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Spectral distribution of symmetrized circulant matrices

Part of: Basic linear algebra Special matrices

Published online by Cambridge University Press:  03 June 2021

Alain Bourget
Alain Bourget*
Affiliation:
Department of Mathematics, California State University at Fullerton, Fullerton, CA92834, USA
*
e-mail: abourget@fullerton.edu
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Abstract

We provide a description of the spectrum and compute the eigenvalues distribution of circulant Hankel matrices obtained as symmetrization of classical Toeplitz circulant matrices. Other types of circulant matrices such as simple and Cesàro circulant matrices are also considered.

Keywords

Hankel matricescirculant matriceseigenvalues distribution

MSC classification

Primary: 15B05: Toeplitz, Cauchy, and related matrices
Secondary: 15A18: Eigenvalues, singular values, and eigenvectors
Type
Article
Information
Canadian Mathematical Bulletin , Volume 65 , Issue 2 , June 2022 , pp. 431 - 446
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Copyright
© Canadian Mathematical Society 2021

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