Jeroen Demeyer on Tue, 16 Dec 2014 12:02:55 +0100

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Isolating a root of a polynomial

Hello pari-dev,

I am wondering if there is an algorithm (preferably implemented in PARI) which can isolate a complex root of a given polynomial?

The typical use case is that I have a polynomial for which I know one approximate root and I want to find a complex interval around that root which contains no other roots. The point is that I need to do this for just one root, not all roots of the given polynomial.

The input polynomial has exact (t_INT or t_FRAC) coefficients.