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- Title
The p-Factor Method for Nonlinear Optimization.
- Authors
SZCZEPANIK, EWA; PRUSIŃSKA, AGNIESZKA; TRET'YAKO, ALEXEY
- Abstract
We present the main concept and results of the p-regularity theory (also known as p-factor analysis of nonlinear mappings) applied to nonlinear optimization problems. The approach is based on the construction of p-factor operator. The main result of this theory gives a detailed description of the structure of the zero set of irregular nonlinear mappings. Applications include a new numerical method for solving nonlinear optimization problems and p- order necessary and sufficient optimality conditions. We substantiate the rate of convergence of p-factor method.
- Subjects
NONLINEAR operator equations; STOCHASTIC convergence; MATHEMATICAL optimization; MATHEMATICAL mappings; FACTOR analysis
- Publication
Schedae Informaticae, 2012, Vol 21, p141
- ISSN
1732-3916
- Publication type
Article
- DOI
10.4467/20838476SI.12.009.0819