Understood that there's a vast literature on all this.

But what simple and correct statements can we make to help users understand what allroots does?

​​For example, could we say that for polynomials of degree < 20 and some characteristic of the coefficients, or of the roots, abs(calcroot-trueroot) < xxx?

On Mon, Jul 7, 2014 at 7:20 PM, Richard Fateman <fateman@berkeley.edu> wrote:
mcnamee has an enormous bibliography on this topic.  Also see

http://books.google.com/books/about/Numerical_Methods_for_Roots_of_Polynomia.html?id=j0rY3D9fx-0C