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DOE OSTI · 1825849

A survey of numerical linear algebra methods utilizing mixed-precision arithmetic

Abdelfattah, Ahmad·Anzt, Hartwig·Boman, Erik G.·Carson, Erin·Cojean, Terry·Dongarra, Jack·Fox, Alyson·Gates, Mark·Higham, Nicholas J.·Li, Xiaoye S.·Loe, Jennifer·Luszczek, Piotr·Pranesh, Srikara·Rajamanickam, Siva·Ribizel, Tobias·Smith, Barry F.·Swirydowicz, Kasia·Thomas, Stephen·Tomov, Stanimire·Tsai, Yaohung M.·Yang, Ulrike Meier
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Abstract

The efficient utilization of mixed-precision numerical linear algebra algorithms can offer attractive acceleration to scientific computing applications. Especially with the hardware integration of low-precision special-function units designed for machine learning applications, the traditional numerical algorithms community urgently needs to reconsider the floating point formats used in the distinct operations to efficiently leverage the available compute power. In this study, we provide a comprehensive survey of mixed-precision numerical linear algebra routines, including the underlying concepts, theoretical background, and experimental results for both dense and sparse linear algebra problems.

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97 MATHEMATICS AND COMPUTINGGPUsMATHEMATICS AND COMPUTINGMixed-precision arithmetichigh performance computinghigh-performance computinglinear algebramixed precision arithmeticnumerical mathematics

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Abdelfattah, Ahmad, Anzt, Hartwig, Boman, Erik G., Carson, Erin, Cojean, Terry, Dongarra, Jack, Fox, Alyson, Gates, Mark, Higham, Nicholas J., Li, Xiaoye S., Loe, Jennifer, Luszczek, Piotr, Pranesh, Srikara, Rajamanickam, Siva, Ribizel, Tobias, Smith, Barry F., Swirydowicz, Kasia, Thomas, Stephen, Tomov, Stanimire, Tsai, Yaohung M., Yang, Ulrike Meier. 2021-03-19. A survey of numerical linear algebra methods utilizing mixed-precision arithmetic. https://doi.org/10.1177/10943420211003313

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