TY - JOUR
TI - The p-Factor Method for Nonlinear Optimization
AU - Szczepanik, Ewa
AU - Prusińska, Agnieszka
AU - Tret’yakov, Alexey
TI - The p-Factor Method for Nonlinear Optimization
AB - 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. 
VL - 2012
IS - Volume 21
PY - 2012
SN - 1732-3916
C1 - 2083-8476
SP - 141
EP - 157
DO - 10.4467/20838476SI.12.009.0819
UR - https://ejournals.eu/en/journal/schedae-informaticae/article/the-p-factor-method-for-nonlinear-optimization
KW - nonlinear optimization
KW - p-factor operator
KW - p-regularity
KW - kernel
KW - singularity
KW - convergence
KW - necessary and sucient conditions