter. We present some algorithms and their convergence properties. The focus is a general primal-dual principle for strong convergence of some classes of algorithms. In particular, we give a different viewpoint for the weak-to-strong principle of Bauschke and Combettes. We also discuss how subgradient and proximal type methods fit in this primal-dual setting.

    Joint work with Maicon Marques Alves (Universidade Federal de Santa Catarina-Brazil)

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