Finite Convergence of Circumcentered-Reflection Method on Closed Convex Cones in Hilbert Spaces

Abstract

We establish finite convergence of circumcentered-reflection method (CRM) for the case of intersection of two closed convex cones in a real Hilbert space. We apply this result to prove the finite convergence for two polyhedral sets in R^n.

The main theorems of the paper (Theorem 13 and 17) are wrong. The statements are only valid in R^2