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arXiv · 1712.02922

Real Zero Polynomials and A. Horn's Problem

Lei Cao·Hugo J. Woerdeman
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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).

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Lei Cao, Hugo J. Woerdeman. 2017-12-08. Real Zero Polynomials and A. Horn's Problem. https://arxiv.org/abs/1712.02922

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