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Zapiski Nauchnykh Seminarov POMI, 2014, Volume 428, Pages 5–12
(Mi znsl6048)
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Unitary automorphisms of the space of $(T+H)$-matrices
A. K. Abdikalykov Kazakhstan Branch of Lomonosov Moscow State University, Astana, Kazakhstan
Abstract:
Let $TH_n$ be the space of $(T+H)$-matrices of order $n$. The paper considers the following question: Which unitary matrices $U$ satisfy the condition $\forall A\in TH_n\to U^*AU\in TH_n$? A criterion for verifying whether a given matrix $U$ has this property is proposed.
Key words and phrases:
unitary similarity, $(T+H)$-matrices, centrosymmetric matrices, tridiagonal matrices.
Received: 07.10.2014
Citation:
A. K. Abdikalykov, “Unitary automorphisms of the space of $(T+H)$-matrices”, Computational methods and algorithms. Part XXVII, Zap. Nauchn. Sem. POMI, 428, POMI, St. Petersburg, 2014, 5–12; J. Math. Sci. (N. Y.), 207:5 (2015), 669–673
Linking options:
https://www.mathnet.ru/eng/znsl6048 https://www.mathnet.ru/eng/znsl/v428/p5
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Statistics & downloads: |
Abstract page: | 124 | Full-text PDF : | 28 | References: | 26 |
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