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

摘要

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 or 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, and approximation of functions, prediction and image recognition.