Deflation Methods in Fermion Inverters

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dc.creatorWilcox, Walter
dc.date2007-10-09
dc.date2007-10-23
dc.date.accessioned2026-07-07T11:53:28Z
dc.date.available2026-07-07T11:53:28Z
dc.descriptionI will review recent developments in matrix deflation methods, by Ronald Morgan/Walter Wilcox, Andreas Stathopoulos/Konstantinos Orginos, and Martin Lüscher, with application to lattice QCD fermion inversion. I will begin with a short review of deflation-related work in the field. The Morgan/Wilcox algorithms using GMRES and BiCGStab for deflation will be described. Typical results for quenched (Wilson and twisted mass) and dynamical configurations (CP-PACS and ETMC) will be displayed and discussed. I will outline how inclusion of multiple right-hand sides and multiple shifts can be accommodated within versions of these methods. I will also review deflation methods based on Conjugate Gradient introduced by Stathopoulos and Orginos for hermitian systems with multiple right-hand sides as well as Lüscher's non-hermitian domain decomposition algorithm using Generalized Conjugate Residual.}
dc.description20 pages, 13 figures, 1 table, plenary talk presented at the XXV International Symposium on Lattice Field Theory, 30 July - 4 August 2007, Regensburg, Germany; clarifications made and typos corrected
dc.identifierhttps://arxiv.org/abs/0710.1813
dc.identifierhttp://arxiv.org/abs/0710.1813
dc.identifierPoSLat2007:025,2007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/204548
dc.subjectHigh Energy Physics - Lattice
dc.subjectMathematical Physics
dc.titleDeflation Methods in Fermion Inverters
dc.typetext

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