Algebraic winding numbers

DOI10.1016/J.JALGEBRA.2024.07.010MaRDI QIDQ6612178

Marie-Françoise Roy, Daniel Perrucci

Publication date: 30 September 2024

Published in: Journal of Algebra (Search for Journal in Brave)

zbMATH Keywords

Cauchy indexwinding numberargument principleroot counting

Mathematics Subject Classification ID

Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10) Effectivity, complexity and computational aspects of algebraic geometry (14Q20) Real algebra (13J30)

Cites Work

• Univariate polynomials: Nearly optimal algorithms for numerical factorization and root-finding
• A new general formula for the Cauchy index on an interval with subresultants
• 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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