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 Tuesday, September 26

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

Time: 16:30 - 17:30
Room: L1, Building L
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

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