For every symmetric ("palindromic") word S(A, B) in two positive definite letters and for each fixed n-by-n positive definite B and P, it is shown that the symmetric word equation S(A, B) = P has an n ...

This is a preview. Log in through your library . Abstract Let X:p × n be a matrix of random real variates such that the column vectors of X are independently and identically distributed as ...

Riemannian geometry offers an elegant mathematical framework for the analysis of data that naturally resides on curved spaces, particularly the manifold of symmetric positive definite (SPD) matrices.

Positive definite matrices play a central role in mathematics, physics, statistics and engineering due to their unique properties and widespread applicability. These matrices, which are characterised ...