Study of a Biparametric Family of Iterative Methods

B. Campos, A. Cordero, Á. A. Magreñán, J. R. Torregrosa and P. Vindel

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: 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.

Date: 2014
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https://doi.org/10.1155/2014/141643

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:141643

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