Tuesday, September 26

Invited Lecture: Theory and Numerical Practice for Optimization Problems Involving Functionals of l^p and L^p Type with  p ∈ [0,1)

Time: 16:30 - 17:30
Room: L1, Building L
Chair: Helmut Maurer, Universität Münster

Nonsmooth nonconvex optimization problems involving the lp quasi-norm, p ∈ [0, 1), are the focus of this talk. Two schemes are presented, and analysed, and their performance in practice is discussed: A monotonically convergent scheme and a primal dual active set scheme. The latter heavily relies on a non-standard formulation of the first order optimality conditions. Numerical tests include an optimal control problem, models from fracture mechanics and microscopy image reconstruction.

Karl Kunisch
Karl-Franzens-Universität Graz and RICAM