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Spectral decomposition of real circulant matrices. (English) Zbl 1021.15007

The authors present spectral decompositions and singular value decompositions of four types of real circulant matrices.

MSC:

15A18 Eigenvalues, singular values, and eigenvectors
15B57 Hermitian, skew-Hermitian, and related matrices
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References:

[1] Bracewell, R. N., The Hartley Transform (1986), Oxford University Press: Oxford University Press New York · Zbl 0608.42001
[2] Davis, P. J., Circulant Matrices (1979), Wiley: Wiley New York, Chichester, Brisbane · Zbl 0418.15017
[4] Ruiz-Claeyssen, J. C.; dos Santos Leal, L. A., Diagonalization and spectral decomposition of factor block circulant matrices, Linear Algebra Appl., 99, 41-61 (1988) · Zbl 0641.15010
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