A New Dividing Method in Affine Arithmetic

Shinya Miyajima, Takatomi Miyata, Masahide Kashiwagi

    Research output: Contribution to journalArticle

    7 Citations (Scopus)

    Abstract

    Affine arithmetic is a kind of interval arithmetic defined by Stolfi et al. In affine arithmetic, it is difficult to realize the efficient nonlinear binomial operations. The purpose of this letter is to propose a new dividing method which is able to supply more suitable evaluation than the old dividing method. And this letter also shows the efficiency of the new dividing method by numerical examples.

    Original languageEnglish
    Pages (from-to)2192-2196
    Number of pages5
    JournalIEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
    VolumeE86-A
    Issue number9
    Publication statusPublished - 2003 Sep

    Fingerprint

    Interval Arithmetic
    Numerical Examples
    Evaluation

    Keywords

    • Affine arithmetic
    • Division
    • Interval arithmetic
    • Numerical computation with guaranteed accuracy

    ASJC Scopus subject areas

    • Electrical and Electronic Engineering
    • Hardware and Architecture
    • Information Systems

    Cite this

    A New Dividing Method in Affine Arithmetic. / Miyajima, Shinya; Miyata, Takatomi; Kashiwagi, Masahide.

    In: IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, Vol. E86-A, No. 9, 09.2003, p. 2192-2196.

    Research output: Contribution to journalArticle

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