Ball convergence for an Aitken-Newton method

Ball convergence for an Aitken-Newton method

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We present a local convergence analysis of an eighth-order Aitken-Newton method for approximating a locally unique solution of a nonlinear equation. Earlier studies have shown convergence of these methods under hypotheses up to the eighth derivative of the function although only the first derivativ...

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Bibliographic Details
Main Authors: Ioannis K. Argyros, Munish Kansal, Vinay Kanwar
Format: Article
Language:English
Published: Publishing House of the Romanian Academy 2018-12-01
Series:Journal of Numerical Analysis and Approximation Theory
Subjects:
Nonlinear equations
Aitken-Newton method
local convergence
eighth order of convergence
Online Access:https://ictp.acad.ro/jnaat/journal/article/view/1082

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