Random iteration and projection method
Dynamical Systems
2013-07-24 v1
Abstract
We show that under suitable conditions a random orbit generated by a system of nonexpansive maps recovers an invariant set via its omega-limit. In particular, this explains what happens to the Kaczmarz--von Neumann projection algorithm in the infeasible case, that is, when one deals with more than two affine varieties having empty intersection.
Cite
@article{arxiv.1307.5920,
title = {Random iteration and projection method},
author = {Krzysztof Leśniak},
journal= {arXiv preprint arXiv:1307.5920},
year = {2013}
}
Comments
4 figures