A SIMPLE AND EFFICIENT ROOT-FINDING ALGORITHM FOR DEALING WITH SCALAR NONLINEAR EQUATIONS: ITERATIVE PROCEDURE BASED ON GEOMETRIC CONSIDERATIONS

In this study, we present a simple and efficient root-finding algorithm for approximating the solution of scalar nonlinear equations. The proposed iterative scheme is based on geometric considerations using only the first-order derivative associated with the nonlinear function in question. The predictive capabilities of this numerical procedure for providing an accurate approximate solution associated with a nonlinear equation are tested, assessed and discussed on some examples.