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2014 Study of a Biparametric Family of Iterative Methods
B. Campos, A. Cordero, Á. A. Magreñán, J. R. Torregrosa, P. Vindel
Abstr. Appl. Anal. 2014(SI32): 1-12 (2014). DOI: 10.1155/2014/141643


The dynamics of a biparametric family for solving nonlinear equations is studied on quadratic polynomials. This biparametric family includes the c-iterative methods and the well-known Chebyshev-Halley family. We find the analytical expressions for the fixed and critical points by solving 6-degree polynomials. We use the free critical points to get the parameter planes and, by observing them, we specify some values of (α, c) with clear stable and unstable behaviors.


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B. Campos. A. Cordero. Á. A. Magreñán. J. R. Torregrosa. P. Vindel. "Study of a Biparametric Family of Iterative Methods." Abstr. Appl. Anal. 2014 (SI32) 1 - 12, 2014.


Published: 2014
First available in Project Euclid: 27 February 2015

zbMATH: 07021799
MathSciNet: MR3294866
Digital Object Identifier: 10.1155/2014/141643

Rights: Copyright © 2014 Hindawi

Vol.2014 • No. SI32 • 2014
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