Generalized Diagonals in Positive Semi-Definite Matrices
Combinatorics
2024-09-18 v2
Abstract
We describe all inequalities among generalized diagonals in positive semi-definite matrices. These turn out to be governed by a simple partial order on the symmetric group. This provides an analogue of results of Drake, Gerrish, and Skandera on inequalities among generalized diagonals in totally nonnegative matrices.
Cite
@article{arxiv.2409.06907,
title = {Generalized Diagonals in Positive Semi-Definite Matrices},
author = {Robert Angarone and Daniel Soskin},
journal= {arXiv preprint arXiv:2409.06907},
year = {2024}
}
Comments
7 pages; fixed minor typos for v2