Improved local analysis for a certain class of iterative methods with cubic convergence. (English) Zbl 1317.65127
Summary: 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.
MSC:
| 65J15 | Numerical solutions to equations with nonlinear operators |
Keywords:
Banach space; iterative methods; local convergence; radius of convergence; convergence ballReferences:
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