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