Accurate sum and dot product with applications

Publikationstyp
Conference Paper
Date Issued
2004
Sprache
English
Author(s)
Ogita, Takeshi  
Rump, Siegfried M.  orcid-logo
Oishi, Shin’ichi  
Institut
Zuverlässiges Rechnen E-19  
TORE-URI
http://hdl.handle.net/11420/8945
Start Page
152
End Page
155
Citation
Proceedings of the IEEE International Symposium on Computer-Aided Control System Design : pp.152-155 (2004)
Contribution to Conference
IEEE International Conference on Control Applications, CCA 2004  
Scopus ID
2-s2.0-20344380915
Publisher
IEEE Operations Center
In a recent paper the authors presented a new and very fast algorithm for accurate computation and inclusion of the sum and dot product of floating point numbers. In this paper we show that the algorithms can be used to compute a very accurate inclusion of the solution of systems of linear equations. As a basic building block, accurate solution of linear equations has applications in very many areas.
DDC Class
004: Informatik
510: Mathematik