Publications

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2022
Alomairy, R., M. Gates, S. Cayrols, D. Sukkari, K. Akbudak, A. YarKhan, P. Bagwell, and J. Dongarra, “Communication Avoiding LU with Tournament Pivoting in SLATE,” SLATE Working Notes, no. 18, ICL-UT-22-01, January 2022.  (3.74 MB)
Sid-Lakhdar, W. M., S. Cayrols, D. Bielich, A. Abdelfattah, P. Luszczek, M. Gates, S. Tomov, H. Johansen, D. Williams-Young, T. A. Davis, et al., “PAQR: Pivoting Avoiding QR factorization,” ICL Technical Report, no. ICL-UT-22-06, June 2022.  (364.85 KB)
Lindquist, N., M. Gates, P. Luszczek, and J. Dongarra, “Threshold Pivoting for Dense LU Factorization,” ScalAH22: 13th Workshop on Latest Advances in Scalable Algorithms for Large-Scale Heterogeneous Systems , Dallas, Texas, IEEE, November 2022. DOI: 10.1109/ScalAH56622.2022.00010  (721.77 KB)
2021
Abdelfattah, A., T. Costa, J. Dongarra, M. Gates, A. Haidar, S. Hammarling, N. J. Higham, J. Kurzak, P. Luszczek, S. Tomov, et al., “A Set of Batched Basic Linear Algebra Subprograms and LAPACK Routines,” ACM Transactions on Mathematical Software (TOMS), vol. 47, no. 3, pp. 1–23, 2021. DOI: 10.1145/3431921
Akbudak, K., P. Bagwell, S. Cayrols, M. Gates, D. Sukkari, A. YarKhan, and J. Dongarra, “SLATE Performance Improvements: QR and Eigenvalues,” SLATE Working Notes, no. 17, ICL-UT-21-02, April 2021.  (2 MB)
Abdelfattah, A., M. Al Farhan, C. Brown, M. Gates, D. Sukkari, A. YarKhan, and J. Dongarra, “SLATE Port to AMD and Intel Platforms,” SLATE Working Notes, no. 16, ICL-UT-21-01, April 2021.  (890.75 KB)
Abdelfattah, A., H. Anzt, E. G. Boman, E. Carson, T. Cojean, J. Dongarra, A. Fox, M. Gates, N. J. Higham, X. S. Li, et al., “A survey of numerical linear algebra methods utilizing mixed-precision arithmetic,” The International Journal of High Performance Computing Applications, vol. 35, no. 4, pp. 344–369, 2021. DOI: 10.1177/10943420211003313
Bak, S., O. Hernandez, M. Gates, P. Luszczek, and V. Sarkar, “Task-graph scheduling extensions for efficient synchronization and communication,” Proceedings of the ACM International Conference on Supercomputing, pp. 88–101, 2021. DOI: 10.1145/3447818.3461616
Dongarra, J., M. Gates, P. Luszczek, and S. Tomov, “Translational process: Mathematical software perspective,” Journal of Computational Science, vol. 52, pp. 101216, 2021. DOI: 10.1016/j.jocs.2020.101216
2020
Gates, M., S. Tomov, H. Anzt, P. Luszczek, and J. Dongarra, Clover: Computational Libraries Optimized via Exascale Research , Houston, TX, 2020 Exascale Computing Project Annual Meeting, February 2020.  (872 KB)
Farhan, M. Al, A. Abdelfattah, S. Tomov, M. Gates, D. Sukkari, A. Haidar, R. Rosenberg, and J. Dongarra, “MAGMA Templates for Scalable Linear Algebra on Emerging Architectures,” The International Journal of High Performance Computing Applications, vol. 34, issue 6, pp. 645-658, November 2020. DOI: 10.1177/1094342020938421
Gates, M., A. Charara, A. YarKhan, D. Sukkari, M. Al Farhan, and J. Dongarra, “Performance Tuning SLATE,” SLATE Working Notes, no. 14, ICL-UT-20-01: Innovative Computing Laboratory, University of Tennessee, January 2020.  (1.29 MB)
Abdelfattah, A., T. Costa, J. Dongarra, M. Gates, A. Haidar, S. Hammarling, N. J. Higham, J. Kurzak, P. Luszczek, S. Tomov, et al., “A Set of Batched Basic Linear Algebra Subprograms,” ACM Transactions on Mathematical Software, October 2020.
YarKhan, A., M. Al Farhan, D. Sukkari, M. Gates, and J. Dongarra, “SLATE Performance Report: Updates to Cholesky and LU Factorizations,” Innovative Computing Laboratory Technical Report, no. ICL-UT-20-14: University of Tennessee, October 2020.  (1.64 MB)
Gates, M., A. Charara, J. Kurzak, A. YarKhan, M. Al Farhan, D. Sukkari, and J. Dongarra, SLATE: Software for Linear Algebra Targeting Exascale (POSTER) , Houston, TX, 2020 Exascale Computing Project Annual Meeting, February 2020.  (546.56 KB)
Gates, M., J. Kurzak, A. YarKhan, A. Charara, J. Finney, D. Sukkari, M. Al Farhan, I. Yamazaki, P. Wu, and J. Dongarra, SLATE Tutorial , Houston, TX, 2020 ECP Annual Meeting, February 2020.  (12.14 MB)
Gates, M., A. Charara, J. Kurzak, A. YarKhan, M. Al Farhan, D. Sukkari, and J. Dongarra, “SLATE Users' Guide,” SLATE Working Notes, no. 10, ICL-UT-19-01: Innovative Computing Laboratory, University of Tennessee, July 2020.  (1.51 MB)
Abdelfattah, A., H. Anzt, E. Boman, E. Carson, T. Cojean, J. Dongarra, M. Gates, T. Gruetzmacher, N. J. Higham, S. Li, et al., “A Survey of Numerical Methods Utilizing Mixed Precision Arithmetic,” SLATE Working Notes, no. 15, ICL-UT-20-08: University of Tennessee, July 2020.  (3.98 MB)
Dongarra, J., M. Gates, P. Luszczek, and S. Tomov, “Translational Process: Mathematical Software Perspective,” Journal of Computational Science, September 2020. DOI: 10.1016/j.jocs.2020.101216  (752.59 KB)
Dongarra, J., M. Gates, P. Luszczek, and S. Tomov, “Translational Process: Mathematical Software Perspective,” Innovative Computing Laboratory Technical Report, no. ICL-UT-20-11, August 2020.  (752.59 KB)
2019
Kurzak, J., M. Gates, A. Charara, A. YarKhan, and J. Dongarra, “Least Squares Solvers for Distributed-Memory Machines with GPU Accelerators,” ACM International Conference on Supercomputing (ICS '19), Phoenix, Arizona, ACM, pp. 117–126, June 2019. DOI: https://dl.acm.org/doi/abs/10.1145/3330345.3330356  (1.63 MB)
Kurzak, J., M. Gates, A. Charara, A. YarKhan, I. Yamazaki, and J. Dongarra, “Linear Systems Solvers for Distributed-Memory Machines with GPU Accelerators,” Euro-Par 2019: Parallel Processing, vol. 11725: Springer, pp. 495–506, August 2019. DOI: 10.1007/978-3-030-29400-7_35
Kurzak, J., Y. Tsai, M. Gates, A. Abdelfattah, and J. Dongarra, “Massively Parallel Automated Software Tuning,” 48th International Conference on Parallel Processing (ICPP 2019), Kyoto, Japan, ACM Press, August 2019. DOI: 10.1145/3337821.3337908  (911.88 KB)
Dongarra, J., M. Gates, A. Haidar, J. Kurzak, P. Luszczek, P. Wu, I. Yamazaki, A. YarKhan, M. Abalenkovs, N. Bagherpour, et al., “PLASMA: Parallel Linear Algebra Software for Multicore Using OpenMP,” ACM Transactions on Mathematical Software, vol. 45, issue 2, June 2019. DOI: 10.1145/3264491  (7.5 MB)
Gates, M., J. Kurzak, A. Charara, A. YarKhan, and J. Dongarra, “SLATE: Design of a Modern Distributed and Accelerated Linear Algebra Library,” International Conference for High Performance Computing, Networking, Storage and Analysis (SC19), Denver, CO, ACM, November 2019. DOI: 10.1145/3295500.3356223  (2.01 MB)
Gates, M., J. Kurzak, A. Charara, A. YarKhan, and J. Dongarra, SLATE: Design of a Modern Distributed and Accelerated Linear Algebra Library , Denver, CO, International Conference for High Performance Computing, Networking, Storage and Analysis (SC19), November 2019.  (16.19 MB)
Charara, A., M. Gates, J. Kurzak, A. YarKhan, and J. Dongarra, “SLATE Developers' Guide,” SLATE Working Notes, no. 11, ICL-UT-19-02: Innovative Computing Laboratory, University of Tennessee, December 2019.  (1.68 MB)
Charara, A., J. Dongarra, M. Gates, J. Kurzak, and A. YarKhan, “SLATE Mixed Precision Performance Report,” Innovative Computing Laboratory Technical Report, no. ICL-UT-19-03: University of Tennessee, April 2019.  (1.04 MB)
Kurzak, J., M. Gates, A. Charara, A. YarKhan, and J. Dongarra, “SLATE Working Note 12: Implementing Matrix Inversions,” SLATE Working Notes, no. 12, ICL-UT-19-04: Innovative Computing Laboratory, University of Tennessee, June 2019.  (1.95 MB)
Gates, M., M. Al Farhan, A. Charara, J. Kurzak, D. Sukkari, A. YarKhan, and J. Dongarra, “SLATE Working Note 13: Implementing Singular Value and Symmetric/Hermitian Eigenvalue Solvers,” SLATE Working Notes, no. 13, ICL-UT-19-07: Innovative Computing Laboratory, University of Tennessee, September 2019.  (3.47 MB)
2018
Tomov, S., M. Gates, and A. Haidar, Accelerating Linear Algebra with MAGMA , Knoxville, TN, ECP Annual Meeting 2018, Tutorial, February 2018.  (35.27 MB)
Gates, M., S. Tomov, and J. Dongarra, “Accelerating the SVD Two Stage Bidiagonal Reduction and Divide and Conquer Using GPUs,” Parallel Computing, vol. 74, pp. 3–18, May 2018. DOI: 10.1016/j.parco.2017.10.004  (1.34 MB)
Dongarra, J., M. Gates, J. Kurzak, P. Luszczek, and Y. Tsai, “Autotuning Numerical Dense Linear Algebra for Batched Computation With GPU Hardware Accelerators,” Proceedings of the IEEE, vol. 106, issue 11, pp. 2040–2055, November 2018. DOI: 10.1109/JPROC.2018.2868961  (2.53 MB)
Dongarra, J., I. Duff, M. Gates, A. Haidar, S. Hammarling, N. J. Higham, J. Hogg, P. Valero Lara, P. Luszczek, M. Zounon, et al., Batched BLAS (Basic Linear Algebra Subprograms) 2018 Specification , July 2018.  (483.05 KB)
Sun, J., J. Fu, J. Drake, Q. Zhu, A. Haidar, M. Gates, S. Tomov, and J. Dongarra, “Computational Benefit of GPU Optimization for Atmospheric Chemistry Modeling,” Journal of Advances in Modeling Earth Systems, vol. 10, issue 8, pp. 1952–1969, August 2018. DOI: 10.1029/2018MS001276  (3.4 MB)
Abdelfattah, A., M. Gates, J. Kurzak, P. Luszczek, and J. Dongarra, “Implementation of the C++ API for Batch BLAS,” SLATE Working Notes, no. 07, ICL-UT-18-04: Innovative Computing Laboratory, University of Tennessee, June 2018.  (1.07 MB)
Gates, M., A. Charara, J. Kurzak, A. YarKhan, I. Yamazaki, and J. Dongarra, “Least Squares Performance Report,” SLATE Working Notes, no. 09, ICL-UT-18-10: Innovative Computing Laboratory, University of Tennessee, December 2018.  (1.76 MB)
Kurzak, J., M. Gates, I. Yamazaki, A. Charara, A. YarKhan, J. Finney, G. Ragghianti, P. Luszczek, and J. Dongarra, “Linear Systems Performance Report,” SLATE Working Notes, no. 08, ICL-UT-18-08: Innovative Computing Laboratory, University of Tennessee, September 2018.  (1.64 MB)
Kurzak, J., M. Gates, A. YarKhan, I. Yamazaki, P. Wu, P. Luszczek, J. Finney, and J. Dongarra, “Parallel BLAS Performance Report,” SLATE Working Notes, no. 05, ICL-UT-18-01: University of Tennessee, April 2018.  (4.39 MB)
Kurzak, J., M. Gates, A. YarKhan, I. Yamazaki, P. Luszczek, J. Finney, and J. Dongarra, “Parallel Norms Performance Report,” SLATE Working Notes, no. 06, ICL-UT-18-06: Innovative Computing Laboratory, University of Tennessee, June 2018.  (1.13 MB)
Dongarra, J., M. Gates, A. Haidar, J. Kurzak, P. Luszczek, S. Tomov, and I. Yamazaki, “The Singular Value Decomposition: Anatomy of Optimizing an Algorithm for Extreme Scale,” SIAM Review, vol. 60, issue 4, pp. 808–865, November 2018. DOI: 10.1137/17M1117732  (2.5 MB)
2017
Gates, M., J. Kurzak, P. Luszczek, Y. Pei, and J. Dongarra, “Autotuning Batch Cholesky Factorization in CUDA with Interleaved Layout of Matrices,” Parallel and Distributed Processing Symposium Workshops (IPDPSW), Orlando, FL, IEEE, June 2017. DOI: 10.1109/IPDPSW.2017.18
Anzt, H., J. Dongarra, M. Gates, J. Kurzak, P. Luszczek, S. Tomov, and I. Yamazaki, “Bringing High Performance Computing to Big Data Algorithms,” Handbook of Big Data Technologies: Springer, 2017. DOI: 10.1007/978-3-319-49340-4  (1.22 MB)
Abdelfattah, A., K. Arturov, C. Cecka, J. Dongarra, C. Freitag, M. Gates, A. Haidar, J. Kurzak, P. Luszczek, S. Tomov, et al., “C++ API for Batch BLAS,” SLATE Working Notes, no. 04, ICL-UT-17-12: University of Tennessee, December 2017.  (1.89 MB)
Gates, M., P. Luszczek, A. Abdelfattah, J. Kurzak, J. Dongarra, K. Arturov, C. Cecka, and C. Freitag, “C++ API for BLAS and LAPACK,” SLATE Working Notes, no. 02, ICL-UT-17-03: Innovative Computing Laboratory, University of Tennessee, June 2017.  (1.12 MB)
Kurzak, J., P. Wu, M. Gates, I. Yamazaki, P. Luszczek, G. Ragghianti, and J. Dongarra, “Designing SLATE: Software for Linear Algebra Targeting Exascale,” SLATE Working Notes, no. 03, ICL-UT-17-06: Innovative Computing Laboratory, University of Tennessee, October 2017.  (2.8 MB)
Anzt, H., E. Boman, J. Dongarra, G. Flegar, M. Gates, M. Heroux, M. Hoemmen, J. Kurzak, P. Luszczek, S. Rajamanickam, et al., “MAGMA-sparse Interface Design Whitepaper,” Innovative Computing Laboratory Technical Report, no. ICL-UT-17-05, September 2017.  (1.28 MB)
Abalenkovs, M., N. Bagherpour, J. Dongarra, M. Gates, A. Haidar, J. Kurzak, P. Luszczek, S. Relton, J. Sistek, D. Stevens, et al., “PLASMA 17 Performance Report,” Innovative Computing Laboratory Technical Report, no. ICL-UT-17-11: University of Tennessee, June 2017.  (7.57 MB)
Abalenkovs, M., N. Bagherpour, J. Dongarra, M. Gates, A. Haidar, J. Kurzak, P. Luszczek, S. Relton, J. Sistek, D. Stevens, et al., “PLASMA 17.1 Functionality Report,” Innovative Computing Laboratory Technical Report, no. ICL-UT-17-10: University of Tennessee, June 2017.  (1.8 MB)
Anzt, H., M. Gates, J. Dongarra, M. Kreutzer, G. Wellein, and M. Kohler, “Preconditioned Krylov Solvers on GPUs,” Parallel Computing, June 2017. DOI: 10.1016/j.parco.2017.05.006  (1.19 MB)

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