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 ...

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 ...

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 ...