- -

Browsing by Author "Peinado Pinilla, Jesús"

RiuNet: Institutional repository of the Polithecnic University of Valencia

Browsing by Author "Peinado Pinilla, Jesús"

Sort by: Order: Results:

  • Icon
    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 ...
  • Icon
    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 ...
  • thumb
    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
  • thumb
    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 ...
  • thumb
    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, ...
  • Icon
    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 ...
  • thumb
    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 ...
  • thumb
    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 ...
  • thumb
    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 ...
  • Icon
    Efficient Simulation of Spatio-temporal Dynamics in Ultrasonic Resonators 
    Alonso-Jordá, Pedro; Peinado Pinilla, Jesús; Pérez Arjona, Isabel; Sánchez Morcillo, Víctor José (Springer Verlag (Germany), 2011)
    The simulation in computers of the evolution of pressure and temperature inside a cavity when acoustic energy is injected results in a very stiff and high time consuming application. The split-step method used for the ...
  • thumb
    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 ...
  • Icon
    Herramientas de desarrollo, de depuración y de monitorización para el entorno PVM 
    De Giorgi, Laura (Universitat Politècnica de València, 2011-02-23)
  • thumb
    New Hermite series expansion for computing the matrix hyperbolic cosine 
    Defez Candel, Emilio; Ibáñez González, Jacinto Javier; Peinado Pinilla, Jesús; Alonso-Jordá, Pedro; Alonso Abalos, José Miguel (Elsevier, 2022-07)
    [EN] There are, currently, very few implementations to compute the hyperbolic cosine of a matrix. This work tries to fill this gap. To this end, we first introduce both a new rational-polynomial Hermite matrix expansion ...
  • thumb
    New matrix series expansions for the matrix cosine approximation 
    Defez Candel, Emilio; Ibáñez González, Jacinto Javier; Alonso Abalos, José Miguel; Peinado Pinilla, Jesús; Alonso-Jordá, Pedro (R. Company, J. C. Cortés, L. Jódar and E. López-Navarro, 2019-07-12)
  • thumb
    On Bernoulli Matrix Polynomials and Matrix Exponential Approximation 
    Defez Candel, Emilio; Ibáñez González, Jacinto Javier; Alonso-Jordá, Pedro; Alonso Abalos, José Miguel; Peinado Pinilla, Jesús (Elsevier, 2022-04)
    [EN] We present in this paper a new method based on Bernoulli matrix polynomials to approximate the exponential of a matrix. The developed method has given rise to two new algorithms whose efficiency and precision are ...
  • thumb
    On the evaluation of matrix polynomials using several GPGPUs 
    Alonso Jordá, Pedro; Boratto, Murilo; Peinado Pinilla, Jesús; Ibáñez González, Jacinto Javier; Sastre Martinez, Jorge (Universitat Politècnica de València, 2014-09-15)
    Computing a matrix polynomial is the basic process in the calculation of functions of matrices by the Taylor method. One of the most efficient techniques for computing matrix polynomials is based on the Paterson– Stockmeyer ...
  • thumb
    Solving engineering models using hyperbolic matrix functions 
    Defez Candel, Emilio; Sastre, Jorge; Ibáñez González, Jacinto Javier; Peinado Pinilla, Jesús (Elsevier, 2016-02)
    In this paper a method for computing hyperbolic matrix functions based on Hermite matrix polynomial expansions is outlined. Hermite series truncation together with Paterson-Stockmeyer method allow to compute the hyperbolic ...
  • Icon
    Solving time-invariant differential matrix Riccati equations using GPGPU computing 
    Peinado Pinilla, Jesús; Alonso-Jordá, Pedro; Ibáñez González, Jacinto Javier; Hernández García, Vicente; DO CARMO BORATTO, MURILO (Springer Verlag (Germany), 2014-11)
    Differential matrix Riccati equations (DMREs) enable to model many physical systems appearing in different branches of science, in some cases, involving very large problem sizes. In this paper, we propose an adaptive ...
  • Icon
    Speeding up solving of differential matrix Riccati equations using GPGPU computing and MATLAB 
    Peinado Pinilla, Jesús; Ibáñez González, Jacinto Javier; Enrique Arias Antunez; Hernández García, Vicente (Wiley-Blackwell, 2012-08-25)
    In this work, we developed a parallel algorithm to speed up the resolution of differential matrix Riccati equations using a backward differentiation formula algorithm based on a fixed-point method. The role and use of ...
  • thumb
    Two algorithms for computing the matrix cosine function 
    Sastre, Jorge; Ibáñez González, Jacinto Javier; Alonso-Jordá, Pedro; Peinado Pinilla, Jesús; Defez Candel, Emilio (Elsevier, 2017)
    [EN] The computation of matrix trigonometric functions has received remarkable attention in the last decades due to its usefulness in the solution of systems of second order linear differential equations. Several ...