Faithfully Rounded Floating-point Computations

DOI10.1145/3290955zbMath1484.65350OpenAlexW3043116807WikidataQ113310054 ScholiaQ113310054MaRDI QIDQ5132334

Marko Lange, Siegfried Michael Rump

Publication date: 10 November 2020

Published in: ACM Transactions on Mathematical Software (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1145/3290955

zbMATH Keywords

double-doublerigorous error boundsinaccurate cancellation

Mathematics Subject Classification ID

Roundoff error (65G50) Numerical algorithms for computer arithmetic, etc. (65Y04)

Related Items (4)

Floating-point arithmetic ⋮ Fast and accurate computation of the Euclidean norm of a vector ⋮ Efficient calculation of the joint distribution of order statistics ⋮ Verified bounds for the determinant of real or complex point or interval matrices

Uses Software

• MPFR
• INTLAB
• Octave Interval
• kv

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