Real qualitative behavior of a fourth-order family of iterative methods by using the convergence plane
- Magreñán, Á.A. 1
- Cordero, A. 2
- Gutiérrez, J.M. 3
- Torregrosa, J.R. 2
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1
Universidad Internacional de La Rioja
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2
Universidad Politécnica de Valencia
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3
Universidad de La Rioja
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ISSN: 0378-4754
Year of publication: 2014
Volume: 105
Pages: 49-61
Type: Article
More publications in: Mathematics and Computers in Simulation
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Abstract
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. © 2014 IMACS.