Bazilevich Y. Decoupling Methods of Matrix Mathematical Models.

The problems of bringing systems of equations of high order to the individual subsystems by a linear change of variables have been considered. Both methods using information about symmetry of corresponding calculation model and analyzing the system of equalizations directly have been applied. The uniqueness of the decoupling of the system into subsystems has been proved. Particular attention has been paid to the computing side of the applied methods and to the issues of obtaining of the computer-aided decisions. The problem of determining the systems similar to the splittable ones has been resolved. The methods of hierarchical decoupling of the systems have been created.