Abstract
Miyakoda, T., Multiplicity estimating algorithm for zeros of a complex polynomial and its applications, Journal of Computational and Applied Mathematics 46 (1993) 357–368. This paper presents a method for estimating the multiplicity of zeros of a complex polynomial when the Durand-Kerner method is applied to solve it. The method is based on previous (this journal, 1989, 1992) work of the author. Numerical examples are given which show the efficiency of our algorithm compared with another method. And we propose further applications for accelerating convergence and improving the accuracy of approximations for multiple zeros.
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