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dc.contributor.author | Hernandez Verón, Miguel Angel | es_ES |
dc.contributor.author | Martínez Molada, Eulalia | es_ES |
dc.date.accessioned | 2016-07-15T10:07:26Z | |
dc.date.available | 2016-07-15T10:07:26Z | |
dc.date.issued | 2015-10 | |
dc.identifier.issn | 1017-1398 | |
dc.identifier.uri | http://hdl.handle.net/10251/67651 | |
dc.description.abstract | [EN] In this paper the semilocal convergence for an alternative to the three steps Newton's method with frozen derivative is presented. We analyze the generalization of convergence conditions given by w-conditioned non-decreasing functions instead of the first derivative Lipschitz or Holder continuous given by other authors. A nonlinear integral equation of mixed Hammerstein type is considered for illustrating the new theoretical results obtained in this paper, where previous results can not be satisfied. | es_ES |
dc.description.sponsorship | This work was supported in part by the project MTM2011-28636-C02-01-{01,02} of the Spanish Ministry of Science and Innovation. | en_EN |
dc.language | Inglés | es_ES |
dc.publisher | Springer Verlag (Germany) | es_ES |
dc.relation.ispartof | Numerical Algorithms | es_ES |
dc.rights | Reserva de todos los derechos | es_ES |
dc.subject | Iterative methods | es_ES |
dc.subject | Nonlinear equations | es_ES |
dc.subject | Semilocal convergence | es_ES |
dc.subject | Mild convergence conditions. | es_ES |
dc.subject | Order of convergence | es_ES |
dc.subject | Hammerstein equation | es_ES |
dc.subject.classification | MATEMATICA APLICADA | es_ES |
dc.title | On the semilocal convergence of a three steps Newton-type iterative process under mild convergence conditions | es_ES |
dc.type | Artículo | es_ES |
dc.identifier.doi | 10.1007/s11075-014-9952-7 | |
dc.relation.projectID | info:eu-repo/grantAgreement/MICINN//MTM2011-28636-C02-01/ES/PROCESOS ITERATIVOS PARA RESOLVER ECUACIONES NO LINEALES: CONSTRUCCION, CONVERGENCIA, EFICIENCIA, ANALISIS DINAMICO Y APLICACIONES/ | 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.rights.accessRights | Cerrado | es_ES |
dc.contributor.affiliation | Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada | es_ES |
dc.description.bibliographicCitation | Hernandez Verón, MA.; Martínez Molada, E. (2015). On the semilocal convergence of a three steps Newton-type iterative process under mild convergence conditions. Numerical Algorithms. 70(2):377-392. doi:10.1007/s11075-014-9952-7 | es_ES |
dc.description.accrualMethod | S | es_ES |
dc.relation.publisherversion | https://dx.doi.org/10.1007/s11075-014-9952-7 | es_ES |
dc.description.upvformatpinicio | 377 | es_ES |
dc.description.upvformatpfin | 392 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 70 | es_ES |
dc.description.issue | 2 | es_ES |
dc.relation.senia | 295461 | es_ES |
dc.identifier.eissn | 1572-9265 | |
dc.contributor.funder | Ministerio de Ciencia e Innovación | es_ES |
dc.description.references | Amat, S., Busquier, S., Bermúdez, C., Plaza, S.: On two families of high order Newton type methods. Appl. Math. Comput. 25, 2209–2217 (2012) | es_ES |
dc.description.references | Argyros, I.K.: The Newton-Kantorovich method under mild differentiability conditions and the Pták error estimates. Monatsh. Math. 101, 175–193 (1990) | es_ES |
dc.description.references | Argyros, I.K.: Remarks on the convergence of Newton’s method under Hölder continuity conditions. Tamkang J. Math. 23(4), 269–277 (1992) | es_ES |
dc.description.references | Bruns, D.D., Bailey, J.E.: Nonlinear feedback control for operating a nonisothermal CSTR near an unstable steady state. Chem. Eng. Sci. 32, 257–264 (1977) | es_ES |
dc.description.references | Ezquerro, J.A., Hernández, M.A.: Generalized differentiability conditions for Newton’s method. IMA J. Numer. Anal. 22(2), 187–205 (2002) | es_ES |
dc.description.references | Ganesh, M., Joshi, M.C.: Numerical solvability of Hammerstein integral equations of mixed type. IMA J. Numer. Anal. 11, 21–31 (1991) | es_ES |
dc.description.references | Hueso, J.L., Martínez, E., Torregrosa, J.R.: Third and fourth order iterative methods free from second derivative for nonlinear systems. Appl. Math. Comput. 211, 190–197 (2009) | es_ES |
dc.description.references | Hueso, J.L., Martínez, E.: Semilocal convergence of a family of iterative methods in Banach spaces. Numer. Algor. In Press. doi: 10.1007/s11075-013-9795-7 | es_ES |
dc.description.references | Kantorovich, L.V., Akilov, G.P.: Functional analysis. Pergamon Press, Oxford (1982) | es_ES |
dc.description.references | Ostrowski, A.M.: Solutions of equations and system of equations. Academic Press, New York (1960) | es_ES |
dc.description.references | Traub, J.F.: Iterative methods for the solution of equations. Prentice-Hall, Englewood Cliffs (1964) | es_ES |
dc.description.references | Yamamoto, T.: A method for finding sharp error bounds for Newton’s method under the Kantorovich assumptions. Numer. Math. 49, 203–220 (1986) | es_ES |