Browsing by Autor "Elvis Valero"

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    Description of Parameter Variation Learning with Artificial Intelligence and GeoGebra in Students of a Differential Equations Course
    (IOP Publishing, 2024) Jorge Olivares Funes; Elvis Valero; Pablo Martín
    Abstract In this era of social and technological change, the advent of AI has had great impact on the lives of many people and especially in the educational field, as mentioned in [1], wich prove that the perceptions that students and instructors have about artificial intelligence are very positive to implement them in learning. In this [2] assert that it is possible to have a collaborations between the fields of mathematics and artificial intelligence AI.
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    Nonnegative generalized doubly stochastic matrices with prescribed elementary divisors
    (2015) Ricardo L. Soto; Elvis Valero; Mario Salas; Hans Nina
    This paper provides sufficient conditions for the existence of nonnegative generalized doubly stochastic matrices with prescribed elementary divisors. These results improve previous results and the constructive nature of their proofs allows for the computation of a solution matrix. In particular, this paper shows how to transform a generalized stochastic matrix into a nonnegative generalized doubly stochastic matrix, at the expense of increasing the Perron eigenvalue, but keeping other elementary divisors unchanged. Under certain restrictions, nonnegative generalized doubly stochastic matrices can be constructed, with spectrum \Lambda = {\lambda_1,\lambda_2 2, . . . , \lambda_n} for each Jordan canonical form associated with \Lambda