The secant method is a procedure for approximating the zeros of a function. We will explore the behavior of this procedure in the case of univariate rational functions for arbitrary starting points, whether or not there is convergence to a zero.
The Secant Method for Root Finding, Viewed as a Dynamical System
Bedford E., Frigge P. (2018) "The Secant Method for Root Finding, Viewed as a Dynamical System " Dolomites Research Notes on Approximation, 11(4), 122-129. DOI: 10.14658/PUPJ-DRNA-2018-4-11
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Dolomites Research Notes on Approximation
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