Newton Raphson Method C Program

By | June 22, 2017
 

Let us learn how to implement Newton Raphson method in C programming with its explanation, advantages, output and much more.

What is Newton-Raphson’s Method?

The newton raphson algorithm is one of the most popular root-finding methods. So, it is basically used to find roots of a real-valued function.

This method is named after Isaac Newton and Joseph Raphson and is used to find a minimum or maximum of a function.

The Newton’s method is a better approximation method as compared to some other numerical methods. It is based on the idea of simple linear approximation.

This is a one-point method since it requires only one starting value and does not need to satisfy any other serious conditions.

Newton-Raphson Formula

Formula for Newton-Raphson Method

Newton-Raphson Algorithm

Flowchart For Newton – Raphson Method

Newton Raphson Method Flowchart in Numerical Methods

Advantages of Newton Raphson Method

  • The number of significant digits doubles after every iteration which brings us more closer to the root.
  • The Newton – Raphson method converges faster than Bisection method and False Position Method.
  • This method converges quadratically on the root which enables this algorithm to deal with the higher degree of variable involved.

Note: This C program for Newton – Raphson method in numerical analysis is compiled with GNU GCC compiler using CodeLite IDE on Microsoft Windows 10 operating system.

   

C Program For Newton Raphson Method

   

Output

C Program For Newton Raphson Method in Numerical Methods

If you have any doubts about the implementation of Newton Raphson rule formula in C programming, let us know about it in the comment section. Find more about it on Wikipedia.

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