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Zapiski Nauchnykh Seminarov POMI, 2010, Volume 382, Pages 71–81 (Mi znsl3862)  
This article is cited in 2 scientific papers (total in 2 papers)

A characterization of Toeplitz and Hankel circulants

Kh. D. Ikramova, V. N. Chugunovb

a Moscow State University, Moscow, Russia
b Institute of Numerical Mathematics, Russian Academy of Sciences, Moscow, Russia
Full-text PDF (174 kB) Citations (2)
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Abstract: A number of propositions of the following type is proved: A Toeplitz matrix $T$ is a circulant if and only if $T$ has an eigenvector $e$ with all the components equal to one. These propositions characterize the circulants (and, more generally, the $\phi$-circulants), as well as their Hankel counterparts, in the sets of all Toeplitz and Hankel matrices, respectively. Bibl. 2 titles.
Key words and phrases: Toeplitz matrix, Hankel matrix, circulant, Hankel circulant, $\phi$-circulant.
Received: 19.01.2010
English version:
Journal of Mathematical Sciences (New York), 2011, Volume 176, Issue 1, Pages 38–43
DOI: https://doi.org/10.1007/s10958-011-0391-x
Bibliographic databases:
Document Type: Article
UDC: 512
Language: Russian
Citation: Kh. D. Ikramov, V. N. Chugunov, “A characterization of Toeplitz and Hankel circulants”, Computational methods and algorithms. Part XXIII, Zap. Nauchn. Sem. POMI, 382, POMI, St. Petersburg, 2010, 71–81; J. Math. Sci. (N. Y.), 176:1 (2011), 38–43
Citation in format AMSBIB
\Bibitem{IkrChu10}
\by Kh.~D.~Ikramov, V.~N.~Chugunov
\paper A characterization of Toeplitz and Hankel circulants
\inbook Computational methods and algorithms. Part~XXIII
\serial Zap. Nauchn. Sem. POMI
\yr 2010
\vol 382
\pages 71--81
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3862}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2011
\vol 176
\issue 1
\pages 38--43
\crossref{https://doi.org/10.1007/s10958-011-0391-x}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79958267592}
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  • https://www.mathnet.ru/eng/znsl/v382/p71
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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