Fixed Point Iteration

A playlist of all videos related to Fixed Point Iteration can be found here

Roots of a Function

There are two videos covering Fixed Point Iteration for finding the root of a single equation. The Original and the Q&A. The topic is also expanded upon in Steffensen's Method with Aitken's Δ² (code: here documentation: here) and Wegstein's Method (code: here documentation: here).

Solving Systems of Equations

Solving linear and nonlinear systems with Fixed Point Iteration is discussed in this video with code located in FixedPointAitkenSteffensen.rs. For reference see "Elements of Numerical Analysis" by Peter Henrici. The video covering Generalized Aitken-Steffensen also uses the same code. This program is written in Rust and can be run online via CodingGround. To compile and run locally have Rust installed and in your Path setup then using the command line in the same directory where you've saved the program type rustc FixedPointAitkenSteffensen.rs and then ./FixedPointAitkenSteffensen.