A family of Chebyshev-Halley type methods in Banach spaces

被引：207

作者：

Gutierrez, JM ^{[1
]}

Hernandez, MA ^{[1
]}

机构：

[1] UNIV LA RIOJA,DPT MAT & COMPUTAC,LOGRONO 26004,SPAIN

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 1997年 / 55卷 / 01期

关键词：

D O I：

10.1017/S0004972700030586

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A family of third-order iterative processes (that includes Chebyshev and Halley's methods) is studied in Banach spaces. Results on convergence and uniqueness of solution are given, as well as error estimates. This study allows us to compare the most famous third-order iterative processes.

引用

页码：113 / 130

页数：18

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