Cao, Zhihao A note on symmetric block circulant matrix. (English) Zbl 0776.15004 J. Math. Res. Expo. 10, No. 3, 469-473 (1990). 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. Cited in 3 Documents MSC: 15A18 Eigenvalues, singular values, and eigenvectors 15B57 Hermitian, skew-Hermitian, and related matrices Keywords:symmetric block circulant matrix; symmetric circulant matrix; symmetric block matrix; eigenvalue Citations:Zbl 0647.15015 PDFBibTeX XMLCite \textit{Z. Cao}, J. Math. Res. Expo. 10, No. 3, 469--473 (1990; Zbl 0776.15004)