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
Claude-Pierre Jeannerod
• Function : Author

#### 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.

### 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⟩

### Export

BibTeX TEI Dublin Core DC Terms EndNote Datacite

96 View