Geodesic
A family of hybrid derivative-free methods via acceleration parameter for solving system of nonlinear equations
Filomat, Tome 37 (2023) no. 5, p. 1461

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DOI

In this paper, we present some derivative-free methods for solving system of nonlinear equations based on approximating the Jacobian matrix via acceleration and correction parameters. Furthermore, we compute the step length using inexact line search procedure. Under appropriate conditions, we proved that the proposed methods are globally. We also present some numerical results to show the efficiency of the proposed methods by comparing them with some existing derivative-free methods in the recent literature.
DOI : 10.2298/FIL2305461W
Classification : 65K05, 90C30, 90C53
Keywords: system of nonlinear equations, Newton method, Derivative-free method, hybrid approach, Global convergence 
Mohammed Yusuf Waziri; Usman Muhammad; Abubakar Sani Halilu; Kabiru Ahmed. A family of hybrid derivative-free methods via acceleration parameter for solving system of nonlinear equations. Filomat, Tome 37 (2023) no. 5, p. 1461 . doi: 10.2298/FIL2305461W
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     title = {A family of hybrid derivative-free methods via acceleration parameter for solving system of nonlinear equations},
     journal = {Filomat},
     pages = {1461 },
     year = {2023},
     volume = {37},
     number = {5},
     doi = {10.2298/FIL2305461W},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2305461W/}
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