17 citations · 18 across the 3 of their papers we have counts for
4 papers
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…
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…
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…
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.