On reductibility of degenerate optimization problems to regular operator equations
- Autores: Bednarczuk E.M.1,2,3, Tretyakov A.A.1,2,3
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Afiliações:
- Dorodnicyn Computing Centre
- Siedlce University of Natural Sciences
- System Research Institute
- Edição: Volume 56, Nº 12 (2016)
- Páginas: 1992-2000
- Seção: Article
- URL: https://journal-vniispk.ru/0965-5425/article/view/178786
- DOI: https://doi.org/10.1134/S0965542516120058
- ID: 178786
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Resumo
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.
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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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