Improved convergence analysis for the secant method based on a certain type of recurrence relations

被引：5
|
作者：
Argyros, IK [1 ]
机构：
[1] Cameron Univ, Dept Math Sci, Lawton, OK 73505 USA
来源：
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2004年 / 81卷 / 05期
关键词：
secant method; Banach space; divided difference of order one; Frechet-derivative; semilocal/local convergence;
D O I：
10.1080/00207160410001688600
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We provide new sufficient conditions for the local as well as semilocal convergence of the secant method in a Banach space. Using a certain type of recurrence relations, we provide a finer convergence analysis than before. Moreover, our conditions compare favourably with earlier ones, which allow us to apply our results in cases not covered before.
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页码：629 / 637
页数：9
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