On reductibility of degenerate optimization problems to regular operator equations
- Авторы: Bednarczuk E.M.1,2,3, Tretyakov A.A.1,2,3
-
Учреждения:
- Dorodnicyn Computing Centre
- Siedlce University of Natural Sciences
- System Research Institute
- Выпуск: Том 56, № 12 (2016)
- Страницы: 1992-2000
- Раздел: Article
- URL: https://journals.rcsi.science/0965-5425/article/view/178786
- DOI: https://doi.org/10.1134/S0965542516120058
- ID: 178786
Цитировать
Аннотация
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.
Ключевые слова
Об авторах
E. Bednarczuk
Dorodnicyn Computing Centre; Siedlce University of Natural Sciences; System Research Institute
Email: tret@uph.edu.pl
Россия, Moscow; Siedlce; ul. Newelska 6, Warszawa
A. Tretyakov
Dorodnicyn Computing Centre; Siedlce University of Natural Sciences; System Research Institute
Автор, ответственный за переписку.
Email: tret@uph.edu.pl
Россия, Moscow; Siedlce; ul. Newelska 6, Warszawa
Дополнительные файлы
