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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2014, Volume 17, Number 2, Pages 111–124 (Mi sjvm536)  
This article is cited in 2 scientific papers (total in 2 papers)

On eigenvalues of $(T+H)$-circulants and $(T+H)$-skew-circulants

A. K. Abdikalykovab, Kh. D. Ikramova, V. N. Chugunovc

a Lomonosov Moscow State University, Leninskie gory, 1, Moscow, 119991, Russia
b Kazakhstan Branch of Lomonosov Moscow State University, Munaitpasova st., 7, Astana, 010010, Kazakhstan
c Instiute of Numerical Mathematics, Gubkin str., 8, Moscow, 119991, Russia
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Abstract: Explicit formulas for calculating eigenvalues of the Hankel circulants, Hankel skew-circulants, $(T+H)$-circulants, and $(T+H)$-skew-circulants are obtained. It is shown that if $\phi\ne\pm1$, then the set of matrices that can be represented as sums of a Toeplitz $\phi$-circulant and a Hankel $\phi$-circulant is not an algebra.
Key words: Toeplitz matrix, Hankel matrix, circulant, skew-circulant, eigenvalues.
Received: 25.03.2013
English version:
Numerical Analysis and Applications, 2014, Volume 7, Issue 2, Pages 91–103
DOI: https://doi.org/10.1134/S1995423914020037
Bibliographic databases:
Document Type: Article
UDC: 512
Language: Russian
Citation: A. K. Abdikalykov, Kh. D. Ikramov, V. N. Chugunov, “On eigenvalues of $(T+H)$-circulants and $(T+H)$-skew-circulants”, Sib. Zh. Vychisl. Mat., 17:2 (2014), 111–124; Num. Anal. Appl., 7:2 (2014), 91–103
Citation in format AMSBIB
\Bibitem{AbdIkrChu14}
\by A.~K.~Abdikalykov, Kh.~D.~Ikramov, V.~N.~Chugunov
\paper On eigenvalues of $(T+H)$-circulants and $(T+H)$-skew-circulants
\jour Sib. Zh. Vychisl. Mat.
\yr 2014
\vol 17
\issue 2
\pages 111--124
\mathnet{http://mi.mathnet.ru/sjvm536}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=3409474}
\transl
\jour Num. Anal. Appl.
\yr 2014
\vol 7
\issue 2
\pages 91--103
\crossref{https://doi.org/10.1134/S1995423914020037}
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