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math.OC2024
Finite Convergence of Circumcentered-Reflection Method on Closed Polyhedral Cones in Euclidean Spaces
Hongzhi Liao
The Circumcentered Reflection Method (CRM) is a recently developed projection method for solving convex feasibility problems. It offers preferable convergence properties compared t…
math.OC2023
Douglas--Rachford is the best projection method
Minh N. Dao, Mareike Dressler, Hongzhi Liao +1
We prove that the Douglas--Rachford method applied to two closed convex cones in the Euclidean plane converges in finitely many steps if and only if the set of fixed points of the…