Real Zero Polynomials and A. Horn's Problem
Spectral Theory
2017-12-11 v1
Abstract
A. Horn's problem concerns find two self adjoint matrices A, B, so that A, B, and A+B have prescribed spectrum. In this paper, we show how it connects to an interpolation problem for two variable real zero polynomials and a tracial moment problem. In addition, we outline an algorithm to construct a pair (A,B).
Cite
@article{arxiv.1712.02922,
title = {Real Zero Polynomials and A. Horn's Problem},
author = {Lei Cao and Hugo J. Woerdeman},
journal= {arXiv preprint arXiv:1712.02922},
year = {2017}
}