Please use this identifier to cite or link to this item:
http://hdl.handle.net/2445/150446
Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Garijo Real, Antonio | - |
dc.contributor.author | Jarque i Ribera, Xavier | - |
dc.date.accessioned | 2020-02-17T12:05:38Z | - |
dc.date.available | 2020-10-14T05:10:23Z | - |
dc.date.issued | 2019-10-14 | - |
dc.identifier.issn | 0951-7715 | - |
dc.identifier.uri | http://hdl.handle.net/2445/150446 | - |
dc.description.abstract | We investigate the root finding algorithm given by the secant method applied to a real polynomial $p$ as a discrete dynamical system defined on $\mathbb{R}^{2}$ . We study the shape and distribution of the basins of attraction associated to the roots of p , and we also show the existence of other stable dynamics that might affect the efficiency of the algorithm. Finally we extend the secant map to the punctured torus $\mathbb{T}_{\infty}^{2}$ which allow us to better understand the dynamics of the secant method near $\infty$ and facilitate the use of the secant map as a method to find all roots of a polynomial. | - |
dc.format.extent | 22 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | IOP Publishing | - |
dc.relation.isformatof | Versió postprint del document publicat a: https://doi.org/10.1088/1361-6544/ab2f55 | - |
dc.relation.ispartof | Nonlinearity, 2019, vol. 32, num. 11, p. 4557-4578 | - |
dc.relation.uri | https://doi.org/10.1088/1361-6544/ab2f55 | - |
dc.rights | (c) IOP Publishing & London Mathematical Society , 2019 | - |
dc.source | Articles publicats en revistes (Matemàtiques i Informàtica) | - |
dc.subject.classification | Teoria de la bifurcació | - |
dc.subject.classification | Funcions de diverses variables complexes | - |
dc.subject.other | Bifurcation theory | - |
dc.subject.other | Functions of several complex variables | - |
dc.title | Global dynamics of the real secant method | - |
dc.type | info:eu-repo/semantics/article | - |
dc.type | info:eu-repo/semantics/acceptedVersion | - |
dc.identifier.idgrec | 695992 | - |
dc.date.updated | 2020-02-17T12:05:38Z | - |
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 | |
---|---|---|---|---|
695992.pdf | 1.01 MB | Adobe PDF | View/Open |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.