Local comparison of two sixth order solvers using only the first derivative

Year 2019, Volume: 3 Issue: 4, 220 - 230, 30.12.2019

Santhosh George İoannis K Argyros

https://doi.org/10.31197/atnaa.581855

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

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