Parallel vectorized implementations of compensated summation algorithms

DOI10.1007/978-3-031-30445-3_6MaRDI QIDQ6135479

Przemysław Stpiczyński, Beata Dmitruk

Publication date: 25 August 2023

Published in: Parallel Processing and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

accuracysummationvectorizationOpenMPKahan and Gill-Møller algorithmsSIMD intrinsics

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to numerical analysis (65-02) Parallel numerical computation (65Y05)

Cites Work

• The accurate solution of certain continuous problems using only single precision arithmetic
• A fast parallel high-precision summation algorithm based on AccSumK
• The Accuracy of Floating Point Summation
• Correctly Rounded Arbitrary-Precision Floating-Point Summation
• Algorithms for Efficient Reproducible Floating Point Summation
• High-Precision Anchored Accumulators for Reproducible Floating-Point Summation
• Quasi double-precision in floating point addition
• Using accurate arithmetics to improve numerical reproducibility and stability in parallel applications
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