Wegstein's Method

Wegstein Method for finding roots, accelerating fixed point iteration, and inducing convergence in fixed point iteration. Explained examples and discussion of order as well as how to compute q. Example code: https://github.com/osveliz/numerical-veliz

Chapters
0:00 Intro
0:22 Wegstein's Method Sources
0:52 Wegstein's Methodology
1:56 Wegstein's Method Examples
3:24 Computing q
4:55 Computing q example
5:24 Updating q
5:43 Updating q example
6:03 Computational Order
6:36 Oscar's Notes
7:13 Thank You

See Video Mistakes II: The Sequel https://youtu.be/YEUbzqkJBf0 for a small error and correction.

Suggestions for further watching:
Fixed Point Iteration: https://youtu.be/OLqdJMjzib8
Steffensen's Method with Aitken's Δ²: https://youtu.be/BTYTj0r5PZE
Fixed Point Iteration Q&A https://youtu.be/FyCviw2ZA2o

References:
Wegstein's original paper: https://dl.acm.org/citation.cfm?id=368871
Gutzler's thesis: https://ir.library.oregonstate.edu/downloads/2r36v1962

#WegsteinsMethod #NumericalAnalysis

Видео Wegstein's Method канала Oscar Veliz