Newton-Raphson method | Animated and explained | Algorithm for finding roots of a function

The Newton-Raphson method or Newton-Raphson algorithm is a way to numerically determine the roots of some function. It relies on an initial guess where a root of the function might be and then gives an iterative process to find the root. Choosing different starting points one can find all the roots of the function. The algorithm works for real and complex functions.
The animation in the first half of the video was created using the manim mathematical animation library by 3Blue1Brown: https://github.com/3b1b/manim
The zoom into the Newton fractal was made using fortran and animated in gnuplot.

The font used in the video is called Inconsolata by Raph Levien. It's a beautiful monospaced font and if you do any programming at all and are looking for a different font style for your editor you might want to check out his website: https://levien.com/type/myfonts/inconsolata.html

Видео Newton-Raphson method | Animated and explained | Algorithm for finding roots of a function канала MathAndPhysics