An algorithm for iteratively refining the interval including the solution set of parameter-dependent nonlinear equations

    Research output: Contribution to journalArticle

    Abstract

    An algorithm for iteratively refining the interval including the solution set of parameter-dependent nonlinear equations was proposed. The precision guarantee technique requiring numerical computations consisted of simultaneous numerical computations and error evaluation. The effectiveness of the proposed algorithm was shown using specific numerical examples.

    Original languageEnglish
    Pages (from-to)39-44
    Number of pages6
    JournalElectronics and Communications in Japan, Part III: Fundamental Electronic Science (English translation of Denshi Tsushin Gakkai Ronbunshi)
    Volume85
    Issue number4
    DOIs
    Publication statusPublished - 2002

    Fingerprint

    Nonlinear equations
    Refining

    Keywords

    • Interval analysis
    • Interval iteration
    • Parameter-dependent nonlinear equations
    • Precision guarantee-imposed numerical computations

    ASJC Scopus subject areas

    • Electrical and Electronic Engineering

    Cite this

    @article{0868a8e4000243e3814c8cb96645c9ce,
    title = "An algorithm for iteratively refining the interval including the solution set of parameter-dependent nonlinear equations",
    abstract = "An algorithm for iteratively refining the interval including the solution set of parameter-dependent nonlinear equations was proposed. The precision guarantee technique requiring numerical computations consisted of simultaneous numerical computations and error evaluation. The effectiveness of the proposed algorithm was shown using specific numerical examples.",
    keywords = "Interval analysis, Interval iteration, Parameter-dependent nonlinear equations, Precision guarantee-imposed numerical computations",
    author = "Yuchi Kanzawa and Masahide Kashiwagi and Shinichi Oishi",
    year = "2002",
    doi = "10.1002/ecjc.1085",
    language = "English",
    volume = "85",
    pages = "39--44",
    journal = "Electronics and Communications in Japan, Part III: Fundamental Electronic Science (English translation of Denshi Tsushin Gakkai Ronbunshi)",
    issn = "1042-0967",
    publisher = "John Wiley and Sons Inc.",
    number = "4",

    }

    TY - JOUR

    T1 - An algorithm for iteratively refining the interval including the solution set of parameter-dependent nonlinear equations

    AU - Kanzawa, Yuchi

    AU - Kashiwagi, Masahide

    AU - Oishi, Shinichi

    PY - 2002

    Y1 - 2002

    N2 - An algorithm for iteratively refining the interval including the solution set of parameter-dependent nonlinear equations was proposed. The precision guarantee technique requiring numerical computations consisted of simultaneous numerical computations and error evaluation. The effectiveness of the proposed algorithm was shown using specific numerical examples.

    AB - An algorithm for iteratively refining the interval including the solution set of parameter-dependent nonlinear equations was proposed. The precision guarantee technique requiring numerical computations consisted of simultaneous numerical computations and error evaluation. The effectiveness of the proposed algorithm was shown using specific numerical examples.

    KW - Interval analysis

    KW - Interval iteration

    KW - Parameter-dependent nonlinear equations

    KW - Precision guarantee-imposed numerical computations

    UR - http://www.scopus.com/inward/record.url?scp=0036170233&partnerID=8YFLogxK

    UR - http://www.scopus.com/inward/citedby.url?scp=0036170233&partnerID=8YFLogxK

    U2 - 10.1002/ecjc.1085

    DO - 10.1002/ecjc.1085

    M3 - Article

    VL - 85

    SP - 39

    EP - 44

    JO - Electronics and Communications in Japan, Part III: Fundamental Electronic Science (English translation of Denshi Tsushin Gakkai Ronbunshi)

    JF - Electronics and Communications in Japan, Part III: Fundamental Electronic Science (English translation of Denshi Tsushin Gakkai Ronbunshi)

    SN - 1042-0967

    IS - 4

    ER -