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Aug 13, 2017 at 18:58 comment added Suvrit More precisely: the correct distance is actually $d(A,B)=\|\log(B^{-1/2}AB^{-1/2})\|_F$; since $AB^{-1}$ is not symmetric one has to otherwise take a bit of care when computing $\log$ (intuitively, the distance in question is to be computed via eigenvalues not singular values).
Dec 2, 2014 at 14:39 vote accept Denis Serre
Dec 2, 2014 at 13:33 history edited Thomas Richard CC BY-SA 3.0
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Dec 2, 2014 at 13:25 history answered Thomas Richard CC BY-SA 3.0