Abstract
This paper is concerned with rounding error estimation for the dot product for numerical computations. Recently, Rump proposed a new type of error bounds for summation and the dot product using the unit in the first place of floating-point numbers. Our aim is to improve the error bound of the dot product. As a result, the constant of the error bound can be reduced.
| Original language | English |
|---|---|
| Title of host publication | Numerical Computations: Theory and Algorithms, NUMTA 2016: Proceedings of the 2nd International Conference "Numerical Computations: Theory and Algorithms" |
| Publisher | American Institute of Physics Inc. |
| Volume | 1776 |
| ISBN (Electronic) | 9780735414389 |
| DOIs | |
| Publication status | Published - 2016 Oct 20 |
| Event | 2nd International Conference on Numerical Computations: Theory and Algorithms, NUMTA 2016 - Pizzo Calabro, Italy Duration: 2016 Jun 19 → 2016 Jun 25 |
Other
| Other | 2nd International Conference on Numerical Computations: Theory and Algorithms, NUMTA 2016 |
|---|---|
| Country | Italy |
| City | Pizzo Calabro |
| Period | 16/6/19 → 16/6/25 |
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ASJC Scopus subject areas
- Physics and Astronomy(all)
Cite this
Improvement of the error bound for the dot product using the unit in the first place. / Ozaki, Katsuhisa.
Numerical Computations: Theory and Algorithms, NUMTA 2016: Proceedings of the 2nd International Conference "Numerical Computations: Theory and Algorithms". Vol. 1776 American Institute of Physics Inc., 2016. 090013.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
}
TY - GEN
T1 - Improvement of the error bound for the dot product using the unit in the first place
AU - Ozaki, Katsuhisa
PY - 2016/10/20
Y1 - 2016/10/20
N2 - This paper is concerned with rounding error estimation for the dot product for numerical computations. Recently, Rump proposed a new type of error bounds for summation and the dot product using the unit in the first place of floating-point numbers. Our aim is to improve the error bound of the dot product. As a result, the constant of the error bound can be reduced.
AB - This paper is concerned with rounding error estimation for the dot product for numerical computations. Recently, Rump proposed a new type of error bounds for summation and the dot product using the unit in the first place of floating-point numbers. Our aim is to improve the error bound of the dot product. As a result, the constant of the error bound can be reduced.
UR - http://www.scopus.com/inward/record.url?scp=84995463501&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84995463501&partnerID=8YFLogxK
U2 - 10.1063/1.4965377
DO - 10.1063/1.4965377
M3 - Conference contribution
AN - SCOPUS:84995463501
VL - 1776
BT - Numerical Computations: Theory and Algorithms, NUMTA 2016: Proceedings of the 2nd International Conference "Numerical Computations: Theory and Algorithms"
PB - American Institute of Physics Inc.
ER -