Improvement of the error bound for the dot product using the unit in the first place

研究成果: Conference contribution

抄録

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.

元の言語English
ホスト出版物のタイトルNumerical Computations: Theory and Algorithms, NUMTA 2016: Proceedings of the 2nd International Conference "Numerical Computations: Theory and Algorithms"
出版者American Institute of Physics Inc.
1776
ISBN(電子版)9780735414389
DOI
出版物ステータスPublished - 2016 10 20
イベント2nd International Conference on Numerical Computations: Theory and Algorithms, NUMTA 2016 - Pizzo Calabro, Italy
継続期間: 2016 6 192016 6 25

Other

Other2nd International Conference on Numerical Computations: Theory and Algorithms, NUMTA 2016
Italy
Pizzo Calabro
期間16/6/1916/6/25

Fingerprint

products
floating

ASJC Scopus subject areas

  • Physics and Astronomy(all)

これを引用

Ozaki, K. (2016). Improvement of the error bound for the dot product using the unit in the first place. : Numerical Computations: Theory and Algorithms, NUMTA 2016: Proceedings of the 2nd International Conference "Numerical Computations: Theory and Algorithms" (巻 1776). [090013] American Institute of Physics Inc.. https://doi.org/10.1063/1.4965377

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". 巻 1776 American Institute of Physics Inc., 2016. 090013.

研究成果: Conference contribution

Ozaki, K 2016, Improvement of the error bound for the dot product using the unit in the first place. : Numerical Computations: Theory and Algorithms, NUMTA 2016: Proceedings of the 2nd International Conference "Numerical Computations: Theory and Algorithms". 巻. 1776, 090013, American Institute of Physics Inc., 2nd International Conference on Numerical Computations: Theory and Algorithms, NUMTA 2016, Pizzo Calabro, Italy, 16/6/19. https://doi.org/10.1063/1.4965377
Ozaki K. Improvement of the error bound for the dot product using the unit in the first place. : Numerical Computations: Theory and Algorithms, NUMTA 2016: Proceedings of the 2nd International Conference "Numerical Computations: Theory and Algorithms". 巻 1776. American Institute of Physics Inc. 2016. 090013 https://doi.org/10.1063/1.4965377
Ozaki, Katsuhisa. / Improvement of the error bound for the dot product using the unit in the first place. Numerical Computations: Theory and Algorithms, NUMTA 2016: Proceedings of the 2nd International Conference "Numerical Computations: Theory and Algorithms". 巻 1776 American Institute of Physics Inc., 2016.
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