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Local convergence and a chemical application of derivative free root finding methods with one parameter based on interpolation

Argyros, Ioannis K; Magreñán, Á. Alberto ; Orcos, Lara (Journal of Mathematical Chemistry, 2016-08)

We present a local convergence analysis of a derivative free fourth order method with one parameter based on rational interpolation in order to approximate a locally unique root of a function. The method is optimal in the ...