%0 Journal Article
%T The p-Factor Method for Nonlinear Optimization
%A Szczepanik, Ewa
%A Prusińska, Agnieszka
%A Tret’yakov, Alexey
%J Schedae Informaticae
%V 2012
%R 10.4467/20838476SI.12.009.0819
%N Volume 21
%P 141-157
%K nonlinear optimization, p-factor operator, p-regularity, kernel, singularity, convergence, necessary and sucient conditions
%@ 1732-3916
%D 2012
%U https://ejournals.eu/en/journal/schedae-informaticae/article/the-p-factor-method-for-nonlinear-optimization
%X 
	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.