A New High-Order Jacobian-Free Iterative Method with Memory for Solving Nonlinear Systems

A New High-Order Jacobian-Free Iterative Method with Memory for Solving Nonlinear Systems

We used a Kurchatov-type accelerator to construct an iterative method with memory for solving nonlinear systems, with sixth-order convergence. It was developed from an initial scheme without memory, with order of convergence four. There exist few multidimensional schemes using more than one previous...

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Bibliographic Details
Main Authors: Ramandeep Behl, Alicia Cordero, Juan R. Torregrosa, Sonia Bhalla
Format: Article
Language:English
Published: MDPI AG 2021-09-01
Series:Mathematics
Subjects:
nonlinear systems of equations
iterative methods
acceleration of convergence
efficiency
stability
Online Access:https://www.mdpi.com/2227-7390/9/17/2122

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