A LOCAL CONVERGENCE THEOREM FOR THE SUPER-HALLEY METHOD IN A BANACH-SPACE

被引：53

作者：

CHEN, D

ARGYROS, IK

QIAN, Q

机构：

[1] CAMERON UNIV,DEPT MATH,LAWTON,OK 73505

[2] UNIV KENTUCKY,DEPT MATH,LEXINGTON,KY 40506

来源：

APPLIED MATHEMATICS LETTERS | 1994年 / 7卷 / 05期

关键词：

NONLINEAR OPERATOR EQUATION; SUPER-HALLEY METHOD; BANACH SPACES;

D O I：

10.1016/0893-9659(94)90071-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A local convergence theorem for the super-Bailey method is presented here to solve nonlinear equations in Banach space. The method is of order four for quadratic equations. Most authors (including the famous conjecture by Traub for functions of one variable) have shown that this method is of order three only. Some applications are also provided, where our results apply, but previous related results do not.

引用

页码：49 / 52

页数：4

共 16 条

[1]

ARGYROS IK, 1993, THEORY APPLICATIONS

[2]

ARGYROS IK, 1989, AEQUATIONS MATH, V36, P99

[3] RECURRENCE RELATIONS FOR RATIONAL CUBIC METHODS .1. THE HALLEY METHOD [J].