Journal article
Real zero polynomials and A. Horn's problem
Linear algebra and its applications, v 552, pp 147-158
01 Sep 2018
Featured in Collection : UN Sustainable Development Goals @ Drexel
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).
Metrics
Details
- Title
- Real zero polynomials and A. Horn's problem
- Creators
- Lei Cao - Georgian Court UniversityHugo J. Woerdeman - Drexel University
- Publication Details
- Linear algebra and its applications, v 552, pp 147-158
- Publisher
- Elsevier
- Grant note
- 355645 / Simons Foundation (https://doi.org/10.13039/100000893)
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:000437392200009
- Scopus ID
- 2-s2.0-85046363618
- Other Identifier
- 991019168331704721
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- Collaboration types
- Domestic collaboration
- International collaboration
- Web of Science research areas
- Mathematics
- Mathematics, Applied