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DC Field | Value | Language |
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dc.contributor.author | Campos, Beatriz | - |
dc.contributor.author | Canela Sánchez, Jordi | - |
dc.contributor.author | Vindel, Pura | - |
dc.date.accessioned | 2020-05-08T10:59:04Z | - |
dc.date.available | 2020-12-31T06:10:22Z | - |
dc.date.issued | 2018 | - |
dc.identifier.issn | 1007-5704 | - |
dc.identifier.uri | http://hdl.handle.net/2445/159358 | - |
dc.description.abstract | In this paper we study the dynamical behavior of the Chebyshev-Halley methods on the family of degree $n$ polynomials $z^{n}+c$. We prove that, despite increasing the degree, it is still possible to draw the parameter space by using the orbit of a single critical point. For the methods having $z=\infty $ as an attracting fixed point, we show how the basins of attraction of the roots become smaller as the value of $n$ grows. We also demonstrate that, although the convergence order of the Chebyshev-Halley family is 3, there is a member of order 4 for each value of $n$. In the case of quadratic polynomials, we bound the set of parameters which correspond to iterative methods with stable behaviour other than the basins of attraction of the roots. | - |
dc.format.extent | 18 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | Elsevier B.V. | - |
dc.relation.isformatof | Versió postprint del document publicat a: https://doi.org/10.1016/j.cnsns.2017.08.024 | - |
dc.relation.ispartof | Communications In Nonlinear Science And Numerical Simulation, 2018, vol. 56, p. 508-525 | - |
dc.relation.uri | https://doi.org/10.1016/j.cnsns.2017.08.024 | - |
dc.rights | cc-by-nc-nd (c) Elsevier B.V., 2018 | - |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es | - |
dc.source | Articles publicats en revistes (Matemàtiques i Informàtica) | - |
dc.subject.classification | Sistemes de Chebyshev | - |
dc.subject.classification | Polinomis | - |
dc.subject.other | Chebyshev systems | - |
dc.subject.other | Polynomials | - |
dc.title | Convergence regions for the Chebyshev-Halley family | - |
dc.type | info:eu-repo/semantics/article | - |
dc.type | info:eu-repo/semantics/acceptedVersion | - |
dc.identifier.idgrec | 673448 | - |
dc.date.updated | 2020-05-08T10:59:04Z | - |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | - |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
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File | Description | Size | Format | |
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673448.pdf | 4.81 MB | Adobe PDF | View/Open |
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