The p-Factor Method for Nonlinear Optimization
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Publication date: 20.12.2012
Schedae Informaticae, 2012, Volume 21, pp. 141 - 157
https://doi.org/10.4467/20838476SI.12.009.0819Authors
The p-Factor Method for Nonlinear Optimization
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.
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Information: Schedae Informaticae, 2012, Volume 21, pp. 141 - 157
Article type: Original article
Titles:
The p-Factor Method for Nonlinear Optimization
The p-Factor Method for Nonlinear Optimization
University of Siedlce
ul. Stanisława Konarskiego 2, 08-110 Siedlce, Poland, Poland
University of Siedlce
ul. Stanisława Konarskiego 2, 08-110 Siedlce, Poland, Poland
Russian Academy of Education, Russia
University of Siedlce
ul. Stanisława Konarskiego 2, 08-110 Siedlce, Poland, Poland
Published at: 20.12.2012
Article status: Open
Licence: None
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