Local convergence of a one parameter fourth-order Jarratt-type method in Banach spaces

被引：1
|
作者：
Argyros, I. K. [1 ]
Gonzalez, D. [2 ]
Khattri, S. K. [3 ]
机构：
[1] Cameron Univ, Dept Math Sci, Lawton, OK 73505 USA
[2] Univ Las Amer, Escuela Ciencias Fis & Matemat, Quito, Ecuador
[3] Stord Haugesund Univ Coll, Dept Engn, Haugesund, Norway
来源：
COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE | 2016年 / 57卷 / 03期
关键词：
Banach space; Newton's method; local convergence; radius of convergence;
D O I：
10.14712/1213-7243.2015.171
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We present a local convergence analysis of a one parameter Jarratt-type method. We use this method to approximate a solution of an equation in a Banach space setting. The semilocal convergence of this method was recently carried out in earlier studies under stronger hypotheses. Numerical examples are given where earlier results such as in [Ezquerro J.A., Hernandez M.A., New iterations of R-order four with reduced computational cost, BIT Numer. Math. 49 (2009), 325-342] cannot be used to solve equations but our results can be applied.
引用
收藏
页码：289 / 300
页数：12
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