48 citations · 199 across the 83 of their papers we have counts for
3 papers · 2 filters
On the linear convergence of circumcentered isometry methods
Heinz H. Bauschke, Hui Ouyang, Xianfu Wang
The circumcentered Douglas--Rachford method (C--DRM), introduced by Behling, Bello Cruz and Santos, is an acceleration of the well-known Douglas-Rachford method (DRM) for finding t…
Circumcentered methods induced by isometries
Heinz H. Bauschke, Hui Ouyang, Xianfu Wang
Motivated by the circumcentered Douglas--Rachford method recently introduced by Behling, Bello Cruz and Santos to accelerate the Douglas--Rachford method, we study the properness o…
Generalized monotone operators and their averaged resolvents
Heinz H. Bauschke, Walaa M. Moursi, Xianfu Wang
The correspondence between the monotonicity of a (possibly) set-valued operator and the firm nonexpansiveness of its resolvent is a key ingredient in the convergence analysis of ma…