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Multi-Grid Lanczos

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arxiv 1710.06884 v1 pith:4ZQGXETN submitted 2017-10-18 hep-lat

M. A. Clark , Chulwoo Jung , Christoph Lehner This is my paper · ORCID
classification hep-lat
keywords lanczosmemoryalgorithmdeflationdiskeigenvectorsensemblesexact
verification ladder T0 review T1 audit T2 compute T3 formal
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We present a Lanczos algorithm utilizing multiple grids that reduces the memory requirements both on disk and in working memory by one order of magnitude for RBC/UKQCD's 48I and 64I ensembles at the physical pion mass. The precision of the resulting eigenvectors is on par with exact deflation.

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  1. Multigrid low-mode averaging

    hep-lat 2024-12 conditional novelty 6.0 of 10

    A multigrid extension of low-mode averaging keeps the number of Dirac low modes fixed while suppressing stochastic variance on increasingly large lattices.

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