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

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dc.contributor.authorBenner, Peter
dc.contributor.authorBörm, Steffen
dc.contributor.authorMach, Thomas
dc.contributor.authorReimer, Knut
dc.date.accessioned2017-01-09T07:20:30Z
dc.date.available2017-01-09T07:20:30Z
dc.date.issued2015-03-04
dc.description.abstractThe 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.identifier.citationBenner, 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-yru_RU
dc.identifier.urihttp://nur.nu.edu.kz/handle/123456789/2224
dc.language.isoenru_RU
dc.publisherComputing and Visualization in Scienceru_RU
dc.rightsAttribution-NonCommercial-ShareAlike 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/us/*
dc.subjectslicing the spectrumru_RU
dc.subjectsymmetric generalized eigenproblemru_RU
dc.titleComputing the eigenvalues of symmetric H2-matrices by slicing the spectrumru_RU
dc.typeArticleru_RU

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