A class of multivariate polynomial convolutions (and applications)
Combinatorics
2020-10-20 v1
Abstract
We prove two "master" convolution theorems for multivariate determinantal polynomials. The methods used include basic properties of what we call a "minor-orthogonal" ensemble as well as properties of the mixed discriminant of matrices. We also give applications, including a rederivation of a result of Barvinok on computing the permanent of a low rank matrix and a polynomial convolution corresponding to the unitarily invariant addition of generalized singular values.
Cite
@article{arxiv.2010.08996,
title = {A class of multivariate polynomial convolutions (and applications)},
author = {Adam W. Marcus},
journal= {arXiv preprint arXiv:2010.08996},
year = {2020}
}