Perturbation of Pseudo-inverse and Projective Matrices and Their Application for Identification of Linear and Nonlinear Relations
Nikolay P. Lepekha, Nikolay Fedorovich Kirichenko · Journal of Automation and Information Sciences · 2001
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.