| A circulant matrix whose elements are square submatrices is called a compound-circulant matrix. The eigenvectors and eigenvalues had been found for symmetric compound-circulant matrices, and that method is extended to general compound-circulant matrices. That analysis is applied to Stephen J. Watson's alternating circulant matrices, which reduce to compound-circulant matrices with square submatrices of order 2. |
Keywords
eigenvectors, eigenvalues, circulant, compound-circulant,alternating circulant, spectral radius, Jordan canonical form, defective eigenvectors.
Math Review Classification
Primary 15A57 15A18
; Secondary 15A42
Last Updated
2002-2-7
Length
17 pages
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