An Improved Error Analysis for the Secant Method Under the Gamma Condition

被引：0
|
作者：
Argyros, Ioannis K. [1 ]
机构：
[1] Cameron Univ, Dept Math Sci, Lawton, OK 73505 USA
来源：
PUNJAB UNIVERSITY JOURNAL OF MATHEMATICS | 2007年 / 39卷
关键词：
Banach space; Secant method; Newton's method; Gamma condition; majorizing sequence; semilocal convergence; radius of convergence; Newton-Kantorovich theorem;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We provide sufficient convergence conditions for the Secant method for approximating a locally unique solution of an operator equation in a Banach space. The main hypothesis is a type of gamma condition first introduced in [9] for the study of Newton's method. Our sufficient convergence condition reduces to the one obtained in [12] for Newton's method although in general it can be weaker. A numerical example is also provided.
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页码：1 / 11
页数：11
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