## How to generate block toeplitz matrix

### Ali Bulut ÜÇÜNCÜ (view profile)

on 16 Oct 2015
Latest activity Edited by Royi Avital

on 13 Mar 2019

### Matt J (view profile)

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

### Matt J (view profile)

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),

on 16 Oct 2015
Edited by Matt J

### Matt J (view profile)

on 16 Oct 2015

Q={A,B,C}; %blocks
n=length(Q);
result = cell2mat(Q(toeplitz(1:n)));

Ali Bulut ÜÇÜNCÜ

### Ali Bulut ÜÇÜNCÜ (view profile)

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 (view profile)

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.