Numerical algorithms for detecting embedded components

DOI10.1016/j.jsc.2016.12.004zbMath1357.13030arXiv1405.7871OpenAlexW2963833949MaRDI QIDQ512360

Anton Leykin, Robert Krone

Publication date: 24 February 2017

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

Full work available at URL: https://arxiv.org/abs/1405.7871

zbMATH Keywords

numerical algebraic geometryprimary decompositionMacaulay dual space

Mathematics Subject Classification ID

Computational aspects in algebraic geometry (14Qxx) Solving polynomial systems; resultants (13P15)

Related Items (5)

Noetherian operators in Macaulay2 ⋮ Eliminating dual spaces ⋮ Primary ideals and their differential equations ⋮ Noetherian operators and primary decomposition ⋮ Effective algorithm for computing Noetherian operators of zero-dimensional ideals

Uses Software

• Macaulay2
• SINGULAR
• NumericalAlgebraicGeometry
• NumericalHilbert

Cites Work

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• Isosingular sets and deflation
• Eliminating dual spaces
• Isolated points, duality and residues
• Numerical algebraic geometry
• Numerical Decomposition of the Solution Sets of Polynomial Systems into Irreducible Components
• Joins and Intersections
• NUMERICAL ALGORITHMS FOR DUAL BASES OF POSITIVE-DIMENSIONAL IDEALS
• Numerical primary decomposition
• The Numerical Solution of Systems of Polynomials Arising in Engineering and Science

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