Existence test for solution of nonlinear systems applying affine arithmetic

Shinya Miyajima, Masahide Kashiwagi

    Research output: Contribution to journalArticle

    11 Citations (Scopus)

    Abstract

    A computational test is proposed for existence of solution in nonlinear systems. In this test, an interval inclusion of Newton mapping is estimated applying affine arithmetic. Numerical examples are presented to show the efficiency of this test.

    Original languageEnglish
    Pages (from-to)304-309
    Number of pages6
    JournalJournal of Computational and Applied Mathematics
    Volume199
    Issue number2
    DOIs
    Publication statusPublished - 2007 Feb 15

    Fingerprint

    Nonlinear systems
    Nonlinear Systems
    Existence of Solutions
    Inclusion
    Numerical Examples
    Interval

    Keywords

    • Affine arithmetic
    • Interval analysis
    • Nonlinear systems

    ASJC Scopus subject areas

    • Applied Mathematics
    • Computational Mathematics
    • Numerical Analysis

    Cite this

    Existence test for solution of nonlinear systems applying affine arithmetic. / Miyajima, Shinya; Kashiwagi, Masahide.

    In: Journal of Computational and Applied Mathematics, Vol. 199, No. 2, 15.02.2007, p. 304-309.

    Research output: Contribution to journalArticle

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