Random iteration and projection method

Published 23 Jul 2013 in math.DS | (1307.5920v1)

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.

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Authors (1)

Krzysztof Leśniak

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