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Title: Flexible and multi-shift induced dimension reduction algorithms for solving large sparse linear systems
Language: English
Authors: Gijzen, Martin Bastiaan van 
Sleijpen, Gerard L. G. 
Zemke, Jens-Peter M.  
Keywords: Iterative Verfahren;Induzierte Dimensions-Reduktion;IDR;IDR(s);Krylov-Unterraum-Verfahren;Iterative methods;IDR;IDR(s);Krylov subspace methods;large sparse nonsymmetric linear systems
Issue Date: Aug-2011
Part of Series: Preprints des Institutes für Mathematik 
Volume number: 156
Abstract (english): 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.
DOI: 10.15480/882.1019
Institute: Mathematik E-10 
Type: Preprint (Vorabdruck)
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