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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2017, Volume 20, Number 4, Pages 439–444
DOI: https://doi.org/10.15372/SJNM20170407 (Mi sjvm662) 		 
A description of pairs of the quasi-commuting Toeplitz and Hankel matrices

V. N. Chugunova, Kh. D. Ikramovb

a Institute of Numerical Mathematics, Russian Academy of Sciences, 8 Gubkina str., Moscow, 119333, Russia
b Lomonosov Moscow State University, GSP-1 Leninskie Gory, Moscow, 119991, Russia
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DOI: https://doi.org/10.15372/SJNM20170407
Abstract: We say that the square matrices $A$ and $B$ are of the same order quasi-commute if $AB=\sigma BA$ for some scalar $\sigma$. Classical relations of commutation and anti-commutation are particular cases of this definition. We give a complete description of pairs of the quasi-commuting Toeplitz and Hankel matrices for $\sigma\ne\pm1$.
Key words: Toeplitz matrix, Hankel matrix, $\phi$-circulant, quasi-commuting matrices.
Funding agency Grant number
Russian Science Foundation 14-11-00806
Received: 27.02.2017
Revised: 19.04.2017
English version:
Numerical Analysis and Applications, 2017, Volume 10, Issue 4, Pages 358–361
DOI: https://doi.org/10.1134/S1995423917040073
Bibliographic databases:
Document Type: Article
UDC: 512.643
Language: Russian
Citation: V. N. Chugunov, Kh. D. Ikramov, “A description of pairs of the quasi-commuting Toeplitz and Hankel matrices”, Sib. Zh. Vychisl. Mat., 20:4 (2017), 439–444; Num. Anal. Appl., 10:4 (2017), 358–361
Citation in format AMSBIB
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