A Study of Convergence of Sixth-Order Contraharmonic-Mean Newton’s Method (CHN) with Applications and Dynamics

A Study of Convergence of Sixth-Order Contraharmonic-Mean Newton’s Method (CHN) with Applications and Dynamics

We develop the local convergence of the six order Contraharmonic-mean Newton’s method (CHN) to solve Banach space valued equations. Our analysis approach is two fold: The first way uses Taylor’s series and derivatives of higher orders. The second one uses only the first derivatives. We examine the t...

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Bibliographic Details
Main Authors: Manoj K. Singh, Ioannis K. Argyros, Samundra Regmi
Format: Article
Language:English
Published: MDPI AG 2024-01-01
Series:Foundations
Subjects:
Newton’s method
local convergence
convergence order
fractal
basins of attraction
Online Access:https://www.mdpi.com/2673-9321/4/1/5

Internet

https://www.mdpi.com/2673-9321/4/1/5

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