RT Journal Article ID 03c31fa44548d841 A1 Donchenko, Vladimir S. A1 Zinko , Taras P. T1 Cortege Conception and Its Implementation for Matrix Corteges JF Journal of Automation and Information Sciences JO JAI(S) YR 2016 FD 2016-10-05 VO 48 IS 7 SP 41 OP 54 K1 cortege operators concept K1 numerical vectors K1 Euclidean space K1 eigenvalue problem AB Cortege operators concept is implemented for version when cortege is a set of matrices with fixed dimensions. The suggested concept allows one to transfer constructive tools of describing the basic linear and nonlinear structures of numerical vectors Euclidean space to matrix Euclidean spaces with preservation of the basic relations and ties. This completely concerns the use of these structures in applied problems of classification and clustering. The critical moment is that the difficulty of describing such structures in the matrix Euclidean spaces is not greater than the difficulty of describing the numerical vectors for Euclidean spaces and is reduced to the eigenvalue problem for matrices. PB Begell House LK https://www.dl.begellhouse.com/journals/2b6239406278e43e,592e0f00354f01f3,03c31fa44548d841.html