Local Convergence of Modified Halley-like Methods with Less Computation of Inversion
نویسندگان
چکیده
We present a local convergence analysis of a Modified Halley-Like Method of high convergence order in order to approximate a solution of a nonlinear equation in a Banach space. Our sufficient convergence conditions involve only hypotheses on the first Fréchet-derivative of the operator involved. Earlier studies use hypotheses up to the third Fréchet-derivative [26]. Numerical examples are also provided in this study. AMS Mathematics Subject Classification (2010): 65D10, 65D99.
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تاریخ انتشار 2015