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Reproducible and Accurate Parallel Triangular Solver

Chemseddine Chohra 1, 2 Philippe Langlois 1 David Parello 1 
1 DALI - Digits, Architectures et Logiciels Informatiques
LIRMM - Laboratoire d'Informatique de Robotique et de Microélectronique de Montpellier, UPVD - Université de Perpignan Via Domitia
2 Université du 8 Mai 1945 [Guelma, Algérie]
Abstract : -point computations are not deterministic on parallel environments. Therefore, due to the non-associativity of the floating-point addition, non-reproducibility of results might become a critical issue. We present two parallel solvers for triangular systems. Both solvers provide a numerically reproducible solution independently from the running environment.
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https://hal-lirmm.ccsd.cnrs.fr/lirmm-02427986
Contributor : Philippe Langlois Connect in order to contact the contributor
Submitted on : Saturday, January 4, 2020 - 5:28:58 PM
Last modification on : Friday, August 5, 2022 - 2:56:33 PM
Long-term archiving on: : Monday, April 6, 2020 - 10:15:38 PM

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  • HAL Id : lirmm-02427986, version 1

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CNRS | UNIV-PERP | DALI | LIRMM | MIPS | UNIV-MONTPELLIER

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Chemseddine Chohra, Philippe Langlois, David Parello. Reproducible and Accurate Parallel Triangular Solver. ICIAM 2019 - 9th International Congress on Industrial and Applied Mathematics, Jul 2019, Valencia, Spain. ⟨lirmm-02427986⟩

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