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
Li, Dongping; Yang, Siyu; Lan, Jiamei Efficient and accurate computation for the \(\varphi\)-functions arising from exponential integrators. (English) Zbl 1485.65050 Calcolo 59, No. 1, Paper No. 11, 24 p. (2022). MSC: 65F60 65L05 PDFBibTeX XMLCite \textit{D. Li} et al., Calcolo 59, No. 1, Paper No. 11, 24 p. (2022; Zbl 1485.65050) Full Text: DOI arXiv
Wu, Feng; Zhang, Kailing; Zhu, Li; Hu, Jiayao High-performance computation of the exponential of a large sparse matrix. (English) Zbl 1480.65104 SIAM J. Matrix Anal. Appl. 42, No. 4, 1636-1655 (2021). MSC: 65F60 65F50 15A16 15A60 05C82 PDFBibTeX XMLCite \textit{F. Wu} et al., SIAM J. Matrix Anal. Appl. 42, No. 4, 1636--1655 (2021; Zbl 1480.65104) Full Text: DOI arXiv
Seydaoğlu, Muaz; Bader, Philipp; Blanes, Sergio; Casas, Fernando Computing the matrix sine and cosine simultaneously with a reduced number of products. (English) Zbl 1460.65047 Appl. Numer. Math. 163, 96-107 (2021). MSC: 65F60 PDFBibTeX XMLCite \textit{M. Seydaoğlu} et al., Appl. Numer. Math. 163, 96--107 (2021; Zbl 1460.65047) Full Text: DOI arXiv
Guo, Chun-Hua; Lu, Di A study of Schröder’s method for the matrix \(p\)th root using power series expansions. (English) Zbl 1434.65056 Numer. Algorithms 83, No. 1, 265-279 (2020). Reviewer: John D. Dixon (Ottawa) MSC: 65F60 65H04 41A58 PDFBibTeX XMLCite \textit{C.-H. Guo} and \textit{D. Lu}, Numer. Algorithms 83, No. 1, 265--279 (2020; Zbl 1434.65056) Full Text: DOI arXiv
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
Al-Mohy, Awad H. A truncated Taylor series algorithm for computing the action of trigonometric and hyperbolic matrix functions. (English) Zbl 1391.15031 SIAM J. Sci. Comput. 40, No. 3, A1696-A1713 (2018). MSC: 15A16 15A60 65F30 PDFBibTeX XMLCite \textit{A. H. Al-Mohy}, SIAM J. Sci. Comput. 40, No. 3, A1696--A1713 (2018; Zbl 1391.15031) Full Text: DOI arXiv
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
Higham, Nicholas J.; Kandolf, Peter Computing the action of trigonometric and hyperbolic matrix functions. (English) Zbl 1365.65135 SIAM J. Sci. Comput. 39, No. 2, A613-A627 (2017). MSC: 65F60 PDFBibTeX XMLCite \textit{N. J. Higham} and \textit{P. Kandolf}, SIAM J. Sci. Comput. 39, No. 2, A613--A627 (2017; Zbl 1365.65135) Full Text: DOI arXiv
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, 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
Xue, Jungong; Ye, Qiang Computing exponentials of essentially non-negative matrices entrywise to high relative accuracy. (English) Zbl 1279.65051 Math. Comput. 82, No. 283, 1577-1596 (2013). Reviewer: Edgar Pereira (Natal) MSC: 65F60 65F35 15A12 15A16 15B48 PDFBibTeX XMLCite \textit{J. Xue} and \textit{Q. Ye}, Math. Comput. 82, No. 283, 1577--1596 (2013; Zbl 1279.65051) 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
Dehghan, Mehdi; Hajarian, Masoud Computing matrix functions using mixed interpolation methods. (English) Zbl 1202.65059 Math. Comput. Modelling 52, No. 5-6, 826-836 (2010). MSC: 65F60 15A16 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{M. Hajarian}, Math. Comput. Modelling 52, No. 5--6, 826--836 (2010; Zbl 1202.65059) Full Text: DOI