Local convergence theorems for Newton's method from data at one point

• Autorzy: Ioannis K. Argyros
• Języki publikacji: EN

Abstrakty

EN

We provide local convergence theorems for the convergence of Newton's method to a solution of an equation in a Banach space utilizing only information at one point. It turns out that for analytic operators the convergence radius for Newton's method is enlarged compared with earlier results. A numerical example is also provided that compares our results favorably with earlier ones.

Kategorie tematyczne

• 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

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2002
• Tom: 29
• Numer: 4
• Strony: 481-486

Daty

wydano

2002

Twórcy

autor

Ioannis K. Argyros

• Department of Mathematics, Cameron University, Lawton, OK 73505, U.S.A.

Identyfikatory

DOI

10.4064/am29-4-7