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A local restart procedure for iterative projection methods for nonlinear symmetric eigenproblems
Citation Link: https://doi.org/10.15480/882.62
Publikationstyp
Preprint
Date Issued
2004-10
Sprache
English
Author(s)
Voß, Heinrich
Institut
TORE-DOI
Number in series
82
Citation
Preprint. Published in: Proceedings of ALGORITMY, 2005
For nonlinear eigenvalue problems $T(lambda)x = 0$ satisfying a minmax characterization of its eigenvalues iterative projection methods combined with safeguarded iteration are suitable for computing all eigenvalues in a given interval. Such methods hit their limitation if a large number of eigenvalues (in the interior of the spectrum) are required. In this paper we propose a localized version of safeguarded iteration which is able to cope with this problem.
Subjects
eigenvalue
nonlinear eigenproblem
Arnoldi method
restart technique
minmax characterization
DDC Class
510: Mathematik
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