Czasopismo
Tytuł artykułu
Autorzy
Warianty tytułu
Języki publikacji
Abstrakty
We present a local and a semilocal analysis for Newton-like methods in a Banach space. Our hypotheses on the operators involved are very general. It turns out that by choosing special cases for the "majorizing" functions we obtain all previous results in the literature, but not vice versa. Since our results give a deeper insight into the structure of the functions involved, we can obtain semilocal convergence under weaker conditions and in the case of local convergence a larger convergence radius.
Słowa kluczowe
Kategorie tematyczne
- 49M15: Newton-type methods
- 65N30: Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods
- 65N35: Spectral, collocation and related methods
- 65G99: None of the above, but in this section
- 65J15: Equations with nonlinear operators (do not use )
- 65B05: Extrapolation to the limit, deferred corrections
Czasopismo
Rocznik
Tom
Numer
Strony
359-369
Opis fizyczny
Daty
wydano
2002
Twórcy
autor
- Department of Mathematics, Cameron University, Lawton, OK 73505, U.S.A.
Bibliografia
Typ dokumentu
Bibliografia
Identyfikatory
DOI
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-doi-10_4064-am29-3-7