4 papers · 1 filter
Finitely Convergent Iterative Methods with Overrelaxations Revisited
Victor I. Kolobov, Simeon Reich, Rafał Zalas
We study the finite convergence of iterative methods for solving convex feasibility problems. Our key assumptions are that the interior of the solution set is nonempty and that cer…
Finitely Convergent Deterministic and Stochastic Iterative Methods for Solving Convex Feasibility Problems
Victor I. Kolobov, Simeon Reich, Rafał Zalas
We propose finitely convergent methods for solving convex feasibility problems defined over a possibly infinite pool of constraints. Following other works in this area, we assume t…
Linear Convergence Rates for Extrapolated Fixed Point Algorithms
Christian Bargetz, Victor I. Kolobov, Simeon Reich +1
We establish linear convergence rates for a certain class of extrapolated fixed point algorithms which are based on dynamic string-averaging methods in a real Hilbert space. This a…
Weak, Strong and Linear Convergence of a Double-Layer Fixed Point Algorithm
Victor I. Kolobov, Simeon Reich, Rafał Zalas
In this article we consider a consistent convex feasibility problem in a real Hilbert space defined by a finite family of sets . We are interested, in particular, in the case…