Local convergence and dynamical analysis of a new family of optimal fourth-order iterative methods

被引：15

作者：

Artidiello, Santiago ^{[1
]}

Chicharro, Francisco ^{[1
]}

Cordero, Alicia ^{[1
]}

Torregrosa, Juan R. ^{[1
]}

机构：

[1] Univ Politecn Valencia, Inst Matemat Multidisciplinar, Valencia, Spain

来源：

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2013年 / 90卷 / 10期

关键词：

iterative methods; order of convergence; rational map; basin of attraction; conjugacy classes; 65H05; 37N30; 37F10; 37D05; SOLVING NONLINEAR EQUATIONS; ORDER;

D O I：

10.1080/00207160.2012.748900

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a family of new fourth-order optimal iterative methods for solving nonlinear equations is proposed. The classical King's family of fourth-order schemes is obtained as an special case. We also present results for describing the conjugacy classes and dynamics of some of the presented methods for complex polynomials of different degrees.

引用

页码：2049 / 2060

页数：12

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