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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2021, Volume 61, Number 5, Pages 759–775
DOI: https://doi.org/10.31857/S0044466921050082 (Mi zvmmf11236) 		 
This article is cited in 7 scientific papers (total in 7 papers)

General numerical methods

Computing the eigenvectors of nonsymmetric tridiagonal matrices

P. Van Doorena, T. Laudadiob, N. Mastronardib

a Department of Mathematical Engineering, Catholic University of Louvain, Louvain-la-Neuve, Belgium
b Istituto per le Applicazioni del Calcolo, Bari, Italy
Citations (7)
DOI: https://doi.org/10.31857/S0044466921050082
Abstract: The computation of the eigenvalue decomposition of matrices is one of the most investigated problems in numerical linear algebra. In particular, real nonsymmetric tridiagonal eigenvalue problems arise in a variety of applications. In this paper the problem of computing an eigenvector corresponding to a known eigenvalue of a real nonsymmetric tridiagonal matrix is considered, developing an algorithm that combines part of a $QR$ sweep and part of a $QL$ sweep, both with the shift equal to the known eigenvalue. The numerical tests show the reliability of the proposed method.
Key words: nonsymmetric tridiagonal matrices, eigenvectors, Bessel matrices.
Funding agency Grant number
Istituto Nazionale di Alta Matematica "Francesco Severi"
Centre National de la Recherche Scientifique
This work of T.L. and N.M. was partly supported by GNCS-INdAM. The work of P.V.D. was partly supported by CNR, Italy under the Short Term Mobility Program.
Received: 24.11.2020
Revised: 24.11.2020
Accepted: 14.01.2021
English version:
Computational Mathematics and Mathematical Physics, 2021, Volume 61, Issue 5, Pages 733–749
DOI: https://doi.org/10.1134/S0965542521050080
Bibliographic databases:
Document Type: Article
UDC: 519.61
Language: Russian
Citation: P. Van Dooren, T. Laudadio, N. Mastronardi, “Computing the eigenvectors of nonsymmetric tridiagonal matrices”, Zh. Vychisl. Mat. Mat. Fiz., 61:5 (2021), 759–775; Comput. Math. Math. Phys., 61:5 (2021), 733–749
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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