Real qualitative behavior of a fourth-order family of iterative methods by using the convergence plane

The real dynamics of a family of fourth-order iterative methods is studied when it is applied on quadratic polynomials. A Scaling Theorem is obtained and the conjugacy classes are analyzed. The convergence plane is used to obtain the same kind of information as from the parameter space, and even more, in complex dynamics.

MoreLess

Year of publication:	2014
Authors:	Magreñán, Á. Alberto ; Cordero, Alicia ; Gutiérrez, José M. ; Torregrosa, Juan R.
Published in:	Mathematics and Computers in Simulation (MATCOM). - Elsevier, ISSN 0378-4754. - Vol. 105.2014, C, p. 49-61
Publisher:	Elsevier
Subject:	Real dynamics \| Nonlinear problems \| Convergence plane \| Basins of attraction \| Stability

More details

Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10011050899