Journal Articles
Permanent URI for this collectionhttps://idr.nitk.ac.in/handle/123456789/19884
Browse
1 results
Search Results
Item Local convergence of a novel eighth order method under hypotheses only on the first derivative(Tusi Mathematical Research Group (TMRG) moslehian@memeber.ams.org, 2019) Argyros, I.K.; George, S.; Erappa, S.M.We expand the applicability of eighth order-iterative method stud- ied by Jaiswal in order to approximate a locally unique solution of an equation in Banach space setting. We provide a local convergence analysis using only hypotheses on the first Frechet-derivative. Moreover, we provide computable convergence radii, error bounds, and uniqueness results. Numerical examples computing the radii of the convergence balls as well as examples where earlier results cannot apply to solve equations but our results can apply are also given in this study. © 2019 Khayyam Journal of Mathematics.