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Title: Projection methods for nonlinear sparse eigenvalue problems
Language: English
Authors: Voß, Heinrich 
Keywords: nonlinear eigenvalue problem; iterative projection method; Jacobi–Davidson method; Arnoldi method; rational Krylov method
Issue Date: Feb-2006
Source: Preprint. Published in: Annals European Academy of Sciences 2005, 152-183 (2005)
Abstract (english): 
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.
DOI: 10.15480/882.183
Institute: Mathematik E-10 
Numerische Simulation E-10 (H) 
Document Type: Working Paper
License: In Copyright In Copyright
Part of Series: Preprints des Institutes für Mathematik 
Volume number: 97
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