Some notes on de Oliveira's determinantal conjecture

DOI10.1016/0024-3795(89)90709-XzbMath0692.15003WikidataQ122876554 ScholiaQ122876554MaRDI QIDQ583324

Ari Virtanen, Jorma Kaarlo Merikoski

Publication date: 1989

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

zbMATH Keywords

determinantpermutation matricescompounds

Mathematics Subject Classification ID

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

Related Items (15)

On a conjecture of Marcus and de Oliveira ⋮ On a recent determinantal inequality ⋮ On the determinantal range of matrix products ⋮ A bound for the determinant of the sum of two normal matrices ⋮ A counterexample to a question of Merikoski and Virtanen on the compounds of unitary matrices ⋮ Unnamed Item ⋮ Three observations on the determinantal range ⋮ Some further notes on the Marcus-de Oliveira determinantal conjecture ⋮ A class of normal dilation matrices affirming the Marcus-de Oliveira conjecture ⋮ The determinantal conjecture and Hadamard type inequalities ⋮ A reverse Hadamard inequality ⋮ Extremal case in Marcus–Oliveira conjecture and beyond ⋮ The Marcus-de Oliveira conjecture, bilinear forms, and cones ⋮ The validity of the Marcus-de Oliveira conjecture for essentially Hermitian matrices ⋮ On a theorem of Wielandt and the compounds of unitary 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
• Some remarks on a conjecture of de Oliveira
• On a conjecture of G. N. de Oliveira on determinants
• Bounds for the Determinant of the Sum of Hermitian Matrices
• Unnamed Item

This page was built for publication: Some notes on de Oliveira's determinantal conjecture