@article{b3663586-1c93-466d-bd8a-db6e8b7abbba,
author = {Ewa Szczepanik, Agnieszka Prusińska, Alexey Tret’yakov},
title = {The p-Factor Method for Nonlinear Optimization},
journal = {Schedae Informaticae},
volume = {2012},
number = {Volume 21},
year = {2012},
issn = {1732-3916},
pages = {141-157},keywords = {nonlinear optimization; p-factor operator; p-regularity; kernel; singularity; convergence; necessary and sucient conditions},
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. },
doi = {10.4467/20838476SI.12.009.0819},
url = {https://ejournals.eu/en/journal/schedae-informaticae/article/the-p-factor-method-for-nonlinear-optimization}
}