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Problemy Peredachi Informatsii, 1972, Volume 8, Issue 1, Pages 3–15
(Mi ppi770)
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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
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
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
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https://www.mathnet.ru/eng/ppi770 https://www.mathnet.ru/eng/ppi/v8/i1/p3
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Abstract page: | 1902 | Full-text PDF : | 3253 | First page: | 1 |
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