Some remarks on a conjecture of de Oliveira

DOI10.1016/0024-3795(88)90327-8zbMath0658.15004OpenAlexW2051865765WikidataQ123252211 ScholiaQ123252211MaRDI QIDQ1111644

João da Providência, Natália Bebiano

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0024-3795(88)90327-8

zbMATH Keywords

eigenvaluesconvex hulldeterminantnormal matrices

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items (9)

On a recent determinantal inequality ⋮ OMC for scalar multiples of unitaries ⋮ On the \(C\)-determinantal range for special classes of matrices ⋮ Three observations on the determinantal range ⋮ Some notes on de Oliveira's determinantal conjecture ⋮ Ranks and determinants of the sum of matrices from unitary orbits ⋮ The determinantal conjecture and Hadamard type inequalities ⋮ Extremal case in Marcus–Oliveira conjecture and beyond ⋮ The validity of the Marcus-de Oliveira conjecture for essentially Hermitian matrices

Cites Work

• The determinant of the sum of two normal matrices with prescribed eigenvalues
• Matrices satisfying a conjecture of G. N. de Oliveira on determinants
• Bounds for the Determinant of the Sum of Hermitian Matrices

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