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Didactic intervention on notable products
(Nova Science Publishers, Inc., 2020)
High school students have no difficulty in learning the notable products, but they have difficulties in knowing how to apply them when required in a problem. Algebraic reasoning is one of the most difficult cognitive ...
Games math. Adaptive video game to evaluate basic mathematic concepts
(2017-08)
Video games are interesting tools which can help teachers to motivate students so as to reinforce the main concepts related to Euclidean geometry, such as the types of angles, lines, and terms related with the circle and ...
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.
Newton’s method for generalized equations using restricted domains
(Iterative Methods and Their Dynamics with Applications: A Contemporary Study, 2017)
In this chapter we are concerned with the study of the generalized equation F(x)+Q(x) ϶ 0, where F : D → H is a nonlinear Fréchet differentiable defined on the open subset D of the Hilbert space H, and Q : H ⇉ H is set-valued ...
Nonlinear Ill-posed equations
(Iterative Methods and Their Dynamics with Applications: A Contemporary Study, 2017)
In this chapter we provide an extended the analysis of the Lavrentiev regularization for nonlinear ill-posed problems F(x) = y, where F : D(F) ⊆ X → X is a nonlinear monotone operator considered in [22].
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 ...