Tuned preconditioners for inexact two-sided inverse and Rayleigh quotient iteration / Melina Freitag, Patrick Kürschner
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Tuned preconditioners for inexact two-sided inverse and Rayleigh quotient iteration
Discovery
870435000
URN
urn:nbn:de:gbv:3:2-64172
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Publication history
Magdeburg : Max Planck Institute for Dynamics of Complex Technical Systems, April 23, 2013
Content
1 Online-Ressource (26 Seiten = 0,55 MB) : Diagramme
Edition
Language
eng
Comment
Abstract
Abstract: Convergence results are provided for inexact two-sided inverse and Rayleigh quotient iteration, which extend the previously established results to the generalized eigenproblem, and inexact solves with a decreasing solve tolerance. Moreover, the simultaneous solution of the forward and adjoint problem arising in two-sided methods is considered and the successful tuning strategy for preconditioners is extended to two-sided methods. Furthermore, it is shown that inexact two-sided Rayleigh quotient iteration and the inexact two-sided Jacobi-Davidson method (without subspace expansion) applied to the generalized preconditioned eigenvalue problem are equivalent when a certain number of steps of a Petrov-Galerkin-Krylov method is used, and when this specific tuning strategy is applied.
Series
Max Planck Institute Magdeburg Preprints ; 13-04 ppn:870173030