Convergence and Stability of a Parametric Class of Iterative Schemes for Solving Nonlinear Systems

Convergence and Stability of a Parametric Class of Iterative Schemes for Solving Nonlinear Systems

A new parametric class of iterative schemes for solving nonlinear systems is designed. The third- or fourth-order convergence, depending on the values of the parameter being proven. The analysis of the dynamical behavior of this class in the context of scalar nonlinear equations is presented. This s...

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Bibliographic Details
Main Authors: Alicia Cordero, Eva G. Villalba, Juan R. Torregrosa, Paula Triguero-Navarro
Format: Article
Language:English
Published: MDPI AG 2021-01-01
Series:Mathematics
Subjects:
nonlinear system
iterative method
divided difference operator
stability
parameter plane
dynamical plane
Online Access:https://www.mdpi.com/2227-7390/9/1/86

Internet

https://www.mdpi.com/2227-7390/9/1/86

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