3 papers
math.OC2018
Survey: Sixty Years of Douglas--Rachford
Scott B. Lindstrom, Brailey Sims
The Douglas--Rachford method is a splitting method frequently employed for finding zeroes of sums of maximally monotone operators. When the operators in question are normal cones o…
math.NA2017
Application of projection algorithms to differential equations: boundary value problems
Bishnu P. Lamichhane, Scott B. Lindstrom, Brailey Sims
The Douglas-Rachford method has been employed successfully to solve many kinds of non-convex feasibility problems. In particular, recent research has shown surprising stability for…
math.FA2016
Dynamics of the Douglas-Rachford Method for Ellipses and p-Spheres
Jonathan M. Borwein, Scott B. Lindstrom, Brailey Sims +2
We expand upon previous work that examined behavior of the iterated Douglas-Rachford method for a line and a circle by considering two generalizations: that of a line and an ellips…