CONVERGENCE OF NEWTON'S METHOD UNDER THE GAMMA CONDITION

dc.creatorARGYROS,IOANNIS K
dc.date2006-12-01
dc.date.accessioned2017-03-07T15:46:41Z
dc.date.available2017-03-07T15:46:41Z
dc.identifierhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172006000300006
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/390721
dc.descriptionWe provide a semilocal as well as a local convergence analysis ofNewton's method using the gamma condition [1], [10], [11]. Usingmore precise majorizing sequences than before [4], [8]-[11] and underat least as weak hypotheses, we provide in the semilocal case: finererror bounds on the distances involved and an at least as precise informationon the location of the solution; in the local case: a largerradius of convergence
dc.formattext/html
dc.languageen
dc.publisherUniversidad Católica del Norte, Departamento de Matemáticas
dc.sourceProyecciones (Antofagasta) v.25 n.3 2006
dc.subjectBanach space
dc.subjectNewton's method
dc.subjectlocal/semilocalconvergence
dc.subjectNewton-Kantorovich theorem
dc.subjectFréchet derivative
dc.subjectmajorizingsequence
dc.subjectradius of convergence
dc.subjectgamma condition
dc.subjectanalyticoperator
dc.titleCONVERGENCE OF NEWTON'S METHOD UNDER THE GAMMA CONDITION
dc.typeArtículos de revistas


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