Accession Number : AD0635732

Title :   EXPONENTIAL REPRESENTATIONS OF MATRIX GROUPS.

Corporate Author : RAND CORP SANTA MONICA CALIF

Personal Author(s) : Edelen, Dominic G. B.

Report Date : MAY 1966

Pagination or Media Count : 13

Abstract : Almost all linear problems in engineering and physics can be cast in terms of matrices C which satisfy a system of conditions such as Ct G C = G, G = a given nonsingular matrix. If G happens to be the identity matrix, then C is an orthogonal matrix, whose properties are well known. If, on the other hand, G is some odd-ball nonsingular matrix that arises in a problem with quixotic fixation, the C-matrices can have strange properties indeed. This note provides a direct method of obtaining the properties of such C-matrices by giving an explicit algebraic representation in exponential form. This form has been chosen since it reduces the required calculations to a minimum. (Author)

Descriptors :   (*MATRICES(MATHEMATICS), *GROUPS(MATHEMATICS)), COMPLEX NUMBERS, EQUATIONS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE