[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 ...
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 ...
La ecuación de la difusión neutrónica describe la población de neutrones de un reactor nuclear. Este trabajo trata con este modelo para reactores nucleares con geometría hexagonal. En primer lugar se estudia la ecuación ...
[EN] This paper presents new Taylor algorithms for the computation of the matrix exponential based on recent new matrix polynomial evaluation methods. Those methods are more efficient than the well known Paterson-Stockmeyer ...
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 ...
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 ...
Differential Matrix Riccati Equations play a fundamental role in control theory, for example, in optimal
control, filtering and estimation, decoupling and order reduction, etc. In this paper a piecewise-linearized
method ...
[EN] This thesis addresses the treatment of perturbed problems with splitting methods. After motivating these problems in Chapter 1, we give a thorough introduction in Chapter 2, which includes the objectives, several basic ...
Bader, Philipp; Blanes Zamora, Sergio; Seydaoglu, Muaz(Society for Industrial and Applied Mathematics, 2015)
[EN] We propose splitting methods for the computation of the exponential of perturbed matrices which can be written as the sum A = D+epsilon B of a sparse and efficiently exponentiable matrix D with sparse exponential e(D) ...