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Journal of Automation and Information Sciences
SJR: 0.275 SNIP: 0.59 CiteScore™: 0.8

ISSN Print: 1064-2315
ISSN Online: 2163-9337

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Journal of Automation and Information Sciences

DOI: 10.1615/JAutomatInfScien.v48.i7.50
pages 41-54

Cortege Conception and Its Implementation for Matrix Corteges

Vladimir S. Donchenko
Kyiv National Taras Shevchenko University, Ukraine
Taras P. Zinko
Kiev National Taras Shevchenko University, Kiev

ABSTRACT

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.


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