Temat: necessary - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: P-order necessary and sufficient conditions for optimality in singular calculus of variations
Autorzy:: Prusińska, Agnieszka
Tret'yakov, Alexey
Powiązania:: https://bibliotekanauki.pl/articles/729251.pdf
Data publikacji:: 2010
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:: singular variational problem
necessary condition of optimality
p-regularity
p-factor operator
Opis:: This paper is devoted to singular calculus of variations problems with constraint functional not regular at the solution point in the sense that the first derivative is not surjective. In the first part of the paper we pursue an approach based on the constructions of the p-regularity theory. For p-regular calculus of variations problem we formulate and prove necessary and sufficient conditions for optimality in singular case and illustrate our results by classical example of calculus of variations problem.
Źródło:: Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2010, 30, 2; 269-279
1509-9407
Pojawia się w:: Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: On existence of solutions to degenerate nonlinear optimization problems
Autorzy:: Prusińska, Agnieszka
Tret'yakov, Alexey
Powiązania:: https://bibliotekanauki.pl/articles/729423.pdf
Data publikacji:: 2007
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:: Lagrange function
necessary condition of optimality
p-regularity
contracting mapping
p-factor operator
Opis:: We investigate the existence of the solution to the following problem
min φ(x) subject to G(x)=0,
where φ: X → ℝ, G: X → Y and X,Y are Banach spaces. The question of existence is considered in a neighborhood of such point x₀ that the Hessian of the Lagrange function is degenerate. There was obtained an approximation for the distance of solution x* to the initial point x₀.
Źródło:: Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2007, 27, 1; 151-164
1509-9407
Pojawia się w:: Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

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

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