Given two positive semidefinite matrices X, and Y. My question is, can we use von Neumann or the log-Determinant divergences to measure the distance between the two matrices. Most Manifold measure distance require two positive definite (PD) matrices.
In this paper, the authors used the log-Determinant divergence with two positive semidefinite matrices (PSD). However, from what I know, the two divergences are for measures involving positive definite matrices (PD).
Any insight please.