Interval arithmetic with fixed rounding mode

Publikationstyp
Journal Article
Publikationsdatum
2016-07-01
Sprache
English
Author
Rump, Siegfried M. orcid-logo
Ogita, Takeshi 
Morikura, Yusuke 
Oishi, Shin’ichi 
Institut
Zuverlässiges Rechnen E-19 
TORE-URI
http://hdl.handle.net/11420/4394
Enthalten in
Nonlinear theory and its applications 
Volume
7
Issue
3
Start Page
362
End Page
373
Citation
Nonlinear Theory and Its Applications 7 (3): (2016)
Publisher DOI
10.1587/nolta.7.362
Publisher
The Institute of Electronics, Information and Communication Engineers ; J-Stage
We discuss several methods to simulate interval arithmetic operations using floating-point operations with fixed rounding mode. In particular we present formulas using only rounding to nearest and using only chop rounding (towards zero). The latter was the default and only rounding on GPU (Graphics Processing Unit) and cell processors, which in turn are very fast and therefore attractive in scientific computations.
Schlagworte
rounding mode
chop rounding
interval arithmetic
predecessor
successor
IEEE 754
DDC Class
510: Mathematik