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http://hdl.handle.net/2445/189352
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DC Field | Value | Language |
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dc.contributor.author | Garijo, Antonio | - |
dc.contributor.author | Jarque i Ribera, Xavier | - |
dc.date.accessioned | 2022-09-28T08:49:54Z | - |
dc.date.available | 2023-03-07T06:10:26Z | - |
dc.date.issued | 2022-03-07 | - |
dc.identifier.issn | 1023-6198 | - |
dc.identifier.uri | http://hdl.handle.net/2445/189352 | - |
dc.description.abstract | We investigate the root finding algorithm given by the secant method applied to a real polynomial $p$ of degree $k$ as a discrete dynamical system defined on $\mathbb R^2$. We extend the secant map to the real projective plane $\mathbb {R P}^2$. The line at infinity $\ell_{\infty}$ is invariant, and there is one (if $k$ is odd) or two (if $k$ is even) fixed points at $\ell_{\infty}$. We show that these are of saddle type, and this allows us to better understand the dynamics of the secant map near infinity. | - |
dc.format.extent | 14 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | Taylor and Francis | - |
dc.relation.isformatof | Versió postprint del document publicat a: https://doi.org/10.1080/10236198.2022.2044476 | - |
dc.relation.ispartof | Journal of Difference Equations and Applications, 2022, vol. 28, num. 10, p. 1334-1347 | - |
dc.relation.uri | https://doi.org/10.1080/10236198.2022.2044476 | - |
dc.rights | (c) Taylor and Francis, 2022 | - |
dc.source | Articles publicats en revistes (Matemàtiques i Informàtica) | - |
dc.subject.classification | Teoria de la bifurcació | - |
dc.subject.classification | Sistemes dinàmics diferenciables | - |
dc.subject.classification | Anàlisi numèrica | - |
dc.subject.other | Bifurcation theory | - |
dc.subject.other | Differentiable dynamical systems | - |
dc.subject.other | Numerical analysis | - |
dc.title | Dynamics of the Secant map near infinity | - |
dc.type | info:eu-repo/semantics/article | - |
dc.type | info:eu-repo/semantics/acceptedVersion | - |
dc.identifier.idgrec | 725146 | - |
dc.date.updated | 2022-09-28T08:49:55Z | - |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | - |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
Files in This Item:
File | Description | Size | Format | |
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725146.pdf | 632.84 kB | Adobe PDF | View/Open |
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