A customized precision format based on mantissa segmentation for accelerating sparse linear algebra
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Other documents of the author: Grützmacher, Thomas; Cojean, Terry; Flegar, Goran; Göbel, Fritz; Anzt, Hartwig
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Show full item recordcomunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/7036
comunitat-uji-handle3:10234/8620
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https://doi.org/10.1002/cpe.5418 |
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Title
A customized precision format based on mantissa segmentation for accelerating sparse linear algebraDate
2019Publisher
WileyISSN
1532-0626; 1532-0634Bibliographic citation
Grützmacher T, Cojean T, Flegar G, Göbel F, Anzt H. A customized precision format based on mantissasegmentationforacceleratingsparselinearalgebra.ConcurrencyComputatPractExper.2019;e5418.https://doi.org/10.1002/cpe.5418Type
info:eu-repo/semantics/articlePublisher version
https://onlinelibrary.wiley.com/doi/full/10.1002/cpe.5418Version
info:eu-repo/semantics/publishedVersionSubject
Abstract
In this work, we pursue the idea of radically decoupling the floating point format used for arithmetic operations from the format used to store the data in memory. We complement this idea with a customized precision ... [+]
In this work, we pursue the idea of radically decoupling the floating point format used for arithmetic operations from the format used to store the data in memory. We complement this idea with a customized precision memory format derived by splitting the mantissa (significand) of standard IEEE formats into segments, such that values can be accessed faster if lower accuracy is acceptable. Combined with precision‐aware algorithms that dynamically adapt the data access accuracy to the numerical requirements, the customized precision memory format can render attractive runtime savings without impacting the memory footprint of the data or the accuracy of the final result. In an experimental analysis using the adaptive precision Jacobi method on diagonalizable test problems, we assess the benefits of the mantissa‐segmenting customized precision format on recent multi‐ and manycore architectures. [-]
Is part of
Concurrency and Computation: Practice and Experience, 2019Investigation project
Helmholtz Association. Grant Number: VH-NG-1241; CICYT. Grant Number: TIN2017-82972-R; Swiss National Supercomputing Centre. Grant Number: #d100; Juelich Supercomputing CentreRights
Copyright © John Wiley & Sons, Inc.
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