A Family of Hybrid Derivative-free methods via Acceleration parameter for Solving System of Nonlinear Equations

Abstract

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 in-
exact line search procedure. Under appropriate conditions, we proved that the
proposed methods are globally convergent under mild conditions. We also present
some numerical results to show the eciency of the proposed methods by com-
paring them with some existing derivative-free methods existing in the previous
literature.