Reproducible Triangular Solvers for High-Performance Computing

Roman Iakymchuk 1, 2 David Defour 3 Sylvain Collange 4 Stef Graillat 1
1 PEQUAN - Performance et Qualité des Algorithmes Numériques
LIP6 - Laboratoire d'Informatique de Paris 6
2 ICS - Institut du Calcul et de la Simulation
3 DALI - Digits, Architectures et Logiciels Informatiques
LIRMM - Laboratoire d'Informatique de Robotique et de Microélectronique de Montpellier, UPVD - Université de Perpignan Via Domitia
4 ALF - Amdahl's Law is Forever
Inria Rennes – Bretagne Atlantique , IRISA-D3 - ARCHITECTURE
Abstract : On modern parallel architectures, floating-point computations may become non-deterministic and, therefore, non-reproducible mainly due to non-associativity of floating-point operations. We propose an algorithm to solve dense triangular systems by leveraging the standard parallel triangular solver and our, recently introduced, multi-level exact summation approach. Finally, we present implementations of the proposed fast reproducible triangular solver and results on recent NVIDIA GPUs.
Type de document :
Communication dans un congrès
ITNG: Information Technology - New Generations, Apr 2015, Las Vegas, NV, United States. 12th International Conference on Information Technology - New Generations, pp.353-358, 2015, 〈10.1109/ITNG.2015.63〉
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https://hal-lirmm.ccsd.cnrs.fr/lirmm-01206371
Contributeur : David Defour <>
Soumis le : lundi 28 septembre 2015 - 21:34:54
Dernière modification le : jeudi 21 mars 2019 - 13:19:50

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INRIA | UNIV-RENNES1 | INSTITUT-TELECOM | UPMC | LIP6 | DALI | ICS | IRISA | UNIV-PERP | LIRMM | UR1-UFR-ISTIC | CENTRALESUPELEC | MIPS | UNIV-MONTPELLIER | UNIV-RENNES | SORBONNE-UNIVERSITE | IRISA-D3 | SU-SCIENCES

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Roman Iakymchuk, David Defour, Sylvain Collange, Stef Graillat. Reproducible Triangular Solvers for High-Performance Computing. ITNG: Information Technology - New Generations, Apr 2015, Las Vegas, NV, United States. 12th International Conference on Information Technology - New Generations, pp.353-358, 2015, 〈10.1109/ITNG.2015.63〉. 〈lirmm-01206371〉

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