## The Newton - Raphson Method

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The Script Provides a demonstration of the "Newton - Raphson Method" , to solve various polynomial and transcendental equations

Updated Tue, 02 Oct 2018 12:25:03 +0000

"The Newton - Raphson Method" uses one initial approximation to solve a given equation y = f(x).In this method the function f(x) , is approximated by a tangent line, whose equation is found from the value of f(x) and its first derivative at the initial approximation.

The tangent line then intersects the X - Axis at second point. This second point is again used as next approximation to find the third point.

The script proceeds in the same way and performs upto 100 iterations. The Accuracy required
(required no. of decimal places) is taken as input from the user. The error between solutions of each iteration is checked every time and if found less than required accuracy, the iterations are stopped.

### Cite As

अंबरीश प्रशांत चांदूरकर Ambarish Prashant Chandurkar (2022). The Newton - Raphson Method (https://www.mathworks.com/matlabcentral/fileexchange/68885-the-newton-raphson-method), MATLAB Central File Exchange. Retrieved .

##### MATLAB Release Compatibility
Created with R2018b
Compatible with any release
##### Platform Compatibility
Windows macOS Linux