9 papers · 1 filter
Linear Convergence of Generalized Proximal Point Algorithms for Monotone Inclusion Problems
Hui Ouyang
We focus on the linear convergence of generalized proximal point algorithms for solving monotone inclusion problems. Under the assumption that the associated monotone operator is m…
On the Stability of Krasnosel'ski\vı-Mann Iterations
Hui Ouyang
Firstly, we invoke the weak convergence (resp. strong convergence) of translated basic methods involving nonexpansive operators to establish the weak convergence (resp. strong conv…
Bregman circumcenters: basic theory
Hui Ouyang, Xianfu Wang
Circumcenters play an important role in the design and analysis of accelerating various iterative methods in optimization. In this work, we propose Bregman (pseudo-)circumcenters a…
Best approximation mappings in Hilbert spaces
Heinz H. Bauschke, Hui Ouyang, Xianfu Wang
The notion of best approximation mapping (BAM) with respect to a closed affine subspace in finite-dimensional space was introduced by Behling, Bello Cruz and Santos to show the lin…
Projecting onto intersections of halfspaces and hyperplanes
Hui Ouyang
It is well-known that the sequence of iterations of the composition of projections onto closed affine subspaces converges linearly to the projection onto the intersection of the af…
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…