Problemy Peredachi Informatsii
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Problemy Peredachi Informatsii, 1972, Volume 8, Issue 1, Pages 3–15 (Mi ppi770)  
This article is cited in 3 scientific papers (total in 3 papers)

Information Theory

Scalar-Matrix Differentiation and Its Applications to Constructive Problems of Communication Theory

A. A. Amosov, V. V. Kolpakov
Full-text PDF (1455 kB) Citations (3)
Abstract: The authors have developed s method, called scalar-matrix differentiation, which is designed to ascertain the extrema of scalar functions of a matrix argument in a space of matrix operators. It is shown that this method enables one to formalize the solution of a number of variational problems in information, communication, and control theory. Rules are given for the most useful scalar-matrix derivatives and differentials. Some applications of the method are described.
Received: 07.07.1970
Bibliographic databases:
Document Type: Article
UDC: 512.831/99, 621.391.1
Language: Russian
Citation: A. A. Amosov, V. V. Kolpakov, “Scalar-Matrix Differentiation and Its Applications to Constructive Problems of Communication Theory”, Probl. Peredachi Inf., 8:1 (1972), 3–15; Problems Inform. Transmission, 8:1 (1972), 1–9
Citation in format AMSBIB
\Bibitem{AmoKol72}
\by A.~A.~Amosov, V.~V.~Kolpakov
\paper Scalar-Matrix Differentiation and Its Applications to Constructive Problems of Communication Theory
\jour Probl. Peredachi Inf.
\yr 1972
\vol 8
\issue 1
\pages 3--15
\mathnet{http://mi.mathnet.ru/ppi770}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=307809}
\zmath{https://zbmath.org/?q=an:0286.94001}
\transl
\jour Problems Inform. Transmission
\yr 1972
\vol 8
\issue 1
\pages 1--9
Linking options:
  • https://www.mathnet.ru/eng/ppi770
  • https://www.mathnet.ru/eng/ppi/v8/i1/p3
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Проблемы передачи информации Problems of Information Transmission
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