Finding zeros of analytic functions: alpha theory for secant type methods
We present new results concerning the convergence of secant type methods with only conditions at a point. Thr radius of robustness of these methods is given, and us apply it to the study of the complexity of homotopy methods For approximating roots. In particular, we say how to use the secant type method to ger an approximate Zero relative to the Neuron method. (C) 1999 Academic Press.
complexity homotopy method approximate zero regula falsi secant method newton method alpha-theory