A note on a paper by D.K.R. Babajee and M.Z. Dauhoo

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摘要

A counterexample is provided in this short note to show that some of local convergence theorems established in [D.K.R. Babajee, M.Z. Dauhoo, An analysis of the properties of the variants of Newton’s method with third order convergence, Appl. Math. Comput. 183 (2006) 659–684] are not always true. Some mistakes in the proofs of these theorems are pointed out.

论文关键词:Nonlinear equations,Iterative methods,Convergence analysis

论文评审过程:Available online 16 December 2007.

论文官网地址:https://doi.org/10.1016/j.amc.2007.12.018