Publications
“Translational Process: Mathematical Software Perspective,”
Innovative Computing Laboratory Technical Report, no. ICL-UT-20-11, August 2020.
(752.59 KB)
(752.59 KB)
“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)
(3.98 MB)
“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)
(3.47 MB)
“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)
(1.95 MB)
“SLATE Users' Guide,”
SLATE Working Notes, no. 10, ICL-UT-19-01: Innovative Computing Laboratory, University of Tennessee, July 2020.
(1.51 MB)
(1.51 MB)
“SLATE Port to AMD and Intel Platforms,”
SLATE Working Notes, no. 16, ICL-UT-21-01, April 2021.
(890.75 KB)
(890.75 KB)
“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)
(1.64 MB)
“SLATE Performance Improvements: QR and Eigenvalues,”
SLATE Working Notes, no. 17, ICL-UT-21-02, April 2021.
(2 MB)
(2 MB)
“SLATE Mixed Precision Performance Report,”
Innovative Computing Laboratory Technical Report, no. ICL-UT-19-03: University of Tennessee, April 2019.
(1.04 MB)
(1.04 MB)
“SLATE Developers' Guide,”
SLATE Working Notes, no. 11, ICL-UT-19-02: Innovative Computing Laboratory, University of Tennessee, December 2019.
(1.68 MB)
(1.68 MB)
“Roadmap for the Development of a Linear Algebra Library for Exascale Computing: SLATE: Software for Linear Algebra Targeting Exascale,”
SLATE Working Notes, no. 01, ICL-UT-17-02: Innovative Computing Laboratory, University of Tennessee, June 2017.
(2.8 MB)
(2.8 MB)
“PLASMA 17.1 Functionality Report,”
Innovative Computing Laboratory Technical Report, no. ICL-UT-17-10: University of Tennessee, June 2017.
(1.8 MB)
(1.8 MB)
“PLASMA 17 Performance Report,”
Innovative Computing Laboratory Technical Report, no. ICL-UT-17-11: University of Tennessee, June 2017.
(7.57 MB)
(7.57 MB)
“Performance Tuning SLATE,”
SLATE Working Notes, no. 14, ICL-UT-20-01: Innovative Computing Laboratory, University of Tennessee, January 2020.
(1.29 MB)
(1.29 MB)
“Parallel Norms Performance Report,”
SLATE Working Notes, no. 06, ICL-UT-18-06: Innovative Computing Laboratory, University of Tennessee, June 2018.
(1.13 MB)
(1.13 MB)
“Parallel BLAS Performance Report,”
SLATE Working Notes, no. 05, ICL-UT-18-01: University of Tennessee, April 2018.
(4.39 MB)
(4.39 MB)
“PAQR: Pivoting Avoiding QR factorization,”
ICL Technical Report, no. ICL-UT-22-06, June 2022.
(364.85 KB)
(364.85 KB)
“Linear Systems Performance Report,”
SLATE Working Notes, no. 08, ICL-UT-18-08: Innovative Computing Laboratory, University of Tennessee, September 2018.
(1.64 MB)
(1.64 MB)
“Least Squares Performance Report,”
SLATE Working Notes, no. 09, ICL-UT-18-10: Innovative Computing Laboratory, University of Tennessee, December 2018.
(1.76 MB)
(1.76 MB)
“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)
(1.07 MB)
“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)
(2.8 MB)
“Communication Avoiding LU with Tournament Pivoting in SLATE,”
SLATE Working Notes, no. 18, ICL-UT-22-01, January 2022.
(3.74 MB)
(3.74 MB)
“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)
(1.12 MB)
“C++ API for Batch BLAS,”
SLATE Working Notes, no. 04, ICL-UT-17-12: University of Tennessee, December 2017.
(1.89 MB)
(1.89 MB)
Batched BLAS (Basic Linear Algebra Subprograms) 2018 Specification
, July 2018.
(483.05 KB)
(483.05 KB)
SLATE Tutorial
, Houston, TX, 2020 ECP Annual Meeting, February 2020.
(12.14 MB)
(12.14 MB)
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)
(16.19 MB)
MAGMA Tutorial
, Atlanta, GA, Keeneland Workshop, February 2012.
(2.47 MB)
(2.47 MB)
MAGMA MIC: Optimizing Linear Algebra for Intel Xeon Phi
, Frankfurt, Germany, ISC High Performance (ISC15), Intel Booth Presentation, June 2015.
(2.03 MB)
(2.03 MB)
MAGMA MIC: Linear Algebra Library for Intel Xeon Phi Coprocessors
, Salt Lake City, UT, The International Conference for High Performance Computing, Networking, Storage, and Analysis (SC12), November 2012.
(6.4 MB)
(6.4 MB)
MAGMA: A New Generation of Linear Algebra Library for GPU and Multicore Architectures
, Salt Lake City, UT, The International Conference for High Performance Computing, Networking, Storage, and Analysis (SC12), Presentation, November 2012.
(4.69 MB)
(4.69 MB)
Accelerating Linear Algebra with MAGMA
, Knoxville, TN, ECP Annual Meeting 2018, Tutorial, February 2018.
(35.27 MB)
(35.27 MB)
SLATE: Software for Linear Algebra Targeting Exascale (POSTER)
, Houston, TX, 2020 Exascale Computing Project Annual Meeting, February 2020.
(546.56 KB)
(546.56 KB)
Clover: Computational Libraries Optimized via Exascale Research
, Houston, TX, 2020 Exascale Computing Project Annual Meeting, February 2020.
(872 KB)
(872 KB)
“With Extreme Computing, the Rules Have Changed,”
Computing in Science & Engineering, vol. 19, issue 3, pp. 52-62, May 2017.
DOI: 10.1109/MCSE.2017.48 (485.34 KB)
(485.34 KB)
“Translational Process: Mathematical Software Perspective,”
Journal of Computational Science, September 2020.
DOI: 10.1016/j.jocs.2020.101216 (752.59 KB)
(752.59 KB)
“Translational process: Mathematical software perspective,”
Journal of Computational Science, vol. 52, pp. 101216, 2021.
DOI: 10.1016/j.jocs.2020.101216
“A Survey of Recent Developments in Parallel Implementations of Gaussian Elimination,”
Concurrency and Computation: Practice and Experience, vol. 27, issue 5, pp. 1292-1309, April 2015.
DOI: 10.1002/cpe.3306 (783.45 KB)
(783.45 KB)
“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
“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)
(2.5 MB)
“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
“A Set of Batched Basic Linear Algebra Subprograms,”
ACM Transactions on Mathematical Software, October 2020.
“Preconditioned Krylov Solvers on GPUs,”
Parallel Computing, June 2017.
DOI: 10.1016/j.parco.2017.05.006 (1.19 MB)
(1.19 MB)
“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)
(7.5 MB)
“Parallel Programming Models for Dense Linear Algebra on Heterogeneous Systems,”
Supercomputing Frontiers and Innovations, vol. 2, no. 4, October 2015.
DOI: 10.14529/jsfi1504 (3.68 MB)
(3.68 MB)
“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
