English

A new general formula for the Cauchy Index on an interval with Subresultants

Algebraic Geometry 2020-07-21 v2

Abstract

We present a new formula for the Cauchy index of a rational function on an interval using subresultant polynomials. There is no condition on the endpoints of the interval and the formula also involves in some cases less subresultant polynomials.

Keywords

Cite

@article{arxiv.1812.02470,
  title  = {A new general formula for the Cauchy Index on an interval with Subresultants},
  author = {Daniel Perrucci and Marie-Françoise Roy},
  journal= {arXiv preprint arXiv:1812.02470},
  year   = {2020}
}