Abstract

In this paper, we provide a detailed local convergence analysis of the Ehrlich method for numerical computation of all zeros of a polynomial simultaneously. Our results generalize and improve the results of Kyurkchiev and Tashev (C. R. Acad. Bulg. Sci. 34:1053---1055, 1981), Wang and Zhao (Computing 43:187---197, 1989) and Tilli (Calcolo 35:3---15, 1998).

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