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Study of a Biparametric Family of Iterative Methods
dc.contributor.author | Campos, Beatriz | |
dc.contributor.author | Cordero Barbero, Alicia | |
dc.contributor.author | Magreñán Ruiz, Ángel Alberto | |
dc.contributor.author | Torregrosa, Juan R. | |
dc.contributor.author | Vindel, Pura | |
dc.date.accessioned | 2015-05-11T11:52:33Z | |
dc.date.available | 2015-05-11T11:52:33Z | |
dc.date.issued | 2014-12-24 | |
dc.identifier.citation | Abstract and Applied Analysis, volume 2014 (2014) | ca_CA |
dc.identifier.uri | http://hdl.handle.net/10234/119965 | |
dc.description.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 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. | ca_CA |
dc.format.extent | 12 p. | ca_CA |
dc.format.mimetype | application/pdf | ca_CA |
dc.language.iso | eng | ca_CA |
dc.publisher | Hindawi Publishing Corporation | ca_CA |
dc.relation.isPartOf | 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. 1-12 | ca_CA |
dc.rights.uri | http://rightsstatements.org/vocab/CNE/1.0/ | * |
dc.subject | Biparametric family | ca_CA |
dc.subject | Nonlinear equations | ca_CA |
dc.subject | Quadratic polynomials | ca_CA |
dc.subject | 𝑐���-iterative methods | ca_CA |
dc.subject | Chebyshev-Halley family | ca_CA |
dc.title | Study of a Biparametric Family of Iterative Methods | ca_CA |
dc.type | info:eu-repo/semantics/article | ca_CA |
dc.identifier.doi | http://dx.doi.org/10.1155/2014/141643 | |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | ca_CA |
dc.relation.publisherVersion | http://www.hindawi.com/journals/aaa/2014/141643/ | ca_CA |
dc.type.version | info:eu-repo/semantics/publishedVersion |
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