Publications:
- R. Astudillo, J. M. de Gier, and M. B. van Gijzen. Accelerating the Induced Dimension Reduction method using spectral information. J. Comput. Appl. Math., Vol. 345, pp. 33--47, 2019.
- R. Astudillo. Induced Dimension Reduction algorithms for solving non-symmetric sparse matrix problems. Ph.D. thesis. Delft University of Technology, Delft, The Netherlands, 2018.
- M. Baumann, R. Astudillo, Y. Qiu, E. Y. M. Ang, M. B. van Gijzen, and R-É Plessix. An MSSS-Preconditioned Matrix Equation Approach for the Time-Harmonic Elastic Wave Equation at Multiple Frequencies. Comput. Geosci. Vol. 22, issue 1, pp. 43--61, 2018.
- R. Astudillo and M. B. van Gijzen. Induced Dimension Reduction Method to solve the Quadratic Eigenvalue Problem. Numerical Analysis and Its Applications: 6th International Conference, NAA 2016, Lozenetz, Bulgaria, June 15-22, 2016, Revised Selected Papers, Springer International Publishing, Dimov, I. (Ed.) , pp. 203--211, 2017
- R. Astudillo and M. B. van Gijzen. The Induced Dimension Reduction method applied to convection-diffusion-reaction problems. Numerical Mathematics and Advanced Applications - ENUMATH 2015, pp. 295--303, 2016.
- R. Astudillo and M. B. van Gijzen. Induced Dimension Reduction method for solving linear matrix equations. Procedia Comput. Sci. Vol. 80, pp. 222--232, 2016.
- R. Astudillo and M. B. van Gijzen. A restarted Induced Dimension Reduction method to approximate eigenpairs of large unsymmetric matrices. J. Comput. Appl. Math., Vol. 296, pp. 24--35, 2016.
- R. Astudillo and M. B. van Gijzen. An induced dimension reduction algorithm to approximate eigenpairs of large nonsymmetric matrices. AIP Conf. Proc. Vol. 1558, pp. 2277--2280, 2013.
- R. Astudillo and Z. Castillo. Computing pseudospectra using block implicitly restarted Arnoldi iteration. Math. Comput. Modelling, Vol. 57, issues 9-10, pp. 2149--2157, 2013.
- R. Astudillo and Z. Castillo. Approximating the weighted pseudospectra of large matrices. Math. Comput. Modelling, Vol. 57, issues 9-10, pp. 2169--2176, 2013.