Limiting spectral distribution of block matrices with Toeplitz block structure

DOI10.1016/j.spl.2012.04.004zbMath1248.60008arXiv1111.1901OpenAlexW2076428773MaRDI QIDQ449419

Arup Bose, Rajat Subhra Hazra, Riddhipratim Basu, Shirshendu Ganguly

Publication date: 30 August 2012

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.1901

zbMATH Keywords

Toeplitz matrixlimiting spectral distributionWigner matrixblock random matrices

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Random matrices (algebraic aspects) (15B52) Convergence of probability measures (60B10) Toeplitz, Cauchy, and related matrices (15B05)

Related Items (6)

Sparse random block matrices ⋮ Limiting spectral distribution of block matrices with Toeplitz block structure ⋮ On the almost sure location of the singular values of certain Gaussian block-Hankel large random matrices ⋮ Spectral analysis of large block random matrices with rectangular blocks ⋮ Bulk behaviour of some patterned block matrices ⋮ On some spectral properties of large block Laplacian random matrices

Cites Work

• Unnamed Item
• Limiting spectral distribution of block matrices with Toeplitz block structure
• Limit distributions of eigenvalues for random block Toeplitz and Hankel matrices
• The spectral laws of Hermitian block-matrices with large random blocks
• Another look at the moment method for large dimensional random matrices
• Spectral measure of large random Hankel, Markov and Toeplitz matrices
• Distribution of eigenvalues for the ensemble of real symmetric Toeplitz matrices
• On Slow-Fading MIMO Systems With Nonseparable Correlation
• Asymptotic eigenvalue distribution of block Toeplitz matrices and application to blind SIMO channel identification

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