On the efficiency of two variants of Kurchatov’s method for solving nonlinear systems

被引：0
|
作者：
José Antonio Ezquerro
Angela Grau
Miquel Grau-Sánchez
Miguel Ángel Hernández
机构：
[1] University of La Rioja,Department of Mathematics and Computation
[2] Technical University of Catalonia,Department of Applied Mathematics II
来源：
Numerical Algorithms | 2013年 / 64卷
关键词：
Divided difference; -order of convergence; Nonlinear equations; Kurchatov’s method; Iterative methods; Computational efficiency; 47H99; 65H10;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We consider Kurchatov’smethod and construct two variants of this method for solving systems of nonlinear equations and deduce their local R-orders of convergence in a direct symbolic computation. We also propose a generalization to several variables of the efficiency used in the scalar case and analyse the efficiencies of the three methods when they are used to solve systems of nonlinear equations.
引用
收藏
页码：685 / 698
页数：13
相关论文
共 50 条
  • [21] Several New Families of Jarratt's Method for Solving Systems of Nonlinear Equations
    Kanwar, V.
    Kumar, Sanjeev
    Behl, Ramandeep
    APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL, 2013, 8 (02): : 701 - 716
  • [22] Derivative-Free Iterative Methods with Some Kurchatov-Type Accelerating Parameters for Solving Nonlinear Systems
    Wang, Xiaofeng
    Jin, Yingfanghua
    Zhao, Yali
    SYMMETRY-BASEL, 2021, 13 (06):
  • [23] On semilocal convergence of two step Kurchatov method
    Kumar, Himanshu
    Parida, P. K.
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2019, 96 (08) : 1548 - 1566
  • [24] Some Efficient One-point Variants of Halley's Method, with Memory, for Solving Nonlinear Equations
    Ramos, Higinio
    PROCEEDINGS OF THE INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2014 (ICNAAM-2014), 2015, 1648
  • [25] On the Convergence of Two-Step Kurchatov-Type Methods under Generalized Continuity Conditions for Solving Nonlinear Equations
    Argyros, Ioannis K.
    Shakhno, Stepan
    Regmi, Samundra
    Yarmola, Halyna
    SYMMETRY-BASEL, 2022, 14 (12):
  • [26] More Efficient Iterative Methods than Newton's Method for Solving Nonlinear Systems
    Ezquerro, J. A.
    Hernandez, M. A.
    PROCEEDINGS OF THE SEVENTH INTERNATIONAL CONFERENCE ON ENGINEERING COMPUTATIONAL TECHNOLOGY, 2010, 94
  • [27] On new iterative method for solving systems of nonlinear equations
    Awawdeh, Fadi
    NUMERICAL ALGORITHMS, 2010, 54 (03) : 395 - 409
  • [28] On new iterative method for solving systems of nonlinear equations
    Fadi Awawdeh
    Numerical Algorithms, 2010, 54 : 395 - 409
  • [29] METHOD OF SOLVING NONLINEAR EQUATION SYSTEMS WITH BOOLEAN VARIABLES
    Lytvynenko, Olexander
    AVIATION, 2008, 12 (03) : 80 - 86
  • [30] Finite element method for solving nonlinear parabolic systems
    Farago, I.
    Computers & Mathematics with Applications, 1600, 21 (01):
12345