A SIMPLE AND EFFICIENT ROOT-FINDING ALGORITHM FOR DEALING WITH SCALAR NONLINEAR EQUATIONS: ITERATIVE

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.

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#Scalarnonlinearequations #rootfindingiterativealgorithm #Newtonsalgorithm #substepsiterativescheme #geometricapproach