How to fastly calculate this real number matrix manipulation?

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Hancheng Zhu
Hancheng Zhu 2025-2-25
编辑： Matt J 2025-2-25
I have a matrix X with dimensional . I want to calculate a matrix M with the same dimension as X. The element of M is calculated as follows
, where . In this equation, is the element of the matrix M and represents the product of a bunch of factors.
I know using for loop by extracting the element of X can obtain this matrix M but it is not efficient. Is there any other way to fastly calculate this matrix from X?

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回答（1 个）

Matt J
Matt J 2025-2-25
编辑：Matt J 2025-2-25
e=(1:A)';
I=reshape(e,1,1,[]) == repmat( e,1,B);
Xp=permute(X,[3,2,1]);
D=X./(X-Xp);
D(I)=1;
M = ipermute( prod(D,1) ,[3,2,1]);

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