Distribution of the eigenvalues of random block-matrices.

DOI10.1016/j.laa.2003.08.015zbMath1042.15014OpenAlexW2081670585MaRDI QIDQ1418980

Marianna Bolla

Publication date: 14 January 2004

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

Full work available at URL: https://doi.org/10.1016/j.laa.2003.08.015

zbMATH Keywords

random matricesasymptotic behavioursymmetric matrixrandom graphstochastic matrixcentral limit and other weak theoremsinequalities involving eigenvalues and eigenvectors

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Random graphs (graph-theoretic aspects) (05C80) Inequalities involving eigenvalues and eigenvectors (15A42) Random matrices (algebraic aspects) (15B52)

Related Items (9)

On the spectral distribution of large weighted random regular graphs ⋮ Graph connection Laplacian and random matrices with random blocks ⋮ Noisy random graphs and their laplacians ⋮ Spectral analysis of large block random matrices with rectangular blocks ⋮ Recognizing linear structure in noisy matrices ⋮ Reconstruction of Kauffman networks applying trees ⋮ Singular value decomposition of large random matrices (for two-way classification of microarrays) ⋮ On some spectral properties of large block Laplacian random matrices ⋮ Random matrices with independent entries: Beyond non-crossing partitions

Cites Work

• On the distribution of the roots of certain symmetric matrices
• The eigenvalues of random symmetric matrices
• Spectra and optimal partitions of weighted graphs
• On the asymptotic distribution of the eigenvalues of random matrices
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