The validity of the Marcus-de Oliveira conjecture for essentially Hermitian matrices

DOI10.1016/0024-3795(94)90498-7zbMath0801.15005OpenAlexW1968310825WikidataQ123254904 ScholiaQ123254904MaRDI QIDQ1319999

João da Providência, Alexander Kovačec, Natália Bebiano

Publication date: 16 May 1994

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

Full work available at URL: https://doi.org/10.1016/0024-3795(94)90498-7

zbMATH Keywords

eigenvaluesdeterminantsnormal matricesMarcus-de Oliveira conjectureessentially Hermitian matrices

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15)

Related Items (7)

On the determinantal range of matrix products ⋮ OMC for scalar multiples of unitaries ⋮ On the \(C\)-determinantal range for special classes of matrices ⋮ Three observations on the determinantal range ⋮ Ranks and determinants of the sum of matrices from unitary orbits ⋮ A class of normal dilation matrices affirming the Marcus-de Oliveira conjecture ⋮ Extremal case in Marcus–Oliveira conjecture and beyond

Cites Work

• Some notes on de Oliveira's determinantal conjecture
• Matrices satisfying a conjecture of G. N. de Oliveira on determinants
• Some remarks on a conjecture of de Oliveira
• On the determinantal conjecture of Marcus and de Oliveira
• Bounds for the Determinant of the Sum of Hermitian Matrices
• On separation properties of finite dimensional compact convex sets
• Inequalities: theory of majorization and its applications
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