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 |
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| 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 |
ASJC Scopus subject areas
- Physics and Astronomy(all)
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Cite this
Ozaki, K. (2016). Improvement of the error bound for the dot product using the unit in the first place. In Numerical Computations: Theory and Algorithms, NUMTA 2016: Proceedings of the 2nd International Conference "Numerical Computations: Theory and Algorithms" (Vol. 1776). [090013] American Institute of Physics Inc.. https://doi.org/10.1063/1.4965377