How can I create this orthogonal matrix using MATLAB?

I would like to create the following matrix for know m and n.
The matrix is in the following format for 1<=j<=n. Thanks.

2 个评论

hi, Can you mention the source of the orthogonal matrix above?
The other question is if m=n, what can you say about Lnn?

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 采纳的回答

If m>n the following should work.
m=8;
n=5;
L=zeros(m,n);
for j=1:n
L(:,j)=((m-n+j-1).*(m-n+j)).^(-1/2).*[ones(m-n+j-1,1) ; -(m-n+j-1) ; zeros(n-j,1)];
end
disp(L)
If m<=n, a similar approach should be possible (but this exact code will generate errors).

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