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Matrix Multiplication in Multiword Arithmetic: Error Analysis and Application to GPU Tensor Cores

  • Published:2023-02-28 Issue:1 Volume:45 Page:C1-C19
  • ISSN:1064-8275
  • Container-title:SIAM Journal on Scientific Computing
  • language:en
  • Short-container-title:SIAM J. Sci. Comput.

Author:

Fasi Massimiliano1ORCID,Higham Nicholas J.2ORCID,Lopez Florent3,Mary Theo4,Mikaitis Mantas2ORCID

Affiliation:

1. Department of Computer Science, Upper Mountjoy Campus, Durham University, Durham DH1 3LE, UK.

2. Department of Mathematics, University of Manchester, Manchester M13 9PL, UK.

3. Livermore Software Technology, ANSYS Company, Livermore, CA 94551 USA.

4. Sorbonne Université, CNRS, LIP6, Paris 75005, France.

Funder

Engineering and Physical Sciences Research Council

Wenner-Gren Stiftelserna

Royal Society

U.S. Department of Energy

Publisher

Society for Industrial & Applied Mathematics (SIAM)

Subject

Applied Mathematics,Computational Mathematics

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Efficient Mixed-Precision Matrix Factorization of the Inverse Overlap Matrix in Electronic Structure Calculations with AI-Hardware and GPUs;Journal of Chemical Theory and Computation;2024-08-13

2. Monotonicity of Multi-term Floating-Point Adders;IEEE Transactions on Computers;2024-06

3. Mixed Precision Randomized Low-Rank Approximation with GPU Tensor Cores;Lecture Notes in Computer Science;2024

4. Mixed-Precision S/DGEMM Using the TF32 and TF64 Frameworks on Low-Precision AI Tensor Cores;Proceedings of the SC '23 Workshops of The International Conference on High Performance Computing, Network, Storage, and Analysis;2023-11-12

5. CPFloat: A C Library for Simulating Low-precision Arithmetic;ACM Transactions on Mathematical Software;2023-06-17
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