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 |
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Country | Italy |
City | Pizzo Calabro |
Period | 16/6/19 → 16/6/25 |
ASJC Scopus subject areas
- Physics and Astronomy(all)