Please use this identifier to cite or link to this item: https://doi.org/10.15480/882.168
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Title: A variant of the inverted Lanczos method
Language: English
Authors: Voß, Heinrich 
Keywords: eigenvalue problem;Lanczos method;Toeplitz matrix;symmetry properties
Issue Date: Jul-2000
Part of Series: Preprints des Institutes für Mathematik 
Volume number: 37
Abstract (english): In this note we study a variant of the inverted Lanczos method which computes eigenvalue approximates of a symmetric matrix A from the projection to a Krylov space of A method at least as long as reorthogonalization is not required. The method is applied to the problem of determining the smallest eigenvalue of a symmetric Toeplitz matrix. It is accelerated taking advantage of symmetry properties of the corresponding eigenvector.
URI: http://tubdok.tub.tuhh.de/handle/11420/170
DOI: 10.15480/882.168
Institute: Mathematik E-10 
Type: ResearchPaper
License: In Copyright In Copyright
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