DMCA
The Interval Logarithmic Number System (1989)
Cached
Download Links
- [www.cse.lehigh.edu]
- [www.eecs.lehigh.edu]
- [mesa.ece.wisc.edu]
- [www.acsel-lab.com]
- [www.dec.usc.es]
- DBLP
Other Repositories/Bibliography
| Venue: | Proceedings of the 9th IEEE Symposium on Computer Arithmetic |
| Citations: | 2 - 1 self |
BibTeX
@INPROCEEDINGS{Arnold89theinterval,
author = {Mark G. Arnold and Jesus Garcia and Michael J. Schulte},
title = {The Interval Logarithmic Number System},
booktitle = {Proceedings of the 9th IEEE Symposium on Computer Arithmetic},
year = {1989},
pages = {144--151}
}
Share
 |
 |
 |
 |
||
OpenURL
Abstract
System (ILNS), in which the Logarithmic Number System (LNS) is used as the underlying number system for interval arithmetic. The basic operations in ILNS are introduced and an efficient method for performing ILNS addition and subtraction is presented. The paper compares ILNS to Interval Floating Point (IFP) for a few sample applications. For applications like the N-body problem, which have a large percentage of multiplies, divides and square roots, ILNS provides much narrower intervals than IFP. In other applications, like the Fast Fourier Transform, where addition and subtraction dominate, ILNS and IFP produce intervals having similar widths. Based on our analysis, ILNS is an attractive alternative to IFP for application that can tolerate low to moderate precisons.
Keyphrases
interval logarithmic number system attractive alternative basic operation number system sample application n-body problem logarithmic number system fast fourier transform large percentage interval floating point ilns addition square root subtraction dominate similar width efficient method
