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Improving the Dynamics of Steffensen-type Methods |
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PP: 2403-2408 |
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Author(s) |
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Sergio Amat,
Sonia Busquier,
Ángel Alberto,
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Abstract |
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| The dynamics of Steffesen-type methods, using a graphical tool for showing the basins of attraction, is presented. The
study includes as particular cases, Steffesen-type modifications of the Newton, the two-steps, the Chebyshev, the Halley and the super–
Halley iterative methods. The goal is to show that if we are interesting to preserve the convergence properties we must ensure that the
derivatives are well approximated in all iterations. |
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