5 citations · 5 across the 8 of their papers we have counts for
Showing math.OCShow all
3 papers · 1 filter
math.OC2017
Definite Determinantal Representations via Orthostochastic Matrices
Papri Dey
Determinantal polynomials play a crucial role in semidefinite programming problems. Helton-Vinnikov proved that real zero (RZ) bivariate polynomials are determinantal. However, it…
math.OC2017
Definite Determinantal Representations of Multivariate Polynomials
Papri Dey
In this paper, we consider the problem of representing a multivariate polynomial as the determinant of a definite (monic) symmetric/Hermitian linear matrix polynomial (LMP). Such a…
math.OC2016
A Complete Characterization of Determinantal Quadratic Polynomials
Papri Dey, Harish K. Pillai
The problem of expressing a multivariate polynomial as the determinant of a monic (definite) symmetric or Hermitian linear matrix polynomial (LMP) has drawn a huge amount of attent…