80 citations · 471 across the 28 of their papers we have counts for
4 papers · 2 filters
Norm Convergence of Realistic Projection and Reflection Methods
Jonathan M. Borwein, Brailey Sims, Matthew K. Tam
We provide sufficient conditions for norm convergence of various projection and reflection methods, as well as giving limiting examples regarding convergence rates.
The Cyclic Douglas-Rachford Method for Inconsistent Feasibility Problems
Jonathan M. Borwein, Matthew K. Tam
We analyse the behaviour of the newly introduced cyclic Douglas-Rachford algorithm for finding a point in the intersection of a finite number of closed convex sets. This work consi…
Douglas-Rachford Feasibility Methods for Matrix Completion Problems
Francisco J. Aragón Artacho, Jonathan M. Borwein, Matthew K. Tam
In this paper we give general recommendations for successful application of the Douglas-Rachford reflection method to convex and non-convex real matrix-completion problems. These g…
Recent Results on Douglas-Rachford Methods for Combinatorial Optimization Problems
Francisco J. Aragón Artacho, Jonathan M. Borwein, Matthew K. Tam
We discuss recent positive experiences applying convex feasibility algorithms of Douglas--Rachford type to highly combinatorial and far from convex problems.