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

flag	asked Aug 24 at 12:37 Felix Goldberg 2,407●5●12

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The paternal matrix? ;) – Mark Grant Aug 24 at 12:47

Interesting idea :) – Felix Goldberg Aug 24 at 12:51

$A$ diagonally conjugated by $D$? – Igor Khavkine Aug 24 at 12:52

Or just $A$ conjugated by $D$. – Deane Yang Aug 24 at 13:09

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I'd reserve the word "conjugated" for something like $DAD^{-1}$. – Andreas Blass Aug 24 at 14:32

Federico Poloni · Answer 1 · 2012-08-24 13:23:50Z UTC

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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 at 13:23

Federico Poloni
4,449●1●12●25

name for a matrix operation

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