Laguerre's Method

Laguerre's method for finding real and complex roots of polynomials. Includes history, derivation, examples, and discussion of the order of convergence as well as visualizations of convergence behavior. Example code available on github https://www.github.com/osveliz/numeri... Chapters 00:00 Intro 00:20 Sources 00:44 Derivation 03:08 Laguerre's Method 03:52 K. A. Redish 04:13 Visuzliation 05:24 Forman S. Acton 06:05 Example 07:04 Example 2 07:43 Example 3 08:01 Convergence 8:35 Laguerre Fractal 10:05 Summary 10:34 Thank You Further Viewing: Newton's Method    • Newton's Method   Horner's Method    • Horner's Method   Newton Fractals    • Newton Fractals   Aberth-Ehrlich Method    • Aberth-Ehrlich Method   Halley's Method and Fractal    • Halley's Method   Householder's Method and Fractal    • Householder's Method   Bairstow's Method    • Bairstow's Method   Reference Links: "Racines d'une Équation Algébrique" by Laguerre https://babel.hathitrust.org/cgi/pt?i... "On Laguerre's Method" by K. A. Redish https://www.tandfonline.com/doi/abs/1... "Numerical Methods That Work" by Forman S. Acton https://books.google.com/books?id=cGn...