Improved convergence ball and error analysis of Müller's method
Résumé
We present an improved convergence analysis of Müller's method for solving nonlinear equation under conditions that the divided differences of order one of the involved function satisfy the Lipschitz conditions. Our result improves the earlier work in literature. Numerical examples are presented to illustrate the theoretical results.
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Références
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Wu, Q. B., Ren, H. M. and Bi, W. H., Convergence ball and error analysis of Muller's method. Appl. Math. Comput. 184, 464-470, (2007). https://doi.org/10.1016/j.amc.2006.05.167
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