Numerical verification of nonexistence of solutions for separable nonlinear equations and its application to all solutions algorithm

Yusuke Nakaya, Shinichi Oishi, Masahide Kashiwagi, Yuchi Kanzawa

    Research output: Contribution to journalArticle

    3 Citations (Scopus)

    Abstract

    In this paper, the objective is to derive with guaranteed accuracy all solutions of a finite-dimensional nonlinear equation within a certain range. In order to derive all solutions, it is important to extract efficiently the regions in which no solution exists. A new method is proposed in which nonexistence of solutions in a given region is judged with guaranteed accuracy. By solving specific numerical examples, the effectiveness of the proposed method is verified.

    Original languageEnglish
    Pages (from-to)45-53
    Number of pages9
    JournalElectronics and Communications in Japan, Part III: Fundamental Electronic Science (English translation of Denshi Tsushin Gakkai Ronbunshi)
    Volume86
    Issue number5
    DOIs
    Publication statusPublished - 2003 May

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    Nonlinear equations

    Keywords

    • All solution search
    • Nonexistence of solutions
    • Nonlinear equation
    • Numerical calculation with guaranteed accuracy

    ASJC Scopus subject areas

    • Electrical and Electronic Engineering

    Cite this

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    AU - Oishi, Shinichi

    AU - Kashiwagi, Masahide

    AU - Kanzawa, Yuchi

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    KW - Numerical calculation with guaranteed accuracy

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