Computing the eigenvalues of symmetric $${\fancyscript{H}}^2$$ H 2 -matrices by slicing the spectrum.

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Benner, Peter, Börm, Steffen, Mach, Thomas and Reimer, Knut (2013) Computing the eigenvalues of symmetric $${\fancyscript{H}}^2$$ H 2 -matrices by slicing the spectrum. Computing and Visualization in Science, 16 (6). pp. 271-282. DOI 10.1007/s00791-015-0238-y.

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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*log^α(n)) operations, where α>0 is a small constant.

Document Type: Article
Keywords: {\fancyscript{H}}^2-matrices Symmetric generalized eigenproblem Slicing the spectrum
Research affiliation: Kiel University
Kiel University > Kiel Marine Science
OceanRep > The Future Ocean - Cluster of Excellence
Refereed: Yes
Open Access Journal?: No
Publisher: American Medical Association
Projects: Future Ocean
Date Deposited: 31 Jan 2018 11:08
Last Modified: 23 Sep 2019 21:19
URI: https://oceanrep.geomar.de/id/eprint/41769

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