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. © 2000 Springer-Verlag Berlin Heidelberg.
CITATION STYLE
Oliveira, S., & Soma, T. (2000). A multilevel algorithm for spectral partitioning with extended eigen-models. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 1800 LNCS, pp. 477–484). Springer Verlag. https://doi.org/10.1007/3-540-45591-4_64
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