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Zapiski Nauchnykh Seminarov POMI, 2011, Volume 395, Pages 9–19 (Mi znsl4639)  
This article is cited in 1 scientific paper (total in 1 paper)

A criterion for unitary congruence between complex matrices

Yu. A. Al'pina, Kh. D. Ikramovb

a Kazan Federal University, Kazan, Russia
b Moscow State University, Moscow, Russia
Full-text PDF (572 kB) Citations (1)
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Abstract: Let $A$ and $B$ be square complex matrices. Based on an important result of Y. P. Hong and R. A. Horn, we propose a criterion for verifying unitary congruence of these matrices. The criterion requires that a finite number of arithmetic operations be performed. No criteria with this finiteness property were previously known.
Key words and phrases: unitary similarity, unitary congruence.
Received: 02.10.2011
English version:
Journal of Mathematical Sciences (New York), 2012, Volume 182, Issue 6, Pages 748–753
DOI: https://doi.org/10.1007/s10958-012-0780-9
Bibliographic databases:
Document Type: Article
UDC: 512.64
Language: Russian
Citation: Yu. A. Al'pin, Kh. D. Ikramov, “A criterion for unitary congruence between complex matrices”, Computational methods and algorithms. Part XXIV, Zap. Nauchn. Sem. POMI, 395, POMI, St. Petersburg, 2011, 9–19; J. Math. Sci. (N. Y.), 182:6 (2012), 748–753
Citation in format AMSBIB
\Bibitem{AlpIkr11}
\by Yu.~A.~Al'pin, Kh.~D.~Ikramov
\paper A criterion for unitary congruence between complex matrices
\inbook Computational methods and algorithms. Part~XXIV
\serial Zap. Nauchn. Sem. POMI
\yr 2011
\vol 395
\pages 9--19
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl4639}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2870157}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2012
\vol 182
\issue 6
\pages 748--753
\crossref{https://doi.org/10.1007/s10958-012-0780-9}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84861777000}
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    • 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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