一类弱条件方程根的高阶收敛迭代法
일류약조건방정근적고계수렴질대법
High order convergent iterative method for extracting general roots of a weak condition equation
  • 万方数据
    仲恺农业工程学院学报 중개농업공정학원학보
    JOURNAL OF ZHONGKAI UNIVERSITY OF AGRICULTURE AND TECHNOLOGY
    2013年 4期 43-46 ,共4页

    陈新明%杨逢建

    진신명%양봉건

    Newton迭代法%重根%收敛阶 Newton迭代法%重根%收斂階
    Newton질대법%중근%수렴계
    Newton iterative method%multiple root%convergent order
    设方程f（ x）＝0有λ重根ai ，λ为任意正实数，当0＜λ＜1时，函数f（ x）在ai处不可导，作者给出了求这一类弱条件方程的λ重根的广义Newton迭代法，并证明了这种方法的收敛阶为4．
    설방정f（ x）＝0유λ중근ai ，λ위임의정실수，당0＜λ＜1시，함수f（ x）재ai처불가도，작자급출료구저일류약조건방정적λ중근적엄의Newton질대법，병증명료저충방법적수렴계위4．
    Assume equation f( x)=0 had λmultiple roots ai , λcould be any positive real number . When 0<λ<1, f(x) was not derivable where x=ai.A generalized Newton iterative method for λroots of specified kind of weak condition equation was presented , and the convergent order of the method was proved to be 4 .
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