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Second derivative free sixth order continuation method for solving nonlinear equations with applications
(Journal of Mathematical Chemistry, 2018-08)
In this paper, we deal with the study of convergence analysis of modified parameter based family of second derivative free continuation method for solving nonlinear equations. We obtain the order of convergence is at least ...
An efficient optimal family of sixteenth order methods for nonlinear models
(Journal of Computational and Applied Mathematics, 2018)
The principle aim of this manuscript is to propose a general scheme that can be applied to any optimal iteration function of order eight whose first substep employ Newton’s method to further develop new interesting optimal ...
Ball convergence of a sixth-order Newton-like method based on means under weak conditions
(Journal of Mathematical Chemistry, 2018-08)
We study the local convergence of a Newton-like method of convergence order six to approximate a locally unique solution of a nonlinear equation. Earlier studies show convergence under hypotheses on the seventh derivative ...
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 ...
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 ...
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 ...
A study of dynamics via Mobius conjugacy map on a family of sixth-order modified Newton-like multiple-zero finders with bivariate polynomial weight functions
(Journal of Computational and Applied Mathematics, 2018-12-15)
A generic family of sixth-order modified Newton-like multiple-zero finders have been proposed in Geum et al. (2016). Among them we select a specific family of iterative methods with uniparametric bivariate polynomial weight ...
A contemporary study of iterative methods: Convergence, dynamics and applications
(Elsevier, 2018)
A Contemporary Study of Iterative Methods: Convergence, Dynamics and Applications evaluates and compares advances in iterative techniques, also discussing their numerous applications in applied mathematics, engineering, ...
Domain of parameters
(Contemporary study of iterative methods: convergence, dynamics and applications, 2018)
In this chapter we present several convergence results related to Newton's method in which we enlarge the domain of parameters, which is one of the main problems in iterative procedure studies. Moreover, several numerical ...
