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Nearest matrix orthogonally similar to a given matrix

Given $A,B\in\Bbb R^{n\times n}$ is there a technique find $\min_{ T\in O(n,\Bbb R)}\|A-TBT^{-1}\|_F$ or $\min_{ T\in O(n,\Bbb R)}\|A-TBT^{-1}\|_2$?

Turbo
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