Weierstrass-like Methods with Corrections for the Inclusion of Polynomial Zeros |
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| Authors: | L D Petkovi? M S Petkovi? D Milo?evi? |
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| Affiliation: | (1) Faculty of Mechanical Engineering, University of Niš, Beogradska 14, 18 000 Niš, Serbia and Montenegro;(2) Faculty of Electronic Engineering, University of Niš, P. O. Box 73, 18 000 Niš, Serbia and Montenegro;(3) Faculty of Electronic Engineering, University of Niš, P. O. Box 73, 18 000 Niš, Serbia and Montenegro |
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| Abstract: | In this paper, we present iterative methods of Weierstress’ type for the simultaneous inclusion of all simple zeros of a polynomial. The main advantage of the proposed methods is the increase of the convergence rate attained by applying suitable correction terms. Using the concept of the R-order of convergence of mutually dependent sequences, we present the convergence analysis for the total-step and the single-step methods. Numerical examples are given. |
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| Keywords: | 65H05 65G20 30C15 |
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