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Computing the eigenvalues of symmetric H2-matrices by slicing the spectrum

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dc.contributor.author Benner, Peter
dc.contributor.author Börm, Steffen
dc.contributor.author Mach, Thomas
dc.contributor.author Reimer, Knut
dc.date.accessioned 2017-01-09T07:20:30Z
dc.date.available 2017-01-09T07:20:30Z
dc.date.issued 2015-03-04
dc.identifier.citation Benner, P., Börm, S., Mach, T., & Reimer, K. (2015). Computing the eigenvalues of symmetric H2-matrices by slicing the spectrum. Computing and Visualization in Science. DOI: 10.1007/s00791-015-0238-y ru_RU
dc.identifier.uri http://nur.nu.edu.kz/handle/123456789/2224
dc.description.abstract The computation of eigenvalues of large-scale matrices arising from finite element discretizations has gained significant interest in the last decade (Knyazev et al. in Numerical solution of PDE eigenvalue problems, vol 56. Mathematisches Forschungsinstitut, Oberwolfach, 2013). Here we present an new algorithm based on slicing the spectrum that takes advantage of the rank structure of resolvent matrices in order to compute (Formula presented.) eigenvalues of the generalized symmetric eigenvalue problem in (Formula presented.) operations, where (Formula presented.) is a small constant. ru_RU
dc.language.iso en ru_RU
dc.publisher Computing and Visualization in Science ru_RU
dc.rights Attribution-NonCommercial-ShareAlike 3.0 United States *
dc.rights.uri http://creativecommons.org/licenses/by-nc-sa/3.0/us/ *
dc.subject slicing the spectrum ru_RU
dc.subject symmetric generalized eigenproblem ru_RU
dc.title Computing the eigenvalues of symmetric H2-matrices by slicing the spectrum ru_RU
dc.type Article ru_RU

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