Please use this identifier to cite or link to this item: https://doi.org/10.15480/882.789
Fulltext available Open Access
Title: Eigenvalue computations based on IDR
Language: English
Authors: Gutknecht, Martin 
Zemke, Jens-Peter M.  
Keywords: Induzierte Dimensions-Reduktion;Krylov space method;iterative method;induced dimension reduction;large nonsymmetric eigenvalue problem
Issue Date: May-2010
Part of Series: Preprints des Institutes für Mathematik 
Volume number: 145
Abstract (english): The Induced Dimension Reduction (IDR) method, which has been introduced as a transpose-free Krylov space method for solving nonsymmetric linear systems, can also be used to determine approximate eigenvalues of a matrix or operator. The IDR residual polynomials are the products of a residual polynomial constructed by successively appending linear smoothing factors and the residual polynomials of a two-sided (block) Lanczos process with one right-hand side and several left-hand sides. The Hessenberg matrix of the OrthoRes version of this Lanczos process is explicitly obtained in terms of the scalars defining IDR by deflating the smoothing factors. The eigenvalues of this Hessenberg matrix are approximations of eigenvalues of the given matrix or operator.
URI: http://tubdok.tub.tuhh.de/handle/11420/791
DOI: 10.15480/882.789
Institute: Mathematik E-10 
Type: Preprint (Vorabdruck)
License: http://doku.b.tu-harburg.de/doku/lic_mit_pod.php
Appears in Collections:Publications with fulltext

Files in This Item:
File Description SizeFormat
IDREig.pdf1,82 MBAdobe PDFThumbnail
View/Open
Show full item record

Page view(s)

1,034
Last Week
2
Last month
19
checked on Sep 26, 2020

Download(s)

211
checked on Sep 26, 2020

Google ScholarTM

Check

Note about this record

Export

Items in TORE are protected by copyright, with all rights reserved, unless otherwise indicated.