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Improving the Dynamics of Steffensen-type Methods
(Applied Mathematics and Information Sciences, 2015)
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 ...
Expanding the Applicability of a Third Order Newton-Type Method Free of Bilinear Operators
(Algorithms, 2015-09)
This paper is devoted to the semilocal convergence, using centered hypotheses, of a third order Newton-type method in a Banach space setting. The method is free of bilinear operators and then interesting for the solution ...