Local convergence of a class of multi-point Super–Halley methods in Banach spaces under weak conditions
Abstract
We present a local convergence analysis of a class of multi-point Super–Halley methods in order to approximate a solution of nonlinear equations in a Banach space setting. The semilocal convergence analysis of this method was studied by Wang
et. al. [24]. This work provides computable convergence ball and computable error bounds under weaker conditions than in [24]. Numerical examples are also provided in this study.
Published
2015-02-19
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Section
Articles