Title :
Accurate sum and dot product with applications
Author :
Ogita, Takeshi ; Rump, Siegfried M. ; Oishi, Shin´ichi
Author_Institution :
Graduate Sch. of Sci. & Eng., Waseda Univ., Tokyo
Abstract :
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
Keywords :
control system analysis computing; floating point arithmetic; linear systems; control engineering computing; dot product; floating point numbers; linear equations; Computer architecture; Computer science; Equations; Erbium; Hardware; Numerical analysis; Sorting; US Department of Transportation;
Conference_Titel :
Computer Aided Control Systems Design, 2004 IEEE International Symposium on
Conference_Location :
Taipei
Print_ISBN :
0-7803-8636-1
DOI :
10.1109/CACSD.2004.1393867
