Add to ORKGInternational audience-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
Numerical Reproducibility at Exascale (NRE2015) workshop held as part of the Supercomputing Conferen...
Consiglio Nazionale delle Ricerche (CNR). Biblioteca Centrale / CNR - Consiglio Nazionale delle Rich...
Triangular linear systems are fundamental in numerical linear algebra. A triangular linear system ha...
International audienceOn modern parallel architectures, floating-point computations may become non-d...
Several parallel algorithms have been proposed for the solution of triangular systems. The stability...
An error complexity analysis of two algorithms for solving a unit-diagonal triangular system is give...
A few parallel algorithms for solving triangular systems resulting from parallel factorization of sp...
We consider the problem of computing a scaling α such that the solution x of the scaled linear syste...
Efficient triangular solvers for use on message passing multiprocessors are required, in several co...
AbstractThis paper explores the problem of solving triangular linear systems on parallel distributed...
International audiencePost Moore's era supercomputing will certainly require more hierarchical paral...
We propose a parallel sparse triangular linear system solver based on the Spike algorithm. Sparse tr...
International audienceFloating-point arithmetic may introduce failures of the numerical reproducibil...
AbstractWe show a simple parallel acceleration (from about 2n to about 1.4n lognparallel arithmetic ...
The world depends on computers every day to do accurate real-world mathematics. Computers must store...
Numerical Reproducibility at Exascale (NRE2015) workshop held as part of the Supercomputing Conferen...
Consiglio Nazionale delle Ricerche (CNR). Biblioteca Centrale / CNR - Consiglio Nazionale delle Rich...
Triangular linear systems are fundamental in numerical linear algebra. A triangular linear system ha...
International audienceOn modern parallel architectures, floating-point computations may become non-d...
Several parallel algorithms have been proposed for the solution of triangular systems. The stability...
An error complexity analysis of two algorithms for solving a unit-diagonal triangular system is give...
A few parallel algorithms for solving triangular systems resulting from parallel factorization of sp...
We consider the problem of computing a scaling α such that the solution x of the scaled linear syste...
Efficient triangular solvers for use on message passing multiprocessors are required, in several co...
AbstractThis paper explores the problem of solving triangular linear systems on parallel distributed...
International audiencePost Moore's era supercomputing will certainly require more hierarchical paral...
We propose a parallel sparse triangular linear system solver based on the Spike algorithm. Sparse tr...
International audienceFloating-point arithmetic may introduce failures of the numerical reproducibil...
AbstractWe show a simple parallel acceleration (from about 2n to about 1.4n lognparallel arithmetic ...
The world depends on computers every day to do accurate real-world mathematics. Computers must store...
Numerical Reproducibility at Exascale (NRE2015) workshop held as part of the Supercomputing Conferen...
Consiglio Nazionale delle Ricerche (CNR). Biblioteca Centrale / CNR - Consiglio Nazionale delle Rich...
Triangular linear systems are fundamental in numerical linear algebra. A triangular linear system ha...