Updating to Optimal Parametric Values by Memory-Dependent Methods: Iterative Schemes of Fractional Type for Solving Nonlinear Equations

Updating to Optimal Parametric Values by Memory-Dependent Methods: Iterative Schemes of Fractional Type for Solving Nonlinear Equations

In the paper, two nonlinear variants of the Newton method are developed for solving nonlinear equations. The derivative-free nonlinear fractional type of the one-step iterative scheme of a fourth-order convergence contains three parameters, whose optimal values are obtained by a memory-dependent upd...

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Bibliographic Details
Main Authors: Chein-Shan Liu, Chih-Wen Chang
Format: Article
Language:English
Published: MDPI AG 2024-03-01
Series:Mathematics
Subjects:
nonlinear equation
nonlinear perturbation of Newton method
fractional type iterative schemes
multi-step iterative scheme
memory-dependent method
Online Access:https://www.mdpi.com/2227-7390/12/7/1032

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