Let $A=BD^{\dagger}B^{T}$. I am looking for conditions under which $A^{\dagger}$ is a "nice" expression in $B$ and $D$ and their Moore-Penrose pseudo-inverses.
Do you know of such conditions?
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asked Nov 14, 2012 at 23:45
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$\begingroup$ Felix, a reverse order law for the triple product might give some nice answer. For instance, see R. Hartwig, The reverse order law revisited, Linear Algebra Appl., 76 (1986), 241-246. $\endgroup$– user27020Commented Nov 15, 2012 at 3:10
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$\begingroup$ @SJ: Thanks a lot, this looks very relevant. Maybe you would like to write this as an answer so I can accept it? $\endgroup$– Felix GoldbergCommented Nov 15, 2012 at 8:17
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