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Journal Articles Journal of Symbolic Computation Year : 2022

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

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.
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Dates and versions

hal-02912353 , version 1 (05-08-2020)

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Daniel Perrucci, Marie-Françoise Roy. A new general formula for the Cauchy Index on an interval with Subresultants. Journal of Symbolic Computation, 2022, 109, pp.465-481. ⟨10.1016/j.jsc.2020.07.016⟩. ⟨hal-02912353⟩
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