Sparse resultant under vanishing coefficients

DOI10.1023/A:1025169426299zbMath1096.14042OpenAlexW1513214480MaRDI QIDQ1408687

Manfred Minimair

Publication date: 25 September 2003

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1025169426299

zbMATH Keywords

Newton polytopeelimination theoryresultantsparse resultant

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Computational aspects and applications of commutative rings (13P99)

Related Items (12)

On the Mahler measure of resultants in small dimensions ⋮ Sparse resultants and straight-line programs ⋮ The Canny-Emiris conjecture for the sparse resultant ⋮ Sparse trace tests ⋮ Resultants of partially composed polynomials ⋮ Computing multihomogeneous resultants using straight-line programs ⋮ Single-lifting Macaulay-type formulae of generalized unmixed sparse resultants ⋮ A parametric representation of totally mixed Nash equilibria ⋮ Macaulay style formulas for sparse resultants ⋮ Rational formulas for traces in zero-dimensional algebras ⋮ Cayley-Dixon projection operator for multi-univariate composed polynomials ⋮ A Poisson formula for the sparse resultant

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Le formalisme du résultant. (The formalism of resultant)
• Multipolynomial resultant algorithms
• On the Newton polytope of the resultant
• Product formulas for resultants and Chow forms
• Generalized resultants over unirational algebraic varieties
• Sparse resultant of composed polynomials. I: Mixed-unmixed case.
• Sparse resultant of composed polynomials. II: Unmixed-mixed case.
• Solving degenerate sparse polynomial systems faster
• Residues and Resultants
• A Chain Rule for Multivariable Resultants
• A subdivision-based algorithm for the sparse resultant
• Explicit formulas for the multivariate resultant.

This page was built for publication: Sparse resultant under vanishing coefficients