Matrix formulæ for resultants and discriminants of bivariate tensor-product polynomials

DOI10.1016/j.jsc.2019.07.007zbMath1471.13059OpenAlexW2785659348MaRDI QIDQ2284950

Angelos Mantzaflaris, Laurent Busé, Elias P. Tsigaridas

Publication date: 15 January 2020

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

Full work available at URL: https://hal.inria.fr/hal-01654263/file/bmt-j-bivar.pdf

zbMATH Keywords

singular locusresultanttensor-productmixed discriminantKoszul resultant matrixmixed polynomial system

Mathematics Subject Classification ID

Vector and tensor algebra, theory of invariants (15A72) Solving polynomial systems; resultants (13P15)

Related Items (2)

The Canny-Emiris conjecture for the sparse resultant ⋮ Koszul-Type Determinantal Formulas for Families of Mixed Multilinear Systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Mixed discriminants
• Homogeneous vector bundles
• Tate resolutions for Segre embeddings
• Multigraded resultants of Sylvester type
• The maximum number of real roots of a multihomogeneous system of polynomial equations
• Symbolic and numeric methods for exploiting structure in constructing resultant matrices
• Improved algorithms for computing determinants and resultants
• Matrices in elimination theory
• Resultants of determinantal varieties
• Multihomogeneous resultant formulae by means of complexes
• The resultant of an unmixed bivariate system
• Resultant, discriminant
• The discriminant of a system of equations
• Resultants for unmixed bivariate polynomial systems produced using the Dixon formulation
• Macaulay style formulas for sparse resultants
• Hybrid sparse resultant matrices for bivariate systems
• Root counts of semi-mixed systems, and an application to counting nash equilibria
• Conditions for exact resultants using the Dixon formulation
• Rectangular corner cutting and Sylvester A-resultants
• Singular Zeros of Polynomial Systems
• Plane Mixed Discriminants and Toric Jacobians
• Calculating Discriminants by Higher Direct Images
• Sylvester-resultants for bivariate polynomials with planar newton polygons
• Resultants and Discriminants for Bivariate Tensor-Product Polynomials
• A Poisson formula for the sparse resultant
• Deflation and certified isolation of singular zeros of polynomial systems
• Multihomogeneous resultant formulae for systems with scaled support
• Explicit formulas for the multivariate resultant.

This page was built for publication: Matrix formulæ for resultants and discriminants of bivariate tensor-product polynomials