Re: What is a block Toeplitz matrix?

From: olivier ruatta (oruatta_at_free.fr)
Date: 12/31/04 

Date: Fri, 31 Dec 2004 14:16:34 +0100

Dennis Hsu wrote:
> I have a matrix:
>
> | A0 A1 0 0 0 |
> | A1 A0 A1 0 0 |
> A=| 0 A1 A0 A1 0 |
> | 0 0 A1 A0 A1 |
> | 0 0 0 A1 A0 |
>
> ,where A0 and A1 are matrices. In the diagonal matrix A0, the diagonal
> elements are not equal, eg.
>
> | a11 a12 a13 |
> A0= | a21 a22 a23 |
> | a31 a32 a33 |
>
> a11 != a22 != a33.
>
> Whether the matrix A is a block Toeplitz matrix, or not?
Yes, this is a block Toeplitz matrix. If the blocks ar also of Toeplitz
type, the matrix is called Toeplitz block Toeplitz.

Regards,
O.