A geometric approach for computing a posteriori error bounds for the solution of a linear system

Publikationstyp
Journal Article
Publikationsdatum
1991-03-01
Sprache
English
Author
Jansson, Christian 
Institut
Zuverlässiges Rechnen E-19 
TORE-URI
http://hdl.handle.net/11420/9478
Enthalten in
Computing 
Volume
47
Issue
1
Start Page
1
End Page
9
Citation
Computing 47 (1): 1-9 (1991-03-01)
Publisher DOI
10.1007/BF02242018
Scopus ID
2-s2.0-0026367783
Publisher
Springer
A geometric approach for calculating guaranteed error bounds for the solution of a linear system is presented. The error bounds are derived by simple geometric properties of the theory of convex polyhedrons. This approach basically differs from other well-known techniques and gives an optimal geometric characterization of the error bounds.
Schlagworte
AMS subject Classifications: 65H10, 65G05
error bounds
roundoff error
Systems of equations
DDC Class
004: Informatik
510: Mathematik