dc.creator | Argyros, Ioannis K | |
dc.creator | Magreñán, Á. Alberto (1) | |
dc.date.accessioned | 2017-08-07T14:10:12Z | |
dc.date.accessioned | 2023-03-07T19:13:17Z | |
dc.date.available | 2017-08-07T14:10:12Z | |
dc.date.available | 2023-03-07T19:13:17Z | |
dc.date.created | 2017-08-07T14:10:12Z | |
dc.identifier | 1873-5649 | |
dc.identifier | https://reunir.unir.net/handle/123456789/5331 | |
dc.identifier | https://doi.org/10.1016/j.amc.2016.07.012 | |
dc.identifier.uri | https://repositorioslatinoamericanos.uchile.cl/handle/2250/5900110 | |
dc.description.abstract | We present a local as well a semilocal convergence analysis for Newton's method in a Banach space setting. Using the same Lipschitz constants as in earlier studies, we extend the applicability of Newton's method as follows: local case: a larger radius is given as well as more precise error estimates on the distances involved. Semilocal case: the convergence domain is extended; the error estimates are tighter and the information on the location of the solution is at least as precise as before. Numerical examples further justify the theoretical results. | |
dc.language | eng | |
dc.publisher | Applied Mathematics and Computation | |
dc.relation | ;vol. 292 | |
dc.relation | http://www.sciencedirect.com/science/article/pii/S0096300316304428?via%3Dihub | |
dc.rights | closedAccess | |
dc.subject | Newton’s method | |
dc.subject | banach space | |
dc.subject | local/semilocal convergence | |
dc.subject | Kantorovich hypothesis | |
dc.subject | JCR | |
dc.subject | Scopus | |
dc.title | Extending the applicability of the local and semilocal convergence of Newton's method | |
dc.type | Articulo Revista Indexada | |