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A family of Ehrlich-type accelerated methods with King’s correction for the simultaneous approximation of polynomial complex zeros

2019Journal article Open access
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dc.contributor.authorMachado, Roselaine Neves
dc.contributor.authorLopes, Luiz Guerreiro
dc.date.accessioned2021-10-21T09:36:20Z
dc.date.available2021-10-21T09:36:20Z
dc.date.issued2019
dc.description.abstractIn this paper, we present a new family of accelerated iterative methods for the simultaneous approximation of simple complex zeros of a polynomial. These simultaneous methods are constructed on the basis of the third order Ehrlich iteration, accelerated by using the so-called Gauss–Seidel approach, and combined with a correction based on King’s family of optimal fourth order iterative methods for solving nonlinear equations. Using King’s correction, the R-order of convergence of the basic accelerated method is increased from at least 3 to at least 6. A numerical example is provided to illustrate the convergence and effectiveness of the proposed family of combined accelerated methods for the simultaneous approximation of simple polynomial zeros.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.citationMachado, R. N., & Lopes, L. G. (2019). A Family of Ehrlich-type Accelerated Methods with King’s Correction for the Simultaneous Approximation of Polynomial Complex Zeros. Global Journal of Pure and Applied Mathematics, 15(6), 789-802.pt_PT
dc.identifier.urihttp://hdl.handle.net/10400.13/3744
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherResearch India Publicationspt_PT
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/pt_PT
dc.subjectPolynomial zerospt_PT
dc.subjectSimultaneous iterative methodspt_PT
dc.subjectCombined methodspt_PT
dc.subjectAccelerated convergencept_PT
dc.subjectEhrlich methodpt_PT
dc.subject.pt_PT
dc.subjectFaculdade de Ciências Exatas e da Engenhariapt_PT
dc.titleA family of Ehrlich-type accelerated methods with King’s correction for the simultaneous approximation of polynomial complex zerospt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.citation.endPage802pt_PT
oaire.citation.issue6pt_PT
oaire.citation.startPage789pt_PT
oaire.citation.titleGlobal Journal of Pure and Applied Mathematicspt_PT
oaire.citation.volume15pt_PT
person.familyNameGuerreiro Lopes
person.givenNameLuiz Carlos
person.identifierB-4961-2016
person.identifier.ciencia-id4A18-1DCB-4862
person.identifier.orcid0000-0002-6145-8520
person.identifier.scopus-author-id57205501523
rcaap.rightsopenAccesspt_PT
rcaap.typearticlept_PT
relation.isAuthorOfPublicationce1b7737-282b-479c-b3a9-b7fcdae90250
relation.isAuthorOfPublication.latestForDiscoveryce1b7737-282b-479c-b3a9-b7fcdae90250

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