Eigenvectors of Block Circulant and Alternating Circulant Matrices

@inproceedings{Tee2005EigenvectorsOB,
  title={Eigenvectors of Block Circulant and Alternating Circulant Matrices},
  author={Garry J. Tee},
  year={2005}
}
The eigenvectors and eigenvalues of block circulant matrices had been found for real symmetric matrices with symmetric submatrices, and for block circulant matrices with circulant submatrices. The eigenvectors are now found for general block circulant matrices, including the Jordan Canonical Form for defective eigenvectors. That analysis is applied to Stephen J. Watson’s alternating circulant matrices, which reduce to block circulant matrices with square submatrices of order 2. 
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