Naranjo-Noda, F. S.; Jimenez, J. C. Computing high dimensional multiple integrals involving matrix exponentials. (English) Zbl 1506.65066 J. Comput. Appl. Math. 421, Article ID 114844, 6 p. (2023). MSC: 65F60 15A16 PDFBibTeX XMLCite \textit{F. S. Naranjo-Noda} and \textit{J. C. Jimenez}, J. Comput. Appl. Math. 421, Article ID 114844, 6 p. (2023; Zbl 1506.65066) Full Text: DOI
Burrage, Kevin; Burrage, Pamela; Macnamara, Shev Localization and pseudospectra of twisted Toeplitz matrices with applications to ion channels. (English) Zbl 1480.65080 SIAM J. Matrix Anal. Appl. 42, No. 4, 1656-1679 (2021). MSC: 65F15 65Z05 15B05 PDFBibTeX XMLCite \textit{K. Burrage} et al., SIAM J. Matrix Anal. Appl. 42, No. 4, 1656--1679 (2021; Zbl 1480.65080) Full Text: DOI
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
Botchev, Mike A.; Knizhnerman, Leonid; Tyrtyshnikov, Eugene E. Residual and restarting in Krylov subspace evaluation of the \(\varphi\) function. (English) Zbl 1491.65032 SIAM J. Sci. Comput. 43, No. 6, A3733-A3759 (2021). MSC: 65F60 15A16 65L05 PDFBibTeX XMLCite \textit{M. A. Botchev} et al., SIAM J. Sci. Comput. 43, No. 6, A3733--A3759 (2021; Zbl 1491.65032) Full Text: DOI arXiv
Botchev, M. A. An accurate restarting for shift-and-invert Krylov subspaces computing matrix exponential actions of nonsymmetric matrices. (English. Russian original) Zbl 1469.65087 Comput. Math. Math. Phys. 61, No. 5, 684-698 (2021); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 5, 706-722 (2021). MSC: 65F60 15A16 PDFBibTeX XMLCite \textit{M. A. Botchev}, Comput. Math. Math. Phys. 61, No. 5, 684--698 (2021; Zbl 1469.65087); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 5, 706--722 (2021) Full Text: DOI arXiv
Narayanamurthi, Mahesh; Sandu, Adrian Partitioned exponential methods for coupled multiphysics systems. (English) Zbl 1462.65130 Appl. Numer. Math. 161, 178-207 (2021). Reviewer: Bülent Karasözen (Ankara) MSC: 65M20 65L06 65L04 15A16 PDFBibTeX XMLCite \textit{M. Narayanamurthi} and \textit{A. Sandu}, Appl. Numer. Math. 161, 178--207 (2021; Zbl 1462.65130) Full Text: DOI arXiv
Jawecki, Tobias; Auzinger, Winfried; Koch, Othmar Computable upper error bounds for Krylov approximations to matrix exponentials and associated \(\varphi\)-functions. (English) Zbl 1432.65053 BIT 60, No. 1, 157-197 (2020). MSC: 65F60 15A16 65F15 PDFBibTeX XMLCite \textit{T. Jawecki} et al., BIT 60, No. 1, 157--197 (2020; Zbl 1432.65053) Full Text: DOI arXiv
Bertaccini, D.; Durastante, F. Computing functions of very large matrices with small TT/QTT ranks by quadrature formulas. (English) Zbl 1493.65082 J. Comput. Appl. Math. 370, Article ID 112663, 15 p. (2020). MSC: 65F99 65D30 15A23 15A69 PDFBibTeX XMLCite \textit{D. Bertaccini} and \textit{F. Durastante}, J. Comput. Appl. Math. 370, Article ID 112663, 15 p. (2020; Zbl 1493.65082) Full Text: DOI
Bertaccini, D.; Popolizio, M.; Durastante, F. Efficient approximation of functions of some large matrices by partial fraction expansions. (English) Zbl 1499.65156 Int. J. Comput. Math. 96, No. 9, 1799-1817 (2019). MSC: 65F60 65F08 15A23 PDFBibTeX XMLCite \textit{D. Bertaccini} et al., Int. J. Comput. Math. 96, No. 9, 1799--1817 (2019; Zbl 1499.65156) Full Text: DOI arXiv
Wu, Gang; Pang, Hong-Kui; Sun, Jiang-Li A shifted block FOM algorithm with deflated restarting for matrix exponential computations. (English) Zbl 1382.65126 Appl. Numer. Math. 127, 306-323 (2018). MSC: 65F60 15A16 PDFBibTeX XMLCite \textit{G. Wu} et al., Appl. Numer. Math. 127, 306--323 (2018; Zbl 1382.65126) Full Text: DOI
Dinh, Khanh N.; Sidje, Roger B. Analysis of inexact Krylov subspace methods for approximating the matrix exponential. (English) Zbl 07313838 Math. Comput. Simul. 138, 1-13 (2017). MSC: 15-XX 65Fxx PDFBibTeX XMLCite \textit{K. N. Dinh} and \textit{R. B. Sidje}, Math. Comput. Simul. 138, 1--13 (2017; Zbl 07313838) Full Text: DOI
Sadkane, Miloud; Sidje, Roger B. An alternating maximization method for approximating the hump of the matrix exponential. (English) Zbl 1378.65097 BIT 57, No. 3, 609-628 (2017). Reviewer: Adhemar Bultheel (Leuven) MSC: 65F60 65K10 49J05 15A18 PDFBibTeX XMLCite \textit{M. Sadkane} and \textit{R. B. Sidje}, BIT 57, No. 3, 609--628 (2017; Zbl 1378.65097) Full Text: DOI
Cong, Yuhao; Li, Dongping Block Krylov subspace methods for approximating the linear combination of \(\varphi\)-functions arising in exponential integrators. (English) Zbl 1359.65069 Comput. Math. Appl. 72, No. 4, 846-855 (2016). MSC: 65F60 15A16 PDFBibTeX XMLCite \textit{Y. Cong} and \textit{D. Li}, Comput. Math. Appl. 72, No. 4, 846--855 (2016; Zbl 1359.65069) Full Text: DOI
Jagels, Carl; Mach, Thomas; Reichel, Lothar; Vandebril, Raf Convergence rates for inverse-free rational approximation of matrix functions. (English) Zbl 1352.65135 Linear Algebra Appl. 510, 291-310 (2016). MSC: 65F60 65F10 47J25 15A16 PDFBibTeX XMLCite \textit{C. Jagels} et al., Linear Algebra Appl. 510, 291--310 (2016; Zbl 1352.65135) Full Text: DOI
Jia, Zhongxiao; Lv, Hui A posteriori error estimates of Krylov subspace approximations to matrix functions. (English) Zbl 1331.65069 Numer. Algorithms 69, No. 1, 1-28 (2015). Reviewer: João R. Cardoso (Coimbra) MSC: 65F60 65F10 15A16 PDFBibTeX XMLCite \textit{Z. Jia} and \textit{H. Lv}, Numer. Algorithms 69, No. 1, 1--28 (2015; Zbl 1331.65069) Full Text: DOI arXiv
Lubich, Christian; Oseledets, Ivan V.; Vandereycken, Bart Time integration of tensor trains. (English) Zbl 1312.65114 SIAM J. Numer. Anal. 53, No. 2, 917-941 (2015). MSC: 65L05 15A18 15A69 65F99 PDFBibTeX XMLCite \textit{C. Lubich} et al., SIAM J. Numer. Anal. 53, No. 2, 917--941 (2015; Zbl 1312.65114) Full Text: DOI arXiv
Kandolf, Peter; Ostermann, Alexander; Rainer, Stefan A residual based error estimate for Leja interpolation of matrix functions. (English) Zbl 1293.65075 Linear Algebra Appl. 456, 157-173 (2014). MSC: 65F60 15A16 65D05 PDFBibTeX XMLCite \textit{P. Kandolf} et al., Linear Algebra Appl. 456, 157--173 (2014; Zbl 1293.65075) 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
Momoniat, E. Matrix exponentiation and the Frank-Kamenetskii equation. (English) Zbl 1264.65071 Math. Probl. Eng. 2012, Article ID 713798, 14 p. (2012). MSC: 65F60 15A16 PDFBibTeX XMLCite \textit{E. Momoniat}, Math. Probl. Eng. 2012, Article ID 713798, 14 p. (2012; Zbl 1264.65071) Full Text: DOI
Moore, Gerald Orthogonal polynomial expansions for the matrix exponential. (English) Zbl 1217.65078 Linear Algebra Appl. 435, No. 3, 537-559 (2011). MSC: 65F30 15A16 PDFBibTeX XMLCite \textit{G. Moore}, Linear Algebra Appl. 435, No. 3, 537--559 (2011; Zbl 1217.65078) Full Text: DOI
Xue, Jungong; Ye, Qiang Entrywise relative perturbation bounds for exponentials of essentially non-negative matrices. (English) Zbl 1163.65021 Numer. Math. 110, No. 3, 393-403 (2008). Reviewer: Georg Hebermehl (Berlin) MSC: 65F30 15A42 15A54 15A12 65C40 60J25 60J22 PDFBibTeX XMLCite \textit{J. Xue} and \textit{Q. Ye}, Numer. Math. 110, No. 3, 393--403 (2008; Zbl 1163.65021) Full Text: DOI
Sidje, Roger B.; Burrage, K. QRT: A QR-based tridiagonalization algorithm for nonsymmetric matrices. (English) Zbl 1081.65040 SIAM J. Matrix Anal. Appl. 26, No. 3, 878-900 (2005). Reviewer: Sonia Pérez Díaz (Madrid) MSC: 65F30 65F15 65F25 15A21 PDFBibTeX XMLCite \textit{R. B. Sidje} and \textit{K. Burrage}, SIAM J. Matrix Anal. Appl. 26, No. 3, 878--900 (2005; Zbl 1081.65040) Full Text: DOI Link