An Efficient Sixth-Order Newton-Type Method for Solving Nonlinear Systems

Author:

Wang XiaofengORCID,Li Yang

Publisher

MDPI AG

Subject

Computational Mathematics,Computational Theory and Mathematics,Numerical Analysis,Theoretical Computer Science

Reference21 articles.

1. Solving Nonlinear Equations with Newton’s Method;Kelley,2003

2. Iterative Solution of Nonlinear Equations in Several Variables;Ortega,1970

3. Iterative methods of order four and five for systems of nonlinear equations

4. Increasing the convergence order of an iterative method for nonlinear systems

5. On the approximation of derivatives using divided difference operators preserving the local convergence order of iterative methods;Sánchez;J. Comput. Appl. Math.,2013

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2. New robust hybrid Jarratt-Butterfly optimization algorithm for nonlinear models;Journal of King Saud University - Computer and Information Sciences;2022-11

3. An extended radius of convergence comparison between two sixth order methods under general continuity for solving equations;Advances in the Theory of Nonlinear Analysis and its Application;2022-09-30

4. Construction and Dynamics of Efficient High-Order Methods for Nonlinear Systems;International Journal of Computational Methods;2022-06-13

5. On the effect of the multidimensional weight functions on the stability of iterative processes;Journal of Computational and Applied Mathematics;2022-05

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