On the choice of the best members of the Kim family and the improvement of its convergence

被引：13

作者：

Chicharro Lopez, Francisco Israel ^{[1
]}

Cordero, Alicia ^{[2
]}

Garrido, Neus ^{[2
]}

Torregrosa, Juan Ramon ^{[2
]}

机构：

[1] Univ Int La Rioja, Escuela Super Ingn & Tecnol, Logrono, Spain

[2] Univ Politecn Valencia, Inst Multidisciplinary Math, Camino Vera S-N, E-46022 Valencia, Spain

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2020年 / 43卷 / 14期

关键词：

basin of attraction; iterative methods with memory; low-dimensional dynamical systems; nonlinear algebraic or transcendental equations; parameter plane; stability; ITERATIVE METHODS; DYNAMICS; CONSTRUCTION; STABILITY; ORDER;

D O I：

10.1002/mma.6014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The best members of the Kim family, in terms of stability, are obtained by using complex dynamics. From this elements, parametric iterative methods with memory are designed. A dynamical analysis of the methods with memory is presented in order to obtain information about the stability of them. Numerical experiments are shown for confirming the theoretical results.

引用

页码：8051 / 8066

页数：16

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