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A note on symmetric block circulant matrix. (English) Zbl 0776.15004

Summary: C.-Y. Chao [Linear Algebra Appl. 103, 133-148 (1988; Zbl 0647.15015)] has studied the spectral properties of a symmetric circulant matrix. But his results on a symmetric block matrix with circulant blocks are incorrect. In this note we study the eigenvalue problem for a symmetric block ciculant matrix. When each block in it is a circulant matrix, our result corrects the errors in Chao’s paper.

MSC:

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

Citations:

Zbl 0647.15015
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