On the Vykhandu-Levin iterative method for numerical solution of nonlinear systems |
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| Authors: | L. Brutman |
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| Affiliation: | Department of Mathematics and Computer Science, University of Haifa, Mount Carmel, Haifa, 31905, Israel |
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| Abstract: | An iterative method for the solution of systems of nonlinear equations initiated by Vykhandu and investigated by Levin is discussed. It is shown that there is a flaw in the proof of Levin that the method is third-order convergent. Moreover, it is proved that the correct order of the method is only two. |
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| Keywords: | Nonlinear systems Convergence Order of the method |
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