# How to generate block toeplitz matrix

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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?
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),

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)));
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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.