On the Accessibility of Newton’s Method under a Hölder Condition on the First Derivative

On the Accessibility of Newton’s Method under a Hölder Condition on the First Derivative

We see how we can improve the accessibility of Newton’s method for approximating a solution of a nonlinear equation in Banach spaces when a center Hölder condition on the first derivative is used to prove its semi-local convergence.

Bibliographic Details
Main Authors: José Antonio Ezquerro, Miguel Ángel Hernández-Verón
Format: Article
Language:English
Published: MDPI AG 2015-07-01
Series:Algorithms
Subjects:
Newton’s method
semi-local convergence
recurrence relations
domain of parameters
nonlinear system
Online Access:http://www.mdpi.com/1999-4893/8/3/514

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