Title: Circumcentering projection type methods

Speaker: Roger Behling (Fundação Getúlio Vargas)

Date and Time: April 14th, 2021, 11:00 AEST (Register here for remote connection via Zoom)

Abstract: Enforcing successive projections, averaging the composition of reflections and barycentering projections are settled techniques for solving convex feasibility problems. These schemes are called the method of alternating projections (MAP), the Douglas-Rachfort method (DRM) and the Cimmino method (CimM), respectively. Recently, we have developed the circumcentered-reflection method (CRM), whose iterations employ generalized circumcenters that are able to accelerate the aforementioned classical approaches both theoretically and numerically. In this talk, the main results on CRM are presented and a glimpse on future work will be provided as well.