A High-Order Newton-Like Method

被引:1
|
作者
WANG Xiuhua1
2. Department of Mathematics
3. Microsoft Corporation
机构
基金
中国国家自然科学基金;
关键词
non-linear equation; iterative method; Newton’s method; root-finding;
D O I
暂无
中图分类号
O241.7 [非线性代数方程和超越方程的数值解法];
学科分类号
摘要
This paper gives a new iterative method to solve the non-linear equation. We prove that this method has the asymptotic convergent order. When the iterative times exceed 2,only one evaluation of the function and one of its first derivative is required by each iteration of the method.Therefore the new method is better than Newton’s method.
引用
收藏
页码:4 / 6
页数:3
相关论文
共 50 条
  • [41] Newton-like and inexact Newton-like methods for a parameterized generalized inverse eigenvalue problem
    Dalvand, Zeynab
    Hajarian, Masoud
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 44 (06) : 4217 - 4234
  • [42] On the convergence of Newton-like MS method with dynamics and applications
    Singh M.K.
    Singh B.R.
    Mishra D.K.
    SeMA Journal, 2023, 80 (4) : 663 - 686
  • [43] A Generalized Newton-Like Method for Solving Variational Inequalities
    林正华
    宋岱
    Northeastern Mathematical Journal, 1997, (04) : 495 - 502
  • [44] Recurrence relations for a Newton-like method in Banach spaces
    Parida, P. K.
    Gupta, D. K.
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2007, 206 (02) : 873 - 887
  • [45] NEWTON-LIKE METHOD WITH DIAGONAL CORRECTION FOR DISTRIBUTED OPTIMIZATION
    Bajovic, Dragana
    Jakovetic, Dusan
    Krejic, Natasa
    Jerinkic, Natasa Krklec
    SIAM JOURNAL ON OPTIMIZATION, 2017, 27 (02) : 1171 - 1203
  • [46] Solving a boundary value problem by a Newton-like method
    Ezquerro, JA
    Hernández, MA
    Salanova, MA
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2002, 79 (10) : 1113 - 1120
  • [47] APPROXIMATING NEWTON-LIKE PROCEDURES
    ARGYROS, IK
    APPLIED MATHEMATICS LETTERS, 1992, 5 (01) : 27 - 29
  • [48] On multivariate Newton-like inequalities
    Gurvits, Leonid
    ADVANCES IN COMBINATORIAL MATHEMATICS, 2009, : 61 - 78
  • [49] ON THE DISCRETIZATION OF NEWTON-LIKE METHODS
    ARGYROS, IK
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 1994, 52 (3-4) : 161 - 170
  • [50] New third-order Newton-like method with lower iteration number and lower TNFE
    Pantelimon George Popescu
    Radu Poenaru
    Florin Pop
    Soft Computing, 2017, 21 : 459 - 466