Diagonalization and spectral decomposition of factor block circulant matrices

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Abstract

We introduce factor circulant matrices: matrices with the structure of circulants, but with the entries below the diagonal multiplied by the same factor. The diagonalization of a circulant matrix and spectral decomposition are conveniently generalized to block matrices with the structure of factor circulants. Differential equations involving factor circulants are considered. © 1988.

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Ruiz Claeyssen, J. C., & dos Santos Leal, L. A. (1988). Diagonalization and spectral decomposition of factor block circulant matrices. Linear Algebra and Its Applications, 99(C), 41–61. https://doi.org/10.1016/0024-3795(88)90124-3

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