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01-Applied Mathematics & Information Sciences
An International Journal


Volumes > Volume 9 > No. 5


Improving the Dynamics of Steffensen-type Methods

PP: 2403-2408
Sergio Amat, Sonia Busquier, Ángel Alberto,
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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