On the convergence and application of Stirling's method

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

Abstrakty

EN

We provide new sufficient convergence conditions for the local and semilocal convergence of Stirling's method to a locally unique solution of a nonlinear operator equation in a Banach space setting. In contrast to earlier results we do not make use of the basic restrictive assumption in [8] that the norm of the Fréchet derivative of the operator involved is strictly bounded above by 1. The study concludes with a numerical example where our results compare favorably with earlier ones.

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

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2003
• Tom: 30
• Numer: 1
• Strony: 109-119

Daty

wydano

2003

Twórcy

autor

Ioannis K. Argyros

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

Identyfikatory

DOI

10.4064/am30-1-7