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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2024, Volume 64, Number 7, Pages 1145–1162
DOI: https://doi.org/10.31857/S0044466924070043 (Mi zvmmf11784) 		 
General numerical methods

New classes of solutions of the $\sigma$-commutation problem ($\sigma\ne0$, $\pm1$) for Toeplitz and Hankel matrices within a unified approach

V. N. Chugunova, Kh. D. Ikramovb

a Marchuk Institute of Numerical Mathematics, Russian Academy of Sciences, 119333, Moscow, Russia
b Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University, 119991, Moscow, Russia
Full-text PDF
DOI: https://doi.org/10.31857/S0044466924070043
Abstract: In an earlier publication of these authors, a unified approach was proposed to the construction of matrix pairs $(T,H)$ that solve the $\sigma$-commutation problem for Toeplitz and Hankel matrices. Here, this approach is applied for deriving new classes of solutions.
Key words: Toeplitz matrix, Hankel matrix, $\sigma$-commutation.
Funding agency Grant number
Moscow Center of Fundamental and Applied Mathematics 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: 03.04.2024
English version:
Computational Mathematics and Mathematical Physics, 2024, Volume 64, Issue 7, Pages 1413–1430
DOI: https://doi.org/10.1134/S0965542524700635
Bibliographic databases:
Document Type: Article
UDC: 512.643.8
Language: Russian
Citation: V. N. Chugunov, Kh. D. Ikramov, “New classes of solutions of the $\sigma$-commutation problem ($\sigma\ne0$, $\pm1$) for Toeplitz and Hankel matrices within a unified approach”, Zh. Vychisl. Mat. Mat. Fiz., 64:7 (2024), 1145–1162; Comput. Math. Math. Phys., 64:7 (2024), 1413–1430
Citation in format AMSBIB
\Bibitem{ChuIkr24}
\by V.~N.~Chugunov, Kh.~D.~Ikramov
\paper New classes of solutions of the $\sigma$-commutation problem ($\sigma\ne0$, $\pm1$) for Toeplitz and Hankel matrices within a unified approach
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2024
\vol 64
\issue 7
\pages 1145--1162
\mathnet{http://mi.mathnet.ru/zvmmf11784}
\crossref{https://doi.org/10.31857/S0044466924070043}
\elib{https://elibrary.ru/item.asp?id=75206868}
\transl
\jour Comput. Math. Math. Phys.
\yr 2024
\vol 64
\issue 7
\pages 1413--1430
\crossref{https://doi.org/10.1134/S0965542524700635}
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