Semilocal convergence of a family of iterative methods in Banach spaces
| dc.contributor.affiliation | Escuela Técnica Superior de Ingeniería de Telecomunicación | |
| dc.contributor.affiliation | Departamento de Matemática Aplicada | |
| dc.contributor.affiliation | Instituto Universitario de Matemática Multidisciplinar | |
| dc.contributor.author | Hueso Pagoaga, José Luís | es_ES |
| dc.contributor.author | Martínez Molada, Eulalia | |
| dc.contributor.funder | Universitat Politècnica de València | es_ES |
| dc.contributor.funder | Ministerio de Ciencia e Innovación | es_ES |
| dc.date.accessioned | 2018-03-26T04:07:09Z | |
| dc.date.available | 2018-03-26T04:07:09Z | |
| dc.date.issued | 2014 | es_ES |
| dc.description.abstract | [EN] In this work, we prove a third and fourth convergence order result for a family of iterative methods for solving nonlinear systems in Banach spaces. We analyze the semilocal convergence by using recurrence relations, giving the existence and uniqueness theorem that establishes the R-order of the method and the priori error bounds. Finally, we apply the methods to two examples in order to illustrate the presented theory. | en_EN |
| dc.description.accrualMethod | S | es_ES |
| dc.description.bibliographicCitation | Hueso Pagoaga, JL.; Martínez Molada, E. (2014). Semilocal convergence of a family of iterative methods in Banach spaces. Numerical Algorithms. 67(2):365-384. https://doi.org/10.1007/s11075-013-9795-7 | es_ES |
| dc.description.issue | 2 | es_ES |
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| dc.description.sponsorship | This work has been supported by Ministerio de Ciencia e Innovaci´on MTM2011-28636-C02-02 and by Vicerrectorado de Investigaci´on. Universitat Polit`ecnica de Val`encia PAID-SP-2012-0498 | |
| dc.description.upvformatpfin | 384 | es_ES |
| dc.description.upvformatpinicio | 365 | es_ES |
| dc.description.volume | 67 | es_ES |
| dc.identifier.doi | 10.1007/s11075-013-9795-7 | es_ES |
| dc.identifier.issn | 1017-1398 | es_ES |
| dc.identifier.uri | https://riunet.upv.es/handle/10251/99723 | |
| dc.language | Inglés | es_ES |
| dc.publisher | Springer-Verlag | es_ES |
| dc.relation.ispartof | Numerical Algorithms | es_ES |
| dc.relation.pasarela | S\281819 | es_ES |
| dc.relation.projectID | info:eu-repo/grantAgreement/MICINN//MTM2011-28636-C02-02/ES/DISEÑO Y ANALISIS DE METODOS EFICIENTES DE RESOLUCION DE ECUACIONES Y SISTEMAS NO LINEALES/ | es_ES |
| dc.relation.projectID | info:eu-repo/grantAgreement/UPV//SP20120498/ | es_ES |
| dc.relation.publisherversion | http://doi.org/10.1007/s11075-013-9795-7 | es_ES |
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| dc.rights | Reserva de todos los derechos | es_ES |
| dc.rights.accessRights | Abierto | es_ES |
| dc.subject | Nonlinear systems | es_ES |
| dc.subject | Iterative method | es_ES |
| dc.subject | Banach space | es_ES |
| dc.subject | Recurrence relations | es_ES |
| dc.subject | Semilocal convergence | es_ES |
| dc.subject | R-order | es_ES |
| dc.subject.classification | MATEMATICA APLICADA | es_ES |
| dc.title | Semilocal convergence of a family of iterative methods in Banach spaces | es_ES |
| dc.type | Artículo | es_ES |
| dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
| dspace.entity.type | Publication | |
| person.identifier | 11484 | |
| person.identifier.orcid | 0000-0003-2869-4334 | |
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| upv.uuid | 4e91d169-69df-4b6b-9773-e9ec47b69bca | es_ES |
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