Checking if minimum of a matrix occurs on the diagonal
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For a matrix, I would like to check if the minimum value of each row is found on the diagonal. The minimum value can occur more than once within a row. Since the min command returns the index of the first occurrence of the minimum, min can miss later occurrences on the diagonal, as follows:
testMatrix = [ 1 3 5 1
2 0 4 6
3 9 2 7
-2 9 4 -2];
[~, iMin] = min(a)
iMin =
4 2 3 4
How can I check if the row minimum is found on the diagonal? I am working with a very large matrix in reality, so I would like to avoid looping down the rows.
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Réponse acceptée
Julian Hapke
le 4 Oct 2018
with a slight modification of Adams comment:
diag(testMatrix) == min(testMatrix , [], 2)
min accepts the dimension in which you want the minimum, in this case you want the minimum of each row, so in direction 2 and check against the diagonal of the matrix
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