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

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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...

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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

Internet

https://ictp.acad.ro/jnaat/journal/article/view/979

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