Yuri Bazilevich (Institute of Continuing Special Education, Pridneprovsk State University of Civil Engineering, Dnipropetrovsk, Ukraine)

Hierarchic decoupling and symmetry of discrete linear system

Abstract:
Interrelation between possibility of coefficient matrices reduction to a partitioned-triangular form (hierarchic decoupling) and existence of a symmetry group is considered. We prove that nontrivial hierarchic decoupling is possible in two cases: either existence of non-compact group of symmetry or existence of only conditional symmetry.