The convergence of Euler-like method for the simultaneous inclusion of polynomial zeros |
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Affiliation: | Faculty of Electronic Engineering, Department of Mathematics P.O. Box 73, 18 000 Niš, Yugoslavia |
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Abstract: | In this paper, we give the convergence analysis of the Euler-like iterative method for the simultaneous inclusion of all simple real or complex zeros of a polynomial. The established initial conditions provide the safe convergence of the considered method and the fourth order of convergence. These conditions are computationally verifiable, which is of practical importance. A procedure for the choice of initial inclusion disks is also given. |
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