An interval method for finding a polynomial factor on an analytic function f(z) is proposed. By using a Samelson-like method recursively, we obtain a sequence of polynomials that converges To a factor p~*(z) of f(z) if an initial approximate factor p(z) is sufficiently close to p~*(z). This method Includes some well known iterative formulae, and has a close relation to a rational approximation. According to this factoring method, a fixed point relation for p~*(z) is derived. Based on this relation, We obtain a polynomial with complex interval coefficients that includes p~*(z).
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