High-Order Extension of an Efficient Iterative Method for Solving Nonlinear Problems

被引：1

作者：

Chicharro, F. I. ^{[1
]}

Cordero, A. ^{[1
]}

Torregrosa, J. R. ^{[1
]}

机构：

[1] Univ Politecn Valencia, Inst Multidisciplinary Math, Valencia, Spain

来源：

INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2017) | 2018年 / 1978卷

关键词：

D O I：

10.1063/1.5043938

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a parametric family of twelfth-order iterative methods for solving nonlinear systems is presented. Its local convergence is studied and quadratic polynomials are used to investigate its dynamical behavior. The study of fixed and critical points of the rational function associated allows us to obtain regions of the complex plane where the method is stable. From parameter planes and dynamical planes complementary information of the analytical results is obtained.

引用

页数：4

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