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  4. Projection methods for nonlinear sparse eigenvalue problems
 
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Projection methods for nonlinear sparse eigenvalue problems

Citation Link: https://doi.org/10.15480/882.183
Publikationstyp
Working Paper
Date Issued
2006-02
Sprache
English
Author(s)
Voß, Heinrich 
Institut
Mathematik E-10  
Numerische Simulation E-10 (H)  
TORE-DOI
10.15480/882.183
TORE-URI
http://tubdok.tub.tuhh.de/handle/11420/185
First published in
Preprints des Institutes für Mathematik  
Preprints des Institutes für Mathematik;Bericht 97
Number in series
97
Citation
Preprint. Published in: Annals European Academy of Sciences 2005, 152-183 (2005)
This paper surveys numerical methods for general sparse nonlinear eigenvalue problems with special emphasis on iterative projection methods like Jacobi–Davidson, Arnoldi or rational Krylov methods and the automated multi–level substructuring. We do not review the rich literature on polynomial eigenproblems which take advantage of a linearization of the problem.
Subjects
nonlinear eigenvalue problem
iterative projection method
Jacobi–Davidson method
Arnoldi method
rational Krylov method
DDC Class
510: Mathematik
Lizenz
http://rightsstatements.org/vocab/InC/1.0/
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