Newsgroups: sci.math
From: mapjaa@bath.ac.uk (J A Abbott)
Subject: Re: Polynomials with roots of norm one (partial answer)
Date: Fri, 1 Dec 1995 10:40:30 GMT

Dave Rusin <rusin@washington.math.niu.edu> wrote:
> There is a method of estimating the roots of a polynomial which is based on
> successive squaring of the roots until the ones of smaller magnitude
> become insignificant. (If I remember correctly, this is the one attributed
> to a Frenchman known only as "M. Vincent".)
I too have known of this only as Graeffe's method.  The name M. Vincent rings
no bells.

Russell Bradford (rjb@maths.bath.ac.uk) wrote a short paper on how to
test if a polynomial with integer coefficients is a product of cyclotomic
polynomials [I think the polynomial was assumed to be square-free].  This
may be of use to the initiator of this thread.

John.