4 papers
On angles, projections and iterations
Christian Bargetz, Jona Klemenc, Simeon Reich +1
We investigate connections between the geometry of linear subspaces and the convergence of the alternating projection method for linear projections. The aim of this article is twof…
On the rate of convergence of iterated Bregman projections and of the alternating algorithm
Christian Bargetz, Emir Medjic
We study the alternating algorithm for the computation of the metric projection onto the closed sum of two closed subspaces in uniformly convex and uniformly smooth Banach spaces.…
Generic Convergence of Sequences of Successive Approximations in Banach Spaces
Christian Bargetz, Simeon Reich
We study the generic behavior of the method of successive approximations for set-valued mappings in Banach spaces. We consider, in particular, the case of those set-valued mappings…
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…