Is there a term for the operation $A B A^T$? In colloquial terms, I might call this a "sandwich" of a matrix between another matrix and the transpose of that other matrix.


How about for the special case where $B$ (as well as $A B A^T$) is symmetric? This shows up often in Kalman filtering.


I would like to look up some properties of this kind of operation but I'm not sure what to search for.



Is there a term for the operation of multiplying the product of two matrices by the transpose of the first matrix?
If $B=XAX^T$ classically one says that A and B are congruent.


