A Class of Sixth-Order Iterative Methods for Solving Nonlinear Systems: The Convergence and Fractals of Attractive Basins

A Class of Sixth-Order Iterative Methods for Solving Nonlinear Systems: The Convergence and Fractals of Attractive Basins

In this paper, a Newton-type iterative scheme for solving nonlinear systems is designed. In the process of proving the convergence order, we use the higher derivatives of the function and show that the convergence order of this iterative method is six. In order to avoid the influence of the existenc...

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Bibliographic Details
Main Authors: Xiaofeng Wang, Wenshuo Li
Format: Article
Language:English
Published: MDPI AG 2024-02-01
Series:Fractal and Fractional
Subjects:
iterative method
nonlinear system
Banach space
local convergence
attractive basin
fractal
Online Access:https://www.mdpi.com/2504-3110/8/3/133

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