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Dynamics of Newton-like root finding methods
dc.contributor.author | Campos, Beatriz | |
dc.contributor.author | Canela, Jordi | |
dc.contributor.author | Vindel, Pura | |
dc.date.accessioned | 2023-02-09T08:53:37Z | |
dc.date.available | 2023-02-09T08:53:37Z | |
dc.date.issued | 2022 | |
dc.identifier.citation | Campos, B., Canela, J. & Vindel, P. Dynamics of Newton-like root finding methods. Numer Algor (2022). https://doi.org/10.1007/s11075-022-01474-w | ca_CA |
dc.identifier.uri | http://hdl.handle.net/10234/201577 | |
dc.description.abstract | When exploring the literature, it can be observed that the operator obtained when applying Newton-like root finding algorithms to the quadratic polynomials z2 − c has the same form regardless of which algorithm has been used. In this paper, we justify why this expression is obtained. This is done by studying the symmetries of the operators obtained after applying Newton-like algorithms to a family of degree d polynomials p(z) = zd −c. Moreover, we provide an iterative procedure to obtain the expression of new Newton-like algorithms. We also carry out a dynamical study of the given generic operator and provide general conclusions of this type of methods. | ca_CA |
dc.description.sponsorShip | Funding for open access charge: CRUE-Universitat Jaume I | |
dc.format.extent | 28 p. | ca_CA |
dc.format.mimetype | application/pdf | ca_CA |
dc.language.iso | eng | ca_CA |
dc.publisher | Springer | ca_CA |
dc.relation.isPartOf | Numerical Algorithms (2022) | ca_CA |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | ca_CA |
dc.subject | Iterative methods | ca_CA |
dc.subject | Newton-like algorithms | ca_CA |
dc.subject | Complex dynamics of rational functions | ca_CA |
dc.title | Dynamics of Newton-like root finding methods | ca_CA |
dc.type | info:eu-repo/semantics/article | ca_CA |
dc.identifier.doi | https://doi.org/10.1007/s11075-022-01474-w | |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | ca_CA |
dc.type.version | info:eu-repo/semantics/publishedVersion | ca_CA |
project.funder.name | Universitat Jaume I | ca_CA |
project.funder.name | Agencia Estatal de Investigación | ca_CA |
oaire.awardNumber | UJI-B2019-18 | ca_CA |
oaire.awardNumber | PGC2018-095896-B-C22 | ca_CA |
oaire.awardNumber | PID2020-118281GB-C32 | ca_CA |
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