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arxiv: 1307.7334 · v1 · pith:4CEAM7U6new · submitted 2013-07-28 · 🧮 math.NA

A class of iterative methods for solving nonlinear equation with fourth-order convergence

classification 🧮 math.NA
keywords classfourth-ordermethodmethodsnonlinearsolvingconvergenceefficiency
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In this paper we established a class of optimal fourth-order methods which is obtained by existing third-order method for solving nonlinear equations for simple roots by using weight functions. Some physical examples are given to illustrate the efficiency and performance of our method.

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