Generalized interlacing inequalities
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Publication:3143330
DOI10.1080/03081087.2011.619534zbMath1253.15014OpenAlexW2011139179MaRDI QIDQ3143330
Yiu-Tung Poon, Chi-Kwong Li, Nung-Sing Sze
Publication date: 29 November 2012
Published in: Linear and Multilinear Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03081087.2011.619534
Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Hermitian, skew-Hermitian, and related matrices (15B57)
Related Items (3)
Convexity and star-shapedness of matricial range ⋮ Generalized numerical ranges, dilation, and quantum error correction ⋮ Joint matricial range and joint congruence matricial range of operators
Cites Work
- Normal matrices and their principal submatrices of co-order one
- Completely positive linear maps on complex matrices
- The Lidskii-Mirsky-Wielandt theorem -- additive and multiplicative versions
- On normal matrices with normal principal submatrices
- A note on eigenvalues of perturbed Hermitian matrices
- Quantum error correcting codes from the compression formalism
- On thekth matrix numerical range
- Imbedding Conditions for Hermitian and Normal Matrices
- Matrices with Prescribed Characteristic Roots and Diagonal Elements
- Generalized minimax and interlacing theorems
- Canonical forms, higher rank numerical ranges, totally isotropic subspaces, and matrix equations
- Condition for the higher rank numerical range to be non-empty
- The multiplicative domain in quantum error correction
- Eigenvalues, invariant factors, highest weights, and Schubert calculus
- Geometry of higher-rank numerical ranges
- Inverse spectral problem for normal matrices and the Gauss-Lucas theorem
- Inequalities: theory of majorization and its applications
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