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dc.contributor.authorCampos, Beatriz
dc.contributor.authorCanela, Jordi
dc.contributor.authorVindel, Pura
dc.date.accessioned2023-02-09T08:53:37Z
dc.date.available2023-02-09T08:53:37Z
dc.date.issued2022
dc.identifier.citationCampos, B., Canela, J. & Vindel, P. Dynamics of Newton-like root finding methods. Numer Algor (2022). https://doi.org/10.1007/s11075-022-01474-wca_CA
dc.identifier.urihttp://hdl.handle.net/10234/201577
dc.description.abstractWhen 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.sponsorShipFunding for open access charge: CRUE-Universitat Jaume I
dc.format.extent28 p.ca_CA
dc.format.mimetypeapplication/pdfca_CA
dc.language.isoengca_CA
dc.publisherSpringerca_CA
dc.relation.isPartOfNumerical Algorithms (2022)ca_CA
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/ca_CA
dc.subjectIterative methodsca_CA
dc.subjectNewton-like algorithmsca_CA
dc.subjectComplex dynamics of rational functionsca_CA
dc.titleDynamics of Newton-like root finding methodsca_CA
dc.typeinfo:eu-repo/semantics/articleca_CA
dc.identifier.doihttps://doi.org/10.1007/s11075-022-01474-w
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessca_CA
dc.type.versioninfo:eu-repo/semantics/publishedVersionca_CA
project.funder.nameUniversitat Jaume Ica_CA
project.funder.nameAgencia Estatal de Investigaciónca_CA
oaire.awardNumberUJI-B2019-18ca_CA
oaire.awardNumberPGC2018-095896-B-C22ca_CA
oaire.awardNumberPID2020-118281GB-C32ca_CA


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