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Zapiski Nauchnykh Seminarov POMI, 2014, Volume 428, Pages 5–12 (Mi znsl6048)  

Unitary automorphisms of the space of $(T+H)$-matrices

A. K. Abdikalykov

Kazakhstan Branch of Lomonosov Moscow State University, Astana, Kazakhstan
References:
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
English version:
Journal of Mathematical Sciences (New York), 2015, Volume 207, Issue 5, Pages 669–673
DOI: https://doi.org/10.1007/s10958-015-2389-2
Bibliographic databases:
Document Type: Article
UDC: 519.6
Language: Russian
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
Citation in format AMSBIB
\Bibitem{Abd14}
\by A.~K.~Abdikalykov
\paper Unitary automorphisms of the space of $(T+H)$-matrices
\inbook Computational methods and algorithms. Part~XXVII
\serial Zap. Nauchn. Sem. POMI
\yr 2014
\vol 428
\pages 5--12
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6048}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2015
\vol 207
\issue 5
\pages 669--673
\crossref{https://doi.org/10.1007/s10958-015-2389-2}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84949625389}
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  • https://www.mathnet.ru/eng/znsl/v428/p5
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