English

Linear Convergence Rates for Extrapolated Fixed Point Algorithms

Optimization and Control 2018-05-11 v1

Abstract

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 applies, in particular, to the extrapolated simultaneous and cyclic cutter methods. Our analysis covers the cases of both metric and subgradient projections.

Keywords

Cite

@article{arxiv.1805.03932,
  title  = {Linear Convergence Rates for Extrapolated Fixed Point Algorithms},
  author = {Christian Bargetz and Victor I. Kolobov and Simeon Reich and Rafał Zalas},
  journal= {arXiv preprint arXiv:1805.03932},
  year   = {2018}
}
R2 v1 2026-06-23T01:50:54.463Z