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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2025, Volume 65, Number 7, Pages 1241–1248
DOI: https://doi.org/10.31857/S0044466925070125
(Mi zvmmf12015)
 

Ordinary differential equations

On the construction of circulants and skew circulants with specified properties

V. N. Chugunova, Kh. D. Ikramovb

a Marchuk Institute of Numerical Mathematics of the Russian Academy of Sciences, Moscow
b Lomonosov Moscow State University
DOI: https://doi.org/10.31857/S0044466925070125
Abstract: A method is proposed for constructing families of circulants and skew-circulants of arbitrary orders that are real symmetric or real skew-symmetric and have a prescribed rank.
Key words: Toeplitz matrix, circulant, skew circulant.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-15-2022-286
V.N. Chugunov was supported by the Moscow Center for Fundamental and Applied Mathematics at the Marchuk Institute of Numerical Mathematics of the Russian Academy of Sciences (agreement with the Ministry of Education and Science of the Russian Federation no. 075-15-2022-286).
Received: 18.04.2025
Accepted: 23.04.2025
English version:
Computational Mathematics and Mathematical Physics, 2025, Volume 65, Issue 7, Pages 1582–1590
DOI: https://doi.org/10.1134/S0965542525700642
Bibliographic databases:
Document Type: Article
UDC: 512.643.8
Language: Russian
Citation: V. N. Chugunov, Kh. D. Ikramov, “On the construction of circulants and skew circulants with specified properties”, Zh. Vychisl. Mat. Mat. Fiz., 65:7 (2025), 1241–1248; Comput. Math. Math. Phys., 65:7 (2025), 1582–1590
Citation in format AMSBIB
\Bibitem{ChuIkr25}
\by V.~N.~Chugunov, Kh.~D.~Ikramov
\paper On the construction of circulants and skew circulants with specified properties
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2025
\vol 65
\issue 7
\pages 1241--1248
\mathnet{http://mi.mathnet.ru/zvmmf12015}
\elib{https://elibrary.ru/item.asp?id=82676650}
\transl
\jour Comput. Math. Math. Phys.
\yr 2025
\vol 65
\issue 7
\pages 1582--1590
\crossref{https://doi.org/10.1134/S0965542525700642}
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    Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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