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Can We Avoid Rounding-Error Estimation in HPC Codes and Still Get Trustworthy Results?

, , , , and . VSTTE, volume 12549 of Lecture Notes in Computer Science, page 163-177. Springer, (2020)

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Efficient Calculations of Faithfully Rounded l2-Norms of n-Vectors., , , , and . ACM Trans. Math. Softw., 41 (4): 24:1-24:20 (2015)Auto-tuning for floating-point precision with Discrete Stochastic Arithmetic, , , , and . HAL Id:, hal-01331917. HAL archives-ouvertes.fr, (June 2016)Numerical reproducibility for the parallel reduction on multi- and many-core architectures., , , and . Parallel Comput., (2015)Comparison of Reproducible Parallel Preconditioned BiCGSTAB Algorithm Based on ExBLAS and ReproBLAS., , , , and . HPC Asia, page 46-54. ACM, (2023)A new algorithm for computing certified numerical approximations of the roots of a zero-dimensional system., and . ISSAC, page 167-174. ACM, (2009)A parallel compensated Horner scheme for SIMD architecture., , , and . ARITH, page 131-138. IEEE, (2023)Rounding Errors., , and . Wiley Encyclopedia of Computer Science and Engineering, John Wiley & Sons, Inc., (2008)Accurate, validated and fast evaluation of elementary symmetric functions and its application., , , and . Appl. Math. Comput., (2016)Neural Network Precision Tuning Using Stochastic Arithmetic., , , , and . NSV/FoMLAS@CAV, volume 13466 of Lecture Notes in Computer Science, page 164-186. Springer, (2022)Can We Avoid Rounding-Error Estimation in HPC Codes and Still Get Trustworthy Results?, , , , and . VSTTE, volume 12549 of Lecture Notes in Computer Science, page 163-177. Springer, (2020)