ON SEMILOCAL CONVERGENCE OF INEXACT NEWTON METHODS

被引：0
|
作者：
Xueping Guo (Department of Mathematics
机构：
来源：
Journal of Computational Mathematics | 2007年 / 02期
基金：
中国国家自然科学基金;
关键词：
Banach space; Systems of nonlinear equations; Newton’s method; The splitting method; Inexact Newton methods;
D O I：
暂无
中图分类号：
O241 [数值分析];
学科分类号：
070102 ;
摘要：
Inexact Newton methods are constructed by combining Newton’s method with anotheriterative method that is used to solve the Newton equations inexactly.In this paper,weestablish two semilocal convergence theorems for the inexact Newton methods.When thesetwo theorems are specified to Newton’s method,we obtain a different Newton-Kantorovichtheorem about Newton’s method.When the iterative method for solving the Newtonequations is specified to be the splitting method,we get two estimates about the iterationsteps for the special inexact Newton methods.
引用
收藏
页码：231 / 242
页数：12
相关论文
共 50 条
  • [1] On semilocal convergence of inexact Newton methods
    Guo, Xueping
    [J]. JOURNAL OF COMPUTATIONAL MATHEMATICS, 2007, 25 (02) : 231 - 242
  • [2] On the semilocal convergence of inexact Newton methods in Banach spaces
    Argyros, Ioannis K.
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 228 (01) : 434 - 443
  • [3] Kantorovich-type semilocal convergence analysis for inexact Newton methods
    Argyros, Ioannis K.
    Ren, Hongmin
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2011, 235 (09) : 2993 - 3005
  • [4] On the convergence of inexact newton methods
    Idema, Reijer
    Lahaye, Domenico
    Vuik, Cornelis
    [J]. Lecture Notes in Computational Science and Engineering, 2015, 103 : 355 - 363
  • [5] On the convergence of inexact Newton methods
    Idema, Reijer
    Lahaye, Domenico
    Vuik, Cornelis
    [J]. Lecture Notes in Computational Science and Engineering, 2013, 103 : 355 - 363
  • [6] Semilocal Convergence Analysis for Inexact Newton Method under Weak Condition
    Xu, Xiubin
    Xiao, Yuan
    Liu, Tao
    [J]. ABSTRACT AND APPLIED ANALYSIS, 2012,
  • [7] A semilocal convergence analysis of an inexact Newton method using recurrent relations
    Argyros, Ioannis K.
    Uko, Livinus U.
    [J]. PUNJAB UNIVERSITY JOURNAL OF MATHEMATICS, 2013, 45 : 25 - 32
  • [8] Convergence behaviour of inexact Newton methods
    Morini, B
    [J]. MATHEMATICS OF COMPUTATION, 1999, 68 (228) : 1605 - 1613
  • [9] Concerning the convergence of inexact Newton methods
    Argyros, IK
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1997, 79 (02) : 235 - 247
  • [10] CONVERGENCE OF INEXACT CONIC NEWTON METHODS
    胡蓉
    盛松柏
    [J]. Numerical Mathematics(Theory,Methods and Applications), 1998, (02) : 159 - 168
12345