Ranks and determinants of the sum of matrices from unitary orbits
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Publication:5443478
DOI10.1080/03081080701369306zbMath1137.15002OpenAlexW2139594175MaRDI QIDQ5443478
Chi-Kwong Li, Nung-Sing Sze, Yiu-Tung Poon
Publication date: 21 February 2008
Published in: Linear and Multilinear Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03081080701369306
Determinants, permanents, traces, other special matrix functions (15A15) Vector spaces, linear dependence, rank, lineability (15A03)
Related Items (7)
On the determinantal range of matrix products ⋮ A Fiedler-type determinantal inequality in Euclidean Jordan algebras ⋮ On the \(C\)-determinantal range for special classes of matrices ⋮ Determinant and Pfaffian of sum of skew symmetric matrices ⋮ Determinants of sum of orbits under compact Lie group ⋮ The sum of unitary similarity orbits containing only special operators ⋮ Extremal case in Marcus–Oliveira conjecture and beyond
Cites Work
- Unnamed Item
- \(3\times 3\) orthostochastic matrices and the convexity of generalized numerical ranges
- The ultimate estimate of the upper norm bound for the summation of operators
- Conditions for the generalized numerical range to be real
- Some analogies between the c-numerical range and a certain variation on this concept
- Some remarks on a conjecture of de Oliveira
- On the determinantal conjecture of Marcus and de Oliveira
- The validity of the Marcus-de Oliveira conjecture for essentially Hermitian matrices
- Three observations on the determinantal range
- On the eigenvalues of Jordan products
- Imbedding Conditions for Hermitian and Normal Matrices
- On a conjecture of G. N. de Oliveira on determinants
- Matrices with prescribed submatrices
- C-numerical ranges andC-numerical radii
- Principal Submatrices of a Hermitian Matrix
- On Representatives of Subsets
- Some Convexity Features Associated with Unitary Orbits
- The determinant of the sum of two matrices
- Eigenvalues, invariant factors, highest weights, and Schubert calculus
- A Lower Bound on the C-Numerical Radius of Nilpotent Matrices Appearing in Coherent Spectroscopy
- Doubly Stochastic Matrices and the Diagonal of a Rotation Matrix
- Products of matrices with prescribed spectra and ranks
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