On Halley-type iterations with free second derivative

被引：41

作者：

Ezquerro, JA ^{[1
]}

Hernández, MA ^{[1
]}

机构：

[1] Univ La Rioja, Dept Math & Computat, Logrono 26004, Spain

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2004年 / 170卷 / 02期

关键词：

nonlinear equations in Banach spaces; the Halley method; semilocal convergence theorem; multipoint; iterations;

D O I：

10.1016/j.cam.2004.02.020

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we relax the convergence conditions required in Ezquerro and Hernandez (Int. J. Pure Appl. Math. 6(1) (2003) 103) for a multipoint third-order iteration of Halley type, where the conditions provided are the known ones for methods of order three. (C) 2004 Elsevier B.V. All rights reserved.

引用

页码：455 / 459

页数：5

共 6 条

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ARGYROS, IK
QIAN, QS
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[4] EZQUERRO JA, 2003, INT J PURE APPL MATH, V6, P103
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Hernández, MA
Salanova, MA
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2000, 126 (1-2) : 131 - 143
[6] A METHOD FOR FINDING SHARP ERROR-BOUNDS FOR NEWTON METHOD UNDER THE KANTOROVICH ASSUMPTIONS
YAMAMOTO, T
[J]. NUMERISCHE MATHEMATIK, 1986, 49 (2-3) : 203 - 220

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