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math.OC2025
Inner approximations of convex sets and intersections of projectionally exposed cones
Bruno F. Lourenço, Vera Roshchina, James Saunderson
A convex cone is said to be projectionally exposed (p-exposed) if every face arises as a projection of the original cone. It is known that, in dimension at most four, the intersect…
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…