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Newton method for symmetric quartic polynomial

dc.contributor.authorCampos, Beatriz
dc.contributor.authorGarijo, Antonio
dc.contributor.authorJarque, Xavier
dc.contributor.authorVindel, Pura
dc.date.accessioned2016-07-27T09:09:18Z
dc.date.available2016-07-27T09:09:18Z
dc.date.issued2016-11
dc.identifier.citationCAMPOS, Beatriz, et al. Newton method for symmetric quartic polynomial. Applied Mathematics and Computation, 2016, vol. 290, p. 326-335.ca_CA
dc.identifier.urihttp://hdl.handle.net/10234/161960
dc.description.abstractWe investigate the parameter plane of the Newton’s method applied to the family of quartic polynomials pa,b(z)=z4+az3+bz2+az+1,pa,b(z)=z4+az3+bz2+az+1, where a and b are real parameters. We divide the parameter plane (a,b)∈R2(a,b)∈R2 into twelve open and connected regions where p, p′ and p′′ have simple roots. In each of these regions we focus on the study of the Newton’s operator acting on the Riemann sphere.ca_CA
dc.description.sponsorShipThe authors would like to thank N. Fagella and J. Canela for their useful comments during the preparation of this manuscript. The third author is partially supported by the Polish NCN grant decision DEC-2012/06/M/ST1/00168. The second and third authors are supported by the Spanish project MTM2014-52209-C2-2-P and the Catalan project CIRIT 2014-SGR555.The first and the last authors are supported by the Spanish project MTM2014-52016-C02-2-P and UJI project P1.1B20115-16.ca_CA
dc.format.extent9 p.ca_CA
dc.format.mimetypeapplication/pdfca_CA
dc.language.isoengca_CA
dc.publisherElsevierca_CA
dc.relation.isPartOfApplied Mathematics and Computation Volume 290, November 2016ca_CA
dc.rights© 2016 Elsevier Inc. All rights reservedca_CA
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/*
dc.subjectNewton’s methodca_CA
dc.subjectholomorphic dynamicsca_CA
dc.subjectJulia and Fatou setsca_CA
dc.titleNewton method for symmetric quartic polynomialca_CA
dc.typeinfo:eu-repo/semantics/articleca_CA
dc.identifier.doihttp://dx.doi.org/10.1016/j.amc.2016.06.021
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessca_CA
dc.relation.publisherVersionhttp://www.sciencedirect.com/science/article/pii/S0096300316303927ca_CA
dc.type.versioninfo:eu-repo/semantics/sumittedVersion


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