Numerical methods for sparse nonlinear eigenvalue problems

Publikationstyp
Conference Paper
Publikationsdatum
2004-01
Sprache
English
Author
Voß, Heinrich 
Institut
Mathematik E-10 
DOI
10.15480/882.66
TORE-URI
http://tubdok.tub.tuhh.de/handle/11420/68
Lizenz
http://rightsstatements.org/vocab/InC/1.0/
First published in
Preprints des Institutes für Mathematik 
Number in series
70
Citation
Proc. XVth Summer School on Software and Alg. of Num Math., Hejnice, Czech Republik
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. We briefly sketch a new approach to structure preserving projection methods, but we do not review the rich literature on polynomial eigenproblems which take advantage of a linearization of the problem.
Schlagworte
nonlinear eigenvalue problem
iterative projection method
Jacobi–Davidson method
Arnoldi method
rational Krylov method
DDC Class
510: Mathematik