Real Zero Polynomials and A. Horn's Problem

Authors

Lei Cao, Shandong Normal University - China; Georgian Court UniversityFollow
Hugo J. Woerdeman, Drexel University

Document Type

Article

Publication Date

9-1-2018

Publication Title

Linear Algebra and its Applications

Keywords

Tracial moment problem; A. Horn's problem; Real zero polynomial

ISSN

0024-3795

Volume

552

First Page

147

Last Page

158

Abstract

A. Horn's problem concerns finding two self adjoint matrices, 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).

Comments

©2018 Elsevier Inc. All rights reserved.

NSUWorks Citation

Cao, Lei and Woerdeman, Hugo J., "Real Zero Polynomials and A. Horn's Problem" (2018). Mathematics Faculty Articles. 274.
https://nsuworks.nova.edu/math_facarticles/274

ORCID ID

0000-0001-7613-7191

ResearcherID

G-7341-2019

DOI

10.1016/j.laa.2018.04.015