Matrices with variable dimension

Hey guys,

I need to create two Matrices Q_tilde and B_tilde with variable dimensions depending on a given N (can be any natural number) as follow :

As a beginner who's still learning about MATLAB, I'm struggling a bit on how to do so and would really appreciate any help.

[Torsten]

What are n and m ? From your handwritten script, I assume n = 2 and m = 1. Or do you want to keep these values also variable depending on the dimensions of A and B ?

[wissal zaher]

n = 2 and m = 1 because the B Matrix remains constant.

Answer 1

[Matt J]

A=[1,0.1;0 1];
B=[0.005;0.1];

[n,m]=size(B);
z=zeros(n,m);

C=repmat({z},N+1,1);
C{2}=B;
for i=3:N+1
 C{i}=A*C{i-1};
end

T=toeplitz(1:N+1,ones(1,N))

Q_tilde=blkdiag(speye(2*N),P);
B_tilde=cell2mat(C(T));

[wissal zaher]

Thank you for the reply, I think this is a very good way to get B_tilde, howerer the dimension should be 16x7 and with your code it gives out a 14x7 Matrix

[Matt J]

Fixed.