DocumentCode
2562664
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
fYear
2004
fDate
4-4 Sept. 2004
Firstpage
152
Lastpage
155
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Computer Aided Control Systems Design, 2004 IEEE International Symposium on
Conference_Location
Taipei
Print_ISBN
0-7803-8636-1
Type
conf
DOI
10.1109/CACSD.2004.1393867
Filename
1393867
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