Decomposing Solution Sets of Polynomial Systems Using Derivatives

DOI10.1007/978-3-319-42432-3_16zbMath1434.14022OpenAlexW2495688539MaRDI QIDQ2819208

Jonathan D. Hauenstein, Daniel A. Brake, Alan C. jun. Liddell

Publication date: 28 September 2016

Published in: Mathematical Software – ICMS 2016 (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-42432-3_16

zbMATH Keywords

numerical algebraic geometrynumerical irreducible decompositiontrace test

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Effectivity, complexity and computational aspects of algebraic geometry (14Q20) Geometric aspects of numerical algebraic geometry (14Q65)

Related Items (3)

Trace test ⋮ Multiprojective witness sets and a trace test ⋮ Using monodromy to statistically estimate the number of solutions

Uses Software

• NumPy
• Bertini

Cites Work

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• Isosingular sets and deflation
• Witness sets of projections
• Bertini_real: Software for One- and Two-Dimensional Real Algebraic Sets
• Symmetric Functions Applied to Decomposing Solution Sets of Polynomial Systems
• The Numerical Solution of Systems of Polynomials Arising in Engineering and Science
• Equations for Lower Bounds on Border Rank

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