10 citations · 21 across the 16 of their papers we have counts for
6 papers · 1 filter
Characteristic polynomials and eigenvalues of tensors
Francesco Galuppi, Fulvio Gesmundo, Ettore Teixeira Turatti +1
We lay the geometric foundations for the study of the characteristic polynomial of tensors. For symmetric tensors of order and dimension and symmetric tensors of ord…
Voronoi diagrams of algebraic varieties under polyhedral norms
Adrian Becedas, Kathlén Kohn, Lorenzo Venturello
We study Voronoi diagrams of manifolds and varieties with respect to polyhedral norms. We provide upper and lower bounds on the dimensions of Voronoi cells. For algebraic varieties…
Equations of tensor eigenschemes
Valentina Beorchia, Francesco Galuppi, Lorenzo Venturello
We study schemes of tensor eigenvectors from an algebraic and geometric viewpoint. We characterize determinantal defining equations of such eigenschemes via linear equations in the…
The leading coefficient of Lascoux polynomials
Alessio Borzí, Xiangying Chen, Harshit J. Motwani +2
Lascoux polynomials have been recently introduced to prove polynomiality of the maximum-likelihood degree of linear concentration models. We find the leading coefficient of the Las…
Nonlinear Algebra and Applications
Paul Breiding, Türkü Özlüm Çelik, Timothy Duff +5
We showcase applications of nonlinear algebra in the sciences and engineering. Our review is organized into eight themes: polynomial optimization, partial differential equations, a…
Eigenschemes of Ternary Tensors
Valentina Beorchia, Francesco Galuppi, Lorenzo Venturello
We study projective schemes arising from eigenvectors of tensors, called eigenschemes. After some general results, we give a birational description of the variety parametrizing eig…