Extremum Of Circulant Type Matrices: A Survey

Arup, Bose ; Hazra, R. S. Extremum Of Circulant Type Matrices: A Survey Journal of the Indian Statistical Association, 50 (1&2). pp. 21-49. ISSN 0537-2585

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We survey some recent results on the behaviour of maximum, minimum, spectral norm and point process convergence of the eigenvalues of circulant type random matrices with both light tailed and heavy tailed input sequences. We also point out some recent results on other related matrices such as Toeplitz and Hankel matrices. We end the article with a description of a few open problems on these matrices.

Item Type:Article
Source:Copyright of this article belongs to Indian Statistical Association, Bombay.
Keywords:Circulant Matrix; Eigenvalues; Gumbel Distribution; K-Circulant Matrix; Large Dimensional Random Matrix; Reverse Circulant Matrix; Hankel Matrix; Spectral Norm; Spectral Radius; Stable Law; Symmetric Circulant Matrix; Toeplitz Matrix; Eeak Convergence.
ID Code:121167
Deposited On:12 Jul 2021 08:36
Last Modified:12 Jul 2021 08:36

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