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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2024, Volume 64, Number 1, Pages 55–64
DOI: https://doi.org/10.31857/S0044466924010057 (Mi zvmmf11689) 		 
General numerical methods

Deriving known particular solutions of the $\sigma$-commutation problem $(\sigma\ne0, \pm1)$ for a Toeplitz and a Hankel matrix within a unified approach

V. N. Chugunova, Kh. D. Ikramovb

a Marchuk Institute of Numerical Mathematics, Russian Academy of Sciences, 119333, Moscow, Russia
b Moscow Lomonosov State University, Faculty of Computational Mathematics and Cybernetics, 119992, Moscow, Russia
DOI: https://doi.org/10.31857/S0044466924010057
Abstract: In their preceding publication, the authors proposed a unified approach to the construction of matrix pairs $(T,H)$ that solve the $\sigma$-commutation problem for Toeplitz and Hankel matrices. Here, this approach is applied to the derivation of two classes of solutions that were earlier found by V.N. Chugunov from entirely different considerations.
Key words: Toeplitz matrix, Hankel matrix, $\sigma$-commutation, $\varphi$-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: 07.05.2023
Accepted: 16.09.2023
English version:
Computational Mathematics and Mathematical Physics, 2024, Volume 64, Issue 1, Pages 36–44
DOI: https://doi.org/10.1134/S096554252401007X
Bibliographic databases:
Document Type: Article
UDC: 512.643.8
Language: Russian
Citation: V. N. Chugunov, Kh. D. Ikramov, “Deriving known particular solutions of the $\sigma$-commutation problem $(\sigma\ne0, \pm1)$ for a Toeplitz and a Hankel matrix within a unified approach”, Zh. Vychisl. Mat. Mat. Fiz., 64:1 (2024), 55–64; Comput. Math. Math. Phys., 64:1 (2024), 36–44
Citation in format AMSBIB
\Bibitem{ChuIkr24}
\by V.~N.~Chugunov, Kh.~D.~Ikramov
\paper Deriving known particular solutions of the $\sigma$-commutation problem $(\sigma\ne0, \pm1)$ for a Toeplitz and a Hankel matrix within a unified approach
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2024
\vol 64
\issue 1
\pages 55--64
\mathnet{http://mi.mathnet.ru/zvmmf11689}
\crossref{https://doi.org/10.31857/S0044466924010057}
\elib{https://elibrary.ru/item.asp?id=68534076}
\transl
\jour Comput. Math. Math. Phys.
\yr 2024
\vol 64
\issue 1
\pages 36--44
\crossref{https://doi.org/10.1134/S096554252401007X}
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