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Flexible and multi-shift induced dimension reduction algorithms for solving large sparse linear systems
Citation Link: https://doi.org/10.15480/882.1019
Publikationstyp
Preprint
Date Issued
2011-08
Sprache
English
Institut
TORE-DOI
First published in
Preprints des Institutes für Mathematik;Bericht 156
Number in series
156
We give two important generalizations of the Induced Dimension Reduction (IDR) approach for the solution of linear systems. We derive a flexible and a multi-shift Quasi-Minimal Residual IDR (QMRIDR) variant. Numerical examples are presented to show the effectiveness of these new IDR variants compared to existing ones and to other Krylov subspace methods.
Subjects
Iterative Verfahren
Induzierte Dimensions-Reduktion
IDR
IDR(s)
Krylov-Unterraum-Verfahren
Iterative methods
IDR
IDR(s)
Krylov subspace methods
large sparse nonsymmetric linear systems
DDC Class
510: Mathematik
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