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A study of optimization for Steffensen-type methods with frozen divided differences
dc.contributor.author | Ezquerro, José Antonio |
dc.contributor.author | Grau Sánchez, Miguel |
dc.contributor.author | Hernández Verón, Miguel Àngel |
dc.contributor.author | Noguera Batlle, Miquel |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtiques |
dc.date.accessioned | 2015-12-17T14:17:38Z |
dc.date.available | 2017-10-31T01:30:32Z |
dc.date.issued | 2015-10-16 |
dc.identifier.citation | Ezquerro, J.A., Grau, M., Hernández-Verón, M. A., Noguera, M. A study of optimization for Steffensen-type methods with frozen divided differences. "SeMA Journal", 16 Octubre 2015, vol. 70, núm. 1, p. 23-46. |
dc.identifier.issn | 2254-3902 |
dc.identifier.uri | http://hdl.handle.net/2117/80872 |
dc.description.abstract | A local convergence analysis for a generalization of a family of Ste ensen-type iterative methods with three frozen steps is presented for solving nonlinear equations. From the use of three classical divided di erence operators, we study four families of iterative methods with optimal local order of convergence. Then, new variants of the family of iterative methods is constructed, where a study of the computational e ciency is carried out. Moreover, the semilocal convergence for these families is also studied. Finally, an application of nonlinear integral equations of mixed Hammerstein type is presented, where multiple precision and a stopping criterion are implemented without using any known root. In addition, a study, where we compare orders, e ciencies and elapsed times of the methods suggested, supports the theoretical results obtained. |
dc.format.extent | 24 p. |
dc.language.iso | eng |
dc.publisher | Springer |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes numèrics |
dc.subject.lcsh | Numerical methods and algorithms |
dc.subject.other | Divided difference |
dc.subject.other | order of convergence |
dc.subject.other | efficiency |
dc.subject.other | system of nonlinear equations |
dc.subject.other | iterative methods. |
dc.title | A study of optimization for Steffensen-type methods with frozen divided differences |
dc.type | Article |
dc.subject.lemac | Anàlisi numèrica |
dc.identifier.doi | 10.1007/s40324-015-0040-2 |
dc.description.peerreviewed | Peer Reviewed |
dc.subject.ams | Classificació AMS::65 Numerical analysis::65H Nonlinear algebraic or transcendental equations |
dc.rights.access | Open Access |
local.identifier.drac | 16991173 |
dc.description.version | Postprint (author's final draft) |
local.citation.author | Ezquerro, J.A.; Grau, M.; Hernández-Verón, M. A.; Noguera, M. |
local.citation.publicationName | SeMA Journal |
local.citation.volume | 70 |
local.citation.number | 1 |
local.citation.startingPage | 23 |
local.citation.endingPage | 46 |
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