Eigenvalues of partitioned matrices "generated" by a matrix with known eigenvalues
M. Gyr · IEEE Transactions on Automatic Control · 1974
A method is shown which allows to compute the eigenvalues of anmn-dimensional square matrixFfrom the eigenvalues of ann-dimensional matrixA, if the m2submatrices ofFare describable by convergent power series ofA. As an illustration, matrices arising in a multivariable feedback control system are considered.