Abstract
We use Lipschitz and center-Lipschitz conditions to provide an improved local convergence analysis for a certain class of iterative methods with cubic order of convergence. It turns out that under the same computational cost as before, we obtain a larger radius of convergence and tighter error bounds. Numerical examples are also provided in this study.
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Ren, H., Argyros, I.K. Improved local analysis for a certain class of iterative methods with cubic convergence. Numer Algor 59, 505–521 (2012). https://doi.org/10.1007/s11075-011-9501-6
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DOI: https://doi.org/10.1007/s11075-011-9501-6