python program newton raphson method
Download this code from https://codegive.com
Title: A Step-by-Step Guide to Implementing the Newton-Raphson Method in Python
Introduction:
The Newton-Raphson method is an iterative numerical technique used for finding the roots of a real-valued function. It's particularly useful for solving nonlinear equations and optimization problems. In this tutorial, we'll explore the Newton-Raphson method and implement it in Python with a practical example.
Understanding the Newton-Raphson Method:
The Newton-Raphson method involves updating an initial guess iteratively to approach the root of a function. It is based on the idea that a good approximation of the root can be obtained by refining the estimate using the function's derivative.
The iterative formula is given by:
x
n+1
=x
n
−
f
′
(x
n
)
f(x
n
)
Where:
Python Implementation:
Let's implement the Newton-Raphson method in Python. We'll create a function named newton_raphson that takes the target function, its derivative, an initial guess, and a tolerance as parameters.
Explanation:
Conclusion:
The Newton-Raphson method is a powerful technique for finding roots of functions. This tutorial provides a Python implementation along with an example to help you apply the method to your specific problems. Experiment with different functions and initial guesses to gain a better understanding of the method's behavior.
ChatGPT
