Abstract. The author solves the problem of reducing several complex (generally speaking) n × n-matrices to the same block triangular form by a similarity transformation with maximum possible number of blocks on the main diagonal. The obtained solution may be used to apply the methods of hierarchical decomposition in the analysis of complex systems.
Keywords: matrix, block-triangular form, similarity transformation, the centralizer, algebra over the field, radical.
State Higher Educational Establishment “Prydniprovs’ka State Academy of Civil Engineering and Architecture,
Dnipro, Ukraine,
e-mail: bazilevich@yandex.ru.