- Advances in the Theory of Nonlinear Analysis and its Application
- Vol: 3 Issue: 4
- Local comparison of two sixth order solvers using only the first derivative
Local comparison of two sixth order solvers using only the first derivative
Authors : Santhosh GEORGE, İoannis K ARGYROS
Pages : 220-230
Doi:10.31197/atnaa.581855
View : 4 | Download : 1
Publication Date : 2019-12-30
Article Type : Research
Abstract :Two efficient sixth order solvers are compared involving Banach space valued operators. Earlier papers use hypotheses up to the seventh derivative that do not appear in the solver. But we use hypotheses only on the first derivative. Hence, we expand the applicability of these methods. We use examples to test the older as well as our results.Keywords : Banach space, Fr'echet derivative, sixth order of convergence