The determinant of the sum of two normal matrices with prescribed eigenvalues

DOI10.1016/0024-3795(85)90231-9zbMath0576.15006OpenAlexW2056516742MaRDI QIDQ1065105

João Filipe Queiró, Natália Bebiano

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0024-3795(85)90231-9

zbMATH Keywords

prescribed eigenvaluesdeterminantnormal matrices

Mathematics Subject Classification ID

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

Related Items

Some remarks on a conjecture of de Oliveira, On a conjecture of G. N. de Oliveira on determinants, OnC-det spectral andC-det-convex matrices, Some notes on de Oliveira's determinantal conjecture, Some further notes on the Marcus-de Oliveira determinantal conjecture, Matrices satisfying a conjecture of G. N. de Oliveira on determinants

Cites Work

• Elementary inclusion relations for generalized numerical ranges
• On eigenvalues of sums of normal matrices
• On the shape of the generalized numerical ranges
• Normality and the Higher Numerical Range
• Bounds for the Determinant of the Sum of Hermitian Matrices