Precision-aware deterministic and probabilistic error bounds for floating point summation
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Computational Mathematics
Link
https://link.springer.com/content/pdf/10.1007/s00211-023-01370-y.pdf
Reference27 articles.
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2. Blanchard, P., Higham, N.J., Mary, T.: A class of fast and accurate summation algorithms. SIAM J. Sci. Comput. 42(3), A1541–A1557 (2020)
3. Chung, F., Lu, L.: Concentration inequalities and martingale inequalities: a survey. Internet Math. 3(1), 79–127 (2006)
4. Connolly, M.P., Higham, N.J., Mary, T.: Stochastic rounding and its probabilistic backward error analysis. SIAM J. Sci. Comput. 43(1), A566–A585 (2021)
5. Constantinides, G., Dahlqvist, F., Rakamaric, Z., Salvia, R.: Rigorous roundoff error analysis of probabilistic floating-point computations (2021). ArXiv:2105.13217
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1. Bounds on Nonlinear Errors for Variance Computation with Stochastic Rounding;SIAM Journal on Scientific Computing;2024-09-03
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