Further remarks on Kahan summation with decreasing ordering - Archive ouverte HAL Access content directly
Preprints, Working Papers, ... Year :

Further remarks on Kahan summation with decreasing ordering

(1)
1

Abstract

We consider Kahan's compensated summation of $n$ floating-point numbers ordered as $|x_1| \ge \cdots \ge |x_n|$, and show that in IEEE arithmetic a large relative error can occur for a dimension as small as $n=4$. This answers a question raised in particular by Priest and Higham.
Fichier principal
Vignette du fichier
compensated-summation.pdf (206.69 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-03475741 , version 1 (11-12-2021)

Identifiers

  • HAL Id : hal-03475741 , version 1

Cite

Claude-Pierre Jeannerod. Further remarks on Kahan summation with decreasing ordering. 2021. ⟨hal-03475741⟩
96 View
74 Download

Share

Gmail Facebook Twitter LinkedIn More