Study of a Biparametric Family of Iterative Methods
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Otros documentos de la autoría: Campos, Beatriz; Cordero Barbero, Alicia; Magreñán Ruiz, Ángel Alberto; Torregrosa, Juan R.; Vindel, Pura
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Mostrar el registro completo del ítemcomunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
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Título
Study of a Biparametric Family of Iterative MethodsAutoría
Fecha de publicación
2014-12-24Editor
Hindawi Publishing CorporationCita bibliográfica
Abstract and Applied Analysis, volume 2014 (2014)Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
http://www.hindawi.com/journals/aaa/2014/141643/Versión
info:eu-repo/semantics/publishedVersionPalabras clave / Materias
Resumen
Thedynamics 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 ... [+]
Thedynamics 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. [-]
Publicado en
CAMPOS, B.; CORDERO, A.; MAGREÑÁN, A. A.; TORREGROSA, J. R.; VINDEL, P. Study of a Biparametric Family of Iterative Methods. Abstract and Applied Analysis, volume 2014 (2014), p. 1-12Derechos de acceso
http://rightsstatements.org/vocab/CNE/1.0/
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
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