Sastre, Jorge; Ibáñez, Javier On the backward and forward error of approximations of analytic functions and applications to the computation of matrix functions. (English) Zbl 1502.65022 J. Comput. Appl. Math. 419, Article ID 114706, 18 p. (2023). MSC: 65F60 65D15 15A16 26C15 41-04 41A10 PDFBibTeX XMLCite \textit{J. Sastre} and \textit{J. Ibáñez}, J. Comput. Appl. Math. 419, Article ID 114706, 18 p. (2023; Zbl 1502.65022) Full Text: DOI
Sastre, J.; Ibáñez, J.; Defez, E. Boosting the computation of the matrix exponential. (English) Zbl 1429.65093 Appl. Math. Comput. 340, 206-220 (2019). MSC: 65F60 15A16 PDFBibTeX XMLCite \textit{J. Sastre} et al., Appl. Math. Comput. 340, 206--220 (2019; Zbl 1429.65093) Full Text: DOI
Defez, Emilio; Ibáñez, Javier; Sastre, Jorge; Peinado, Jesús; Alonso, Pedro A new efficient and accurate spline algorithm for the matrix exponential computation. (English) Zbl 1398.65091 J. Comput. Appl. Math. 337, 354-365 (2018). MSC: 65F60 15A16 65D07 65Y10 PDFBibTeX XMLCite \textit{E. Defez} et al., J. Comput. Appl. Math. 337, 354--365 (2018; Zbl 1398.65091) Full Text: DOI Link
Sastre, Jorge; Ibáñez, Javier; Alonso, Pedro; Peinado, Jesús; Defez, Emilio Two algorithms for computing the matrix cosine function. (English) Zbl 1426.65059 Appl. Math. Comput. 312, 66-77 (2017). MSC: 65F60 15A16 PDFBibTeX XMLCite \textit{J. Sastre} et al., Appl. Math. Comput. 312, 66--77 (2017; Zbl 1426.65059) Full Text: DOI Link
Alonso, Pedro; Ibáñez, Javier; Sastre, Jorge; Peinado, Jesús; Defez, Emilio Efficient and accurate algorithms for computing matrix trigonometric functions. (English) Zbl 1416.65126 J. Comput. Appl. Math. 309, 325-332 (2017). MSC: 65F60 15A16 65Y05 PDFBibTeX XMLCite \textit{P. Alonso} et al., J. Comput. Appl. Math. 309, 325--332 (2017; Zbl 1416.65126) Full Text: DOI
Ruiz, P.; Sastre, J.; Ibáñez, J.; Defez, E. High performance computing of the matrix exponential. (English) Zbl 1329.65092 J. Comput. Appl. Math. 291, 370-379 (2016). MSC: 65F60 PDFBibTeX XMLCite \textit{P. Ruiz} et al., J. Comput. Appl. Math. 291, 370--379 (2016; Zbl 1329.65092) Full Text: DOI
Sastre, J.; Ibáñez, J.; Defez, E.; Ruiz, P. New scaling-squaring Taylor algorithms for computing the matrix exponential. (English) Zbl 1315.65046 SIAM J. Sci. Comput. 37, No. 1, A439-A455 (2015). MSC: 65F60 PDFBibTeX XMLCite \textit{J. Sastre} et al., SIAM J. Sci. Comput. 37, No. 1, A439--A455 (2015; Zbl 1315.65046) Full Text: DOI Link
Sastre, J.; Ibáñez, J.; Ruiz, P.; Defez, E. Accurate and efficient matrix exponential computation. (English) Zbl 1291.65139 Int. J. Comput. Math. 91, No. 1, 97-112 (2014). MSC: 65F30 65F35 65F60 PDFBibTeX XMLCite \textit{J. Sastre} et al., Int. J. Comput. Math. 91, No. 1, 97--112 (2014; Zbl 1291.65139) Full Text: DOI Link
Sastre, Jorge; Ibáñez, Javier; Ruiz, Pedro; Defez, Emilio Efficient computation of the matrix cosine. (English) Zbl 1288.65059 Appl. Math. Comput. 219, No. 14, 7575-7585 (2013). MSC: 65F60 PDFBibTeX XMLCite \textit{J. Sastre} et al., Appl. Math. Comput. 219, No. 14, 7575--7585 (2013; Zbl 1288.65059) Full Text: DOI
Sastre, J.; Ibáñez, J.; Defez, E.; Ruiz, P. Accurate matrix exponential computation to solve coupled differential models in engineering. (English) Zbl 1235.65042 Math. Comput. Modelling 54, No. 7-8, 1835-1840 (2011). MSC: 65F60 15A16 PDFBibTeX XMLCite \textit{J. Sastre} et al., Math. Comput. Modelling 54, No. 7--8, 1835--1840 (2011; Zbl 1235.65042) Full Text: DOI Link