Ostrowski-Like Method with Corrections for the Inclusion of Polynomial Zeros |
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Authors: | Petković Miodrag S Milošević Dušan M |
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Affiliation: | (1) Faculty of Electronic Engineering, University of Ni, P.O. Box 73, 18 000 Ni, Serbia and, Montenegro, e-mail |
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Abstract: | In this paper we construct iterative methods of Ostrowski's type for the simultaneous inclusion of all zeros of a polynomial. Using the concept of the R-order of convergence of mutually dependent sequences, we present the convergence analysis of the total-step and the single-step methods with Newton and Halley's corrections. The case of multiple zeros is also considered. The suggested algorithms possess a great computational efficiency since the increase of the convergence rate is attained without additional calculations. Numerical examples and an analysis of computational efficiency are given. |
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