Abstract –Newton-Steffensen method is one of numerical method for finding root of nonlinear equation. This method is modified method from Newton-Raphson method. The purpose of this research is to review the iteration formula, compile the algorithm, and analyze the order of convergence. This research is theoretical research. Which is a literature study based on the relevant sources. Based on the result, the algorithm applied to a computer program. The order of convergence of Newton-Steffensen method is three so the method is faster than Newton-Raphson method.
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