Determinantal formulae for the solution set of zero-dimensional ideals

DOI10.1016/0022-4049(91)90097-LzbMath0743.13016OpenAlexW2061043482MaRDI QIDQ1181435

Laureano Gonzalez-Vega

Publication date: 27 June 1992

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(91)90097-l

zbMATH Keywords

Gröbner basishypersurfacedeterminantssubresultantszero-dimensional idealscomputing a basis for the ideal generated by \(n\) polynomials

Mathematics Subject Classification ID

Determinantal varieties (14M12) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Polynomials, factorization in commutative rings (13P05)

Related Items (6)

Multivariate subresultants in roots ⋮ Subresultants and the Shape Lemma ⋮ Subresultants in multiple roots ⋮ On the irreducibility of multivariate subresultants. ⋮ Solving over-determined systems by the subresultant method (with an appendix by Marc Chardin) ⋮ Multivariate subresultants using Jouanolou matrices

Cites Work

• Thom's lemma, the coding of real algebraic numbers and the computation of the topology of semi-algebraic sets
• Complexity of computation on real algebraic numbers
• Generalised characteristic polynomials
• Solving zero-dimensional algebraic systems
• Zur inhomogenen Eliminationstheorie
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Determinantal formulae for the solution set of zero-dimensional ideals