Development of a Family of Jarratt-Like Sixth-Order Iterative Methods for Solving Nonlinear Systems with Their Basins of Attraction

被引：7
|
作者：
Lee, Min-Young [1 ]
Kim, Young Ik [1 ]
机构：
[1] Dankook Univ, Dept Math, Cheonan 330714, South Korea
来源：
ALGORITHMS | 2020年 / 13卷 / 11期
关键词：
basins of attraction; dynamics; sixth-order; error equation; nonlinear systems; CONVERGENCE;
D O I：
10.3390/a13110303
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
We develop a family of three-step sixth order methods with generic weight functions employed in the second and third sub-steps for solving nonlinear systems. Theoretical and computational studies are of major concern for the convergence behavior with applications to special cases of rational weight functions. A number of numerical examples are illustrated to confirm the convergence behavior of local as well as global character of the proposed and existing methods viewed through the basins of attraction.
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页数：24
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