Real Zero Polynomials and A. Horn's Problem

Lei Cao; Hugo J. Woerdeman

doi:10.1016/j.laa.2018.04.015

Real Zero Polynomials and A. Horn's Problem

Lei Cao
, Hugo J. Woerdeman

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

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 ).

Original language	American English
Pages (from-to)	147-158
Number of pages	12
Journal	Linear Algebra and its Applications
Volume	552
DOIs	https://doi.org/10.1016/j.laa.2018.04.015
State	Published - Sep 1 2018
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2018 Elsevier Inc.

Funding

HJW is partially supported by Simons Foundation grant 355645.

Funders	Funder number
Simons Foundation	355645

ASJC Scopus Subject Areas

Algebra and Number Theory
Numerical Analysis
Geometry and Topology
Discrete Mathematics and Combinatorics

Keywords

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

Disciplines

Mathematics

Access to Document

10.1016/j.laa.2018.04.015

Cite this

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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 ).",

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author = "Lei Cao and Woerdeman, \{Hugo J.\}",

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language = "American English",

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AU - Cao, Lei

AU - Woerdeman, Hugo J.

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AB - 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 ).

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

KW - A. Horn's problem

KW - Tracial moment problem

KW - Real zero polynomial

UR - https://nsuworks.nova.edu/math_facarticles/274

UR - https://www.scopus.com/pages/publications/85046363618

UR - https://www.scopus.com/pages/publications/85046363618#tab=citedBy

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DO - 10.1016/j.laa.2018.04.015

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JO - Linear Algebra and its Applications

JF - Linear Algebra and its Applications

ER -

Real Zero Polynomials and A. Horn's Problem

Abstract

Bibliographical note

Funding

ASJC Scopus Subject Areas

Keywords

Disciplines

Access to Document

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