No eigenvalues outside the support of the limiting spectral distribution of quaternion sample covariance matrices

DOI10.1142/S2010326321500039zbMath1455.15010OpenAlexW2976378521MaRDI QIDQ3387071

Huiqin Li

Publication date: 12 January 2021

Published in: Random Matrices: Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s2010326321500039

zbMATH Keywords

random matrix theoryquaternion matrixsample covariance matricesspectrum separation

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Strong limit theorems (60F15) Random matrices (algebraic aspects) (15B52) Functional limit theorems; invariance principles (60F17)

Cites Work

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• On the semicircular law of large-dimensional random quaternion matrices
• Illumination invariant face recognition using quaternion-based correlation filters
• A quaternion framework for color image smoothing and segmentation
• Spectral analysis of large dimensional random matrices
• Distribution function inequalities for martingales
• No eigenvalues outside the support of the limiting spectral distribution of large-dimensional sample covariance matrices
• On the empirical distribution of eigenvalues of a class of large dimensional random matrices
• Strong convergence of the empirical distribution of eigenvalues of large dimensional random matrices
• Multistability and multiperiodicity in impulsive hybrid quaternion-valued neural networks with mixed delays
• Convergence rates of the spectral distributions of large random quaternion self-dual Hermitian matrices
• Extreme eigenvalues of large dimensional quaternion sample covariance matrices
• Matrix Analysis
• The Quaternion LMS Algorithm for Adaptive Filtering of Hypercomplex Processes
• Quaternion-MUSIC for vector-sensor array processing
• The Threefold Way. Algebraic Structure of Symmetry Groups and Ensembles in Quantum Mechanics
• On the limit of the spectral distribution of large-dimensional random quaternion covariance matrices
• Quaternions and matrices of quaternions

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