Show simple item record

Convergence of Newton’s method under the gamma condition

dc.creatorArgyros, Ioannis K.
dc.date2017-05-08
dc.identifierhttps://www.revistaproyecciones.cl/index.php/proyecciones/article/view/1538
dc.identifier10.4067/S0716-09172006000300006
dc.descriptionWe provide a semilocal as well as a local convergence analysis of Newton’s method using the gamma condition [1], [10], [11]. Using more precise majorizing sequences than before [4], [8]—[11] and under at least as weak hypotheses, we provide in the semilocal case: finer error bounds on the distances involved and an at least as precise information on the location of the solution; in the local case: a larger radius of convergence.es-ES
dc.formatapplication/pdf
dc.languagespa
dc.publisherUniversidad Católica del Norte.en-US
dc.relationhttps://www.revistaproyecciones.cl/index.php/proyecciones/article/view/1538/2393
dc.rightsCopyright (c) 2006 Proyecciones. Journal of Mathematicsen-US
dc.sourceProyecciones (Antofagasta, On line); Vol. 25 No. 3 (2006); 293-306en-US
dc.sourceProyecciones. Revista de Matemática; Vol. 25 Núm. 3 (2006); 293-306es-ES
dc.source0717-6279
dc.subjectBanach spacees-ES
dc.subjectNewton’s methodes-ES
dc.subjectlocal/semilocal convergencees-ES
dc.subjectNewton—Kantorovich theoremes-ES
dc.subjectFrechet derivativees-ES
dc.subjectmajorizing sequencees-ES
dc.subjectradius of convergencees-ES
dc.subjectgamma conditiones-ES
dc.subjectanalytic operatores-ES
dc.subjectespacio de Banaches-ES
dc.subjectmétodo de Newtones-ES
dc.subjectconvergencia local/semilocal.es-ES
dc.titleConvergence of Newton’s method under the gamma conditiones-ES
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion
dc.typePeer-reviewed Articleen-US


This item appears in the following Collection(s)

Show simple item record