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Computing the Eigenvalues of Symmetric H2-matrices by Slicing the Spectrum

Peter BennerSteffen BörmThomas MachKnut Reimer

出版	Max Planck Institute for Dynamics of Complex Technical Systems, 2014
URL	http://books.google.com.hk/books?id=XerFuQEACAAJ&hl=&source=gbs_api

註釋

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 log[alpha] n) operations, where [alpha]>0 is a small constant.