EXPONENTIAL REPRESENTATIONS OF MATRIX GROUPS.
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1966
- Accession Number
- AD0635732
Entities
People
- Dominic G. B. Edelen
Organizations
- RAND Corporation