✦ LIBER ✦
All possible computed results in correct floating-point summation
✍ Scribed by M. Pichat
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 770 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0378-4754
No coin nor oath required. For personal study only.
✦ Synopsis
On a computer, any entry or elementary operation has two legitimate results, one by default and one by excess. Thus, a given algebraic algorithm with a single result is able, when processed on a computer, to generate a large set of floating-point results, all representative of the exact algebraic result. The aim of this paper is to characterize such sets in the particular case of summation.