Let $A$ be a matrix. I am most interested in the real, symmetric case, but for full understanding let's let $A$ be complex. What does it mean for $A^D$ to be the dual matrix of $A$?
Can we interpret it in terms of the SVD of $A=U\Sigma U^T$?
Note: This is not merely the transpose. See 6.1 in http://arxiv-web3.library.cornell.edu/pdf/1211.2671v4.pdf for an example of this term.
I've included the tags random matrices and probability distributions since that has something to do with the unconventional context in which I found this term used. I do not know to what extent they are relevant.