Accession Number : AD0635446
Title : REDUCIBILITY OF MATRIX POLYNOMIALS AND THEIR TRACES.
Descriptive Note : Technical rept.
Corporate Author : BROWN UNIV PROVIDENCE R I DIV OF APPLIED MATHEMATICS
Personal Author(s) : Lew, John S.
Report Date : APR 1966
Pagination or Media Count : 12
Abstract : For nxn matrices, we show the reducibility in degree of certain products of matrix variables and their traces, thus generalizing from two- and three-dimensional space some results used by Rivlin, Smith, and Spencer to get an orthogonal integrity basis for second-rank symmetric tensors. In particular we show the reducibility for n > 3 of any product of 2n-1 matrices and of its trace. (Author)
Descriptors : (*POLYNOMIALS, *MATRICES(MATHEMATICS)), INVARIANCE, NUMBER THEORY
Subject Categories : Theoretical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE