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Sibirskii Matematicheskii Zhurnal, 2001, Volume 42, Number 4, Pages 815–824 (Mi smj1427)  

This article is cited in 2 scientific papers (total in 2 papers)

A matrix-polynomial structure in a finite-dimensional vector space

Yu. I. Kuznetsov

Institute of Computational Mathematics and Mathematical Geophysics (Computing Center), Siberian Branch of the Russian Academy of Sciences
Full-text PDF (189 kB) Citations (2)
Abstract: The classical interpretation of a matrix is the representation of an operator in a fixed coordinate system. Another interpretation of a symmetric matrix is the representation of a quadratic form. In this article we propose a new concept by considering the following three objects simultaneously: (i) a strongly nonsingular matrix, (ii) nonfactorable low and upper Hessenberg matrices, and (iii) two systems of special polynomials.
Received: 09.10.1999
English version:
Siberian Mathematical Journal, 2001, Volume 42, Issue 4, Pages 685–692
DOI: https://doi.org/10.1023/A:1010493330725
Bibliographic databases:
UDC: 517.518.36
Language: Russian
Citation: Yu. I. Kuznetsov, “A matrix-polynomial structure in a finite-dimensional vector space”, Sibirsk. Mat. Zh., 42:4 (2001), 815–824; Siberian Math. J., 42:4 (2001), 685–692
Citation in format AMSBIB
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\by Yu.~I.~Kuznetsov
\paper A~matrix-polynomial structure in a~finite-dimensional vector space
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\yr 2001
\vol 42
\issue 4
\pages 815--824
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1865473}
\zmath{https://zbmath.org/?q=an:1012.15018}
\transl
\jour Siberian Math. J.
\yr 2001
\vol 42
\issue 4
\pages 685--692
\crossref{https://doi.org/10.1023/A:1010493330725}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000170501200006}
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  • https://www.mathnet.ru/eng/smj/v42/i4/p815
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Сибирский математический журнал Siberian Mathematical Journal
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