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Zapiski Nauchnykh Seminarov POMI, 2018, Volume 472, Pages 5–16 (Mi znsl6636)  

Similarity and consimilarity automorphisms of the space of Toeplitz matrices

A. K. Abdikalykova, Kh. D. Ikramovb

a Kazakhstan Branch of Lomonosov Moscow State University, Astana, Kazakhstan
b Lomonosov Moscow State University, Moscow, Russia
References:
Abstract: Let Tn be the set of complex Toeplitz n×n matrices. We describe the matrices U in the linear group GLn(C) such that
ATnU1AUTn
and the matrices UGLn(C) such that
ATnU1AˉUTn.
Key words and phrases: Toeplitz matrix, similarity transformation, consimilarity transformation, ϕ-circulant.
Received: 01.03.2018
Document Type: Article
UDC: 512.643.8
Language: Russian
Citation: A. K. Abdikalykov, Kh. D. Ikramov, “Similarity and consimilarity automorphisms of the space of Toeplitz matrices”, Computational methods and algorithms. Part XXXI, Zap. Nauchn. Sem. POMI, 472, POMI, St. Petersburg, 2018, 5–16
Citation in format AMSBIB
\Bibitem{AbdIkr18}
\by A.~K.~Abdikalykov, Kh.~D.~Ikramov
\paper Similarity and consimilarity automorphisms of the space of Toeplitz matrices
\inbook Computational methods and algorithms. Part~XXXI
\serial Zap. Nauchn. Sem. POMI
\yr 2018
\vol 472
\pages 5--16
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6636}
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  • https://www.mathnet.ru/eng/znsl/v472/p5
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