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Preprints, Working Papers, ... Year : 2022

Note on FastTwoSum with Directed Rounding

Abstract

In [1], Graillat and Jézéquel prove a bound on the maximal error for the FastTwoSum algorithm with directed roundings. We improve that bound by a factor 2, and show that FastTwoSum is exact when the exponent difference of the inputs does not exceed the current precision.
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Dates and versions

hal-03798376 , version 1 (05-10-2022)
hal-03798376 , version 2 (05-10-2022)
hal-03798376 , version 3 (06-10-2022)
hal-03798376 , version 4 (08-10-2022)
hal-03798376 , version 5 (28-03-2023)
hal-03798376 , version 6 (19-09-2023)

Identifiers

  • HAL Id : hal-03798376 , version 2

Cite

Paul Zimmermann. Note on FastTwoSum with Directed Rounding. 2022. ⟨hal-03798376v2⟩
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