Rectangular corner cutting and Dixon \({\mathcal A}\)-resultants

DOI10.1006/jsco.2001.0448zbMath0987.65044OpenAlexW2012493593MaRDI QIDQ5937883

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Publication date: 18 July 2001

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

Full work available at URL: https://doi.org/10.1006/jsco.2001.0448

zbMATH Keywords

systems of polynomial equations\({\mathcal A}\)-resultantDixon coefficient matrixDixon polynomialsDixon resultantMacaulay quotientrectangular corner cutting

Mathematics Subject Classification ID

Related Items (10)

Exact resultants for corner-cut unmixed multivariate polynomial systems using the Dixon formulation ⋮ The resultant of an unmixed bivariate system ⋮ Resultants for unmixed bivariate polynomial systems produced using the Dixon formulation ⋮ Corner edge cutting and Dixon \(\mathcal A\)-resultant quotients ⋮ 0/0 simplifies implicitization ⋮ Representing rational curve segments and surface patches using semi-algebraic sets ⋮ The Maximality of the Dixon Matrix on Corner-Cut Monomial Supports ⋮ Cayley-Dixon projection operator for multi-univariate composed polynomials ⋮ Three kinds of extraneous factors in Dixon resultants ⋮ Heuristics to sift extraneous factors in Dixon resultants

Cites Work

• Chow polytopes and general resultants
• The \(n\)-sided toric patches and \(\mathcal A\)-resultants
• Matrices in elimination theory
• On the Bézout construction of the resultant
• Conditions for exact resultants using the Dixon formulation
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