Accurate sum and dot product with applications
- Resource Type
- Conference
- Authors
- Ogita, T.; Rump, S.M.; Oishi, S.
- Source
- 2004 IEEE International Conference on Robotics and Automation (IEEE Cat. No.04CH37508) Computer aided control systems design Computer Aided Control Systems Design, 2004 IEEE International Symposium on. :152-155 2004
- Subject
- Robotics and Control Systems
Computing and Processing
US Department of Transportation
Equations
Numerical analysis
Computer architecture
Sorting
Hardware
Erbium
Computer science
- Language
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.