A class of quasi-Newton generalized Steffensen methods on Banach spaces

被引：32

作者：

Amat, S

Busquier, S

Candela, V

机构：

[1] Univ Politecn Cartagena, Dept Matemat Aplicada & Estadist, Cartegena, Murcia, Spain

[2] Univ Valencia, Dept Matemat, E-46003 Valencia, Spain

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2002年 / 149卷 / 02期

关键词：

generalized Steffensen methods; nonlinear equations; Kantarovich conditions;

D O I：

10.1016/S0377-0427(02)00484-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a class of generalized Steffensen iterations procedure for solving nonlinear equations on Banach spaces without any derivative. We establish the convergence under the Kantarovich-Ostrowski's conditions. The majorizing sequence will be a Newton's type sequence, thus the convergence can have better properties. Finally, a numerical comparation with the classical methods is presented. (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：397 / 406

页数：10