Accession Number : AD0761542

Title :   Simplifying Transformations for Multiply--Symmetric Systems that are Asymmetrically Loaded.

Descriptive Note : Technical rept.,

Corporate Author : HAWAII UNIV HONOLULU

Personal Author(s) : Stoutemyer,David R.

Report Date : MAR 1973

Pagination or Media Count : 31

Abstract : Simple orthogonal and unitary transformations are given, which transform an n-fold, linear symmetric system into n independent systems of (1/n)th the size. This affords substantial savings in computational time and storage even if the system is asymmetrically loaded. These transformations are advantageous even if the system is only partly symmetric. The types of symmetry treated include cyclic, star, translational, and recursive symmetry. It is proved that the transformations work, and operational counts are derived for the solution of linear equations and the computation of eigen-systems. (Author)

Descriptors :   (*MATRICES(MATHEMATICS), *TRANSFORMATIONS(MATHEMATICS)), EXPONENTIAL FUNCTIONS, THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE