Modification of Newton-Househölder Method for Determining Multiple Roots of Unknown Multiplicity of Nonlinear Equations

Modification of Newton-Househölder Method for Determining Multiple Roots of Unknown Multiplicity of Nonlinear Equations

In this study, we propose an extension of the modified Newton-Househölder methods to find multiple roots with unknown multiplicity of nonlinear equations. With four functional evaluations per iteration, the proposed method achieves an optimal eighth order of convergence. The higher the convergence o...

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Bibliographic Details
Main Authors: Syahmi Afandi Sariman, Ishak Hashim, Faieza Samat, Mohammed Alshbool
Format: Article
Language:English
Published: MDPI AG 2021-04-01
Series:Mathematics
Subjects:
iteration method
multiple root
nonlinear equation
optimal convergence order
Online Access:https://www.mdpi.com/2227-7390/9/9/1020

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