Majorizing functions and two-point Newton-type methods

被引：10
|
作者：
Chen, Jinhai [1 ]
Argyros, Ioannis K. [2 ]
Agarwal, Ravi P. [3 ]
机构：
[1] Univ Colorado, Dept Math & Stat Sci, Denver, CO 80217 USA
[2] Cameron Univ, Dept Math Sci, Lawton, OK 73505 USA
[3] Florida Inst Technol, Dept Math Sci, Melbourne, FL 32901 USA
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2010年 / 234卷 / 05期
关键词：
Newton-type method; Banach space; Semi-local convergence; Lipschitz condition; Frechet derivative; Majorizing sequences; CONVERGENCE; THEOREM;
D O I：
10.1016/j.cam.2010.02.024
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The semi-local convergence of a Newton-type method used to solve nonlinear equations in a Banach space is studied. We also give, as two important applications, convergence analyses of two classes of two-point Newton-type methods including a method mentioned in [5] and the midpoint method studied in [1,2,12]. Recently, interest has been shown in such methods [3,4]. (C) 2010 Elsevier B.V. All rights reserved.
引用
收藏
页码：1473 / 1484
页数：12
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