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Title: A local restart procedure for iterative projection methods for nonlinear symmetric eigenproblems
Language: English
Authors: Voß, Heinrich 
Betcke, Marta 
Keywords: eigenvalue; nonlinear eigenproblem; Arnoldi method; restart technique; minmax characterization
Issue Date: Oct-2004
Source: Preprint. Published in: Proceedings of ALGORITMY, 2005
Abstract (english): 
For nonlinear eigenvalue problems $T(lambda)x = 0$ satisfying a minmax characterization of its eigenvalues iterative projection methods combined with safeguarded iteration are suitable for computing all eigenvalues in a given interval. Such methods hit their limitation if a large number of eigenvalues (in the interior of the spectrum) are required. In this paper we propose a localized version of safeguarded iteration which is able to cope with this problem.
DOI: 10.15480/882.62
Institute: Mathematik E-10 
Document Type: Preprint
License: In Copyright In Copyright
Part of Series: Preprints des Institutes für Mathematik 
Volume number: 82
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