Iterative methods of order four and five for systems of nonlinear equations |
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| Authors: | Alicia Cordero,Eulalia Martí nez |
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| Affiliation: | Instituto de Matemática Multidisciplinar, Universidad Politécnica de Valencia, Camino de Vera, s/n, 46022, Valencia, Spain Instituto de Matemática Pura y Aplicada, Universidad Politécnica de Valencia, Camino de Vera, s/n, 46022, Valencia, Spain |
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| Abstract: | The Adomian decomposition is used in order to obtain a family of methods to solve systems of nonlinear equations. The order of convergence of these methods is proved to be p≥2, under the same conditions as the classical Newton method. Also, numerical examples will confirm the theoretical results. |
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| Keywords: | Nonlinear systems Adomian decomposition The Newton method Fixed point iteration Convergence order |
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