Strong Convergence in Hilbert spaces via Gamma-duality

Host Institution:

University of South Australia

Title of Seminar:

Strong Convergence in Hilbert spaces via Gamma-duality

Speaker's Name:

Jefferson G. Melo

Speaker's Institution:

Universidade Federal Goiais-Brazil, joint work with Maicon Marques Alves (Universidade Federal de Santa Catarina-Brazil)

Time and Date:

Thursday 26 April 2012, 3:00pm (CST), 3:30pm (EST)

Seminar 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.

Seminar Convenor:

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AGR IT support: