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

Á. Alberto Magreñán, Alicia Cordero, José M. Gutiérrez and Juan R. Torregrosa

Mathematics and Computers in Simulation (MATCOM), 2014, vol. 105, issue C, 49-61

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.

Keywords: Real dynamics; Nonlinear problems; Convergence plane; Basins of attraction; Stability (search for similar items in EconPapers)
Date: 2014
References: View complete reference list from CitEc
Citations: View citations in EconPapers (9)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378475414001086
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:105:y:2014:i:c:p:49-61

DOI: 10.1016/j.matcom.2014.04.006

Access Statistics for this article

Mathematics and Computers in Simulation (MATCOM) is currently edited by Robert Beauwens

More articles in Mathematics and Computers in Simulation (MATCOM) from Elsevier
Bibliographic data for series maintained by Catherine Liu ().