On the convergence of an optimal fourth-order family of methods and its dynamics
On the convergence of an optimal fourth-order family of methods and its dynamics
复制标题
论最优四阶方法族的收敛性及其动力学
DOI:
10.1016/j.amc.2014.11.074
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发表时间:
2015
期刊:
影响因子:
--
通讯作者:
Á. Magreñán
中科院分区:
文献类型:
--
作者:
I. Argyros;Á. Magreñán
In this paper, we present the study of the semilocal and local convergence of an optimal fourth-order family of methods. Moreover, the dynamical behavior of this family of iterative methods applied to quadratic polynomials is studied. Some anomalies are found in this family be means of studying the dynamical behavior. Parameter spaces are shown and the study of the stability of all the fixed points is presented.