Abstract: In the paper the development of operating technique for matrices Euclidean spaces is represented. Particularly, within such development transfer of linear operators’ technique with preserving properties of closely correspondence to natural subspaces is represented. Also - spectral results, SVD – and Moore – Penrose Pseudo Inverse – technique, theory of orthogonal projectors and grouping operators. Besides, solution of the linear discrimination problem in Euclidean spaces of matrices is represented in the paper. Realization the program of empowering the operating technique in matrices Euclidean space made possible on the basis of putting in circulation of so-called "cortege operators” and, correspondingly - "cortege operations”.

Keywords: Feature vectors, matrix corteges operators, Single Valued Decomposition for cortege linear operators, linear discrimination.

ACM Classification Keywords: G.2.m. Discrete mathematics: miscellaneous, G.2.1 Combinatorics; G.3 Probability and statistics, G.1.6. Numerical analysis, I.5.1.Pattern Recognition; H.1.m. Models and Principles: miscellaneous.

Link:

SPREADING THE MOORE - PENROSE PSEUDO INVERSE ON MATRICES EUCLIDEAN SPACES: THEORY AND APPLICATIONS

Volodymyr Donchenko, Fedir Skotarenko

http://www.foibg.com/ijicp/vol01/ijicp01-02-p02.pdf