# Algebraic Multilevel Methods for Markov Chains

@article{Polthier2017AlgebraicMM, title={Algebraic Multilevel Methods for Markov Chains}, author={Lukas Polthier}, journal={arXiv: Numerical Analysis}, year={2017} }

A new algebraic multilevel algorithm for computing the second eigenvector of a column-stochastic matrix is presented. The method is based on a deflation approach in a multilevel aggregation framework. In particular a square and stretch approach, first introduced by Treister and Yavneh, is applied. The method is shown to yield good convergence properties for typical example problems.

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