Enhancing the Convergence Order from <i>p</i> to <i>p</i> + 3 in Iterative Methods for Solving Nonlinear Systems of Equations without the Use of Jacobian Matrices

Enhancing the Convergence Order from <i>p</i> to <i>p</i> + 3 in Iterative Methods for Solving Nonlinear Systems of Equations without the Use of Jacobian Matrices

In this paper, we present an innovative technique that improves the convergence order of iterative schemes that do not require the evaluation of Jacobian matrices. As far as we know, this is the first technique that allows us the achievement of an increase, from <i>p</i> to <inline-fo...

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Bibliographic Details
Main Authors: Alicia Cordero, Miguel A. Leonardo-Sepúlveda, Juan R. Torregrosa, María P. Vassileva
Format: Article
Language:English
Published: MDPI AG 2023-10-01
Series:Mathematics
Subjects:
iterative methods
nonlinear systems
local convergence
Jacobian-free scheme
Online Access:https://www.mdpi.com/2227-7390/11/20/4238

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