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.

引用

页码：395 / 399

页数：5