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On a simultaneous method of Newton-Weierstrass’ type for finding all zeros of a polynomial |
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| Authors: | M.S. Petkovi? ?. Herceg |
| Affiliation: | a Department of Mathematics, Faculty of Electronic Engineering, University of Niš, 18 000 Niš, Serbia b Department of Mathematics and Informatics, Faculty of Science, University of Novi Sad, 21 000 Novi Sad, Serbia c Department of Computer Science, Faculty of Electronic Engineering, University of Niš, 18 000 Niš, Serbia |
| Abstract: | Combining a suitable two-point iterative method for solving nonlinear equations and Weierstrass’ correction, a new iterative method for simultaneous finding all zeros of a polynomial is derived. It is proved that the proposed method possesses a cubic convergence locally. Numerical examples demonstrate a good convergence behavior of this method in a global sense. It is shown that its computational efficiency is higher than the existing derivative-free methods. |
| Keywords: | Root-finding methods Polynomial zeros Simultaneous methods Convergence Computational efficiency |
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