Dynamics and Fractal Dimension of Steffensen-Type Methods

Dynamics and Fractal Dimension of Steffensen-Type Methods

In this paper, the dynamical behavior of different optimal iterative schemes for solving nonlinear equations with increasing order, is studied. The tendency of the complexity of the Julia set is analyzed and referred to the fractal dimension. In fact, this fractal dimension can be shown to be a powe...

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Bibliographic Details
Main Authors: Francisco I. Chicharro, Alicia Cordero, Juan R. Torregrosa
Format: Article
Language:English
Published: MDPI AG 2015-06-01
Series:Algorithms
Subjects:
nonlinear equation
derivative-free
dynamical plane
fractal dimension
Padé-like approximant
Online Access:http://www.mdpi.com/1999-4893/8/2/271

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