Circumcentered methods induced by isometries

DOI10.1007/s10013-020-00417-zOpenAlexW3046651328MaRDI QIDQ2022432

Heinz H. Bauschke, Hui Ouyang, Shawn Xianfu Wang

Publication date: 29 April 2021

Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.11576

zbMATH Keywords

isometrylinear convergenceDouglas-Rachford methodbest approximation problemreflectorcircumcentered isometry methodcircumcentered reflection methodcircumcenter mapping

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Convex programming (90C25) Numerical optimization and variational techniques (65K10) Best approximation, Chebyshev systems (41A50) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (9)

Circumcentering approximate reflections for solving the convex feasibility problem ⋮ Bregman circumcenters: basic theory ⋮ Circumcentric directions of cones ⋮ Bregman circumcenters: monotonicity and forward weak convergence ⋮ On the centralization of the circumcentered-reflection method ⋮ A successive centralized circumcentered-reflection method for the convex feasibility problem ⋮ Unnamed Item ⋮ The circumcentered-reflection method achieves better rates than alternating projections ⋮ Best approximation mappings in Hilbert spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Acceleration schemes for the method of alternating projections
• Circumcentering the Douglas-Rachford method
• The block-wise circumcentered-reflection method
• The rate of linear convergence of the Douglas-Rachford algorithm for subspaces is the cosine of the Friedrichs angle
• On the linear convergence of the circumcentered-reflection method
• On Projection Algorithms for Solving Convex Feasibility Problems
• On circumcenters of finite sets in Hilbert spaces
• Convex analysis and monotone operator theory in Hilbert spaces
• Benchmarking optimization software with performance profiles.

This page was built for publication: Circumcentered methods induced by isometries