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Hybridization of multi-step iterative process with double direction method for solving a system of nonlinear equations and application to motion control

Article scientifique 2023 Anglais

Résumé

Abstract This article presents a multi-step algorithm for solving a system of nonlinear equations using a double direction approach with application to motion control. In order to offer a useful derivative-free technique, the acceleration parameter is calculated to rougthly approximate the Jacobian matrix. With the aid of an inexact line search approach, the step-length was calculated. In addition, the proposed method is proving to be globally convergent under some appropriate conditions. Numerical experiment for some large-scale benchmark test problems reported in 1 this article shows the efficiency of the suggested methods compared with the current methods in the literature.

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Waziri, M., Bala, N., Halilu, A. (2023). Hybridization of multi-step iterative process with double direction method for solving a system of nonlinear equations and application to motion control. https://doi.org/10.21203/rs.3.rs-3512228/v1

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Auteur(s)

Muhammed Yusuf Waziri Naziru Idris Bala Abubakar Sani Halilu

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