Improved local analysis for a certain class of iterative methods with cubic convergence |
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| Authors: | Hongmin Ren Ioannis K. Argyros |
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| Affiliation: | 1.College of Information and Electronics,Hangzhou Polytechnic,Hangzhou,Peoples Republic of China;2.Department of Mathematical Sciences,Cameron University,Lawton,USA |
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| 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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