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Zapiski Nauchnykh Seminarov POMI, 2010, Volume 382, Pages 60–70 (Mi znsl3861)  
On conjugate-normal $(T+H)$-circulants and skew-circulants

Kh. D. Ikramova, V. N. Chugunovb

a Moscow State University, Moscow, Russia
b Institute of Numerical Mathematics, Russian Academy of Sciences, Moscow, Russia
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Abstract: A matrix $A$ is called a $(T+H)$-circulant (skew-circulant) if $A$ can be represented as a sum of a conventional (that is, Toeplitz) and a ankel circulants (respectively, skew-circulants). A complete description of the sets of conjugate-normal $(T+H)$-circulants and skew-circulants is given. Bibl. 3 titles.
Key words and phrases: Toeplitz matrix, Hankel matrix, $(T+H)$-matrix, conjugate-normal matrix, circulant, Hankel circulant, $\phi$-circulant, $(T+H)$-circulant.
Received: 19.01.2010
English version:
Journal of Mathematical Sciences (New York), 2011, Volume 176, Issue 1, Pages 32–37
DOI: https://doi.org/10.1007/s10958-011-0390-y
Bibliographic databases:
Document Type: Article
UDC: 512
Language: Russian
Citation: Kh. D. Ikramov, V. N. Chugunov, “On conjugate-normal $(T+H)$-circulants and skew-circulants”, Computational methods and algorithms. Part XXIII, Zap. Nauchn. Sem. POMI, 382, POMI, St. Petersburg, 2010, 60–70; J. Math. Sci. (N. Y.), 176:1 (2011), 32–37
Citation in format AMSBIB
\Bibitem{IkrChu10}
\by Kh.~D.~Ikramov, V.~N.~Chugunov
\paper On conjugate-normal $(T+H)$-circulants and skew-circulants
\inbook Computational methods and algorithms. Part~XXIII
\serial Zap. Nauchn. Sem. POMI
\yr 2010
\vol 382
\pages 60--70
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3861}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2011
\vol 176
\issue 1
\pages 32--37
\crossref{https://doi.org/10.1007/s10958-011-0390-y}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79958289699}
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