The p-Factor Method for Nonlinear Optimization

• Authors: Ewa Szczepanik , Agnieszka Prusińska , Alexey Tret’yakov
• Languages of publication: PL

Abstracts

PL

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.

Keywords

PL

nonlinear optimization, p-factor operator, p-regularity, kernel, singularity, convergence, necessary and sucient conditions

• Publisher: [unknown2]
• Journal: Schedae Informaticae
• Year: 2012
• Volume: 21

Dates

published

2012

online

21 - 05 - 2015

Contributors

author

Ewa Szczepanik

author

Agnieszka Prusińska

author

Alexey Tret’yakov