On Improving the Calculation efficiency in Certain Classes of Hypercomplex Numerical Systems

摘要

A method of calculation efficiency is considered in representing information in complex numbers and their extensions, i.e. in hypercomplex numerical systems which are widely used in various fields of science and engineering. The isomorphous transitions are studied in certain classes of commutative associative extensions of complex numbers of the third and fourth orders. The method is efficient in simulating a wide spectrum of problems of electrodynamics, solid state Mechanics, theoretical physics and others.