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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 5, Pages 80–83 (Mi ivm7307)  
This article is cited in 1 scientific paper (total in 1 paper)

Brief communications

Generalized Jordan normal forms of a finite-dimensional linear operator

S. H. Dalalyan

Chair of Algebra and Geometry, Erevan State University, Erevan, Republic of Armenia
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Abstract: We define the Mal'tsev representation of a linear operator on a finite-dimensional linear space and establish the necessary and sufficient conditions for its existence. We obtain a second step generalization of theorems on generalized Jordan normal forms of the first and second kinds.
Keywords: generalized Jordan normal form, finite-dimensional linear operator, characteristic polynomial, companion matrix, second step generalization.
Presented by the member of Editorial Board: A. M. Bikchentaev
Received: 16.11.2010
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2011, Volume 55, Issue 5, Pages 67–69
DOI: https://doi.org/10.3103/S1066369X11050112
Bibliographic databases:
Document Type: Article
UDC: 512.558+512.643
Language: Russian
Citation: S. H. Dalalyan, “Generalized Jordan normal forms of a finite-dimensional linear operator”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 5, 80–83; Russian Math. (Iz. VUZ), 55:5 (2011), 67–69
Citation in format AMSBIB
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\by S.~H.~Dalalyan
\paper Generalized Jordan normal forms of a~finite-dimensional linear operator
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2011
\issue 5
\pages 80--83
\mathnet{http://mi.mathnet.ru/ivm7307}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2920093}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2011
\vol 55
\issue 5
\pages 67--69
\crossref{https://doi.org/10.3103/S1066369X11050112}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-80051617032}
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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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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
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