Simplifying Transformations for Multiply--Symmetric Systems that are Asymmetrically Loaded.
HAWAII UNIV HONOLULU
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Simple orthogonal and unitary transformations are given, which transform an n-fold, linear symmetric system into n independent systems of 1nth 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
- Theoretical Mathematics