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Performance Evaluation of Strassen Matrix Multiplication Supporting Triple-Double Precision Floating-Point Arithmetic

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Computational Science and Its Applications – ICCSA 2020 (ICCSA 2020)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 12253))

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Abstract

The Strassen matrix multiplication can be categorized into divide-and-conquer algorithms, and they are known as the most efficient algorithms. We previously implemented them supporting multiple precision floating-point arithmetic using MPFR and Bailey’s QD libraries and have shown their effectiveness in our papers and open-source codes. In preparation for a future release, we have introduced an optimized triple-word floating-point arithmetic proposed by Fabiano et al., and we found its utility in our implementation of multiple precision matrix multiplication. In this paper, we demonstrate the effectiveness of the Strassen triple-double precision matrix multiplication through performance evaluation compared to those based on QD and MPFR libraries.

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References

  1. Fabiano, N., Muller, J.-M., Picot, J.: Algorithms for triple-word arithmetic. IEEE Trans. Comput. 68(11), 1573–1583 (2019)

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  3. Bailey, D.H.: QD. https://www.davidhbailey.com/dhbsoftware/

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Authors and Affiliations

  1. Shizuoka Institute of Science and Technology, 2200-2 Toyosawa, Fukuroi, 437-8555, Japan

    Tomonori Kouya

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  1. Tomonori Kouya
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Correspondence to Tomonori Kouya .

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Editors and Affiliations

  1. University of Perugia, Perugia, Italy

    Osvaldo Gervasi

  2. University of Basilicata, Potenza, Potenza, Italy

    Beniamino Murgante

  3. Chair- Center of ICT/ICE, Covenant University, Ota, Nigeria

    Sanjay Misra

  4. University of Cagliari, Cagliari, Italy

    Chiara Garau

  5. University of Cagliari, Cagliari, Italy

    Ivan Blečić

  6. Clayton School of Information Technology, Monash University, Clayton, VIC, Australia

    David Taniar

  7. Department of Information Science, Kyushu Sangyo University, Fukuoka, Japan

    Bernady O. Apduhan

  8. University of Minho, Braga, Portugal

    Ana Maria A. C. Rocha

  9. Polytechnic University of Bari, Bari, Italy

    Eufemia Tarantino

  10. Polytechnic University of Bari, Bari, Italy

    Carmelo Maria Torre

  11. Department of Neurology, University of Massachusetts Medical School, Worcester, MA, USA

    Yeliz Karaca

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Kouya, T. (2020). Performance Evaluation of Strassen Matrix Multiplication Supporting Triple-Double Precision Floating-Point Arithmetic. In: Gervasi, O., et al. Computational Science and Its Applications – ICCSA 2020. ICCSA 2020. Lecture Notes in Computer Science(), vol 12253. Springer, Cham. https://doi.org/10.1007/978-3-030-58814-4_12

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  • DOI: https://doi.org/10.1007/978-3-030-58814-4_12

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-58813-7

  • Online ISBN: 978-3-030-58814-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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