I'm looking for any numerical method that finds roots of polynomials but that doesn't use derivatives. I'm intent present to secondary students a way to show fractals associated in search of roots. Anybody have suggestions?
Hi Dr. Silva,
How about the Bisection Method? I tend to use the simple BM (manual) to quickly estimate the root(s) when I don't have access to the computational tools. 😉
Sorry, maybe I was not clear in my question! I am also interested in finding complex roots. Therefore, the bisection method, the secant method, and the Regula Falsi method cannot be used. For example to p(z)=z^4 - 2z^3 - 2z^2 + 8z - 8 we have the zeros -2, 2, 1+i and 1-i, but we don't find the complex roots with those methods.
Hi Dr. Valdelírio Silva,
Sorry, I'm not a number theorist, but there are many algorithms listed on this Wiki page. It is worthwhile to take a look.
https://en.wikipedia.org/wiki/Root-finding_algorithm
Valdelírio Silva check this article:
https://www.iasj.net/iasj?func=fulltext&aId=41098
- Badges
- Science topic