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Zapiski Nauchnykh Seminarov POMI, 2006, Volume 334, Pages 111–120 (Mi znsl226)  
This article is cited in 7 scientific papers (total in 7 papers)

On the coneigenvalues and singular values of a complex square matrix

Kh. D. Ikramov

M. V. Lomonosov Moscow State University
Full-text PDF (167 kB) Citations (7)
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Abstract: It is shown that the coneigenvalues of a matrix, when properly defined (in a way different from the one commonly used in the literature), obey relations similar to the classical inequalities between the (ordinary) eigenvalues and singular values. Several interesting spectral properties of conjugate-normal matrices are indicated. This matrix class plays the same role in the theory of unitary congruences as the class of normal matrices plays in the theory of unitary similarities.
Received: 27.04.2006
English version:
Journal of Mathematical Sciences (New York), 2007, Volume 141, Issue 6, Pages 1633–1638
DOI: https://doi.org/10.1007/s10958-007-0072-y
Bibliographic databases:
UDC: 512
Language: Russian
Citation: Kh. D. Ikramov, “On the coneigenvalues and singular values of a complex square matrix”, Computational methods and algorithms. Part XIX, Zap. Nauchn. Sem. POMI, 334, POMI, St. Petersburg, 2006, 111–120; J. Math. Sci. (N. Y.), 141:6 (2007), 1633–1638
Citation in format AMSBIB
\Bibitem{Ikr06}
\by Kh.~D.~Ikramov
\paper On the coneigenvalues and singular values of a~complex square matrix
\inbook Computational methods and algorithms. Part~XIX
\serial Zap. Nauchn. Sem. POMI
\yr 2006
\vol 334
\pages 111--120
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl226}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2270911}
\zmath{https://zbmath.org/?q=an:1119.15010}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2007
\vol 141
\issue 6
\pages 1633--1638
\crossref{https://doi.org/10.1007/s10958-007-0072-y}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33846949432}
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  • https://www.mathnet.ru/eng/znsl/v334/p111
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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