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

页码：1613 / 1627

页数：15

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