Newton-isolate all the roots of modulus greater than 1.
Newton isolating the roots means to compute approximations 
to
the roots 
, 
such that 
for any 
. In this way Newton's iteration applied to converges
quadratically right from the start to , i.e., for the approximation
obtained after k Newton's
steps with 
, it holds
(compare P. Tilli, Convergence conditions of some methods for the
simultaneous computation of polynomial zeros, Calcolo 1996).