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How to generate block toeplitz matrix

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Ali Bulut ÜÇÜNCÜ
Ali Bulut ÜÇÜNCÜ on 16 Oct 2015
Edited: Royi Avital on 13 Mar 2019
I want to generate a block toeplitz matrix in MATLAB, that is [A B C; B A B; C B A] , where A B and C are matrices (if they were scalars, the matlab function "toeplitz" would simply work). Does anyone have any simple way to generate such a matrix?

  1 Comment

Matt J
Matt J on 13 Mar 2019
leo cha's comment moved here:
I have problem, for example
if
for i = 1:200
Q(:, :, 1, i) = magic(2);
end
I would like to generate a block toeplitz matrix, where each block is Q(:, :, 1, i),

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Accepted Answer

Matt J
Matt J on 16 Oct 2015
Edited: Matt J on 16 Oct 2015
Q={A,B,C}; %blocks
n=length(Q);
result = cell2mat(Q(toeplitz(1:n)));

  2 Comments

Ali Bulut ÜÇÜNCÜ
Ali Bulut ÜÇÜNCÜ on 17 Oct 2015
What if we have A,B and C matrices in a single matrix? That is D=[A B C];
Royi Avital
Royi Avital on 19 Jan 2019
This could be extended to assymetric case.
For instance if we want the upper triangle to be zero we can do something like:
Q = {A, B, C, Z}; %blocks
n = length(Q);
vC = 1:n;
vR = 4 * ones(n, 1); vR(1) = vC(1);
result = cell2mat(Q(toeplitz(vC, vR)));
Where Z is zeros.

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