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A note on the local convergence of iterative methods based on adomian decomposition method and 3-node quadrature rule. (English) Zbl 1160.65018

The fourth-order convergence is proved for two Newton type methods, using Ostrowski’s technique based on the point of attraction.

MSC:

65H10 Numerical computation of solutions to systems of equations
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References:

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[12] Ostrowski, A., Les points d’attraction et de repulsions pour l’iteration dans l’espace à n dimensions, CR Acad. Sci. Paris, 244, 288-289 (1957)
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