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

Research output: Chapter in Book/Report/Conference proceedingConference 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 languageEnglish
Title of host publicationNumerical Computations: Theory and Algorithms, NUMTA 2016: Proceedings of the 2nd International Conference "Numerical Computations: Theory and Algorithms"
PublisherAmerican Institute of Physics Inc.
Volume1776
ISBN (Electronic)9780735414389
DOIs
Publication statusPublished - 2016 Oct 20
Event2nd International Conference on Numerical Computations: Theory and Algorithms, NUMTA 2016 - Pizzo Calabro, Italy
Duration: 2016 Jun 192016 Jun 25

Other

Other2nd International Conference on Numerical Computations: Theory and Algorithms, NUMTA 2016
CountryItaly
CityPizzo Calabro
Period16/6/1916/6/25

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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