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