Title: Computing the eigenvalues of symmetric H2-matrices by slicing the spectrum
Authors: Benner, Peter * #
Boerm, Steffen * # ×
Mach, Thomas * #
Reimer, Knut * #
Issue Date: 4-Mar-2015
Publisher: Springer Berlin
Series Title: Computing and Visualization in Science vol:16 issue:6 pages:271-282
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^α n) operations, where α>0 is a small constant.
ISSN: 1432-9360
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Numerical Analysis and Applied Mathematics Section
* (joint) first author
× corresponding author
# (joint) last author

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