Mostra el registre d'ítem simple

A family of iterative methods that uses divided differences of first and second orders

dc.contributor.authorEzquerro, José Antonio
dc.contributor.authorGrau Sánchez, Miguel
dc.contributor.authorHernández Verón, Miguel Angel
dc.contributor.authorNoguera Batlle, Miquel
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtiques
dc.date.accessioned2015-12-17T14:23:29Z
dc.date.available2017-11-30T01:30:34Z
dc.date.issued2015-11-01
dc.identifier.citationEzquerro, J.A., Grau, M., Hernández-Verón, M.A., Noguera, M. A family of iterative methods that uses divided differences of first and second orders. "Numerical algorithms", 01 Novembre 2015, vol. 70, núm. 3, p. 571-589.
dc.identifier.issn1017-1398
dc.identifier.urihttp://hdl.handle.net/2117/80873
dc.description.abstractThe family of fourth-order Steffensen-type methods proposed by Zheng et al. (Appl. Math. Comput. 217, 9592-9597 (2011)) is extended to solve systems of nonlinear equations. This extension uses multidimensional divided differences of first and second orders. For a certain computational efficiency index, two optimal methods are identified in the family. Semilocal convergence is shown for one of these optimal methods under mild conditions. Moreover, a numerical example is given to illustrate the theoretical results.
dc.format.extent19 p.
dc.language.isoeng
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes numèrics
dc.subject.lcshNumerical methods and algorithms
dc.subject.otherNonlinear equations
dc.subject.otherIterative methods
dc.subject.otherDivided difference
dc.subject.otherOrder of convergence
dc.subject.otherEfficiency
dc.subject.otherNONLINEAR EQUATIONS
dc.subject.otherSOLVING SYSTEMS
dc.subject.otherSECANT METHOD
dc.subject.otherCONVERGENCE
dc.titleA family of iterative methods that uses divided differences of first and second orders
dc.typeArticle
dc.subject.lemacAnàlisi numèrica
dc.identifier.doi10.1007/s11075-015-9962-0
dc.description.peerreviewedPeer Reviewed
dc.subject.amsClassificació AMS::65 Numerical analysis::65H Nonlinear algebraic or transcendental equations
dc.rights.accessOpen Access
local.identifier.drac17003589
dc.description.versionPostprint (author's final draft)
local.citation.authorEzquerro, J.A.; Grau, M.; Hernández-Verón, M.A.; Noguera, M.
local.citation.publicationNameNumerical algorithms
local.citation.volume70
local.citation.number3
local.citation.startingPage571
local.citation.endingPage589


Fitxers d'aquest items

Thumbnail
Nom:
Dif-Div_ZLH19.pdf
Mida:
326,2Kb
Format:
PDF
Visualitza/Obre

Aquest ítem apareix a les col·leccions següents

Mostra el registre d'ítem simple