A description of pairs of the quasi-commuting Toeplitz and Hankel matrices
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 20 (2017) no. 4, pp. 439-444
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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 $\sigma\ne\pm1$.
@article{SJVM_2017_20_4_a6,
author = {V. N. Chugunov and Kh. D. Ikramov},
title = {A description of pairs of the quasi-commuting {Toeplitz} and {Hankel} matrices},
journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
pages = {439--444},
publisher = {mathdoc},
volume = {20},
number = {4},
year = {2017},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/SJVM_2017_20_4_a6/}
}
TY - JOUR AU - V. N. Chugunov AU - Kh. D. Ikramov TI - A description of pairs of the quasi-commuting Toeplitz and Hankel matrices JO - Sibirskij žurnal vyčislitelʹnoj matematiki PY - 2017 SP - 439 EP - 444 VL - 20 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/SJVM_2017_20_4_a6/ LA - ru ID - SJVM_2017_20_4_a6 ER -
%0 Journal Article %A V. N. Chugunov %A Kh. D. Ikramov %T A description of pairs of the quasi-commuting Toeplitz and Hankel matrices %J Sibirskij žurnal vyčislitelʹnoj matematiki %D 2017 %P 439-444 %V 20 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/SJVM_2017_20_4_a6/ %G ru %F SJVM_2017_20_4_a6
V. N. Chugunov; Kh. D. Ikramov. A description of pairs of the quasi-commuting Toeplitz and Hankel matrices. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 20 (2017) no. 4, pp. 439-444. http://geodesic.mathdoc.fr/item/SJVM_2017_20_4_a6/