Scalar fused multiply-add instructions produce floating-point matrix arithmetic provably accurate to the penultimate digit

DOI10.1145/641876.641878zbMath1069.68505OpenAlexW2119106201WikidataQ113309757 ScholiaQ113309757MaRDI QIDQ5461047

Publication date: 21 July 2005

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

Full work available at URL: https://doi.org/10.1145/641876.641878

Mathematics Subject Classification ID

Mathematical problems of computer architecture (68M07) Computer system organization (68M99) Algorithms in computer science (68W99) Computer aspects of numerical algorithms (65Y99)

Related Items (9)

Algorithms for accurate, validated and fast polynomial evaluation ⋮ Formalization of Double-Word Arithmetic, and Comments on “Tight and Rigorous Error Bounds for Basic Building Blocks of Double-Word Arithmetic” ⋮ Further analysis of Kahan’s algorithm for the accurate computation of $2\times 2$ determinants ⋮ On a compensated Ehrlich-Aberth method for the accurate computation of all polynomial roots ⋮ Floating-point arithmetic ⋮ Some issues related to double rounding ⋮ Accurate quotient-difference algorithm: error analysis, improvements and applications ⋮ Accurate summation, dot product and polynomial evaluation in complex floating point arithmetic ⋮ An accurate algorithm for evaluating rational functions

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