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

In this paper, we show how to approximate the solution of scalar nonlinear equations using a simple and efficient root-finding approach. Only the first-order derivative associated with the nonlinear function in issue is used in the suggested iterative technique, which is based on geometric considerations. On several examples, the numerical procedure's predictive capabilities for providing an accurate approximation solution connected with a nonlinear equation are evaluated, assessed, and discussed.

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