ON A SECANT-LIKE METHOD FOR SOLVING GENERALIZED EQUATIONS

被引：0
|
作者：
Argyros, Ioannis K. [1 ]
Hilout, Said [2 ]
机构：
[1] Cameron Univ, Dept Math Sci, Lawton, OK 73505 USA
[2] Univ Poitiers, Dept Applicat Math, F-86962 Futuroscope, France
来源：
MATHEMATICA BOHEMICA | 2008年 / 133卷 / 03期
关键词：
secant-like method; generalized equations; Aubin continuity; radius of convergence; divided difference;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the paper by Hilout and Pietrus (2006) a semilocal convergence analysis was given for the secant-like method to solve generalized equations using Holder-type conditions introduced by the first author (for nonlinear equations). Here, we show that this convergence analysis can be refined under weaker hypothesis, and less computational cost. Moreover finer error estimates on the distances involved and a larger radius of convergence are obtained.
引用
收藏
页码：313 / 320
页数：8
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