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UX of social network Edmodo in undergraduate engineering students
(International Journal of Interactive Multimedia and Artificial Intelligence, 2015-09)
The main objective of this research is to describe the use that students make of an academic SNS (social network service) and detail the relationship between socio-demographic and academic factors associated with the use ...
On the convergence of a damped Newton-like method with modified right hand side vector
(Applied Mathematics and Computation, 2015-09)
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 higher order family of methods and its dynamics
(Journal of Computational and Applied Mathematics, 2017-01)
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 ...
Expanding the applicability of the Secant method under weaker conditions
(Applied Mathematics and Computation, 2015-09)
We present a new semilocal convergence analysis for Secant method in order to approximate a locally unique solution of a nonlinear equation in a Banach space setting. Our analysis includes the computation of the bounds on ...
Improved semilocal convergence analysis in Banach space with applications to chemistry
(Journal of Mathematical Chemistry, 2017)
We present a new semilocal convergence analysis for Secant methods in order to approximate a locally unique solution of a nonlinear equation in a Banach space setting. Our analysis includes the computation of the bounds ...
A new technique for studying the convergence of Newton’s solver with real life applications
(Journal of Mathematical Chemistry, 2020-04)
The convergence domain for both the local and semilocal case of Newton’s method for Banach space valued operators is small in general. There is a plethora of articles that have extended the convergence criterion due to ...
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, 2017-12)
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 ...
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 ...
Extending the convergence domain of Newton's method for twice Frechet differentiable operators
(Analysis and Applications, 2016-03)
We present a semi-local convergence analysis of Newton's method in order to approximate a locally unique solution of a nonlinear equation in a Banach space setting. Using center-Lipschitz condition on the first and the ...
On the convergence of a Damped Secant method with modified right-hand side vector
(Applied Mathematics and Computation, 2015-02)
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 ...