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    <p>MATLAB cannot determine that your loop is order independent because of the way you're accessing correlations(1) from multiple iterations of the PARFOR loop. It looks like this value is in some way 'special', it should work to make a 'reduction' variable, i.e. replace <code>correlations(1)</code> with <code>correlations_1</code> or something.</p> <p>The next problem you'll encounter is that you are not correctly 'slicing' the remainder of <code>correlations</code>. For MATLAB to analyse a PARFOR loop, it needs to be able to tell that each loop iteration is writing only to its 'slice' of the output variables. In practice, this means that you must index the outputs using literally the loop index.</p> <p>More about PARFOR variable classification here: <a href="http://www.mathworks.com/help/distcomp/advanced-topics.html#bq_of7_-1" rel="nofollow">http://www.mathworks.com/help/distcomp/advanced-topics.html#bq_of7_-1</a></p> <p>EDIT:</p> <p>If you want <code>correlations</code> to behave strictly as a reduction variable as I believe you imply in your comments, you need to give PARFOR a clue that's what you mean: in particular, you need to add to the whole variable each time you need to. In other words, something more like:</p> <pre><code>parfor ... dummyVec = zeros(1, N); dummyVec(elementToIncrement) = 1; correlations = correlations + dummyVec; end </code></pre> <p>I agree this is non-obvious. See <a href="http://blogs.mathworks.com/cleve/2012/11/26/magic-squares-meet-supercomputing/" rel="nofollow">http://blogs.mathworks.com/cleve/2012/11/26/magic-squares-meet-supercomputing/</a> for more.</p>
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    1. COYes this would solve the problem in line 18, but it is just delayed to line 21: correlations(dts) = correlations(dts) + 1; Here the solution fails, because correlations needs to be an array here and can not be replaced with a variable.
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    2. COYes, that's why I said that you're not slicing `correlations` correctly.
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