Newton Bisection Hybrid (Newt-Safe)

Описание: Newton Bisection Hybrid Method for root finding. Example code available at https://www.github.com/osveliz/numeri...

Chapters
0:00 Intro
0:26 Viewer Request
0:49 Numerical Recipes
1:12 Numerical Methods That Work
1:54 Motivation Examples
3:04 Problems with Newton Recap
3:17 Newt-Safe Basic Algorithm
4:00 Newt-Safe Basic Examples
4:53 Additional Conditions
5:39 ΔX Condition Explanation
6:33 ΔX Example
7:18 Newt-Safe without Interval
7:55 Other Hybrid Methods
8:33 Notes and Summary
8:57 Thank You

Correction: The bracket size test at 5:26 used DeltaX which should be DeltaX_old. A video covering this mistake can be found here    • Video Mistakes and How to Fix Them  


Further Viewing:
Bisection Method    • Bisection Method  
Newton's Method    • Newton's Method  
Newton's Method Interval of Convergence    • Newton's Method Interval of Convergence  
Newton Fractal    • Newton Fractals  
Halley's Method    • Halley's Method  
Householder's Method    • Householder's Method  

Reference Links:
Based of off NewtSafe from Marc Spiegelman https://www.ldeo.columbia.edu/~mspieg...
rtsafe from Numerical Recipes http://numerical.recipes/
Numerical Methods That Work by Forman S. Acton https://books.google.com/books?id=cGn...

#BisectionMethod #NewtonsMethod #NumericalAnalysis