Numerical implicitization: a Macaulay2 package

DOI10.2140/jsag.2019.9.55zbMath1430.14112arXiv1610.03034OpenAlexW2937842032MaRDI QIDQ2325368

Joe Kileel, Justin Chen

Publication date: 25 September 2019

Published in: The Journal of Software for Algebra and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.03034

zbMATH Keywords

interpolationhomotopy continuationmonodromyimplicitizationnumerical algebraic geometry

Mathematics Subject Classification ID

Software, source code, etc. for problems pertaining to algebraic geometry (14-04) Geometric aspects of numerical algebraic geometry (14Q65) Numerical algebraic geometry (65H14)

Related Items (5)

A Numerical Approach for Computing Euler Characteristics of Affine Varieties ⋮ Signatures of algebraic curves via numerical algebraic geometry ⋮ Moment Varieties for Mixtures of Products ⋮ The 4 × 4 Orthostochastic Variety ⋮ The cone of \(5 \times 5\) completely positive matrices

Uses Software

• Macaulay2
• PHCpack
• Bertini
• Bertini.m2
• NumericalImplicitization

Cites Work

• Unnamed Item
• The Hurwitz form of a projective variety
• Witness sets of projections
• Secant varieties of Segre-Veronese varieties
• Numerical algebraic geometry
• Algorithm 795
• Symmetric Functions Applied to Decomposing Solution Sets of Polynomial Systems
• Resultants and Chow forms via exterior syzygies

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