Improved local analysis for a certain class of iterative methods with cubic convergence

Improved local analysis for a certain class of iterative methods with cubic convergence

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Article ID: iaor20122832
Volume: 59
Issue: 4
Start Page Number: 505
End Page Number: 521
Publication Date: Apr 2012
Journal: Numerical Algorithms
Authors: ,
Keywords: iterative methods, Lipschitz functions
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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