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

页码：289 / 300

页数：12

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