Evstigneev, N. M.; Ryabkov, O. I.; Bocharov, A. N.; Petrovskiy, V. P.; Teplyakov, I. O. Compensated summation and dot product algorithms for floating-point vectors on parallel architectures: error bounds, implementation and application in the Krylov subspace methods. (English) Zbl 1492.65374 J. Comput. Appl. Math. 414, Article ID 114434, 37 p. (2022). MSC: 65Y10 65Y05 65G50 65F08 PDFBibTeX XMLCite \textit{N. M. Evstigneev} et al., J. Comput. Appl. Math. 414, Article ID 114434, 37 p. (2022; Zbl 1492.65374) Full Text: DOI
Świrydowicz, Katarzyna; Langou, Julien; Ananthan, Shreyas; Yang, Ulrike; Thomas, Stephen Low synchronization Gram-Schmidt and generalized minimal residual algorithms. (English) Zbl 1474.65103 Numer. Linear Algebra Appl. 28, No. 2, e2343, 20 p. (2021). Reviewer: Miroslav Rozloznik MSC: 65F25 65F10 65Y05 PDFBibTeX XMLCite \textit{K. Świrydowicz} et al., Numer. Linear Algebra Appl. 28, No. 2, e2343, 20 p. (2021; Zbl 1474.65103) Full Text: DOI
Li, Ruipeng; Xi, Yuanzhe; Erlandson, Lucas; Saad, Yousef The eigenvalues slicing library (EVSL): algorithms, implementation, and software. (English) Zbl 1420.65050 SIAM J. Sci. Comput. 41, No. 4, C393-C415 (2019). MSC: 65F15 65F25 65F50 PDFBibTeX XMLCite \textit{R. Li} et al., SIAM J. Sci. Comput. 41, No. 4, C393--C415 (2019; Zbl 1420.65050) Full Text: DOI arXiv
Li, Ang; Serban, Radu; Negrut, Dan Analysis of a splitting approach for the parallel solution of linear systems on GPU cards. (English) Zbl 1366.65050 SIAM J. Sci. Comput. 39, No. 3, C215-C237 (2017). MSC: 65F10 65F08 65F50 65Y05 PDFBibTeX XMLCite \textit{A. Li} et al., SIAM J. Sci. Comput. 39, No. 3, C215--C237 (2017; Zbl 1366.65050) Full Text: DOI arXiv
Fagerlund, Olav Aanes; Kitayama, Takeshi; Hashimoto, Gaku; Okuda, Hiroshi Effect of GPU communication-hiding for SpMV using OpenACC. (English) Zbl 1359.65066 Int. J. Comput. Methods 13, No. 2, Article ID 1640011, 14 p. (2016). MSC: 65F50 65Y10 PDFBibTeX XMLCite \textit{O. A. Fagerlund} et al., Int. J. Comput. Methods 13, No. 2, Article ID 1640011, 14 p. (2016; Zbl 1359.65066) Full Text: DOI
Magoulès, Frédéric; Cheik Ahamed, Abal-Kassim; Putanowicz, Roman Optimized Schwarz method without overlap for the gravitational potential equation on cluster of graphics processing unit. (English) Zbl 1357.65040 Int. J. Comput. Math. 93, No. 6, 955-980 (2016). MSC: 65F10 65Y05 65Y10 65N55 68W10 49M27 PDFBibTeX XMLCite \textit{F. Magoulès} et al., Int. J. Comput. Math. 93, No. 6, 955--980 (2016; Zbl 1357.65040) Full Text: DOI
Haase, Gundolf; Martin, Dirk; Offner, Günter Towards RBF interpolation on heterogeneous HPC systems. (English) Zbl 07227064 Lirkov, Ivan (ed.) et al., Large-scale scientific computing. 10th international conference, LSSC 2015, Sozopol, Bulgaria, June 8–12, 2015. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 9374, 182-190 (2015). MSC: 65-XX PDFBibTeX XMLCite \textit{G. Haase} et al., Lect. Notes Comput. Sci. 9374, 182--190 (2015; Zbl 07227064) Full Text: DOI Link
Beerwerth, Randolf; Bauke, Heiko Krylov subspace methods for the Dirac equation. (English) Zbl 1344.81009 Comput. Phys. Commun. 188, 189-197 (2015). MSC: 81-04 35Q41 81Q05 81-08 PDFBibTeX XMLCite \textit{R. Beerwerth} and \textit{H. Bauke}, Comput. Phys. Commun. 188, 189--197 (2015; Zbl 1344.81009) Full Text: DOI arXiv
Magoulès, Frédéric; Ahamed, Abal-Kassim Cheik; Putanowicz, Roman Auto-tuned Krylov methods on cluster of graphics processing unit. (English) Zbl 1314.65049 Int. J. Comput. Math. 92, No. 6, 1222-1250 (2015). MSC: 65F10 65F50 65Y05 65Y10 PDFBibTeX XMLCite \textit{F. Magoulès} et al., Int. J. Comput. Math. 92, No. 6, 1222--1250 (2015; Zbl 1314.65049) Full Text: DOI
Aune, Erlend; Eidsvik, Jo; Pokern, Yvo Iterative numerical methods for sampling from high dimensional Gaussian distributions. (English) Zbl 1325.65020 Stat. Comput. 23, No. 4, 501-521 (2013). MSC: 65C60 62-07 65F10 86A32 PDFBibTeX XMLCite \textit{E. Aune} et al., Stat. Comput. 23, No. 4, 501--521 (2013; Zbl 1325.65020) Full Text: DOI
Lowell, Daniel; Godwin, Jeswin; Holewinski, Justin; Karthik, Deepan; Choudary, Chekuri; Mametjanov, Azamat; Norris, Boyana; Sabin, Gerald; Sadayappan, P.; Sarich, Jason Stencil-aware GPU optimization of iterative solvers. (English) Zbl 1281.65138 SIAM J. Sci. Comput. 35, No. 5, S209-S228 (2013). MSC: 65N06 35J60 65F10 65F50 65N50 PDFBibTeX XMLCite \textit{D. Lowell} et al., SIAM J. Sci. Comput. 35, No. 5, S209--S228 (2013; Zbl 1281.65138) Full Text: DOI Link
Knibbe, H.; Oosterlee, C. W.; Vuik, C. GPU implementation of a Helmholtz Krylov solver preconditioned by a shifted Laplace multigrid method. (English) Zbl 1228.65208 J. Comput. Appl. Math. 236, No. 3, 281-293 (2011). MSC: 65N06 35J05 65F08 65F10 65N12 65N55 PDFBibTeX XMLCite \textit{H. Knibbe} et al., J. Comput. Appl. Math. 236, No. 3, 281--293 (2011; Zbl 1228.65208) Full Text: DOI