Geodesic
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 Cet article a éte moissonné depuis la source Math-Net.Ru

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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 $$ \forall A \in T_n \longrightarrow U^{-1}A\bar U \in T_n. $$ 
@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/}
}
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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/