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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.
Lavrentiev Regularization methods for Ill-posed equations
(Iterative Methods and Their Dynamics with Applications: A Contemporary Study, 2017)
In this chapter, we consider the problem of approximately solving the nonlinear ill-posed operator equation of the form F(x) = y, (9.1) where F : D(F) ⊂ X → X is a monotone operator and X is a real Hilbert space. We denote ...
Robust convergence for inexact newton method
(Iterative Methods and Their Dynamics with Applications: A Contemporary Study, 2017)
The main task this chapter is to use the iterative methods to find solutions x of the equation F(x) = 0, (7.1) where D : D ⊂ X → Y is a Fréchet-differentiable operator X, Y are Banach spaces and D ⊂ X. Many problems from ...
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 ...
Computer Application for the Evaluation of Mathematical Competence in Secondary Education: A Case Study
(Communications in Computer and Information Science, 2019)
The main purpose of this work is the development of an application that allows compulsory secondary education teachers the assessment of the students’ maths competence. An equation of prediction is obtained in a pilot study ...
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 ...
Holographic tools for science learning
(Communications in Computer and Information Science, LTEC 2017, 2017-08)
The purpose of the present work is the design of a technological tool that improves meaningful learning in the teaching of science subjects. For this, a sample of 6th and 7th grade students from the educational institution ...