Design, Convergence and Stability of a Fourth-Order Class of Iterative Methods for Solving Nonlinear Vectorial Problems

Design, Convergence and Stability of a Fourth-Order Class of Iterative Methods for Solving Nonlinear Vectorial Problems

A new parametric family of iterative schemes for solving nonlinear systems is presented. Fourth-order convergence is demonstrated and its stability is analyzed as a function of the parameter values. This study allows us to detect the most stable elements of the class, to find the fractals in the bou...

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Bibliographic Details
Main Authors: Alicia Cordero, Cristina Jordán, Esther Sanabria-Codesal, Juan R. Torregrosa
Format: Article
Language:English
Published: MDPI AG 2021-09-01
Series:Fractal and Fractional
Subjects:
nonlinear systems
iterative methods
convergence
stability
discrete dynamics
Online Access:https://www.mdpi.com/2504-3110/5/3/125

Internet

https://www.mdpi.com/2504-3110/5/3/125

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