2 citations · 5 across the 22 of their papers we have counts for
5 papers · 1 filter
Solution Refinement at Regular Points of Conic Problems
E. Busseti, W. Moursi, S. Boyd
Most numerical methods for conic problems use the homogenous primal-dual embedding, which yields a primal-dual solution or a certificate establishing primal or dual infeasibility.…
On the minimal displacement vector of compositions and convex combinations of nonexpansive mappings
Heinz H. Bauschke, Walaa M. Moursi
Monotone operators and (firmly) nonexpansive mappings are fundamental objects in modern analysis and computational optimization. Five years ago, it was shown that if finitely many…
A note on the equivalence of operator splitting methods
Walaa M. Moursi, Yuriy Zinchenko
This paper provides a comprehensive discussion of the equivalences between splitting methods. These equivalences have been studied over the past few decades and, in fact, have prov…
On the asymptotic behaviour of the Aragon Artacho-Campoy algorithm
Salihah Alwadani, Heinz H. Bauschke, Walaa M. Moursi +1
Aragón Artacho and Campoy recently proposed a new method for computing the projection onto the intersection of two closed convex sets in Hilbert space; moreover, they proposed in 2…
Intriguing maximally monotone operators derived from nonsunny nonexpansive retractions
Heinz H. Bauschke, Levi Miller, Walaa M. Moursi
Monotone operator theory and fixed point theory for nonexpansive mappings are central areas in modern nonlinear analysis and optimization. Although these areas are fairly well deve…