Wu Xinyuan. A Significant Improvement on Newton’s Iterative Method[J]. Applied Mathematics and Mechanics, 1999, 20(8): 863-866.
Citation: Wu Xinyuan. A Significant Improvement on Newton’s Iterative Method[J]. Applied Mathematics and Mechanics, 1999, 20(8): 863-866.

A Significant Improvement on Newton’s Iterative Method

  • Received Date: 1997-04-14
  • Rev Recd Date: 1999-01-05
  • Publish Date: 1999-08-15
  • For solving nonlinear and transcendental equation f(x)=0, a singnificant improvement on Newton s method is proposed in this paper. New Newton Like methods are founded on the basis of Liapunovs methods of dynamic system. These new methods preserve qudratic convergence and computation efficiency of Newtons method, but remove the monotoneity condition imposed on f(x):f(x)≠0.
  • loading
  • [1]
    Hale J K.Ordinary Differential Equations[M].Huntington,New York:Robert E Krieger Publishing Company,1982.
    [2]
    Hirsch M W,Smale S.Differential Equations,Dynamic Systems and Linear Algebra[M].New York and London:Academic Press,1974,192~193.
    [3]
    吴新元.解Stiff常微分方程的精确指数拟合法[J].南京大学学报(自然科学版),1997,31(1):1~6.
    [4]
    Traub J F.Solution of transcendental equations[A].In:A Ralston,H S Wilf Eds.Mathematical Methods for Digital Computers[C].Vol.New York:John Wiley & Sons,Inc,1968.
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (2540) PDF downloads(1285) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return