Preconditioned iterative methods for a class of nonlinear eigenvalue problems

Preconditioned iterative methods for a class of nonlinear eigenvalue problems

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In this paper we develop new preconditioned iterative methods for solving monotone nonlinear eigenvalue problems. We investigate the convergence and derive grid-independent error estimates for these methods. Numerical experiments demonstrate the practical effectiveness of the proposed methods...

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Bibliographic Details
Main Author: Solov'ëv, Sergey I.
Language:English
Published: Technische Universität Chemnitz 2006
Subjects:
info:eu-repo/classification/ddc/510
ddc:510
Gradientenverfahren
Konjugierte-Gradienten-Methode
Nichtlineares Eigenwertproblem
Präkonditionierung
preconditioned iterative method
symmetric eigenvalue problem
Online Access:http://nbn-resolving.de/urn:nbn:de:swb:ch1-200601389
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Description
Summary:In this paper we develop new preconditioned iterative methods for solving monotone nonlinear eigenvalue problems. We investigate the convergence and derive grid-independent error estimates for these methods. Numerical experiments demonstrate the practical effectiveness of the proposed methods for a model problem.

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