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A new \(\mathrm{GMRES}(m)\) method for Markov chains - MaRDI portal

A new \(\mathrm{GMRES}(m)\) method for Markov chains (Q459638)

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scientific article; zbMATH DE number 6354176
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A new \(\mathrm{GMRES}(m)\) method for Markov chains
scientific article; zbMATH DE number 6354176

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    A new \(\mathrm{GMRES}(m)\) method for Markov chains (English)
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    13 October 2014
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    Summary: This paper presents a class of new accelerated restarted GMRES method for calculating the stationary probability vector of an irreducible Markov chain. We focus on the mechanism of this new hybrid method by showing how to periodically combine the GMRES and vector extrapolation method into a much efficient one for improving the convergence rate in Markov chain problems. Numerical experiments are carried out to demonstrate the efficiency of our new algorithm on several typical Markov chain problems.
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