How can I make a matrix with diagonals composed of matrices?

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Sebastian
Sebastian 2014-10-3
编辑： Matt J 2014-10-3
See attached image. A is a 2x2 and B is a 2x1 (although it would be nice to generalize).
Any suggestions on how to easily create this matrix? I know I could use a for loop, but is there some easier way using matlab functions?

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回答（2 个）

Matt J
Matt J 2014-10-3
编辑：Matt J 2014-10-3
I don't think you can or should avoid a for-loop, but there are ways to use looping more economically,
C=cell(1,N+1);
C{1}=zeros(size(B));
C{2}=B;
for i=3:N+1
C{i}=A*C{i-1};
end
idx=toeplitz(1:N+1,ones(1,N+1));
result=cell2mat( C(idx) )
Star Strider
Star Strider 2014-10-3
The blkdiag function is your friend here. It was intended for just this purpose.

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