On the explicit diagonalizing procedure of the finite-dimensional operator equations system and its applications in physics
by
Irina Yu. Dmitrieva
Assoc. Prof., Dr. (Ph. D.), Math. Analysis Dept., Institute of Physics & Mathematics, SouthUkrainian State PedUniversity, Staroportofrankovskaya Str., 26, 65020 Odessa, Ukraine; Higher Math. Dept., Odessa National Academy of Telecommunications (ONAT), Kuz
Coauthors: Anatoliy M. Ivanitckiy, Professor, Dept. of the Wireless Systems & Electrodynamics, ONAT, Kuznechnaya Str., 1, 65029 Odessa, Ukraine

Here we propose the explicit mathematical method that is assumed to be quite simple from the engineering and applied aspects and which allows to diagonalize algorithmically the finite-dimensional system of the arbitrary operator equations.

These operators act in certain class and the only one requirement is their commutativity in pairs.

The generalization of given procedure for the operator block matrices is shown here too.

The direct industrial applications concern the signal transmissions in various media for the classical Maxwell theory case.

Date received: May 28, 2008