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arXiv · 1805.03932

Linear Convergence Rates for Extrapolated Fixed Point Algorithms

Christian Bargetz·Victor I. Kolobov·Simeon Reich·Rafał Zalas
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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.

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Christian Bargetz, Victor I. Kolobov, Simeon Reich, Rafał Zalas. 2018-05-10. Linear Convergence Rates for Extrapolated Fixed Point Algorithms. https://arxiv.org/abs/1805.03932

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