Abstract
We investigate the deviation of the zeros of a polynomial. The deviation grows with the nth root of the perturbation of the polynomial, where n is the degree of the polynomial, and the task is to determine the factor in front of this root. We improve upon earlier results by Ostrowski and Schonhage and give sharp estimates. Applications are given in estimating the differences of root-radii, which is important for the computation of the zeros of polynomials.
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