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Toward a general theory of point to point iterative processes free of derivatives with quadratic convergence
(AIP Conference Proceedings, 2018)
In this work, we are concerned with the problem of developing a general theory about derivative-free iterative procedures with quadratic convergence. Newton's method is the most used, well-known and studied in order to ...
On a Newton-type family of high-order iterative methods for some matrix functions
(AIP Conference Proceedings, 2018)
The main goal of this paper is to approximate some matrix functions by using a family of high-order Newton-type iterative methods. We analyse the semilocal convergence and the speed of convergence of these methods. Concerning ...
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 ...
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 ...