Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXXI, Tome 472 (2018), pp. 5-16
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A. K. Abdikalykov; Kh. D. Ikramov. Similarity and consimilarity automorphisms of the space of Toeplitz matrices. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXXI, Tome 472 (2018), pp. 5-16. http://geodesic.mathdoc.fr/item/ZNSL_2018_472_a0/
@article{ZNSL_2018_472_a0,
author = {A. K. Abdikalykov and Kh. D. Ikramov},
title = {Similarity and consimilarity automorphisms of the space of {Toeplitz} matrices},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {5--16},
year = {2018},
volume = {472},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2018_472_a0/}
}
TY - JOUR
AU - A. K. Abdikalykov
AU - Kh. D. Ikramov
TI - Similarity and consimilarity automorphisms of the space of Toeplitz matrices
JO - Zapiski Nauchnykh Seminarov POMI
PY - 2018
SP - 5
EP - 16
VL - 472
UR - http://geodesic.mathdoc.fr/item/ZNSL_2018_472_a0/
LA - ru
ID - ZNSL_2018_472_a0
ER -
%0 Journal Article
%A A. K. Abdikalykov
%A Kh. D. Ikramov
%T Similarity and consimilarity automorphisms of the space of Toeplitz matrices
%J Zapiski Nauchnykh Seminarov POMI
%D 2018
%P 5-16
%V 472
%U http://geodesic.mathdoc.fr/item/ZNSL_2018_472_a0/
%G ru
%F ZNSL_2018_472_a0
Let $T_n$ be the set of complex Toeplitz $n\times n$ matrices. We describe the matrices $U$ in the linear group $\mathrm{GL}_n(\mathbf{C})$ such that $$ \forall A \in T_n \longrightarrow U^{-1}AU \in T_n $$ and the matrices $U \in \mathrm{GL}_n(\mathbf{C})$ such that $$ \forall A \in T_n \longrightarrow U^{-1}A\bar U \in T_n. $$
