1 / 5

Polynomiography

Polynomiography. w ith Dr. Bahman Kalantari. What is polynomiography ?. Dr. Kalantari informally defines polynomiography as a certain graph of polynomials

jenna-burt
Télécharger la présentation

Polynomiography

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Polynomiography with Dr. BahmanKalantari

  2. What is polynomiography? • Dr. Kalantari informally defines polynomiography as a certain graph of polynomials • He formally defines it as  the art and science of visualization in approximation of the zeros of complex polynomials, via fractal and non-fractal images created using the mathematical convergence properties of iteration functions

  3. SLOW DOWN! • First of all, what’s an iteration function? • Newton’s Method is an example:N(z) = z − p(z)/p’(z) • Iteration functions are used to determine which points will eventually map to the roots of the function being analyzed, essentially the objective of polynomiography

  4. The Result, the Objective • By producing a graph of these regions of convergence, or polynomiograph, we can represent functions is a new way: VS

  5. The Case of z3-1

More Related