On a conjecture of G. N. de Oliveira on determinants

DOI10.1080/03081088708817750zbMath0612.15001OpenAlexW2015089202WikidataQ122950302 ScholiaQ122950302MaRDI QIDQ3752521

Jorma Kaarlo Merikoski, Natália Bebiano, João da Providência

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1080/03081088708817750

zbMATH Keywords

convex hulldeterminantnormal matrices

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Inequalities involving eigenvalues and eigenvectors (15A42)

Related Items (10)

An extension of Birkhoff's theorem with an application to determinants ⋮ On the determinantal range of matrix products ⋮ On the \(C\)-determinantal range for special classes of matrices ⋮ OnC-det spectral andC-det-convex matrices ⋮ On the determinantal conjecture of Marcus and de Oliveira ⋮ Some notes on de Oliveira's determinantal conjecture ⋮ Ranks and determinants of the sum of matrices from unitary orbits ⋮ A class of normal dilation matrices affirming the Marcus-de Oliveira conjecture ⋮ The determinantal conjecture and Hadamard type inequalities ⋮ The Marcus-de Oliveira conjecture, bilinear forms, and cones

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
• Inequalities and existence theorems in the theory of matrices
• Inequalities: theory of majorization and its applications

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