A simple but exact and efficient algorithm for complex root isolation

@inproceedings{Yap2011ASB,
  title={A simple but exact and efficient algorithm for complex root isolation},
  author={Chee-Keng Yap and Michael Sagraloff},
  booktitle={ISSAC},
  year={2011}
}
We present a new exact subdivision algorithm CEVAL for isolating the complex roots of a square-free polynomial in any given box. It is a generalization of a previous real root isolation algorithm called EVAL. Under suitable conditions, our approach is applicable for general analytic functions. CEVAL is based on the simple Bolzano Principle and is easy to implement exactly. Preliminary experiments have shown its competitiveness. We further show that, for the "benchmark problem" of isolating all… CONTINUE READING