- Tytuł:
- A new Kantorovich-type theorem for Newtons method
- Autorzy:
- Argyros, Ioannis
- Powiązania:
- https://bibliotekanauki.pl/articles/1338842.pdf
- Data publikacji:
- 1999
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
Newton's method
Lipschitz-Hölder condition
Kantorovich hypothesis
Banach space - Opis:
- A new Kantorovich-type convergence theorem for Newton's method is established for approximating a locally unique solution of an equation F(x)=0 defined on a Banach space. It is assumed that the operator F is twice Fréchet differentiable, and that F', F'' satisfy Lipschitz conditions. Our convergence condition differs from earlier ones and therefore it has theoretical and practical value.
- Źródło:
-
Applicationes Mathematicae; 1999, 26, 2; 151-157
1233-7234 - Pojawia się w:
- Applicationes Mathematicae
- Dostawca treści:
- Biblioteka Nauki
Artykuł