Behaviour of fixed and critical points of the (α, c) −family of iterative methods
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Otros documentos de la autoría: Campos, Beatriz; Cordero Barbero, Alicia; Torregrosa, Juan R.; Vindel, Pura
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Behaviour of fixed and critical points of the (α, c) −family of iterative methodsFecha de publicación
2015-01Editor
Springer VerlagTipo de documento
info:eu-repo/semantics/articleVersión
info:eu-repo/semantics/acceptedVersionPalabras clave / Materias
Resumen
In this paper we study the dynamical behavior of the
(α,
c
)
-family of itera-
tive methods for solving nonlinear equations, when we apply the fixed point operator
associated to this family on quadratic polyno ... [+]
In this paper we study the dynamical behavior of the
(α,
c
)
-family of itera-
tive methods for solving nonlinear equations, when we apply the fixed point operator
associated to this family on quadratic polynomials. This is a family of third-order iter-
ative root-finding methods depending on two parameters; so, as we show throughout
this paper, its dynamics is really interesting, but complicated. In fact, we have found
in the real
(α,
c
)
-plane a line in which the corresponding elements of the family have
a lower number of free critical points. As this number is directly related with the
quantity of basins of attraction, it is probable to find more stable behavior between the
elements of the family in this region. [-]
Publicado en
J Math Chem (2015) 53:807–827Derechos de acceso
© Springer International Publishing Switzerland 2014
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