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- Title
On reductibility of degenerate optimization problems to regular operator equations.
- Authors
Bednarczuk, E.; Tretyakov, A.
- Abstract
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.
- Subjects
NONLINEAR programming; NONLINEAR operator equations; FACTOR analysis; MATHEMATICAL mappings; LINEAR programming
- Publication
Computational Mathematics & Mathematical Physics, 2016, Vol 56, Issue 12, p1992
- ISSN
0965-5425
- Publication type
Article
- DOI
10.1134/S0965542516120058