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Zapiski Nauchnykh Seminarov POMI, 2018, Volume 472, Pages 5–16
(Mi znsl6636)
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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
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
∀A∈Tn⟶U−1AU∈Tn
and the matrices U∈GLn(C) such that
∀A∈Tn⟶U−1AˉU∈Tn.
Key words and phrases:
Toeplitz matrix, similarity transformation, consimilarity transformation, ϕ-circulant.
Received: 01.03.2018
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
Linking options:
https://www.mathnet.ru/eng/znsl6636 https://www.mathnet.ru/eng/znsl/v472/p5
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Abstract page: | 153 | Full-text PDF : | 48 | References: | 36 |
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