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Title: Numerical methods for sparse nonlinear eigenvalue problems
Language: English
Authors: Voß, Heinrich 
Keywords: nonlinear eigenvalue problem; iterative projection method; Jacobi–Davidson method; Arnoldi method; rational Krylov method
Issue Date: Jan-2004
Source: Proc. XVth Summer School on Software and Alg. of Num Math., Hejnice, Czech Republik
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. 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.
DOI: 10.15480/882.66
Institute: Mathematik E-10 
Document Type: Chapter/Article (Proceedings)
License: In Copyright In Copyright
Part of Series: Preprints des Institutes für Mathematik 
Volume number: 70
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