Accurate sum and dot product with applications

Takeshi Ogita, Siegfried M. Rump, Shinichi Oishi

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    2 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
    Title of host publicationProceedings of the IEEE International Symposium on Computer-Aided Control System Design
    Pages152-155
    Number of pages4
    Publication statusPublished - 2004
    Event2004 IEEE International Symposium on Computer Aided Control System Design - Taipei
    Duration: 2004 Sep 22004 Sep 4

    Other

    Other2004 IEEE International Symposium on Computer Aided Control System Design
    CityTaipei
    Period04/9/204/9/4

    Fingerprint

    Linear equations

    ASJC Scopus subject areas

    • Engineering(all)
    • Computer Science(all)

    Cite this

    Ogita, T., Rump, S. M., & Oishi, S. (2004). Accurate sum and dot product with applications. In Proceedings of the IEEE International Symposium on Computer-Aided Control System Design (pp. 152-155)

    Accurate sum and dot product with applications. / Ogita, Takeshi; Rump, Siegfried M.; Oishi, Shinichi.

    Proceedings of the IEEE International Symposium on Computer-Aided Control System Design. 2004. p. 152-155.

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    Ogita, T, Rump, SM & Oishi, S 2004, Accurate sum and dot product with applications. in Proceedings of the IEEE International Symposium on Computer-Aided Control System Design. pp. 152-155, 2004 IEEE International Symposium on Computer Aided Control System Design, Taipei, 04/9/2.
    Ogita T, Rump SM, Oishi S. Accurate sum and dot product with applications. In Proceedings of the IEEE International Symposium on Computer-Aided Control System Design. 2004. p. 152-155
    Ogita, Takeshi ; Rump, Siegfried M. ; Oishi, Shinichi. / Accurate sum and dot product with applications. Proceedings of the IEEE International Symposium on Computer-Aided Control System Design. 2004. pp. 152-155
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