The secant method for nondifferentiable operators

被引：40
|
作者：
Hernández, MA [1 ]
Rubio, MJ [1 ]
机构：
[1] Univ La Rioja, Dept Math & Computat, Logrono 26004, Spain
来源：
APPLIED MATHEMATICS LETTERS | 2002年 / 15卷 / 04期
关键词：
the Secant method; recurrence relations; nondifferentiable operator;
D O I：
10.1016/S0893-9659(01)00150-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we use the Secant method to find a solution of a nonlinear operator equation in Banach spaces. A semilocal convergence result is obtained. For that, we consider a condition for divided differences which generalizes the usual ones, i.e., Lipschitz continuous or Holder continuous conditions. Besides, we apply our results to approximate the solution of a nonlinear equation. (C) 2002 Elsevier Science Ltd. All rights reserved.
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页码：395 / 399
页数：5
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