dc.contributor.author |
Cordero Barbero, Alicia
|
es_ES |
dc.contributor.author |
Lotfi, Taher
|
es_ES |
dc.contributor.author |
Mahdiani, Katayoun
|
es_ES |
dc.contributor.author |
Torregrosa Sánchez, Juan Ramón
|
es_ES |
dc.date.accessioned |
2016-05-25T10:36:21Z |
|
dc.date.available |
2016-05-25T10:36:21Z |
|
dc.date.issued |
2015-03-01 |
|
dc.identifier.issn |
0096-3003 |
|
dc.identifier.uri |
http://hdl.handle.net/10251/64694 |
|
dc.description.abstract |
[EN] Recently, Li et al. (2014) have published a new family of iterative methods, without memory,
with order of convergence five or six, which are not optimal in the sense of Kung and
Traub’s conjecture. Therefore, we attempt to modify this suggested family in such a way
that it becomes optimal. To this end, we consider the same two first steps of the mentioned
family, and furthermore, we introduce a better approximation for f
0
ðzÞ in the third step
based on interpolation idea as opposed to the Taylor’s series used in the work of Li et al.
Theoretical, dynamical and numerical aspects of the new family are described and investigated
in details. |
es_ES |
dc.description.sponsorship |
This research was supported by Islamic Azad University, Hamedan Branch and Ministerio de Ciencia y Tecnología MTM2011-28636-C02-02. |
|
dc.language |
Inglés |
es_ES |
dc.publisher |
Elsevier |
es_ES |
dc.relation.ispartof |
Applied Mathematics and Computation |
es_ES |
dc.rights |
Reserva de todos los derechos |
es_ES |
dc.subject |
Nonlinear equations |
es_ES |
dc.subject |
Optimal iterative methods |
es_ES |
dc.subject |
Efficiency index |
es_ES |
dc.subject |
Parameter space |
es_ES |
dc.subject |
Basin of attraction |
es_ES |
dc.subject |
Stability |
es_ES |
dc.subject.classification |
MATEMATICA APLICADA |
es_ES |
dc.title |
A stable family with high order of convergence for solving nonlinear equations |
es_ES |
dc.type |
Artículo |
es_ES |
dc.identifier.doi |
10.1016/j.amc.2014.12.141 |
|
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 |
Abierto |
es_ES |
dc.contributor.affiliation |
Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada |
es_ES |
dc.description.bibliographicCitation |
Cordero Barbero, A.; Lotfi, T.; Mahdiani, K.; Torregrosa Sánchez, JR. (2015). A stable family with high order of convergence for solving nonlinear equations. Applied Mathematics and Computation. 254:240-251. https://doi.org/10.1016/j.amc.2014.12.141 |
es_ES |
dc.description.accrualMethod |
S |
es_ES |
dc.relation.publisherversion |
http://dx.doi.org/10.1016/j.amc.2014.12.141 |
es_ES |
dc.description.upvformatpinicio |
240 |
es_ES |
dc.description.upvformatpfin |
251 |
es_ES |
dc.type.version |
info:eu-repo/semantics/publishedVersion |
es_ES |
dc.description.volume |
254 |
es_ES |
dc.relation.senia |
289902 |
es_ES |
dc.identifier.eissn |
1873-5649 |
|
dc.contributor.funder |
Ministerio de Ciencia e Innovación |
|