The generic Gröbner walk

DOI10.1016/j.jsc.2006.09.004zbMath1124.68120arXivmath/0501345OpenAlexW2128045506MaRDI QIDQ2457423

Niels Lauritzen, Komei Fukuda, Rekha R. Thomas, Anders Nedergaard Jensen

Publication date: 23 October 2007

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

Full work available at URL: https://arxiv.org/abs/math/0501345

zbMATH Keywords

polyhedral geometryGröbner basis conversion

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30)

Related Items

Gröbner systems conversion, First order perturbation and local stability of parametrized systems, Archimedean Orders on Certain Rings of Invariants, Gröbner fans of \(x\)-homogeneous ideals in \(R [\![ t \!][x]\)], Standard bases in mixed power series and polynomial rings over rings, Massively parallel computation of tropical varieties, their positive part, and tropical Grassmannians, Ideal-specific elimination orders form a star-shaped region, Converting subalgebra bases with the Sagbi walk, A survey on algorithms for computing comprehensive Gröbner systems and comprehensive Gröbner bases, Parametric FGLM algorithm, Universal characteristic decomposition of radical differential ideals, Computing Gröbner fans

Uses Software

• 4ti2

Cites Work

• The Gröbner fan of an ideal
• Converting bases with the Gröbner walk
• On the walk
• A fast algorithm for Gröbner basis conversion and its applications
• Using Algebraic Geometry
• Hard Equality Constrained Integer Knapsacks
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