Evaluating and Differentiating a Polynomial Using a Pseudo-witness Set

DOI10.1007/978-3-030-52200-1_6zbMath1503.65111OpenAlexW3041239098MaRDI QIDQ5039556

Margaret H. Regan, Jonathan D. Hauenstein

Publication date: 13 October 2022

Published in: Lecture Notes in Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-52200-1_6

zbMATH Keywords

critical pointsdirectional derivativesnumerical algebraic geometryimplicit polynomialpseudo-witness set

Mathematics Subject Classification ID

Computational aspects of higher-dimensional varieties (14Q15) Numerical algebraic geometry (65H14)

Related Items

Signatures of algebraic curves via numerical algebraic geometry

Uses Software

• Bertini

Cites Work

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• Witness sets of projections
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• Membership tests for images of algebraic sets by linear projections
• A Numerical Method for Computing Border Curves of Bi-parametric Real Polynomial Systems and Applications
• Numerical algebraic geometry and algebraic kinematics
• Ideals, Varieties, and Algorithms
• Recovering Exact Results from Inexact Numerical Data in Algebraic Geometry
• The Numerical Solution of Systems of Polynomials Arising in Engineering and Science