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Replicated Computational Results (RCR) Report for “Adaptive Precision Block-Jacobi for High Performance Preconditioning in the Ginkgo Linear Algebra Software”

Published: 01 April 2021 Publication History

Abstract

The article by Flegar et al. titled “Adaptive Precision Block-Jacobi for High Performance Preconditioning in the Ginkgo Linear Algebra Software” presents a novel, practical implementation of an adaptive precision block-Jacobi preconditioner. Performance results using state-of-the-art GPU architectures for the block-Jacobi preconditioner generation and application demonstrate the practical usability of the method, compared to a traditional full-precision block-Jacobi preconditioner. A production-ready implementation is provided in the Ginkgo numerical linear algebra library.
In this report, the Ginkgo library is reinstalled and performance results are generated to perform a comparison to the original results when using Ginkgo’s Conjugate Gradient solver with either the full or the adaptive precision block-Jacobi preconditioner for a suite of test problems on an NVIDIA GPU accelerator. After completing this process, the published results are deemed reproducible.

References

[1]
GitHub. n.d. Instructions to Reproduce Experiments. Retrieved October 23, 2020 from https://github.com/ginkgo-project/ginkgo/blob/2019toms-adaptive-bj-solver/Reproduce_Experiments.md.
[2]
Goran Flegar, Hartwig Anzt, Terry Cojean, and Enrique S. Quintana-Orti. 2020. Adaptive precision block-Jacobi for high performance preconditioning in the Ginkgo linear algebra software. ACM Transactions on Mathematical Software 1, 1 (Aug. 2020), Article 1, 27 pages.

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  1. Replicated Computational Results (RCR) Report for “Adaptive Precision Block-Jacobi for High Performance Preconditioning in the Ginkgo Linear Algebra Software”

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      Published In

      cover image ACM Transactions on Mathematical Software
      ACM Transactions on Mathematical Software  Volume 47, Issue 2
      June 2021
      243 pages
      ISSN:0098-3500
      EISSN:1557-7295
      DOI:10.1145/3459727
      Issue’s Table of Contents
      This paper is authored by an employee(s) of the United States Government and is in the public domain. Non-exclusive copying or redistribution is allowed, provided that the article citation is given and the authors and agency are clearly identified as its source.

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      Association for Computing Machinery

      New York, NY, United States

      Publication History

      Published: 01 April 2021
      Accepted: 01 December 2020
      Received: 01 November 2020
      Published in TOMS Volume 47, Issue 2

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      Author Tags

      1. GPU
      2. Krylov subspace methods
      3. adaptive precision
      4. block-Jacobi preconditioning
      5. replicated computational results

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      • Refereed

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      • U.S. Department of Energy by Lawrence Livermore National Laboratory
      • Neither the United States government nor Lawrence Livermore National Security, LLC
      • United States government or Lawrence Livermore National Security, LLC
      • United States government

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