THE JARRATT METHOD IN BANACH-SPACE SETTING

被引：57

作者：

ARGYROS, IK

CHEN, D

QIAN, QS

机构：

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

[2] UNIV ARKANSAS, DEPT MATH SCI, FAYETTEVILLE, AR 72701 USA

[3] UNIV KENTUCKY, DEPT MATH, LEXINGTON, KY 40506 USA

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1994年 / 51卷 / 01期

关键词：

JARRATT METHOD; BANACH SPACES; OPTIMAL ERROR ESTIMATE; NEWTON-KANTOROVICH ASSUMPTIONS;

D O I：

10.1016/0377-0427(94)90093-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this note, we extend the Jarratt method of order four into Banach spaces. We also establish a Kantorovich-type convergence theorem (see the References) and give an explicit expression for the error bound of the method (Jarratt, 1966, 1969).

引用

页码：103 / 106

页数：4

共 11 条

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[10]

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