Behaviour of fixed and critical points of the (α, c) −family of iterative methods
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Altres documents de l'autoria: 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 methodsData de publicació
2015-01Editor
Springer VerlagTipus de document
info:eu-repo/semantics/articleVersió
info:eu-repo/semantics/acceptedVersionParaules clau / Matèries
Resum
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. [-]
Publicat a
J Math Chem (2015) 53:807–827Drets d'accés
© Springer International Publishing Switzerland 2014
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