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Zapiski Nauchnykh Seminarov POMI, 2011, Volume 395, Pages 5–8 (Mi znsl4638)  
This article is cited in 1 scientific paper (total in 1 paper)

Simultaneous decomplexification of a pair of complex matrices via a unitary similarity transformation

A. K. Abdikalykov, Kh. D. Ikramov

Moscow State University, Moscow, Russia
Full-text PDF (504 kB) Citations (1)
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Abstract: Let $(A,B)$ be a given pair of complex $n\times n$ matrices and let at least one of these matrices be unitarily irreducible. An algorithm for verifying whether $A$ and $B$ can be made real via the same unitary similarity transformation is proposed and justified.
Key words and phrases: simultaneous similarity, irreducible matrix, polar decomposition, Takagi's theorem.
Received: 11.04.2011
English version:
Journal of Mathematical Sciences (New York), 2012, Volume 182, Issue 6, Pages 745–747
DOI: https://doi.org/10.1007/s10958-012-0779-2
Bibliographic databases:
Document Type: Article
UDC: 512.64
Language: Russian
Citation: A. K. Abdikalykov, Kh. D. Ikramov, “Simultaneous decomplexification of a pair of complex matrices via a unitary similarity transformation”, Computational methods and algorithms. Part XXIV, Zap. Nauchn. Sem. POMI, 395, POMI, St. Petersburg, 2011, 5–8; J. Math. Sci. (N. Y.), 182:6 (2012), 745–747
Citation in format AMSBIB
\Bibitem{AbdIkr11}
\by A.~K.~Abdikalykov, Kh.~D.~Ikramov
\paper Simultaneous decomplexification of a~pair of complex matrices via a~unitary similarity transformation
\inbook Computational methods and algorithms. Part~XXIV
\serial Zap. Nauchn. Sem. POMI
\yr 2011
\vol 395
\pages 5--8
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl4638}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2870156}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2012
\vol 182
\issue 6
\pages 745--747
\crossref{https://doi.org/10.1007/s10958-012-0779-2}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84861775130}
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  • https://www.mathnet.ru/eng/znsl/v395/p5
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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