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A Multilevel Algorithm for Spectral Partitioning with Extended Eigen-Models

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1800))

Abstract

Parallel solution of irregular problems require solving the graph partitioning problem. The extended eigenproblem appears as the solution of some relaxed formulations of the graph partitioning problem. In this paper, a new subspace algorithm for the solving the extended eigenproblem is presented. The structure of this subspace method allows the incorporation of multigrid preconditioners. We numerically compare our new algorithm with a previous algorithm based on Lanczos iteration and show that our subspace algorithm performs better.

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© 2000 Springer-Verlag Berlin Heidelberg

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Oliveira, S., Soma, T. (2000). A Multilevel Algorithm for Spectral Partitioning with Extended Eigen-Models. In: Rolim, J. (eds) Parallel and Distributed Processing. IPDPS 2000. Lecture Notes in Computer Science, vol 1800. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45591-4_64

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  • DOI: https://doi.org/10.1007/3-540-45591-4_64

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-67442-9

  • Online ISBN: 978-3-540-45591-2

  • eBook Packages: Springer Book Archive

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