Accession Number : AD0736173

Title :   Extrema of Elementary Symmetric Polynomials of the Eigenvalues of the Matrix P*KP+L,

Corporate Author : NAVAL SHIP RESEARCH AND DEVELOPMENT CENTER BETHESDA MD

Personal Author(s) : Berkowitz,S.

Report Date : NOV 1971

Pagination or Media Count : 23

Abstract : The report derives extrema of elementary symmetric polynomials of a matrix P*KP+L, where K and L may be considered normalized noise and signal covariance matrices, respectively. The matrix P is a right-orthonormal, rectangular matrix transformation that may be applied to a normalized sampled input signal. The polynomials are generalizations of specific error and information content criteria in analog communications and may serve as mixed criteria. (Author)

Descriptors :   (*MATRICES(MATHEMATICS), THEOREMS), (*INFORMATION THEORY, MATRICES(MATHEMATICS)), POLYNOMIALS, PERMUTATIONS

Subject Categories : Theoretical Mathematics
      Cybernetics

Distribution Statement : APPROVED FOR PUBLIC RELEASE