Efficiency of Reproducible Level 1 BLAS

DOI10.1007/978-3-319-31769-4_8zbMath1354.65091OpenAlexW2500063960MaRDI QIDQ2803590

David Parello, Philippe Langlois, Chemseddine Chohra

Publication date: 2 May 2016

Published in: Scientific Computing, Computer Arithmetic, and Validated Numerics (Search for Journal in Brave)

Full work available at URL: https://hal-lirmm.ccsd.cnrs.fr/lirmm-01101723/file/ChohraLangloisParello.pdf

Mathematics Subject Classification ID

Roundoff error (65G50)

Related Items (2)

Infinite-precision inner product and sparse matrix-vector multiplication using Ozaki scheme with Dot2 on manycore processors ⋮ Efficiency of Reproducible Level 1 BLAS

Uses Software

• BLAS

Cites Work

• A floating-point technique for extending the available precision
• Efficiency of Reproducible Level 1 BLAS
• BLIS: A Framework for Rapidly Instantiating BLAS Functionality
• Algorithm 908
• Ultimately Fast Accurate Summation
• First steps towards more numerical reproducibility
• Correct Rounding and a Hybrid Approach to Exact Floating-Point Summation
• Handbook of Floating-Point Arithmetic
• Floating-Point Computation of Functions with Maximum Accuracy
• Algorithms for Efficient Reproducible Floating Point Summation
• Accurate Floating-Point Summation Part I: Faithful Rounding
• Accurate Sum and Dot Product

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