A derivative-free algorithm for computing zeros of analytic functions
The authors present an algorithm for computing all the zeros of analytic functions in a simply connected region in the complex plane. The algorithm requires only \(f\) and not its derivative \(f'\). The algorithm works for both simple and multiple zeros. The approximation for the zeros of \(f\) are accurate without using the initial approximation.
scientific article; zbMATH DE number 1340519