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Listar por palabra clave "Matrix functions"

Mostrando ítems 1-7 de 7

A physical interpretation of the use of fractional operators for modelling the drying process

Perre, Patrick; Turner, Ian (Editorial Universitat Politècnica de València, 2018-09-07)

[EN] Fractional order derivatives provide useful alternatives to their integer order counterparts due to their ability to model memory and other properties of the porous medium, such as nonlocal behaviour. These phenomena ...
Accurate approximation of the Hyperbolic matrix cosine using Bernoulli matrix polynomials

Defez Candel, Emilio; Ibáñez González, Jacinto Javier; Alonso Abalos, José Miguel; Peinado Pinilla, Jesús; Sastre, Jorge (Universitat Politècnica de València, 2021-11-30)

[EN] The evaluation of matrix functions plays an important and relevant role in many scientific applications because matrix functions have proven to be an ecient tool in applications such as reduced order models [1], [2, ...
Advances in the Approximation of the Matrix Hyperbolic Tangent

Ibáñez González, Jacinto Javier; Alonso Abalos, José Miguel; Sastre, Jorge; Defez Candel, Emilio; Alonso-Jordá, Pedro (MDPI AG, 2021-06)

[EN] In this paper, we introduce two approaches to compute the matrix hyperbolic tangent. While one of them is based on its own definition and uses the matrix exponential, the other one is focused on the expansion of its ...
Application of Laguerre matrix polynomials to the numerical inversion of Laplace transforms of matrix functions

Sastre, Jorge; Defez Candel, Emilio; Jódar Sánchez, Lucas Antonio (Elsevier, 2011-09)

This paper presents an application of Laguerre matrix polynomial series to the numerical inversion of Laplace transforms of matrix functions. © 2011 Elsevier Ltd. All rights reserved.
Computing the Matrix Logarithm with the Romberg Integration Method

Ibáñez González, Jacinto Javier; Alonso Abalos, José Miguel; Defez Candel, Emilio; Alonso-Jordá, Pedro; Sastre, Jorge (MDPI AG, 2023-09)

[EN] The matrix logarithm function has applicability in many engineering and science fields. Improvements in its calculation, from the point of view of both accuracy and/or execution time, have a direct impact on these ...
Dense and sparse parallel linear algebra algorithms on graphics processing units

Lamas Daviña, Alejandro (Universitat Politècnica de València, 2018-11-13)

Una línea de desarrollo seguida en el campo de la supercomputación es el uso de procesadores de propósito específico para acelerar determinados tipos de cálculo. En esta tesis estudiamos el uso de tarjetas gráficas como ...
Euler Polynomials for the Matrix Exponential Approximation

Alonso Abalos, José Miguel; Ibáñez González, Jacinto Javier; Defez Candel, Emilio; Alonso-Jordá, Pedro (Elsevier, 2023-06)

[EN] In this work, a new method to compute the matrix exponential function by using an approximation based on Euler polynomials is proposed. These polynomials are used in combination with the scaling and squaring technique, ...