Author:
Bazylevych Yu.M., ,Kostiushko I.A.,Stanina O.D.,Tkachov V.S., , ,
Abstract
Problems on reducing a system of linear differential equations to several independent low-order subsystems are considered. Construction of the auxiliary square matrices for which similarity transformation is applied is substantiated. This allows transferring the results obtained for the problem of reducing two square matrices to different classes of problems: obtaining the maximum possible number of blocks, proof of the unity of the obtained decoupling, detection of the symmetry of the system under study, detection of loosely coupled subsystems, and creation of efficient computational splitting algorithms. Keywords: matrices, systems of equations, decomposition, maximum number of subsystems.
Publisher
V.M. Glushkov Institute of Cybernetics
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