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.
https://hal-lirmm.ccsd.cnrs.fr/lirmm-02427986
Contributor : Philippe Langlois <>
Submitted on : Saturday, January 4, 2020 - 5:28:58 PM Last modification on : Tuesday, January 7, 2020 - 1:33:10 AM Long-term archiving on: : Monday, April 6, 2020 - 10:15:38 PM
Chemseddine Chohra, Philippe Langlois, David Parello. Reproducible and Accurate Parallel Triangular Solver. 9th International Congress on Industrial and Applied Mathematics (ICIAM), Jul 2019, Valencia, Spain. ⟨lirmm-02427986⟩