English

Algebraic Multilevel Methods for Markov Chains

Numerical Analysis 2018-01-03 v2

Abstract

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.

Keywords

Cite

@article{arxiv.1711.04332,
  title  = {Algebraic Multilevel Methods for Markov Chains},
  author = {Lukas Polthier},
  journal= {arXiv preprint arXiv:1711.04332},
  year   = {2018}
}

Comments

19 pages, LaTex

R2 v1 2026-06-22T22:43:30.706Z