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Mathematics of the USSR-Sbornik, 1987, Volume 56, Issue 2, Pages 279–293
DOI: https://doi.org/10.1070/SM1987v056n02ABEH003036 (Mi sm2160) 		 
This article is cited in 5 scientific papers (total in 5 papers)

On some properties of mixed discriminants

A. A. Panov
English version PDF (822 kB) Citations (5)
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DOI: https://doi.org/10.1070/SM1987v056n02ABEH003036
Abstract: In this article known results of A. D. Aleksandrov concerning mixed discriminants, connected with positive definite quadratic forms, are carried over to the case of positive semidefinite quadratic forms. In particular, the analogue of the Frobenius–Koenig theorem is proved for mixed discriminants, and the main result is the derivation of a necessary and sufficient condition for equality to hold in Aleksandrov's inequality.
Bibliography: 8 titles.
Received: 23.03.1984
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1985, Volume 128(170), Number 3(11), Pages 291–305
Bibliographic databases:
UDC: 512.64
MSC: 15A63, 52A40
Language: English
Original paper language: Russian
Citation: A. A. Panov, “On some properties of mixed discriminants”, Mat. Sb. (N.S.), 128(170):3(11) (1985), 291–305; Math. USSR-Sb., 56:2 (1987), 279–293
Citation in format AMSBIB
\Bibitem{Pan85}
\by A.~A.~Panov
\paper On some properties of mixed discriminants
\jour Mat. Sb. (N.S.)
\yr 1985
\vol 128(170)
\issue 3(11)
\pages 291--305
\mathnet{http://mi.mathnet.ru/sm2160}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=815265}
\zmath{https://zbmath.org/?q=an:0608.15002|0593.15003}
\transl
\jour Math. USSR-Sb.
\yr 1987
\vol 56
\issue 2
\pages 279--293
\crossref{https://doi.org/10.1070/SM1987v056n02ABEH003036}
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  • https://doi.org/10.1070/SM1987v056n02ABEH003036
  • https://www.mathnet.ru/eng/sm/v170/i3/p291
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
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    Abstract page:385
    Russian version PDF:114
    English version PDF:25
    References:60
    First page:1
     
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