A new general formula for the Cauchy index on an interval with subresultants

DOI10.1016/j.jsc.2020.07.016zbMath1471.12002arXiv1812.02470OpenAlexW3040866315WikidataQ113869833 ScholiaQ113869833MaRDI QIDQ820980

Daniel Perrucci, Marie-Françoise Roy

Publication date: 29 September 2021

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.02470

zbMATH Keywords

Cauchy indexsubresultant polynomials

Mathematics Subject Classification ID

Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10) Semialgebraic sets and related spaces (14P10) Solving polynomial systems; resultants (13P15) Real rational functions (26C15)

Cites Work

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• The Fundamental Theorem of Algebra Made Effective: An Elementary Real-algebraic Proof via Sturm Chains
• Quantitative fundamental theorem of algebra
• Algorithms in real algebraic geometry

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