Abstract
Abstract In 1991, T. Sakurai, T. Torii and H. Sugiura presented a fourth-order iterative algorithm for finding all zeros of a polynomial simultaneously. In this paper, we provide a detailed convergence analysis (local and semilocal) of this method. The new results improve and complement existing results due to Petkovic et al. (2003) and Petkovic (2008). Numerical examples are given to show the applicability of our semilocal convergence results.
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