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How to update matrix values using algorithm based on position?

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Suppose I've already create a square matrix, A=zeros(n).
Now let's say, for every position, A(i,j), I want to update the value to 1 / (i + j^2), can I do this easily?
Thanks!

Accepted Answer

Matt Fig
Matt Fig on 22 Sep 2012
Edited: Matt Fig on 22 Sep 2012
The straightforward way is to just use a loop:
A = zeros(n);
for ii = 1:n
for jj = 1:n
A(ii,jj) = 1/(ii+jj^2);
end
end
Here is another way to do it:
B = bsxfun(@(x,y) 1./(x+y.^2),(1:n).',1:n)

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