If $A$ is a matrix and $D$ is a diagonal matrix, is there some special name for $DAD$?
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asked Aug 24, 2012 at 12:37
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4$\begingroup$ The paternal matrix? ;) $\endgroup$– Mark GrantCommented Aug 24, 2012 at 12:47
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$\begingroup$ Interesting idea :) $\endgroup$– Felix GoldbergCommented Aug 24, 2012 at 12:51
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$\begingroup$ $A$ diagonally conjugated by $D$? $\endgroup$– Igor KhavkineCommented Aug 24, 2012 at 12:52
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$\begingroup$ Or just $A$ conjugated by $D$. $\endgroup$– Deane YangCommented Aug 24, 2012 at 13:09
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4$\begingroup$ I'd reserve the word "conjugated" for something like $DAD^{-1}$. $\endgroup$– Andreas BlassCommented Aug 24, 2012 at 14:32
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1 Answer
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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.
answered Aug 24, 2012 at 13:23