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Journal of Automation and Information Sciences
SJR: 0.238 SNIP: 0.464 CiteScore™: 0.27

ISSN 印刷: 1064-2315
ISSN オンライン: 2163-9337

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Journal of Automation and Information Sciences

DOI: 10.1615/JAutomatInfScien.v33.i3.10
16 pages

Perturbation of Pseudo-inverse and Projective Matrices and Their Application for Identification of Linear and Nonlinear Relations

Nikolay Fedorovich Kirichenko
V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kyiv
Nikolay P. Lepekha
Kyiv National Taras Shevchenko University, Kyiv

要約

The results of perturbation of pseudo-inverse and projective matrixes obtained by the authors are planned to be applied for solving of linear and nonlinear problems of identification. The corresponding formulas for transformation of these matrixes for perturbation like alteration of matrix element values and changing of the dimension (supplement or elimination of a row) are presented. The results are extended on solving problems of nonlinear regression, an approximation of functions, prediction and image recognition.


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