On a characterization of some Newton-like methods of R-order at least three

被引：45

作者：

Hernández, MA ^{[1
]}

Romero, N ^{[1
]}

机构：

[1] Univ La Rioja, Dept Math & Computat, Logrono, Spain

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2005年 / 183卷 / 01期

关键词：

iterative processes; R-order of convergence; semilocal convergence;

D O I：

10.1016/j.cam.2005.01.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we extend to Banach spaces the result given by Gander in to obtain a characterization of Newton-like iterative process with R-order of convergence at least three. To do this, we consider the construction and the study of the semilocal convergence of a multiparametric family of iterative processes in Banach spaces for solving the nonlinear equation F(x) = 0. (c) 2005 Elsevier B.V. All rights reserved.

引用

页码：53 / 66

页数：14

共 10 条

[1]

[Anonymous], 1984, NONDISCRETE INDUCTIO

[2]

ARGYROS IK, 1988, B AUSTRAL MATH SOC, V38, P275

[3] RECURRENCE RELATIONS FOR RATIONAL CUBIC METHODS .2. THE CHEBYSHEV METHOD [J].