You are very welcome to attend the seminar below
Best wishes
Giancarlo
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_/Time/_: Tuesday 27 February, 11:00 am
_/Place/_: Sala Seminari Est, Dipartimento di Informatica
/_Speaker_/: Puya Latafat, KU Leuven
/_Title_: / Convergence of operator splitting methods for nonmonotone
inclusions
/_Abstract_/
Despite their popularity, convergence results of splitting methods have
been largely limited to the convex/monotone setting. We present
convergence results for several first-order methods, including the
proximal point method, forward-backward-forward splitting, and
Douglas-Rachford splitting, within a nonmonotone setting. To this end,
we focus on a problem class characterized by an oblique weak Minty
condition, which captures non-trivial structures as we demonstrate with
examples. Moreover, we introduce the concept of semimonotonicity and
provide sufficient conditions for the global convergence of splitting
techniques for the sum of two semimonotone operators. Illustrative
examples demonstrate the wide range of problems our theory is able to cover.