A fixed point-based BDF method for solving differential Riccati equations. - Enrique Arias 001; Vicente Hernández; Jacinto Javier Ibáñez; Jesús Peinado-Pinilla (Appl. Math. Comput., 2007)

A GMRES-based BDF method for solving differential Riccati equations. - Vicente Hernández; Jacinto Javier Ibáñez; Jesús Peinado-Pinilla; Enrique Arias 001 (Appl. Math. Comput., 2008)

Solving Differential Matrix Riccati Equations by a piecewise-linearized method based on the conmutant equation. - Jacinto Javier Ibáñez; Vicente Hernández (Comput. Phys. Commun., 2009)

Solving Initial Value Problems for Ordinary Differential Equations by two approaches: BDF and piecewise-linearized methods. - Jacinto Javier Ibáñez; Vicente Hernández; Enrique Arias 001; Pedro A. Ruiz (Comput. Phys. Commun., 2009)

Computing matrix functions solving coupled differential models. - Emilio Defez; Jorge Sastre; Jacinto Javier Ibáñez; Pedro A. Ruiz (Math. Comput. Model., 2009)

Adams-Bashforth and Adams-Moulton methods for solving differential Riccati equations. - Jesús Peinado-Pinilla; Jacinto Javier Ibáñez; Enrique Arias 001; Vicente Hernández (Comput. Math. Appl., 2010)

A family of BDF algorithms for solving Differential Matrix Riccati Equations using adaptive techniques. - Jesús Peinado-Pinilla; Jacinto Javier Ibáñez; Vicente Hernández; Enrique Arias 001 (ICCS, 2010)

Efficient orthogonal matrix polynomial based method for computing matrix exponential. - Jorge Sastre; Jacinto Javier Ibáñez; Emilio Defez; Pedro A. Ruiz (Appl. Math. Comput., 2011)

Solving differential matrix Riccati equations by a piecewise-linearized method based on diagonal Padé approximants. - Jacinto Javier Ibáñez; Vicente Hernández (Comput. Phys. Commun., 2011)

A piecewise-linearized algorithm based on the Krylov subspace for solving stiff ODEs. - Jacinto Javier Ibáñez; Vicente Hernández; Pedro A. Ruiz; Enrique Arias 001 (J. Comput. Appl. Math., 2011)

Accurate matrix exponential computation to solve coupled differential models in engineering. - Jorge Sastre; Jacinto Javier Ibáñez; Emilio Defez; Pedro A. Ruiz (Math. Comput. Model., 2011)

Speeding up solving of differential matrix Riccati equations using GPGPU computing and MATLAB. - Jesús Peinado-Pinilla; Jacinto Javier Ibáñez; Enrique Arias 001; Vicente Hernández (Concurr. Comput. Pract. Exp., 2012)

Approximating and computing nonlinear matrix differential models. - Emilio Defez; Michael M. Tung; Jacinto Javier Ibáñez; Jorge Sastre (Math. Comput. Model., 2012)

Efficient computation of the matrix cosine. - Jorge Sastre; Jacinto Javier Ibáñez; Pedro A. Ruiz; Emilio Defez (Appl. Math. Comput., 2013)

Computing matrix functions arising in engineering models with orthogonal matrix polynomials. - Emilio Defez; Jorge Sastre; Jacinto Javier Ibáñez; Pedro A. Ruiz (Math. Comput. Model., 2013)

Accurate and efficient matrix exponential computation. - Jorge Sastre; Jacinto Javier Ibáñez; Pedro A. Ruiz; Emilio Defez (Int. J. Comput. Math., 2014)

Solving time-invariant differential matrix Riccati equations using GPGPU computing. - Jesús Peinado-Pinilla; Pedro Alonso 002; Jacinto Javier Ibáñez; Vicente Hernández; Murilo Boratto (J. Supercomput., 2014)

New Scaling-Squaring Taylor Algorithms for Computing the Matrix Exponential. - Jorge Sastre; Jacinto Javier Ibáñez; Emilio Defez; Pedro A. Ruiz (SIAM J. Sci. Comput., 2015)

High performance computing of the matrix exponential. - Pedro A. Ruiz; Jorge Sastre; Jacinto Javier Ibáñez; Emilio Defez (J. Comput. Appl. Math., 2016)

Two algorithms for computing the matrix cosine function. - Jorge Sastre; Jacinto Javier Ibáñez; Pedro Alonso 002; Jesús Peinado-Pinilla; Emilio Defez (Appl. Math. Comput., 2017)

Efficient and accurate algorithms for computing matrix trigonometric functions. - Pedro Alonso 002; Jacinto Javier Ibáñez; Jorge Sastre; Jesús Peinado-Pinilla; Emilio Defez (J. Comput. Appl. Math., 2017)

A new efficient and accurate spline algorithm for the matrix exponential computation. - Emilio Defez; Jacinto Javier Ibáñez; Jorge Sastre; Jesús Peinado-Pinilla; Pedro Alonso 002 (J. Comput. Appl. Math., 2018)

Boosting the computation of the matrix exponential. - Jorge Sastre; Jacinto Javier Ibáñez; Emilio Defez (Appl. Math. Comput., 2019)

An efficient and accurate algorithm for computing the matrix cosine based on new Hermite approximations. - Emilio Defez; Jacinto Javier Ibáñez; Jesús Peinado-Pinilla; Jorge Sastre; Pedro Alonso-Jordá (J. Comput. Appl. Math., 2019)

Fast Taylor polynomial evaluation for the computation of the matrix cosine. - Jorge Sastre; Jacinto Javier Ibáñez; Pedro Alonso-Jordá; Jesús Peinado-Pinilla; Emilio Defez (J. Comput. Appl. Math., 2019)

Computing matrix trigonometric functions with GPUs through Matlab. - Pedro Alonso 002; Jesús Peinado-Pinilla; Jacinto Javier Ibáñez; Jorge Sastre; Emilio Defez (J. Supercomput., 2019)

Two Taylor Algorithms for Computing the Action of the Matrix Exponential on a Vector. - Jacinto Javier Ibáñez; José M. Alonso; Pedro Alonso-Jordá; Emilio Defez; Jorge Sastre (Algorithms, 2022)

On Bernoulli matrix polynomials and matrix exponential approximation. - Emilio Defez; Jacinto Javier Ibáñez; Pedro Alonso-Jordá; José M. Alonso; Jesús Peinado-Pinilla (J. Comput. Appl. Math., 2022)

New Hermite series expansion for computing the matrix hyperbolic cosine. - Emilio Defez; Jacinto Javier Ibáñez; Jesús Peinado-Pinilla; Pedro Alonso 002; José M. Alonso (J. Comput. Appl. Math., 2022)

Computing the Matrix Logarithm with the Romberg Integration Method. - Jacinto Javier Ibáñez; José M. Alonso; Emilio Defez; Pedro Alonso-Jordá; Jorge Sastre (Algorithms, 2023)

On the backward and forward error of approximations of analytic functions and applications to the computation of matrix functions. - Jorge Sastre; Jacinto Javier Ibáñez (J. Comput. Appl. Math., 2023)

Euler polynomials for the matrix exponential approximation. - José M. Alonso; Jacinto Javier Ibáñez; Emilio Defez; Pedro Alonso-Jordá (J. Comput. Appl. Math., 2023)