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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2007, Volume 47, Number 2, Pages 179–185 (Mi zvmmf325)  
This article is cited in 1 scientific paper (total in 1 paper)

On tridiagonal conjugate-normal matrices

Kh. D. Ikramov

Faculty of Computational Mathematics and Cybernetics, Moscow State University, Leninskie gory, Moscow, 119992, Russia
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Abstract: Conjugate-normal matrices play the same role in the theory of unitary congruences as conventional normal matrices do with respect to unitary similarities. Naturally, the properties of both matrix classes are fairly similar up to the distinction between the congruence and similarity. However, in certain respects, conjugate-normal matrices differ substantially from normal ones. Our goal in this paper is to indicate one of such distinctions. It is shown that none of the familiar characterizations of normal matrices having the irreducible tridiagonal form has a natural counterpart in the case of conjugate-normal matrices.
Key words: normal matrix, conjugate-normal matrix, irreducible tridiagonal matrix, polynomial in a matrix, coneigenvalues.
Received: 22.08.2006
English version:
Computational Mathematics and Mathematical Physics, 2007, Volume 47, Issue 2, Pages 173–179
DOI: https://doi.org/10.1134/S0965542507020017
Bibliographic databases:
Document Type: Article
UDC: 519.614
Language: Russian
Citation: Kh. D. Ikramov, “On tridiagonal conjugate-normal matrices”, Zh. Vychisl. Mat. Mat. Fiz., 47:2 (2007), 179–185; Comput. Math. Math. Phys., 47:2 (2007), 173–179
Citation in format AMSBIB
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\transl
\jour Comput. Math. Math. Phys.
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\issue 2
\pages 173--179
\crossref{https://doi.org/10.1134/S0965542507020017}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33947151459}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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