Double, borderline, and extraordinary eigenvalues of Kac-Murdock-Szegö matrices with a complex parameter

George Fikioris, Themistoklis K. Mavrogordatos

For all sufficiently large complex $\rho$, and for arbitrary matrix dimension $n$, it is shown that the Kac--Murdock--Szegő matrix $K_n(\rho )={\left[{\rho }^{|j-k|}\right]}_{j,k=1}^n$ possesse…