Study of a Biparametric Family of Iterative Methods
View/ Open
Impact
Scholar |
Other documents of the author: Campos, Beatriz; Cordero Barbero, Alicia; Magreñán Ruiz, Ángel Alberto; Torregrosa, Juan R.; Vindel, Pura
Metadata
Show full item recordcomunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
comunitat-uji-handle4:
INVESTIGACIONMetadata
Title
Study of a Biparametric Family of Iterative MethodsAuthor (s)
Date
2014-12-24Publisher
Hindawi Publishing CorporationBibliographic citation
Abstract and Applied Analysis, volume 2014 (2014)Type
info:eu-repo/semantics/articlePublisher version
http://www.hindawi.com/journals/aaa/2014/141643/Version
info:eu-repo/semantics/publishedVersionSubject
Abstract
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. [-]
Is part of
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. 1-12Rights
http://rightsstatements.org/vocab/CNE/1.0/
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
This item appears in the folowing collection(s)
- MAT_Articles [751]