# A slight generalization of Steffensen Method for Solving Non Linear Equations

@article{Martins2022ASG, title={A slight generalization of Steffensen Method for Solving Non Linear Equations}, author={Eder Marinho Martins and Geraldo Cesar Gonçalves Ferreira and Thais Ester Gonçalves}, journal={ArXiv}, year={2022}, volume={abs/2209.14474} }

In this article, we present an iterative method to ﬁnd simple roots of nonlinear equations, that is, to solving an equation of the form f ( x ) = 0. Diﬀerent from Newton’s method, the method we purpose do not require evaluation of derivatives. The method is based on the classical Steﬀensen’s method and it is a slight modiﬁcation of it. The proofs of theoretical results are stated using Landau’s Little o notation and simples concepts of Real Analysis. We prove that the method converges and its…

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