An improved approach to automatic error cumulation control

J.H.J. Molenkamp, V.V. Goldman, J.A. van Hulzen

    Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

    3 Citations (Scopus)
    47 Downloads (Pure)

    Abstract

    For evaluation of arithmetical expressions using multiple precision floating-point arithmetic, a method is given to automatically perform error cumulation control prior to the actual computations. Individual errors and their effects are identified,
    and it is shown how to compute these effects efficiently via automatic differentiation. In the presented approach these effects we used to determine which precisions have to be chosen during the real computations, in order to limit error cumulation to admissible, user chosen error bounds.
    Original languageEnglish
    Title of host publicationISSAC'91
    Subtitle of host publicationProceedings of the 1991 International Symposium on Symbolic and Algebraic Computation 1991
    Place of PublicationNew York, NY
    PublisherAssociation for Computing Machinery (ACM)
    Pages414-418
    Number of pages5
    ISBN (Print)9780897914376
    DOIs
    Publication statusPublished - 1 Sep 1991
    EventInternational Symposium on Symbolic and Algebraic Computation, ISSAC 1991 - Bonn, Germany
    Duration: 15 Jul 199117 Jul 1991

    Conference

    ConferenceInternational Symposium on Symbolic and Algebraic Computation, ISSAC 1991
    Abbreviated titleISSAC
    CountryGermany
    CityBonn
    Period15/07/9117/07/91

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