Eigenvectors of Block Circulant and Alternating Circulant Matrices

  title={Eigenvectors of Block Circulant and Alternating Circulant Matrices},
  author={Garry J. Tee},
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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Publications referenced by this paper.
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A note on block circulant matrices

  • Chong-Yun Chao
  • 1974

Inverses of circulant matrices and block circulant matrices

  • R. Turcajová
  • Kyungpook Mathematical Journal
  • 1973

Eigenvalues of composite matrices ,

  • T. Muir
  • Proceedings of the Cambridge Philosophical…
  • 1961

A novel finite-difference approximation to the biharmonic opera

  • G. J. Tee
  • Reprint edition,
  • 1960

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