- Tytuł:
- The $p$-Factor Method for Nonlinear Optimization
- Autorzy:
-
Szczepanik, Ewa
Prusińska, Agnieszka
Tret’yakov, Alexey - Powiązania:
- https://bibliotekanauki.pl/articles/1373566.pdf
- Data publikacji:
- 2012
- Wydawca:
- Uniwersytet Jagielloński. Wydawnictwo Uniwersytetu Jagiellońskiego
- Tematy:
-
nonlinear optimization
kernel
singularity
convergence
necessary and sufficient conditions
$p$-factor operator
$p$-regularity - Opis:
- 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.
- Źródło:
-
Schedae Informaticae; 2012, 21; 141-157
0860-0295
2083-8476 - Pojawia się w:
- Schedae Informaticae
- Dostawca treści:
- Biblioteka Nauki
Artykuł