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On My Own: Acquiring Technical Digital Skills for Mobile Phone Use in Chile. Parents-children Perceptions
(Cherkas Global University, 28/12/2021)Despite its relevance, the difficulty in reaching consensus on the definition of digital competence slows down its implementation. The need of prior development of specific skills to advance in digital development has been ... -
On the behavior of chebyshev's method applied to cubic polynomials
(Civil-Comp Proceedings, 2014)This paper shows the dynamical behavior of the well-known Chebyshev method when it is applied to cubic polynomials. We present the scaling theorem associated to the method and we study the real dynamics of the method. The ... -
On the choice of the best members of the Kim family and the improvement of its convergence
(Mathematical Methods in the Applied Sciences, 30/09/2020)The best members of the Kim family, in terms of stability, are obtained by using complex dynamics. From this elements, parametric iterative methods with memory are designed. A dynamical analysis of the methods with memory ... -
On the computation of Darboux first integrals of a class of planar polynomial vector fields
(Journal of Mathematical Analysis and Applications, 15/10/2019)We study the class of planar polynomial vector fields admitting Darboux first integrals of the type ∏i=1 rfi αi, where the αi's are positive real numbers and the fi's are polynomials defining curves with only one place at ... -
On the convergence of a damped Newton-like method with modified right hand side vector
(Applied Mathematics and Computation, 09/2015)We present a convergence analysis for a damped Newton like method with modified right-hand side vector in order to approximate a locally unique solution of a nonlinear equation in a Banach spaces setting. In the special ... -
On the convergence of a Damped Secant method with modified right-hand side vector
(Applied Mathematics and Computation, 02/2015)We present a convergence analysis for a Damped Secant method with modified right-hand side vector in order to approximate a locally unique solution of a nonlinear equation in a Banach spaces setting. In the special case ... -
On the convergence of a higher order family of methods and its dynamics
(Journal of Computational and Applied Mathematics, 01/2017)In this paper, we present the study of the local convergence of a higher-order family of methods. Moreover, the dynamical behavior of this family of iterative methods applied to quadratic polynomials is studied. Some ... -
On the convergence of an optimal fourth-order family of methods and its dynamics
(Applied Mathematics and Computation, 02/2015)In this paper, we present the study of the semilocal and local convergence of an optimal fourth-order family of methods. Moreover, the dynamical behavior of this family of iterative methods applied to quadratic polynomials ... -
On the convergence of inexact two-point Newton-like methods on Banach spaces
(Applied Mathematics and Computation, 08/2015)We present a unified convergence analysis of Inexact Newton like methods in order to approximate a locally unique solution of a nonlinear operator equation containing a nondifferentiable term in a Banach space setting. The ... -
On the design and analysis of high order Weerakoon-Fernando methods based on weight functions
(Computational and Mathematical Methods, 18/06/2020)In this article, using the idea of weight functions on Weerakoon‐Fernando's method, an optimal fourth‐order method and some higher order multipoint methods for solving nonlinear equations are proposed. These methods are ... -
On the dynamics of a triparametric family of optimal fourth-order multiple-zero finders with a weight function of the principal mth root of a function-to function ratio
(Applied Mathematics and Computation, 12/2017)Under the assumption of known root multiplicity m is an element of N, a triparametric family of two-point optimal quartic-order methods locating multiple zeros are investigated in this paper by introducing a weight function ... -
On the effect of the multidimensional weight functions on the stability of iterative processes
(Journal of Computational and Applied Mathematics, 15/05/2022)In this work, we start from a family of iterative methods for solving nonlinear multidimensional problems, designed using the inclusion of a weight function on its iterative expression. A deep dynamical study of the family ... -
On the election of the damped parameter of a two-step relaxed Newton-type method
(Nonlineard Dynamics, 04/2016)In this paper, we are interested to justified two typical hypotheses that appear in the convergence analysis, |λ|≤2|λ|≤2 and z0z0 sufficient close to z∗z∗ . In order to proof these ideas, the dynamics of a damped ... -
On the improvement of the order of convergence of iterative methods for solving nonlinear systems by means of memory
(Applied Mathematics Letters, 06/2020)Iterative methods with memory for solving nonlinear systems have been designed. For approximating the accelerating parameters the Kurchatov's divided difference is used as an approximation of the derivative of second order. ... -
On the local convergence and the dynamics of Chebyshev–Halley methods with six and eight order of convergence
(Journal of Computational and Applied Mathematics, 05/2016)We study the local convergence of Chebyshev–Halley methods with six and eight order of convergence to approximate a locally unique solution of a nonlinear equation. In Sharma (2015) (see Theorem 1, p. 121) the convergence ... -
On the Norm with Respect to Vector Measures of the Solution of an Infinite System of Ordinary Differential Equations
(Mediterranean Journal of Mathematics, 07/2015)In the present paper we give some necessary conditions that satisfy the solutions of an infinite system of ordinary differential equations. We investigate the behavior of the solutions of a general system of equations, ... -
On the Polynomial Solutions of the Polynomial Differential Equations y y ' = a(0)(x) plus a(1)(x) y plus a(2)(x) y(2) + horizontal ellipsis plus a(n)(x) y(n)
(Indian Journal of Pure & Applied Mathematics, 03/2020)In this paper we deal with differential equations of the form yy ' = P(x, y) where y ' = dy/dx and P(x, y) is a polynomial in the variables x and y of degree n in the variable y. We provide an upper bound for the number ... -
On the Relative Importance of Personal Values Validating Schwartz's Theory of Value Structures by Computerized Paired Comparisons
(Journal of Individual Differences, 2015)The relative importance of values is a central feature in Schwartz's value theory. However, instruments used for validating his theory did not assess relative importance directly. Rather, values were independently rated ... -
On the Town la empatía como elemento de calidad democrática en el pensamiento político de Marshall Berman
(Revista de estudios políticos, 2021)El propósito de este trabajo es estudiar el papel que juega la empatía en la teoría política de Marshall Berman, en concreto en su libro On the town. Para ello, este artículo comienza con un análisis sobre el necesario ... -
On the Use of Meta-Heuristic Algorithms for Automated Test Suite Generation in Software Testing
(Studies in Systems, Decision and Control, 2021)There exists a dire need to automate the process of test suite generation to get the most optimal results as testing accounts for more than 40% of total cost. A solution consists of using meta-heuristic algorithms which ...