The Normal Procrustes Problem: A Riemannian Optimization Approach

For given $m \times n$ data matrices $X, Y$, we investigate the Normal Procrustes Problem---the least squares optimization problem that aims to minimize $\|AX-Y\|_F^2$, where $A$ is constrained to be a normal $m \times m$ matrix. As far as the author of this article is aware, no other method that at