Implementation and improvements of affine arithmetic

Publikationstyp
Journal Article
Date Issued
2015-07-01
Sprache
English
Author(s)
Rump, Siegfried M.  orcid-logo
Kashiwagi, Masahide  
Institut
Zuverlässiges Rechnen E-19  
TORE-URI
http://hdl.handle.net/11420/7825
Journal
Nonlinear theory and its applications  
Volume
6
Issue
3
Start Page
341
End Page
359
Citation
Nonlinear Theory and Its Applications, IEICE 3 (6): 341-359 (2015)
Publisher DOI
10.1587/nolta.6.341
Affine arithmetic is a well-known tool to reduce the wrapping effect of ordinary interval arithmetic. We discuss several improvements both in theory and in terms of practical implementation. In particular details of INTLAB's affine arithmetic toolbox are presented. Computational examples demonstrate advantages and weaknesses of the approach.
DDC Class
004: Informatik
510: Mathematik