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PDF | An implicit function theorem and a resulting modified Newton-Raphson method for roots of functions between finite dimensional spaces, without | Find The Newton-Raphson method uses an iterative process to approach one root of You may also consider operating the process on the function f(x) = x1/3, using We use the Newton Method to approximate a solution of this equation. Let x0 be our initial estimate of the root, and let xn be the n-th improved estimate. employed to stabilize Newton's method to pathological function behavior. NM is compared to. GAs and to the simplex evolutionary operation algorithm (EVOP). With this method you can get a little good approximation. $sqrt{5}simeq2.2360679$. Also, you can use Newton-Raphson's method: $x_{n+1}=x_n-rac{f(x_n Apr 21, 2017 - Maximum likelihood calculations using the Newton–Raphson method are generally to outline the method here in enough generality to serve as stand-alone instruction in In Handbook of Geophysical Exploration: Seismic Exploration, 2001 It is almost impossible to do these cumbersome arithmetic operations manually. among various algorithms like Bisection, Regula– Falsi, Newton–Raphson,