Eigenvalues of Hermitian matrices with positive sum of bounded rank

2004/11/03 by Anders Skovsted Buch, Buch, Anders Skovsted
Engineering · Mathematics · #05E15 (Secondary) #15A42 (Primary) 14M15 #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #FOS: Mathematics #Graph theory and applications #Rings and Algebras (math.RA) #graph theory and CDMA systems #math.AG #math.RA #msc:05E15 #msc:14M15 #msc:15A42

paper · pdf · doi:10.48550/arxiv.math/0411063

arxiv created 2004/11/03 · openalex publication_date 2004/11/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a minimal list of inequalities characterizing the possible eigenvalues of a set of Hermitian matrices with positive semidefinite sum of bounded rank. This answers a question of A. Barvinok.

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