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Numerical reproducibility in HPC: issues in interval arithmetic

Nathalie Revol 1, * Philippe Théveny 1, 2
* Corresponding author
1 ARIC - Arithmetic and Computing
Inria Grenoble - Rhône-Alpes, LIP - Laboratoire de l'Informatique du Parallélisme
Abstract : The problem of numerical reproducibility is the problem of getting the same result when a numerical computation is run several times, whether on the same machine or on different machines. The accuracy of the result is a different issue. As far as interval arithmetic is concerned, the relevant issue is the inclusion property, that is, the guarantee that the exact result belongs to the computed resulting interval.
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https://hal.inria.fr/hal-00922114
Contributor : Nathalie Revol <>
Submitted on : Monday, December 23, 2013 - 6:09:20 PM
Last modification on : Friday, June 25, 2021 - 3:40:05 PM
Long-term archiving on: : Monday, March 24, 2014 - 2:10:15 AM

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Nathalie Revol, Philippe Théveny. Numerical reproducibility in HPC: issues in interval arithmetic. SWIM'2013: Small Workshop on Interval Methods, Jun 2013, Brest, France. ⟨hal-00922114⟩

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