Characterizing principal minors of symmetric matrices via determinantal multiaffine polynomials
From MaRDI portal
Publication:6066482
DOI10.1016/j.jalgebra.2023.09.030zbMath1525.14059arXiv2105.13444OpenAlexW3166910449MaRDI QIDQ6066482
Cynthia Vinzant, Abeer Al Ahmadieh
Publication date: 16 November 2023
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2105.13444
Determinants, permanents, traces, other special matrix functions (15A15) Determinantal varieties (14M12) Positive matrices and their generalizations; cones of matrices (15B48) Quadratic and bilinear forms, inner products (15A63)
Cites Work
- Unnamed Item
- Obstructions to determinantal representability
- Set-theoretic defining equations of the variety of principal minors of symmetric matrices
- Hyperbolic polynomials, interlacers, and sums of squares
- Principal minors. I: A method for computing all the principal minors of a matrix
- Principal minors. II: The principal minor assignment problem
- Dodgson condensation: The historical and mathematical development of an experimental method
- Polynomial relations among principal minors of a \(4\times 4\)-matrix
- Lagrangian Grassmannians and spinor varieties in characteristic two
- An efficient algorithm for the symmetric principal minor assignment problem
- Determinantal representations of hyperbolic plane curves: an elementary approach
- Polynomials with the half-plane property and matroid theory
- Hyperdeterminantal relations among symmetric principal minors
- Determinantal Point Processes for Machine Learning
- Principal minors and rhombus tilings
- Symmetrization of principal minors and cycle-sums
- Multivariate stable polynomials: theory and applications
- Negative dependence and the geometry of polynomials
- A Novel Proof of the Desnanot-Jacobi Determinant Identity
This page was built for publication: Characterizing principal minors of symmetric matrices via determinantal multiaffine polynomials
