Publications
CholeskyQR with Randomization and Pivoting for Tall Matrices (CQRRPT)
: arXiv, February 2024.
Interface for Sparse Linear Algebra Operations
, November 2024.
DOI: 10.48550/arXiv.2411.13259
Generalizing Random Butterfly Transforms to Arbitrary Matrix Sizes
: arXiv, December 2023.
Using Additive Modifications in LU Factorization Instead of Pivoting,”
37th ACM International Conference on Supercomputing (ICS'23), Orlando, FL, ACM, June 2023.
DOI: 10.1145/3577193.3593731
(624.18 KB)
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Analysis of the Communication and Computation Cost of FFT Libraries towards Exascale,”
ICL Technical Report, no. ICL-UT-22-07: Innovative Computing Laboratory, July 2022.
(5.91 MB)
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FFT Benchmark Performance Experiments on Systems Targeting Exascale,”
ICL Technical Report, no. ICL-UT-22-02, March 2022.
(5.87 MB)
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PAQR: Pivoting Avoiding QR factorization,”
ICL Technical Report, no. ICL-UT-22-06, June 2022.
(364.85 KB)
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Randomized Numerical Linear Algebra: A Perspective on the Field with an Eye to Software,”
University of California, Berkeley EECS Technical Report, no. UCB/EECS-2022-258: University of California, Berkeley, November 2022.
DOI: 10.48550/arXiv.2302.11474
(1.05 MB)
(1.54 MB)
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Surrogate ML/AI Model Benchmarking for FAIR Principles' Conformance,”
2022 IEEE High Performance Extreme Computing Conference (HPEC): IEEE, September 2022.
DOI: 10.1109/HPEC55821.2022.9926401
“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)
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Accelerating Restarted GMRES with Mixed Precision Arithmetic,”
IEEE Transactions on Parallel and Distributed Systems, June 2021.
DOI: 10.1109/TPDS.2021.3090757
(572.4 KB)
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Interim Report on Benchmarking FFT Libraries on High Performance Systems,”
Innovative Computing Laboratory Technical Report, no. ICL-UT-21-03: University of Tennessee, July 2021.
(2.68 MB)
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An Introduction to High Performance Computing and Its Intersection with Advances in Modeling Rare Earth Elements and Actinides,”
Rare Earth Elements and Actinides: Progress in Computational Science Applications, vol. 1388, Washington, DC, American Chemical Society, pp. 3-53, October 2021.
DOI: 10.1021/bk-2021-1388.ch001
“Lecture Notes in Computer Science: High Performance Computing
, vol. 12761: Springer International Publishing, 2021.
DOI: 10.1007/978-3-030-90539-2
Materials fingerprinting classification,”
Computer Physics Communications, pp. 108019, May Jan.
DOI: 10.1016/j.cpc.2021.108019
(3.8 MB)
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Mixed-Precision Algorithm for Finding Selected Eigenvalues and Eigenvectors of Symmetric and Hermitian Matrices,”
ICL Technical Report, no. ICL-UT-21-05, August 2021.
(3.93 MB)
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P1673R3: A Free Function Linear algebra Interface Based on the BLAS,”
ISO JTC1 SC22 WG22, no. P1673R3: ISO, April 2021.
(858.89 KB)
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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
“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
“Translational process: Mathematical software perspective,”
Journal of Computational Science, vol. 52, pp. 101216, 2021.
DOI: 10.1016/j.jocs.2020.101216
“Clover: Computational Libraries Optimized via Exascale Research
, Houston, TX, 2020 Exascale Computing Project Annual Meeting, February 2020.
(872 KB)

Communication Avoiding 2D Stencil Implementations over PaRSEC Task-Based Runtime,”
2020 IEEE International Parallel and Distributed Processing Symposium Workshops (IPDPSW), New Orleans, LA, IEEE, May 2020.
DOI: 10.1109/IPDPSW50202.2020.00127
(1.33 MB)
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Docker Container based PaaS Cloud Computing Comprehensive Benchmarks using LAPACK,”
Computer Modeling and Intelligent Systems CMIS-2020, Zaporizhzhoa, March 2020.
(451.33 KB)
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Improving the Performance of the GMRES Method using Mixed-Precision Techniques,”
Smoky Mountains Computational Sciences & Engineering Conference (SMC2020), August 2020.
(600.33 KB)
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Interoperable Convergence of Storage, Networking, and Computation,”
Advances in Information and Communication: Proceedings of the 2019 Future of Information and Communication Conference (FICC), no. 2: Springer International Publishing, pp. 667-690, 2020.
(1.8 MB)
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The PLASMA Library on CORAL Systems and Beyond (Poster)
, Houston, TX, 2020 Exascale Computing Project Annual Meeting, February 2020.
(550.86 KB)

Prospectus for the Next LAPACK and ScaLAPACK Libraries: Basic ALgebra LIbraries for Sustainable Technology with Interdisciplinary Collaboration (BALLISTIC),”
LAPACK Working Notes, no. 297, ICL-UT-20-07: University of Tennessee.
(1.41 MB)
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Replacing Pivoting in Distributed Gaussian Elimination with Randomized Techniques,”
2020 IEEE/ACM 11th Workshop on Latest Advances in Scalable Algorithms for Large-Scale Systems (ScalA), Atlanta, GA, IEEE, November 2020.
(184.6 KB)
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Scalable Data Generation for Evaluating Mixed-Precision Solvers,”
2020 IEEE High Performance Extreme Computing Conference (HPEC), Waltham, MA, USA, IEEE, September 2020.
DOI: 10.1109/HPEC43674.2020.9286145
(1.3 MB)
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A Set of Batched Basic Linear Algebra Subprograms,”
ACM Transactions on Mathematical Software, October 2020.
“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)
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Translational Process: Mathematical Software Perspective,”
Innovative Computing Laboratory Technical Report, no. ICL-UT-20-11, August 2020.
(752.59 KB)
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Translational Process: Mathematical Software Perspective,”
Journal of Computational Science, September 2020.
DOI: 10.1016/j.jocs.2020.101216
(752.59 KB)
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Using Quantized Integer in LU Factorization with Partial Pivoting (Poster)
, Seattle, WA, SIAM Conference on Parallel Processing for Scientific Computing (SIAM PP20), February 2020.
(6.65 MB)

A Collection of White Papers from the BDEC2 Workshop in Poznan, Poland,”
Innovative Computing Laboratory Technical Report, no. ICL-UT-19-10: University of Tennessee, Knoxville, May 2019.
(5.82 MB)
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Increasing Accuracy of Iterative Refinement in Limited Floating-Point Arithmetic on Half-Precision Accelerators,”
IEEE High Performance Extreme Computing Conference (HPEC 2019), Best Paper Finalist, Waltham, MA, IEEE, September 2019.
(470.21 KB)
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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)
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Software-Defined Events through PAPI,”
2019 IEEE International Parallel and Distributed Processing Symposium Workshops (IPDPSW), Rio de Janeiro, Brazil, IEEE, May 2019.
DOI: 10.1109/IPDPSW.2019.00069
(446.41 KB)
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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)
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Autotuning Techniques for Performance-Portable Point Set Registration in 3D,”
Supercomputing Frontiers and Innovations, vol. 5, no. 4, December 2018.
DOI: 10.14529/jsfi180404
(720.15 KB)
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Batched BLAS (Basic Linear Algebra Subprograms) 2018 Specification
, July 2018.
(483.05 KB)

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)
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Linear Systems Performance Report,”
SLATE Working Notes, no. 08, ICL-UT-18-08: Innovative Computing Laboratory, University of Tennessee, September 2018.
(1.64 MB)
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Parallel BLAS Performance Report,”
SLATE Working Notes, no. 05, ICL-UT-18-01: University of Tennessee, April 2018.
(4.39 MB)
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Parallel Norms Performance Report,”
SLATE Working Notes, no. 06, ICL-UT-18-06: Innovative Computing Laboratory, University of Tennessee, June 2018.
(1.13 MB)
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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)
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Task Based Cholesky Decomposition on Xeon Phi Architectures using OpenMP,”
International Journal of Computational Science and Engineering (IJCSE), vol. 17, no. 3, October 2018.
DOI: http://dx.doi.org/10.1504/IJCSE.2018.095851
“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
“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)
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C++ API for Batch BLAS,”
SLATE Working Notes, no. 04, ICL-UT-17-12: University of Tennessee, December 2017.
(1.89 MB)
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