Convergence of Halley's method under centered Lipschitz condition on the second Fréchet derivative

Convergence of Halley's method under centered Lipschitz condition on the second Fréchet derivative

Show other versions (1)

We present a semi-local as well as a local convergence analysis of Halley's method for approximating a locally unique solution of a nonlinear equation in a Banach space setting. We assume that the second Fréchet-derivative satisfies a centered Lipschitz condition. Numerical examples are us...

Full description

Bibliographic Details
Main Authors: Ioannis K. Argyros, Hongmin Ren
Format: Article
Language:English
Published: Publishing House of the Romanian Academy 2013-02-01
Series:Journal of Numerical Analysis and Approximation Theory
Subjects:
Halley's method
Fréchet-derivative
Banach space
semi-local convergence
Frechet derivative
centered Lipschitz condition
Online Access:https://ictp.acad.ro/jnaat/journal/article/view/979

Similar Items

Similar Items