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High performance linear algebra using interval arithmetic

Hong Diep Nguyen 1 Nathalie Revol 1 
1 ARENAIRE - Computer arithmetic
Inria Grenoble - Rhône-Alpes, LIP - Laboratoire de l'Informatique du Parallélisme
Abstract : In this paper, we describe implementations of interval matrix multiplication and verified solution to a linear system, using entirely BLAS routines, which are fully optimized and parallelized.
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Submitted on : Thursday, December 9, 2010 - 1:22:28 AM
Last modification on : Tuesday, October 25, 2022 - 4:18:54 PM



Hong Diep Nguyen, Nathalie Revol. High performance linear algebra using interval arithmetic. PASCO'10 4th International Workshop in Parallel and Symbolic Computation, Moreno Maza, Marc and Roch, Jean-Louis, Jul 2010, Grenoble, France. ⟨10.1145/1837210.1837236⟩. ⟨inria-00544800⟩



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