The Use of Interval Arithmetic to Bound the Zeros of Real Polynomials
D. W. ARTHUR · IMA Journal of Applied Mathematics · 1972
This paper discusses the problem of bounding the zeros of a real polynomial. Champagne's results in this field are given, and then Moore's extension of the Newton-Raphson Process for interval arithmetic. Methods are then presented to deal with the cases of complex zeros and multiple zeros, for which the Newton-Raphson-Moore Method is not applicable.