Accurate sum and dot product with applications

Takeshi Ogita, Siegfried M. Rump, Shi N.Ichi Oishi

Research output: Contribution to conferencePaper

3 Citations (Scopus)

Abstract

In a recent paper the authors presented a new and very fast algorithm for accurate computation and inclusion of the sum and dot product of floating point numbers. In this paper we show that the algorithms can be used to compute a very accurate inclusion of the solution of systems of linear equations. As a basic building block, accurate solution of linear equations has applications in very many areas.

Original languageEnglish
Pages152-155
Number of pages4
Publication statusPublished - 2004 Dec 1
Event2004 IEEE International Symposium on Computer Aided Control System Design - Taipei, Taiwan, Province of China
Duration: 2004 Sep 22004 Sep 4

Conference

Conference2004 IEEE International Symposium on Computer Aided Control System Design
CountryTaiwan, Province of China
CityTaipei
Period04/9/204/9/4

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ASJC Scopus subject areas

  • Engineering(all)
  • Computer Science(all)

Cite this

Ogita, T., Rump, S. M., & Oishi, S. N. I. (2004). Accurate sum and dot product with applications. 152-155. Paper presented at 2004 IEEE International Symposium on Computer Aided Control System Design, Taipei, Taiwan, Province of China.