On the spectrum of noisy blown-up matrices

DOI10.1515/spma-2020-0010zbMath1437.15048OpenAlexW3021564357MaRDI QIDQ2175189

Sándor Pecsora, István Fazekas

Publication date: 28 April 2020

Published in: Special Matrices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/spma-2020-0010

zbMATH Keywords

eigenvaluerandom matrixsymmetric matrixsingular valueblown-up matrixperturbation of a matrix

Mathematics Subject Classification ID

Strong limit theorems (60F15) Eigenvalues, singular values, and eigenvectors (15A18) Random matrices (algebraic aspects) (15B52)

Uses Software

• Julia

Cites Work

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• Erratum to: Outliers in the spectrum of iid matrices with bounded rank perturbations
• Recognizing linear structure in noisy matrices
• Singular value decomposition of large random matrices (for two-way classification of microarrays)
• The eigenvalues of random symmetric matrices
• Low rank perturbations of large elliptic random matrices
• General Bahr-Esseen inequalities and their applications
• Convergence of series of dependent \(\varphi \)-sub-Gaussian random variables
• Spectra of Nearly Hermitian Matrices
• A Bernstein type inequality for NOD random variables and applications
• Spectral norm of random matrices

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