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Publisher DOI: 10.1002/gamm.201490007
Title: Nonlinear Eigenvalue Problems: A Challenge for Modern Eigenvalue Methods
Language: English
Authors: Voß, Heinrich 
Mehrmann, Volker 
Keywords: matrix polynomial; projection method; Krylov-subspace method; Arnoldi method; rational-Krylov method; linearization; structure preservation
Issue Date: Jan-2004
Source: Preprint. Published in: GAMM Mitteilungen ; 27.2004, S.121-152
Abstract (english): 
We discuss the state of the art in numerical solution methods for large scale polynomial or rational eigenvalue problems. We present the currently available solution methods such as the Jacobi-Davidson, Arnoldi or the rational Krylov method and analyze their properties. We briefly introduce a new linearization technique and demonstrate how it can be used to improve structure preservation and with this the accuracy and efficiency of linearization based methods. We present several recent applications where structured and unstructured nonlinear eigenvalue problems arise and some numerical results.
DOI: 10.15480/882.61
Institute: Mathematik E-10 
Document Type: Technical Report
License: In Copyright In Copyright
Part of Series: Preprints des Institutes für Mathematik 
Volume number: 83
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