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Computing interior eigenvalues of medium sized generalized symmetric eigenproblems
Citation Link: https://doi.org/10.15480/882.173
Publikationstyp
Technical Report
Date Issued
1999-05
Sprache
English
Author(s)
Mackens, Wolfgang
Voß, Heinrich
Institut
TORE-DOI
We present an algorithmic framework to compute approximations to all eigenvalues of a generalized symmetric eigenvalue problem in a prespecified interval together with rigorous error bounds. The method needs the computation of some LU factorizations of the incorporated matrices. The ability to do this excludes the treatment of very large problems.
Subjects
Generalized Eigenvalue Problem, Projection Method
Rational Krylov Space
Error Estimation
Shift-Invert Strategy
DDC Class
510: Mathematik
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