Bilateral approximations for some Aitken–Steffensen–Hermite type methods of order three
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摘要
We study the local convergence of some Aitken–Steffensen–Hermite type methods of order three. We obtain that under some reasonable conditions on the monotony and convexity of the nonlinear function, the iterations offer bilateral approximations for the solution, which can be efficiently used as a posteriori estimations.
论文关键词：Nonlinear equations,Aitken–Steffensen type methods,Hermite inverse interpolatory polynomials,Divided differences
论文评审过程：Available online 23 December 2010.
论文官网地址：https://doi.org/10.1016/j.amc.2010.12.067
