MATLAB: Fast correlation computation for all indices in 2 vectors

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I have 2 vectors A and B, each of length 10,000. For each of ind=1:10000, I want to compute the Pearson's correlation of A(1:ind) and B(1:ind). When I do this in a for loop, it takes too much time. parfor does not work with more than 2 workers in my machine. Is there a way to do this operation fast and save results in a vector C (apparently of length 10,000 where the first element is NaN)? I found the question Fast rolling correlation in Matlab, but this is a little different than what I need.

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