Fixed Point Method Intuition

Let’s talk about the fixed point iteration method, in particular the intuition behind the fixed point method. The fixed point method is an open-root finding method much like some other methods we have learned (Newton’s Method). We find are essentially setting up two functions that when equal will meet at a point in space directly above the root of our function.

This timeline is meant to help you better understand the Fixed Point Method Intuition: 0:00 Introduction. 0:05 What is the fixed-point method? 0:48 Fixed point method intuition 3:08 Outro

Relevant Numerical Methods Playlists: Numerical Methods Playlist: https://www.youtube.com/watch?v=F2NWYEOHIkc&list=PLDea8VeK4MUTOBXLpvx_WKtVrMkojEh52 Numerical Methods Examples Playlist: https://www.youtube.com/watch?v=UA7bzwCwHMI&list=PLDea8VeK4MUTxZGOTG-VNnW4T3TYwlEc9

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This video is part of our Numerical Methods course. Numerical methods is about solving math problems through approximating the solution of problems that would be difficult or impossible to solve analytically. In this playlist we will cover topics such as solving systems of linear equations, solving systems of non-linear equations, numerical integration, numerical derivatives, etc.. ... https://www.youtube.com/watch?v=84QsFwVVoGU