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Listar por autor "Ruiz Martínez, Pedro Antonio"

Mostrando ítems 1-11 de 11

Accurate and efficient matrix exponential computation

Sastre, Jorge; Ibáñez González, Jacinto Javier; Ruiz Martínez, Pedro Antonio; Defez Candel, Emilio (Taylor & Francis (Routledge): STM, Behavioural Science and Public Health Titles, 2014-01)

[EN] This work gives a new formula for the forward relative error of matrix exponential Taylor approximation and proposes new bounds for it depending on the matrix size and the Taylor approximation order, providing a new ...
Accurate matrix exponential computation to solve coupled differential models in engineering

Sastre, Jorge; Ibáñez González, Jacinto Javier; Defez Candel, Emilio; Ruiz Martínez, Pedro Antonio (Elsevier, 2011-10)

The matrix exponential plays a fundamental role in linear systems arising in engineering, mechanics and control theory. This work presents a new scaling-squaring algorithm for matrix exponential computation. It uses forward ...
An Improved Taylor Algorithm for Computing the Matrix Logarithm

Ibáñez González, Jacinto Javier; Sastre, Jorge; Ruíz Martínez, Pedro Antonio; Alonso Abalos, José Miguel; Defez Candel, Emilio (MDPI AG, 2021-09)

[EN] The most popular method for computing the matrix logarithm is a combination of the inverse scaling and squaring method in conjunction with a Pade approximation, sometimes accompanied by the Schur decomposition. In ...
Computing matrix functions arising in engineering models with orthogonal matrix polynomials

Defez Candel, Emilio; Sastre, Jorge; Ibáñez González, Jacinto Javier; Ruiz Martínez, Pedro Antonio (Elsevier, 2013-04)

Trigonometric matrix functions play a fundamental role in the solution of second order differential equations. Hermite series truncation together with Paterson¿Stockmeyer method and the double angle formula technique ...
Computing matrix functions solving coupled differential models

Defez Candel, Emilio; Sastre, Jorge; Ibáñez González, Jacinto Javier; Ruiz Martínez, Pedro Antonio (Elsevier, 2009)

In this paper a modification of the method proposed in [E. Defez, L. Jódar, Some applications of Hermite matrix polynomials series expansions, Journal of Computational and Applied Mathematics 99 (1998) 105–117] for ...
Efficient computation of the matrix cosine

Sastre, Jorge; Ibáñez González, Jacinto Javier; Ruiz Martínez, Pedro Antonio; Defez Candel, Emilio (Elsevier, 2013-03-15)

Trigonometric matrix functions play a fundamental role in second order differential equation systems. This work presents an algorithm for computing the cosine matrix function based on Taylor series and the cosine double ...
Efficient orthogonal matrix polynomial based method for computing matrix exponential

Sastre, Jorge; Ibáñez González, Jacinto Javier; Defez Candel, Emilio; Ruiz Martínez, Pedro Antonio (Elsevier, 2011-03-15)

The matrix exponential plays a fundamental role in the solution of differential systems which appear in different science fields. This paper presents an efficient method for computing matrix exponentials based on Hermite ...
High performance computing of the matrix exponential

Ruiz Martínez, Pedro Antonio; Sastre Martinez, Jorge; Ibáñez González, Jacinto Javier; Defez Candel, Emilio (Elsevier, 2016-01)

This work presents a new algorithm for matrix exponential computation that significantly simplifies a Taylor scaling and squaring algorithm presented previously by the authors, preserving accuracy. A Matlab version of the ...
New scaling-squaring Taylor algorithms for computing the matrix exponential

Sastre, Jorge; Ibáñez González, Jacinto Javier; Defez Candel, Emilio; Ruiz Martínez, Pedro Antonio (Society for Industrial and Applied Mathematics, 2015)

The matrix exponential plays a fundamental role in linear differential equations arising in engineering, mechanics, and control theory. The most widely used, and the most generally efficient, technique for calculating ...
Nuevos métodos y algoritmos de altas prestaciones para el cálculo de funciones de matrices

Ruiz Martínez, Pedro Antonio (Universitat Politècnica de València, 2020-02-17)

[ES] El objetivo de esta tesis es el desarrollo de algoritmos e implementaciones innovadoras de altas prestaciones (HPC) para la computación de funciones de matrices basadas en series de polinomios matriciales. En concreto, ...
Parallel Computing in Water Network Analysis and Leakage Minimization

Alonso Ábalos, José Miguel; Alvarruiz Bermejo, Fernando; Guerrero López, David; Hernández García, Vicente; Ruiz Martínez, Pedro Antonio; Vidal Maciá, Antonio Manuel; Martínez Alzamora, Fernando; Vercher, Juan; Ulanick, Bogumil (American Society of Civil Engineers, 2000)

[EN] In this paper a parallel computing based software demonstrator for the simulation and leakage minimization of water networks is presented. This demonstrator, based on the EPANET package, tackles three different types ...