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Convergence and the dynamics of Chebyshev-Halley type methods
(Contemporary study of iterative methods: convergence, dynamics and applications, 2018)
In this chapter we present a weak convergence analysis and the dynamics of Chebyshev–Halley type methods.
Convergence and dynamics of a higher order family of iterative methods
(Contemporary study of iterative methods: convergence, dynamics and applications, 2018)
In this chapter we study the convergence as well as the dynamics of some high convergence order family of iterative methods.
Use of kahoot and EdPuzzle by smartphone in the classroom: the design of a methodological proposal
(Communications in Computer and Information Science, 2018)
In these days, we live in a society where technology is everywhere. Some technological devices, such as smartphones, have become almost an extension of ourselves and a fundamental tool to carry out multiple tasks of our ...
Traub's method for multiple roots
(Contemporary study of iterative methods: convergence, dynamics and applications, 2018)
In this chapter we present several convergence results related to the convergence of Traub's method for finding solutions with multiplicity greater than 1. Moreover, we present numerical examples in which the theoretical ...
Preface of the "iterative Procedures for Solving Nonlinear Problems"
(AIP Conference Proceedings, 2018)
Ponencia de la conferencia "International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2017; The MET HotelThessaloniki; Greece; 25 September 2017 through 30 September 2017"
Convergence of iterative methods for multiple zeros
(Contemporary study of iterative methods: convergence, dynamics and applications, 2018)
In this chapter we study the convergence, as well as the dynamics, of some high order family of iterative methods
Local convergence and the dynamics of a family of high convergence order method for solving nonlinear equations
(AIP Conference Proceedings, 2018)
We present the local convergence analysis and the study of the dynamics of a higher order iterative method in order to approximate a locally unique solution of multiplicity greater than one of a nonlinear equation. The ...
Gauss-Newton method for convex composite optimization
(Contemporary study of iterative methods: convergence, dynamics and applications, 2018)
In this chapter we extend the solvability of convex composite optimization problems using Gauss–Newton method. We present the algorithm and study the regularity. Then we present the semilocal convergence study and finish ...
Inexact two-point Newton-like methods
(Elsevier, 2018)
In this chapter the applicability of inexact two-point Newton-like method for solving nonlinear equations is extended. Moreover, we present some numerical examples validating the theoretical results.