Orthogonal Procrustes problem

The orthogonal Procrustes problem is a matrix approximation problem in linear algebra. In its classical form, one is given two matrices ${\displaystyle A}$ and ${\displaystyle B}$ and asked to find an orthogonal matrix ${\displaystyle R}$ which most closely maps ${\displaystyle A}$ to ${\displaystyle B}$. Specifically,

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