GENERALIZED SECANT METHODS AND THEIR FRACTAL PATTERNS

被引：3

作者：

Liu, Xiang-Dong ^{[1
,2
]}

Zhang, Jin-Hai ^{[2
]}

Li, Zhi-Jie ^{[1
]}

Zhang, Jun-Xing ^{[1
]}

机构：

[1] Dalian Nationalities Univ, Res Inst Nonlinear Informat Technol, Dalian 116600, Liaoning, Peoples R China

[2] Liaoning Univ Sci & Technol, Fac Sci, Anshan 114044, Liaoning, Peoples R China

来源：

FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2009年 / 17卷 / 02期

关键词：

Newton's Method; Secant Method; Fractal Pattern;

D O I：

10.1142/S0218348X09004387

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, a class of generalized secant methods was investigated. The convergence of these methods was discussed, and their striking fractal patterns are generated to represent the chaotic behavior of these methods in the complex plane.

引用

页码：211 / 215

页数：5

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