Cardone, Angelamaria; De Luca, Pasquale; Galletti, Ardelio; Marcellino, Livia Solving time-fractional reaction-diffusion systems through a tensor-based parallel algorithm. (English) Zbl 1512.65225 Physica A 611, Article ID 128472, 10 p. (2023). Reviewer: Xiaofei Zhao (Wuhan) MSC: 65M70 65N06 65Y10 68Q32 35R11 15A24 15A69 PDFBibTeX XMLCite \textit{A. Cardone} et al., Physica A 611, Article ID 128472, 10 p. (2023; Zbl 1512.65225) Full Text: DOI
Novaković, Vedran; Singer, Sanja A Kogbetliantz-type algorithm for the hyperbolic SVD. (English) Zbl 1492.65091 Numer. Algorithms 90, No. 2, 523-561 (2022). MSC: 65F15 65Y05 15A18 PDFBibTeX XMLCite \textit{V. Novaković} and \textit{S. Singer}, Numer. Algorithms 90, No. 2, 523--561 (2022; Zbl 1492.65091) Full Text: DOI arXiv
Defez, E.; Ibáñez, J.; Peinado, J.; Alonso-Jordá, P.; Alonso, José M. New Hermite series expansion for computing the matrix hyperbolic cosine. (English) Zbl 1484.65087 J. Comput. Appl. Math. 408, Article ID 114084, 14 p. (2022). MSC: 65F60 15A16 PDFBibTeX XMLCite \textit{E. Defez} et al., J. Comput. Appl. Math. 408, Article ID 114084, 14 p. (2022; Zbl 1484.65087) Full Text: DOI
Keyes, D. E.; Ltaief, H.; Turkiyyah, G. Hierarchical algorithms on hierarchical architectures. (English) Zbl 1462.65048 Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 378, No. 2166, Article ID 20190055, 16 p. (2020). MSC: 65F99 15A23 PDFBibTeX XMLCite \textit{D. E. Keyes} et al., Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 378, No. 2166, Article ID 20190055, 16 p. (2020; Zbl 1462.65048) Full Text: DOI
Bohacek, Jan; Kharicha, Abdellah; Ludwig, Andreas; Wu, Menghuai; Holzmann, Tobias; Karimi-Sibaki, Ebrahim A GPU solver for symmetric positive-definite matrices vs. traditional codes. (English) Zbl 1443.65061 Comput. Math. Appl. 78, No. 9, 2933-2943 (2019). MSC: 65F99 15B48 65Y10 PDFBibTeX XMLCite \textit{J. Bohacek} et al., Comput. Math. Appl. 78, No. 9, 2933--2943 (2019; Zbl 1443.65061) Full Text: DOI
Erofeev, K. Yu.; Khramchenkov, E. M.; Biryal’tsev, E. V. High-performance processing of covariance matrices using GPU computations. (English) Zbl 1431.65032 Lobachevskii J. Math. 40, No. 5, 547-554 (2019). MSC: 65F10 15B05 PDFBibTeX XMLCite \textit{K. Yu. Erofeev} et al., Lobachevskii J. Math. 40, No. 5, 547--554 (2019; Zbl 1431.65032) Full Text: DOI
Sastre, Jorge; Ibáñez, Javier; Alonso-Jordá, Pedro; Peinado, Jesús; Defez, Emilio Fast Taylor polynomial evaluation for the computation of the matrix cosine. (English) Zbl 1434.65059 J. Comput. Appl. Math. 354, 641-650 (2019). MSC: 65F60 15A16 PDFBibTeX XMLCite \textit{J. Sastre} et al., J. Comput. Appl. Math. 354, 641--650 (2019; Zbl 1434.65059) Full Text: DOI Link
Defez, Emilio; Ibáñez, Javier; Peinado, Jesús; Sastre, Jorge; Alonso-Jordá, Pedro An efficient and accurate algorithm for computing the matrix cosine based on new Hermite approximations. (English) Zbl 1458.65048 J. Comput. Appl. Math. 348, 1-13 (2019). MSC: 65F60 15A16 65Y05 PDFBibTeX XMLCite \textit{E. Defez} et al., J. Comput. Appl. Math. 348, 1--13 (2019; Zbl 1458.65048) Full Text: DOI Link
Dongarra, Jack; Gates, Mark; Haidar, Azzam; Kurzak, Jakub; Luszczek, Piotr; Tomov, Stanimire; Yamazaki, Ichitaro The singular value decomposition: anatomy of optimizing an algorithm for extreme scale. (English) Zbl 1410.65114 SIAM Rev. 60, No. 4, 808-865 (2018). Reviewer: Wei-Ru Xu (Chengdu) MSC: 65F15 65Y15 15A18 15A23 65Y05 PDFBibTeX XMLCite \textit{J. Dongarra} et al., SIAM Rev. 60, No. 4, 808--865 (2018; Zbl 1410.65114) 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
Shabat, Gil; Shmueli, Yaniv; Aizenbud, Yariv; Averbuch, Amir Randomized LU decomposition. (English) Zbl 1380.65077 Appl. Comput. Harmon. Anal. 44, No. 2, 246-272 (2018). MSC: 65F20 65F05 15B52 PDFBibTeX XMLCite \textit{G. Shabat} et al., Appl. Comput. Harmon. Anal. 44, No. 2, 246--272 (2018; Zbl 1380.65077) Full Text: DOI arXiv
Gentle, James E. Matrix algebra. Theory, computations and applications in statistics. 2nd edition. (English) Zbl 1386.15002 Springer Texts in Statistics. Cham: Springer (ISBN 978-3-319-64866-8/pbk; 978-3-319-64867-5/ebook). xxix, 648 p. (2017). Reviewer: Frank Uhlig (Auburn) MSC: 15-01 62-01 65-01 PDFBibTeX XMLCite \textit{J. E. Gentle}, Matrix algebra. Theory, computations and applications in statistics. 2nd edition. Cham: Springer (2017; Zbl 1386.15002) Full Text: DOI
Chen, Cheng; Fang, Jianbin; Tang, Tao; Yang, Canqun LU factorization on heterogeneous systems: an energy-efficient approach towards high performance. (English) Zbl 1372.65091 Computing 99, No. 8, 791-811 (2017). MSC: 65F05 15A23 65Y05 65Y10 65Y20 PDFBibTeX XMLCite \textit{C. Chen} et al., Computing 99, No. 8, 791--811 (2017; Zbl 1372.65091) Full Text: DOI
Tingelstad, Lars; Egeland, Olav Automatic multivector differentiation and optimization. (English) Zbl 1367.65034 Adv. Appl. Clifford Algebr. 27, No. 1, 707-731 (2017). MSC: 65D25 65K05 15A66 90C30 70E15 PDFBibTeX XMLCite \textit{L. Tingelstad} and \textit{O. Egeland}, Adv. Appl. Clifford Algebr. 27, No. 1, 707--731 (2017; Zbl 1367.65034) Full Text: DOI
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
Defez, Emilio; Sastre, Jorge; Ibáñez, Javier; Peinado, Jesús Solving engineering models using hyperbolic matrix functions. (English) Zbl 1452.65083 Appl. Math. Modelling 40, No. 4, 2837-2844 (2016). MSC: 65F60 15A16 35L53 PDFBibTeX XMLCite \textit{E. Defez} et al., Appl. Math. Modelling 40, No. 4, 2837--2844 (2016; Zbl 1452.65083) Full Text: DOI
Naumov, M.; Arsaev, M.; Castonguay, P.; Cohen, J.; Demouth, J.; Eaton, J.; Layton, S.; Markovskiy, N.; Reguly, I.; Sakharnykh, N.; Sellappan, V.; Strzodka, R. AmgX: a library for GPU accelerated algebraic multigrid and preconditioned iterative methods. (English) Zbl 1325.65065 SIAM J. Sci. Comput. 37, No. 5, S602-S626 (2015). MSC: 65F50 15-04 65F08 05C15 PDFBibTeX XMLCite \textit{M. Naumov} et al., SIAM J. Sci. Comput. 37, No. 5, S602--S626 (2015; Zbl 1325.65065) Full Text: DOI Link
Chebotarev, Alexander M.; Teretenkov, Alexander E. Singular value decomposition for the Takagi factorization of symmetric matrices. (English) Zbl 1303.65022 Appl. Math. Comput. 234, 380-384 (2014). MSC: 65F20 15A23 PDFBibTeX XMLCite \textit{A. M. Chebotarev} and \textit{A. E. Teretenkov}, Appl. Math. Comput. 234, 380--384 (2014; Zbl 1303.65022) Full Text: DOI
Charrier, Patrick; Klimek, Mariusz; Steinmetz, Christian; Hildenbrand, Dietmar Geometric algebra enhanced precompiler for C++, OpenCL and Mathematica’s OpenCLLink. (English) Zbl 1299.15001 Adv. Appl. Clifford Algebr. 24, No. 2, 613-630 (2014). MSC: 15-04 PDFBibTeX XMLCite \textit{P. Charrier} et al., Adv. Appl. Clifford Algebr. 24, No. 2, 613--630 (2014; Zbl 1299.15001) Full Text: DOI
Dubois, Jérôme; Calvin, Christophe; Petiton, Serge Accelerating the explicitly restarted Arnoldi method with GPUs using an autotuned matrix vector product. (English) Zbl 1232.65193 SIAM J. Sci. Comput. 33, No. 5, 3010-3019 (2011). MSC: 65Y05 65F15 15A18 68W10 65-04 PDFBibTeX XMLCite \textit{J. Dubois} et al., SIAM J. Sci. Comput. 33, No. 5, 3010--3019 (2011; Zbl 1232.65193) Full Text: DOI
Luo, Yuancheng; Duraiswami, Ramani Efficient parallel nonnegative least squares on multicore architectures. (English) Zbl 1232.65194 SIAM J. Sci. Comput. 33, No. 5, 2848-2863 (2011). MSC: 65Y05 65Y20 15A06 15A23 PDFBibTeX XMLCite \textit{Y. Luo} and \textit{R. Duraiswami}, SIAM J. Sci. Comput. 33, No. 5, 2848--2863 (2011; Zbl 1232.65194) Full Text: DOI Link