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Computing the eigenvalues of symmetric H2-matrices by slicing the spectrum / Peter Benner, Steffen Börm, Thomas Mach, Knut Reimer
VerfasserBenner, Peter ; Börm, Steffen ; Mach, Thomas ; Reimer, Knut
ErschienenMagdeburg : Max Planck Institute for Dynamics of Complex Technical Systems, March 18, 2014
Umfang1 Online-Ressource (21 Seiten = 0,32 MB) : Diagramme
SpracheEnglisch
SerieMax Planck Institute Magdeburg Preprints ; 14-06
URNurn:nbn:de:gbv:3:2-64453 
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Computing the eigenvalues of symmetric H2-matrices by slicing the spectrum [0.32 mb]
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Abstract: The computation of eigenvalues of large-scale matrices arising from finite element discretizations has gained significant interest in the last decade. Here we present a new algorithm based on slicing the spectrum that takes advantage of the rank structure of resolvent matrices in order to compute m eigenvalues of the generalized symmetric eigenvalue problem in O(n m logα n) operations where α>0 is a small constant.