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The following are examples of vectorization questions asked by actual users of Octave and their solutions.
A, the following loop
n = length (A) - 1; B = zeros (n, 2); for i = 1:n ## this will be two columns, the first is the difference and ## the second the mean of the two elements used for the diff. B(i,:) = [A(i+1)-A(i), (A(i+1) + A(i))/2]; endfor
can be turned into the following one-liner:
B = [diff(A)(:), 0.5*(A(1:end-1)+A(2:end))(:)]
Note the usage of colon indexing to flatten an intermediate result into a column vector. This is a common vectorization trick.