ALGORITHMS FOR SOLVING SYSTEMS OF NONLINEAR EQUATIONS BY KEVORKIAN'S DECOMPOSITION METHOD AND THEIR QUADRATIC CONVERGENCE PROPERTY.

Kiyotaka Yamamura, Shinichi Oishi, Kazuo Horiuchi

    Research output: Contribution to journalArticle

    Abstract

    This paper presents a solution algorithm for the system of nonlinear equations by Kevorkian's decomposition. The local quadratic convergence of the algorithm is discussed. By Kevorkian's decomposition, the system of equations to solve is reduced to systems of lower dimensions, which improves the computation time. However, it is important to examine the error in the inner loop and convergence of the algorithm to improve the convergence speed. By the method shown in this paper, it is possible that the algorithm retains the quadratic convergence as in the usual Newton method.

    Original languageEnglish
    Pages (from-to)33-41
    Number of pages9
    JournalElectronics & communications in Japan
    Volume66
    Issue number11
    Publication statusPublished - 1983 Nov

    Fingerprint

    Nonlinear equations
    Decomposition
    Newton-Raphson method

    ASJC Scopus subject areas

    • Engineering(all)

    Cite this

    ALGORITHMS FOR SOLVING SYSTEMS OF NONLINEAR EQUATIONS BY KEVORKIAN'S DECOMPOSITION METHOD AND THEIR QUADRATIC CONVERGENCE PROPERTY. / Yamamura, Kiyotaka; Oishi, Shinichi; Horiuchi, Kazuo.

    In: Electronics & communications in Japan, Vol. 66, No. 11, 11.1983, p. 33-41.

    Research output: Contribution to journalArticle

    @article{0d93e68e36b54b67a5a60b2424bcf2d9,
    title = "ALGORITHMS FOR SOLVING SYSTEMS OF NONLINEAR EQUATIONS BY KEVORKIAN'S DECOMPOSITION METHOD AND THEIR QUADRATIC CONVERGENCE PROPERTY.",
    abstract = "This paper presents a solution algorithm for the system of nonlinear equations by Kevorkian's decomposition. The local quadratic convergence of the algorithm is discussed. By Kevorkian's decomposition, the system of equations to solve is reduced to systems of lower dimensions, which improves the computation time. However, it is important to examine the error in the inner loop and convergence of the algorithm to improve the convergence speed. By the method shown in this paper, it is possible that the algorithm retains the quadratic convergence as in the usual Newton method.",
    author = "Kiyotaka Yamamura and Shinichi Oishi and Kazuo Horiuchi",
    year = "1983",
    month = "11",
    language = "English",
    volume = "66",
    pages = "33--41",
    journal = "Electronics and Communications in Japan",
    issn = "0424-8368",
    publisher = "Scripta Pub Co.",
    number = "11",

    }

    TY - JOUR

    T1 - ALGORITHMS FOR SOLVING SYSTEMS OF NONLINEAR EQUATIONS BY KEVORKIAN'S DECOMPOSITION METHOD AND THEIR QUADRATIC CONVERGENCE PROPERTY.

    AU - Yamamura, Kiyotaka

    AU - Oishi, Shinichi

    AU - Horiuchi, Kazuo

    PY - 1983/11

    Y1 - 1983/11

    N2 - This paper presents a solution algorithm for the system of nonlinear equations by Kevorkian's decomposition. The local quadratic convergence of the algorithm is discussed. By Kevorkian's decomposition, the system of equations to solve is reduced to systems of lower dimensions, which improves the computation time. However, it is important to examine the error in the inner loop and convergence of the algorithm to improve the convergence speed. By the method shown in this paper, it is possible that the algorithm retains the quadratic convergence as in the usual Newton method.

    AB - This paper presents a solution algorithm for the system of nonlinear equations by Kevorkian's decomposition. The local quadratic convergence of the algorithm is discussed. By Kevorkian's decomposition, the system of equations to solve is reduced to systems of lower dimensions, which improves the computation time. However, it is important to examine the error in the inner loop and convergence of the algorithm to improve the convergence speed. By the method shown in this paper, it is possible that the algorithm retains the quadratic convergence as in the usual Newton method.

    UR - http://www.scopus.com/inward/record.url?scp=0020844359&partnerID=8YFLogxK

    UR - http://www.scopus.com/inward/citedby.url?scp=0020844359&partnerID=8YFLogxK

    M3 - Article

    AN - SCOPUS:0020844359

    VL - 66

    SP - 33

    EP - 41

    JO - Electronics and Communications in Japan

    JF - Electronics and Communications in Japan

    SN - 0424-8368

    IS - 11

    ER -