[HTML][HTML] An optimal eighth order derivative free multiple root finding numerical method and applications to chemistry

F Zafar, A Cordero, I Ashraf, JR Torregrosa - Journal of Mathematical …, 2023 - Springer
In this paper, we present an optimal eighth order derivative-free family of methods for
multiple roots which is based on the first order divided difference and weight functions. This …

[HTML][HTML] Efficient Fourth-Order Scheme for Multiple Zeros: Applications and Convergence Analysis in Real-Life and Academic Problems

S Kumar, R Behl, A Alrajhi - Mathematics, 2023 - mdpi.com
High-order iterative techniques without derivatives for multiple roots have wide-ranging
applications in the following: optimization tasks, where the objective function lacks explicit …

[PDF][PDF] Another sixth-order iterative method free from derivative for solving multiple roots of a nonlinear equation

R Qudsi, M Imran - Applied Mathematical Sciences, 2017 - academia.edu
A three-step iterative method with sixth-order convergence as another modification of
Newton Method was showed. We approximate them with a central difference and divided …

New Higher Order Iterative Method for Multiple Roots of Nonlinear Equations

S Panday, WH Chanu, YN Devi - … Conference on Frontiers in Industrial and …, 2021 - Springer
In this paper, we propose a new higher order iterative method to find multiple roots of
nonlinear equations. The combination of Taylor's series, Newton's method and the …