Newton Raphson Method Formula
In the general form, the Newton-Raphson method formula is written as follows:
xn = xn-1 – f(xn-1)/f'(xn-1)
Where,
- xn-1 is the estimated (n-1)th root of the function,
- f(xn-1) is the value of the equation at (n-1)th estimated root, and
- f'(xn-1) is the value of the first order derivative of the equation or function at xn-1.
Newton Raphson Method
Newton Raphson Method or Newton Method is a powerful technique for solving equations numerically. It is most commonly used for approximation of the roots of the real-valued functions. Newton Rapson Method was developed by Isaac Newton and Joseph Raphson, hence the name Newton Rapson Method.
Newton Raphson Method involves iteratively refining an initial guess to converge it toward the desired root. However, the method is not efficient to calculate the roots of the polynomials or equations with higher degrees but in the case of small-degree equations, this method yields very quick results. In this article, we will learn about Newton Raphson Method and the steps to calculate the roots using this method as well.
Table of Content
- What is Newton Raphson Method?
- Newton Raphson Method Formula
- Newton Raphson Method Calculation
- Convergence of Newton Raphson Method
- Articles related to Newton Raphson Method:
- Newton Raphson Method Example
- Solved Problems of Newton Raphson Method
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