Explicit determinantal representations of up to quintic bivariate polynomials
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Publication:4685517
DOI10.1080/03081087.2017.1394256zbMath1401.65035arXiv1609.00498OpenAlexW2962898914MaRDI QIDQ4685517
Publication date: 9 October 2018
Published in: Linear and Multilinear Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1609.00498
Computational methods for sparse matrices (65F50) Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Determinantal varieties (14M12) Computational aspects of algebraic curves (14Q05) Numerical computation of roots of polynomial equations (65H04) Solving polynomial systems; resultants (13P15)
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Hessian matrices, automorphisms of \(p\)-groups, and torsion points of elliptic curves, NORMAL AND TRIANGULAR DETERMINANTAL REPRESENTATIONS OF MULTIVARIATE POLYNOMIALS
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Cites Work
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- Symmetric determinantal representation of polynomials
- Hyperbolic polynomials and generalized Clifford algebras
- Multiparameter eigenvalue problems. Volume I: Matrices and compact operators
- Complete description of determinantal representations of smooth irreducible curves
- Galois groups of enumerative problems
- Minimal determinantal representations of bivariate polynomials
- Roots of Bivariate Polynomial Systems via Determinantal Representations
- Computing Linear Matrix Representations of Helton-Vinnikov Curves
- LMI Representations of Convex Semialgebraic Sets and Determinantal Representations of Algebraic Hypersurfaces: Past, Present, and Future
- Computing Hermitian determinantal representations of hyperbolic curves
- LINE BUNDLES AND HOMOGENEOUS MATRICES
- Accurate solution of polynomial equations using Macaulay resultant matrices
- Determinantal hypersurfaces.