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If $A$ is a matrix and $D$ is a diagonal matrix, is there some special name for $DAD$?

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4  
The paternal matrix? ;) –  Mark Grant Aug 24 '12 at 12:47
    
Interesting idea :) –  Felix Goldberg Aug 24 '12 at 12:51
    
$A$ diagonally conjugated by $D$? –  Igor Khavkine Aug 24 '12 at 12:52
    
Or just $A$ conjugated by $D$. –  Deane Yang Aug 24 '12 at 13:09
4  
I'd reserve the word "conjugated" for something like $DAD^{-1}$. –  Andreas Blass Aug 24 '12 at 14:32

1 Answer 1

up vote 11 down vote accepted

it is called "diagonal congruence" here. This makes sense, at least when $D$ is real, since it is a congruence. "Conjugate" sounds more like $D^{-1}AD$ or $\overline{A}$ to me.

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