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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 ...
Starting points for Newton’s method under a center Lipschitz condition for the second derivative
(Journal of Computational and Applied Mathematics, 2018-03)
We analyze the semilocal convergence of Newton's method under a center Lipschitz condition for the second derivative of the operator involved different from that used by other authors until now. In particular, we propose ...
A study of 16 years old student learning strategies from a neuropsychological perspective: An intervention proposal
(Trends in Neuroscience and Education, 2018-06)
Scientific achievements related to brain processes provide innovation and improvements in students' learning. The aim of this study was to analyse, relate, and compare learning strategies and academic performance of students ...
Extending the domain of starting points for Newton's method under conditions on the second derivative
(Journal of Computational and Applied Mathematics, 2018-10)
In this paper, we propose a center Lipschitz condition for the second Frechet derivative together with the use of restricted domains in order to improve the domain of starting points for Newton's method. In addition, we ...
The hologram as a teaching medium for the acquisition of STEM contents
(International Journal of Learning Technology, 2018)
The aim of the work presented in this article is to assess whether the use of a hologram enhances the meaningful learning of cellular division contents. A pilot phase has been carried out with a sample of students of 4th ...
Optimizing the applicability of a theorem by F. Potra for Newton-like methods
(Applied Mathematics and Computation, 2014-09)
We present a new sufficient semilocal convergence conditions for Newton-like methods in order to approximate a locally unique solution of an equation in a Banach space setting. This way, we expand the applicability of these ...
A study on the local convergence and the dynamics of Chebyshev–Halley–type methods free from second derivative
(Numerical Algorithms, 2016-01)
We study the local convergence of Chebyshev-Halley-type methods of convergence order at least five to approximate a locally unique solution of a nonlinear equation. Earlier studies such as Behl (2013), Bruns and Bailey ...
A new tool to study real dynamics: The convergence plane
(Applied Mathematics and Computation, 2014-12)
In this paper, the author presents a graphical tool that allows to study the real dynamics of iterative methods whose iterations depends on one parameter in an easy and compact way. This tool gives the information as ...
Extending the convergence domain of the Secant and Moser method in Banach Space
(Journal of Computational and Applied Mathematics, 2015-12)
We present a new semilocal convergence analysis for the Secant and the Moser method in order to approximate a solution of an equation in a Banach space setting. Using the method of recurrent relations and weaker sufficient ...
Decision model for siting transport and logistic facilities in urban environments: A methodological approach
(Journal of Computational and Applied Mathematics, 2016-01)
In this study, based on the use of a geographic information system (GIS), we define a decision model for determining the possible optimal locations of various facilities in an urban setting, which can be used by the transport ...
