A class of quasi-Newton generalized Steffensen methods on Banach spaces

By Sergio Amat, Sonia Busquier, Vicente F. Candela. 2002

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A two-step Steffensen's method under modified convergence conditions (2006, methodology): “Using this definition, the following generalization of Steffensen’s method was considered in [3]: xn+1 = xn − [ xn, xn + αnF(xn);F ]−1 F(xn), (2) where αn ∈ [0,1].”