A multidimensional generalization of some classes of iterative methods

被引：0
|
作者：
Miquel Grau-Sánchez
Miquel Noguera
José M. Gutiérrez
机构：
[1] Technical University of Catalonia,Department of Applied Mathematics II
[2] University of La Rioja,Department of Mathematics and Computer Sciences
来源：
SeMA Journal | 2017年 / 74卷 / 1期
关键词：
Divided difference; Order of convergence; Nonlinear equations; Iterative methods; Efficiency; 65H10; 47H99;
D O I：
10.1007/s40324-016-0080-2
中图分类号：
学科分类号：
摘要：
In this paper we extend to the multidimensional case some iterative methods that are known in their scalar version. All the schemes considered here are two-step methods with fourth-order local convergence, where the first step is Newton’s method. We analyze the efficiency of these new four algorithms and compare them in terms of the elapsed time needed for their computational implementation. We illustrate our results with some numerical examples and an application to the resolution of the systems arising from a Hammerstein’s integral equation.
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收藏
页码：57 / 73
页数：16
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