Algorithm for a commutation matrix

2016 3 28
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更新时间：2016 3 29
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Hi everybody, need help to design a Matlab code function that creates a commutation matrix K of size (mn,mn) such that, for a (m,n) matrix A:
vec(A')=K vec(A)
where the vec operator is such that, for example, if:
Thanks for your help.
best,

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Luciano Campos
Luciano Campos 2016-3-29

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I've worked this out. No further help needed.
Thanks anyway.
best,

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Walter Roberson
Walter Roberson 2016-3-28

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You have not defined Commutation Matrix correctly. You have defined it in terms of Conjugate Transpose, but it is instead defined in terms of Transpose.
https://en.wikipedia.org/wiki/Commutation_matrix

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Luciano Campos
Luciano Campos 2016-3-29
Hi Walter,
Thanks for your answer, but I don't really see the difference between the way I defined the commutation matrix and how it's defined in Wikipedia. In any case, I'd really appreciate if you can help me coding it.
best,

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