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block diagonalisation matrices

• To: mathgroup at smc.vnet.net
• Subject: [mg23889] block diagonalisation matrices
• From: "M.T.BAH" <M.T.BAH at soton.ac.uk>
• Date: Thu, 15 Jun 2000 00:51:27 -0400 (EDT)
• Organization: University of Southampton
• Sender: owner-wri-mathgroup at wolfram.com

Hi

1. Do you know any reference on circulant and block circulant matrices?

2. Suppose we have a block circulant matrix  A=Circ(A1, A2, A3....An)
where  Ai (i=1...n) are square and symmetric matrices of size mxm.

Suppose the n matrices on the diagonal become different (for exemple the
last elements in each submatrix on the diagonal are somehow
perturbed)and  A is no more block circulant. How would you diagonalise
A?

If you have any idea or know any reference dealing with the
diagonalisation of such matrices, please let me know.



Thanks in advance