4 papers · 1 filter
Palindromicity of multivariate Eulerian polynomials
Alejandro González Nevado
We lift to the multivariate Eulerian polynomials the identity implying that univariate Eulerian polynomials are palindromic. As a consequence of this generalization, we obtain nice…
Guessing sequences of eigenvectors for LMPs defining spectrahedral relaxations of Eulerian rigidly convex sets
Alejandro González Nevado
Stable multivariate Eulerian polynomials were introduced by Brändén. Particularizing some variables, it is possible to extract real zero multivariate Eulerian polynomials from them…
Spectrahedral relaxations of Eulerian rigidly convex sets
Alejandro González Nevado
We study a generalization of Eulerian polynomials to the multivariate setting introduced by Brändén. Although initially these polynomials were introduced using the language of hype…
A Method for Establishing Asymptotically Accurate Bounds for Extremal Roots of Eulerian Polynomials Using Polynomial Stability Preservers
Alejandro González Nevado
We develop the tools to bound extreme roots of multivariate real zero polynomials globally. This is done through the use of a relaxation that approximates their rigidly convex sets…