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 ...

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 In this paper we consider estimating the rank of an unknown symmetric matrix based on a symmetric, asymptotically normal estimator of the ...