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Browsing by Author "Ibáñez González, Jacinto Javier"

Now showing items 1-20 of 31

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 ...
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 ...
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
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 ...
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 ...
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 ...
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 ...
An efficient and accurate algorithm for computing the matrix cosine based on New Hermite approximations

Defez Candel, Emilio; Ibáñez González, Jacinto Javier; Peinado Pinilla, Jesús; Sastre, Jorge; Alonso-Jordá, Pedro (Elsevier, 2019-03-01)

[EN] In this work we introduce new rational-polynomial Hermite matrix expansions which allow us to obtain a new accurate and efficient method for computing the matrix cosine. This method is compared with other state-of-the-art ...
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 ...
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 ...
Computing Matrix Trigonometric Functions with GPUs through Matlab

Alonso-Jordá, Pedro; Peinado Pinilla, Jesús; Ibáñez González, Jacinto Javier; Sastre, Jorge; Defez Candel, Emilio (Springer-Verlag, 2019-03)

[EN] This paper presents an implementation of one of the most up-to-day algorithms proposed to compute the matrix trigonometric functions sine and cosine. The method used is based on Taylor series approximations which ...
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 ...
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 ...
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 ...
Fast Taylor polynomial evaluation for the computation of the matrix cosine

Sastre, Jorge; Ibáñez González, Jacinto Javier; Alonso-Jordá, Pedro; Peinado Pinilla, Jesús; Defez Candel, Emilio (Elsevier, 2019-07)

[EN] In this work we introduce a new method to compute the matrix cosine. It is based on recent new matrix polynomial evaluation methods for the Taylor approximation and a mixed forward and backward error analysis. The ...
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 ...