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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2009, Volume 12, Number 4, Pages 403–407 (Mi sjvm135)  
This article is cited in 1 scientific paper (total in 1 paper)

An eigenvalue problem for a symmetric Toeplitz matrix

Yu. I. Kuznetsov

Institute of Computational Mathematics and Mathematical Geophysics (Computing Center), Siberian Branch of the Russian Academy of Sciences
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Abstract: An algorithm is developed which determines eigenvalues for a symmetric Toeplitz matrix. To this end, we substantiate the generality of eigenvalues problems for a symmetric Toeplitz matrix and for a persymmetric Hankel one. The latter is reduced to an eigenvalue problem for a persymmetric Jacobi matrix. In the even order case, the problem reduces to a Jacobi matrix with halved order.
Key words: symmetric Toeplitz matrix, Hankel structure, Jacobi matrix, persymmetric, tranzitivibilty, Sturm theorem, algorithm, polynomials, roots, eigenvalue problem.
Received: 11.11.2008
English version:
Numerical Analysis and Applications, 2009, Volume 2, Issue 4, Pages 326–329
DOI: https://doi.org/10.1134/S1995423909040041
Bibliographic databases:
UDC: 517.518.36
Language: Russian
Citation: Yu. I. Kuznetsov, “An eigenvalue problem for a symmetric Toeplitz matrix”, Sib. Zh. Vychisl. Mat., 12:4 (2009), 403–407; Num. Anal. Appl., 2:4 (2009), 326–329
Citation in format AMSBIB
\Bibitem{Kuz09}
\by Yu.~I.~Kuznetsov
\paper An eigenvalue problem for a~symmetric Toeplitz matrix
\jour Sib. Zh. Vychisl. Mat.
\yr 2009
\vol 12
\issue 4
\pages 403--407
\mathnet{http://mi.mathnet.ru/sjvm135}
\transl
\jour Num. Anal. Appl.
\yr 2009
\vol 2
\issue 4
\pages 326--329
\crossref{https://doi.org/10.1134/S1995423909040041}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77952828119}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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