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

Katsuhisa Ozaki

doi:10.1063/1.4965377

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

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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	https://doi.org/10.1063/1.4965377
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)

Access to Document

10.1063/1.4965377

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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

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., 2nd International Conference on Numerical Computations: Theory and Algorithms, NUMTA 2016, Pizzo Calabro, Italy, 16/6/19. https://doi.org/10.1063/1.4965377

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