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Browsing by Author "Ibáñez González, Jacinto Javier"

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Browsing by Author "Ibáñez González, Jacinto Javier"

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    A fixed point-baed BDF method for solving differential Riccati equations 
    Arias, E.; Hernández García, Vicente; Ibáñez González, Jacinto Javier; Peinado Pinilla, Jesús (Elsevier, 2007-05-15)
    This paper describes an approach for solving differential Riccati equations (DRE), by means of the backward differentiation formula (BDF) and resolution of the corresponding implicit equation using Newton’s method with a ...
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    A GMRES-based BDF method for solving differential Riccati equations 
    Hernández García, Vicente; Ibáñez González, Jacinto Javier; Peinado Pinilla, Jesús; Arias, E. (Elsevier, 2008-03-01)
    Differential Riccati equations play a fundamental role in control theory, for example, optimal control, filtering and estimation, decoupling and order reduction, etc. The most popular codes to solve stiff differential ...
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    A method to approximate the hyperbolic sine of a matrix 
    Defez Candel, Emilio; Sastre, Jorge; Ibáñez González, Jacinto Javier; Peinado Pinilla, Jesús; Tung, Michael Ming-Sha (2014-03)
    In this paper a method for computing hyperbolic matrix sine based on Hermite matrix polynomial expansions is presented. An error bound analysis is given
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    A new efficient and accurate spline algorithm for the matrix exponential computation 
    Defez Candel, Emilio; Ibáñez González, Jacinto Javier; Sastre, Jorge; Peinado Pinilla, Jesús; Alonso-Jordá, Pedro (Elsevier, 2018)
    [EN] In this work an accurate and efficient method based on matrix splines for computing matrix exponential is given. An algorithm and a MATLAB implementation have been developed and compared with the state-of-the-art ...
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    A piecewise-linearized algorithm based on the Krylov subspace for solving stiff ODEs 
    Ibáñez González, Jacinto Javier; Hernández García, Vicente; Ruiz Martínez, Pedro Antonio; Arias, Enrique (Elsevier, 2011-02)
    Numerical methods for solving Ordinary Differential Equations (ODEs) have received considerable attention in recent years. In this paper a piecewise-linearized algorithm based on Krylov subspaces for solving Initial Value ...
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    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 ...
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    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 ...
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    Adams-Bashforth and Adams-Moulton methods for solving differential Riccati equations 
    Peinado Pinilla, Jesús; Ibáñez González, Jacinto Javier; Arias, E.; Hernández García, Vicente (Elsevier, 2010-12)
    Differential Riccati equations play a fundamental role in control theory, for example, optimal control, filtering and estimation, decoupling and order reduction, etc. In this paper several algorithms for solving differential ...
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    Approximating and computing nonlinear matrix differential models 
    Defez Candel, Emilio; Tung ., Michael Ming-Sha; Ibáñez González, Jacinto Javier; Sastre, Jorge (Elsevier, 2012-04)
    Differential matrix models are an essential ingredient of many important scientific and engineering applications. In this work, we propose a procedure to represent the solutions of first-order matrix differential equations ...
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    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 ...
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    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 ...
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    Efficient and accurate algorithms for computing matrix trigonometric functions 
    Alonso-Jordá, Pedro; Ibáñez González, Jacinto Javier; Sastre Martinez, Jorge; Peinado Pinilla, Jesús; Defez Candel, Emilio (Elsevier, 2017-01)
    [EN] Trigonometric matrix functions play a fundamental role in second order differential equations. This work presents an algorithm based on Taylor series for computing the matrix cosine. It uses a backward error analysis ...
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    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 ...
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    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 ...
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    Ejercicios de programación paralela con OpenMP y MPI 
    Román Moltó, José Enrique; Alonso Ábalos, José Miguel; Blanquer Espert, Ignacio; Guerrero López, David; Ibáñez González, Jacinto Javier; Ramos Peinado, Enrique; Alvarruiz Bermejo, Fernando (Editorial Universitat Politècnica de València, 2018-06-13)
    Este libro recopila un conjunto de ejemplos de programación paralela, presentados de forma didáctica a modo de ejercicios resueltos.Las herramientas utilizadas son OpenMP y MPI,dos de las más utilizadas en la actualidad ...
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    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 ...
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    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 ...
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    Nuevos métodos y algoritmos de altas prestaciones para el cálculo de funciones de matrices 
    Ruiz Martínez, Pedro Antonio (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, ...
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    Numerical approximations of second-order matrix differential equations using higher-degree splines. 
    Defez Candel, Emilio; Tung ., Michael Ming-Sha; Solis Lozano, Francisco Javier; Ibáñez González, Jacinto Javier (Taylor & Francis, 2015)
    Many studies of mechanical systems in engineering are based on second-order matrix models. This work discusses the second-order generalization of previous research on matrix differential equations dealing with the ...
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    Numerical solutions of matrix differential models using higher-order matrix splines 
    Defez Candel, Emilio; Hervás Jorge, Antonio; Ibáñez González, Jacinto Javier; Tung, Michael Ming-Sha (Springer Verlag (Germany), 2012-11)
    This paper deals with the construction of approximate solution of first-order matrix linear differential equations using higher-order matrix splines. An estimation of the approximation error, an algorithm for its implementation ...