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Linear convergence rates for extrapolated fixed point algorithms

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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… Click to show full abstract

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: extrapolated fixed; linear convergence; convergence rates; point algorithms; fixed point

Journal Title: Optimization
Year Published: 2018

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