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  4. A local restart procedure for iterative projection methods for nonlinear symmetric eigenproblems
 
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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 
Betcke, Marta  
Institut
Mathematik E-10  
TORE-DOI
10.15480/882.62
TORE-URI
http://tubdok.tub.tuhh.de/handle/11420/64
First published in
Preprints des Institutes für Mathematik; Bericht 82
Preprints des Institutes für Mathematik  
Number in series
82
Citation
Preprint. Published in: Proceedings of ALGORITMY, 2005
Publisher Link
http://pc2.iam.fmph.uniba.sk/amuc/_contributed/algo2005/markiewicz-voss.pdf
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
Lizenz
http://rightsstatements.org/vocab/InC/1.0/
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