This article is cited 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.

UDC: 512.831/99, 621.391.1

Received: 07.07.1970

 English version: Problems of Information Transmission, 1972, 8:1, 1–9

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