AN IMPROVEMENT OF THE REGION OF ACCESSIBILITY OF CHEBYSHEV'S METHOD FROM NEWTON'S METHOD

被引：20
|
作者：
Ezquerro, J. A. [1 ]
Hernandez, M. A. [1 ]
机构：
[1] Univ La Rioja, Dept Math & Computat, Logrono 26004, Spain
来源：
MATHEMATICS OF COMPUTATION | 2009年 / 78卷 / 267期
关键词：
Nonlinear equations in Banach spaces; Newtons's method; Chebyshev's method; semilocal convergence theorem; R-order of convergence; region of accessibility;
D O I：
10.1090/S0025-5718-09-02193-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A simple modification of Chebyshev's method is presented, so that the region of accessibility is extended to the one of Newton's method.
引用
收藏
页码：1613 / 1627
页数：15
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