On a sixth-order Jarratt-type method in Banach spaces
| dc.contributor.author | Argyros, I.K. | |
| dc.contributor.author | George, S. | |
| dc.date.accessioned | 2020-03-31T08:39:03Z | |
| dc.date.available | 2020-03-31T08:39:03Z | |
| dc.date.issued | 2015 | |
| dc.description.abstract | We present a local convergence analysis of a sixth-order Jarratt-type method in order to approximate a solution of a nonlinear equation in a Banach space. Our sufficient convergence conditions involve only hypotheses on the first Fr chet-derivative of the operator involved. Earlier studies such as [X. Wang, J. Kou and C. Gu, Semilocal convergence of a sixth-order Jarratt method in Banach spaces, Numer. Algorithms 57 (2011) 441-456.] require hypotheses up to the third Fr chet-derivative. Numerical examples are also provided in this study. 2015 World Scientific Publishing Company. | en_US |
| dc.identifier.citation | Asian-European Journal of Mathematics, 2015, Vol.8, 4, pp.- | en_US |
| dc.identifier.uri | https://idr.nitk.ac.in/handle/123456789/12348 | |
| dc.title | On a sixth-order Jarratt-type method in Banach spaces | en_US |
| dc.type | Article | en_US |