On the determinantal conjecture of Marcus and de Oliveira

DOI10.1016/0024-3795(92)90319-6zbMath0768.15002OpenAlexW2077674425WikidataQ123099561 ScholiaQ123099561MaRDI QIDQ1208265

B. Cload, Stephen W. Drury

Publication date: 16 May 1993

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(92)90319-6

zbMATH Keywords

eigenvaluessymmetric groupconvex hulldeterminantal conjecturenormal complex matrices

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items (10)

On a recent determinantal inequality ⋮ An extension of Birkhoff's theorem with an application to determinants ⋮ On the determinantal range of matrix products ⋮ On symmetric functions of the eigenvalues of the sum of two Hermitian matrices ⋮ Three observations on the determinantal range ⋮ Ranks and determinants of the sum of matrices from unitary orbits ⋮ Some further notes on the Marcus-de Oliveira determinantal conjecture ⋮ A class of normal dilation matrices affirming the Marcus-de Oliveira conjecture ⋮ Extremal case in Marcus–Oliveira conjecture and beyond ⋮ The validity of the Marcus-de Oliveira conjecture for essentially Hermitian matrices

Cites Work

• A counterexample to a question of Merikoski and Virtanen on the compounds of unitary matrices
• On eigenvalues of sums of normal matrices
• On a conjecture of G. N. de Oliveira on determinants
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