2 papers
math.AG2025
Exposed extreme rays of the SONC cone
Mareike Dressler, Hongzhi Liao, Vera Roshchina
We provide a complete and explicit characterization of the exposed extreme rays of the cone of sums of nonnegative circuit (SONC) polynomials. The criterion we derive is purely com…
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…