On reductibility of degenerate optimization problems to regular operator equations


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We present an application of the p-regularity theory to the analysis of non-regular (irregular, degenerate) nonlinear optimization problems. The p-regularity theory, also known as the p-factor analysis of nonlinear mappings, was developed during last thirty years. The p-factor analysis is based on the construction of the p-factor operator which allows us to analyze optimization problems in the degenerate case. We investigate reducibility of a non-regular optimization problem to a regular system of equations which do not depend on the objective function. As an illustration we consider applications of our results to non-regular complementarity problems of mathematical programming and to linear programming problems.

Sobre autores

E. Bednarczuk

Dorodnicyn Computing Centre; Siedlce University of Natural Sciences; System Research Institute

Email: tret@uph.edu.pl
Rússia, Moscow; Siedlce; ul. Newelska 6, Warszawa

A. Tretyakov

Dorodnicyn Computing Centre; Siedlce University of Natural Sciences; System Research Institute

Autor responsável pela correspondência
Email: tret@uph.edu.pl
Rússia, Moscow; Siedlce; ul. Newelska 6, Warszawa

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