1 citations · 1 across the 4 of their papers we have counts for
4 papers
Tropicalizing Principal Minors of Positive Definite Matrices
Abeer Al Ahmadieh, Felipe Rincón, Cynthia Vinzant +1
We study the tropicalization of the image of the cone of positive definite matrices under the principal minors map. It is a polyhedral subset of the set of -concave functions on…
Real and Positive Tropicalizations of Symmetric Determinantal Varieties
Abeer Al Ahmadieh, May Cai, Josephine Yu
We study real and positive tropicalizations of the varieties of low rank symmetric matrices over real or complex Puiseux series. We show that real tropicalization coincides with co…
Determinantal representations and the image of the principal minor map
Abeer Al Ahmadieh, Cynthia Vinzant
In this paper we explore determinantal representations of multiaffine polynomials and consequences for the image of various spaces of matrices under the principal minor map. We sho…
Characterizing principal minors of symmetric matrices via determinantal multiaffine polynomials
Abeer Al Ahmadieh, Cynthia Vinzant
Here we consider the image of the principal minor map of symmetric matrices over an arbitrary unique factorization domain . By exploiting a connection with symmetric determinant…