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In lecture 3 of Numerical analysis and methods | Math for AI - ML - Engineering, we talk about the newtons method and give an intuitive explanation on why it works. MATLAB implementation of newton method is also given along the way. This lecture is outlined as follows:
Chapters
00:00 Intro
00:30 Newton method
04:58 Conditions on Newton method
06:23 MATLAB implementation of Newton Method
10:33 Newton Method Validation on MATLAB
15:51 Beware multiple roots
19:47 Outro
Lecture notes with detailed MATLAB code are on my website 👉 https://bazziahmad.com/2021/11/14/newtonmethod/
Note: The MATLAB code could easily be used in Python. Minimal changes could be done. The code is open-source with detailed explanation found within the shared link. Newton method is a popular recursive techniques to estimate zeros or roots to almost any given equation, with linear convergence.
Previous lectures:
Lecture 2: Bisection Method | https://youtu.be/_-hYA3poEfE
Lecture 1: Fixed Point Method | https://youtu.be/0umMu9bZkNo
#NewtonMethod #NumericalAnalysis #NumericalMethods