https://ogma.newcastle.edu.au/vital/access/ /manager/Index en-au 5 Circumcentering Reflection Methods for Nonconvex Feasibility Problems https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:49115 Tue 30 Apr 2024 09:31:00 AEST ]]> Survey: sixty years of Douglas-Rachford https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:39811 feasibility problems of the following form: Find x∈⋂ⁿₖ₌₁ Sₖ . The success of the method in the context of closed, convex, nonempty sets S₁,...,Sₙ is well known and understood from a theoretical standpoint. However, its performance in the nonconvex context is less well understood, yet it is surprisingly impressive. This was particularly compelling to Jonathan M. Borwein who, intrigued by Elser, Rankenburg and Thibault’s success in applying the method to solving sudoku puzzles, began an investigation of his own. We survey the current body of literature on the subject, and we summarize its history. We especially commemorate Professor Borwein’s celebrated contributions to the area.]]> Fri 24 Jun 2022 09:28:05 AEST ]]>