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 ...
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 ...
In this paper a method for computing hyperbolic matrix sine based
on Hermite matrix polynomial expansions is presented. An error bound analysis is
given
[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 ...
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 ...
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 ...
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 ...
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 ...
[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 ...
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 ...
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 ...
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 ...
[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 ...
[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 ...
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 ...
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 ...
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 ...
[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 ...
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 ...
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 ...